Classification of groups of order 24

This article gives specific information, namely, classification, about a family of groups, namely: groups of order 24.
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Statement

There are, up to isomorphism, 15 groups of order 24, given as follows:

Group	Second part of GAP ID (ID is (24,second part))	Nilpotency class	Derived length	2-Sylow subgroup	Is the 2-Sylow subgroup normal?	Is the 3-Sylow subgroup normal?
nontrivial semidirect product of Z3 and Z8	1	not nilpotent	2	cyclic group:Z8	No	Yes
cyclic group:Z24	2	1	1	cyclic group:Z8	Yes	Yes
special linear group:SL(2,3)	3	not nilpotent	3	quaternion group	Yes	No
dicyclic group:Dic24	4	not nilpotent	2	quaternion group	No	Yes
direct product of S3 and Z4	5	not nilpotent	2	direct product of Z4 and Z2	No	Yes
dihedral group:D24	6	not nilpotent	2	dihedral group:D8	No	Yes
direct product of Dic12 and Z2	7	not nilpotent	2	direct product of Z4 and Z2	No	Yes
SmallGroup(24,8)	8	not nilpotent	2	dihedral group:D8	No	Yes
direct product of Z6 and Z4 (also, direct product of Z12 and Z2)	9	1	1	direct product of Z4 and Z2	Yes	Yes
direct product of D8 and Z3	10	2	2	dihedral group:D8	Yes	Yes
direct product of Q8 and Z3	11	2	2	quaternion group	Yes	Yes
symmetric group:S4	12	not nilpotent	3	dihedral group:D8	No	No
direct product of A4 and Z2	13	not nilpotent	2	elementary abelian group:E8	Yes	No
direct product of D12 and Z2 (also direct product of S3 and V4)	14	not nilpotent	2	elementary abelian group:E8	No	Yes
direct product of E8 and Z3	15	1	1	elementary abelian group:E8	Yes	Yes