Symmetric group:S4#Exponent of a group;12
Symmetric group:S4#Minimum size of generating set;2
Symmetric group:S4#Subgroup rank of a group;2
Symmetric group:S4#Max-length of a group;4
Symmetric group:S4#Number of subgroups;30
Symmetric group:S4#Number of conjugacy classes;5
Symmetric group:S4#Number of conjugacy classes of subgroups;11
Symmetric group:S4
Symmetric group:S4# QUERY107e1afaf27abd2b54010adc00f1bdb1
Symmetric group:S4# QUERYa354b8a4817e439b7316dbacfc4099c0
Fact about.Page::Symmetric group:S4
Symmetric group:S4# QUERY66ad828ae7d67d129c7dbb978a6eb752
Symmetric group:S4# QUERYd9b1e0821c9ef6263b49db942a32d3bd
Symmetric group:S4# QUERYfc608116e6b1ec5a9bce9dc9e8ae7e2e
Term Symmetric group:S4
Symmetric group:S4# QUERYa9a75f5fa17ed845d420af1850d8954e
Symmetric group:S4# QUERY38dac736c00235f85ee98b46761fdbc4
Symmetric group:S4 Fact
Symmetric group:S4# QUERYf26ee598267970fbdff626070ceb47da
Symmetric group:S4# QUERYc6b7a9fe1add102116ea8dea77c21906
Symmetric group:S4# QUERY99041a86afce8366df6833a01220baa6
Symmetric group:S4# QUERY4841116140193fcb9ae17b8ff4c11ca2
Symmetric group:S4# QUERY3cf5f36108b7575753fa5dee54ce6b9a
Symmetric group on finite set
Symmetric group:S4# QUERYd8a215079cc37ae0e8dc5b4dee03fcb5
Symmetric group:S4# QUERYe84534dc854595f3aa145417b6a3e6d1
Symmetric group:S4# QUERY0f2fbde8a7d5ba3d57210e6273e166e2
Order of a group 24
Symmetric group:S4# QUERY2c46463cfb77735ea25aca71bff94574
Exponent of a group 12 Order of a group 24
Symmetric group:S4# QUERYacd6782405b5c4ed7822d117a82e59e4
Exponent of a group 12
Symmetric group:S4# QUERY8af81a31ec7a65623ad7b2ed21f8eafb
Derived length 3 Order of a group 24
Symmetric group:S4# QUERY75e177f93cdca86380c19c4851b29bac
Derived length 3
Symmetric group:S4# QUERY86f0a963559c347bfb62bb5639b2c4bc
Frattini length 1 Order of a group 24
Symmetric group:S4# QUERY719861a83d4e97bddaaddb3e7b76e3e5
Frattini length 1
Symmetric group:S4# QUERY3c6b993c49d03cfb6e2d4956d672a7a4
Minimum size of generating set 2 Order of a group 24
Symmetric group:S4# QUERYc2b6b71218cc42f91e99e0ff6c1db56b
Minimum size of generating set 2
Subgroup rank of a group 2 Order of a group 24
Symmetric group:S4# QUERY54da2ed4bf95f60bb3294ddabd59fb43
Subgroup rank of a group 2
Symmetric group:S4# QUERY2efb9d62dc2164771a85458ee7bafc0e
Max-length of a group 4 Order of a group 24
Symmetric group:S4# QUERY74c6e8d9c72e1a5942e96a45abb41c1d
Max-length of a group 4
Symmetric group:S4# QUERY5026c0f2f993b37cc26bc1289364b5c4
Composition length 4 Order of a group 24
Symmetric group:S4# QUERYc27fbb6ed25854c668fe0499b04aff49
Composition length 4
Symmetric group:S4# QUERY98e023fac27cc6e8077e60ab8e628369
Chief length 3 Order of a group 24
Symmetric group:S4# QUERY2136616b8ca5977c350203a2f7c6d2a5
Chief length 3
Symmetric group:S4# QUERYc50491b3f22ac65dd61e60c095661ec6
Number of subgroups 30 Order of a group 24
Number of subgroups 30
Symmetric group:S4# QUERY8a239fa0592b9f9deb52905da4d31790
Number of conjugacy classes 5 Order of a group 24
Symmetric group:S4# QUERYe71ed69a665f2a303364684726dad64e
Number of conjugacy classes 5
Symmetric group:S4# QUERY73f27a0f765d5240815037f97dd48bde
Number of conjugacy classes of subgroups 11 Order of a group 24
Symmetric group:S4# QUERY2683b5391a92aada019db08987316c11
Number of conjugacy classes of subgroups 11
Symmetric group:S4# QUERYc8cc0777a476d5dc0c766e76a693ac1f
Symmetric group:S4# QUERYaabc9b9e4c6f4aae05741ca3ac60abb2
Subgroups of all orders dividing the group order not implies supersolvable
Sylow not implies local divisibility-closed
P-solvable not implies Glauberman type for p
Subgroups of all orders dividing the group order not implies Sylow tower
Pronormal not implies join with any distinct conjugate is the whole group