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Groups of order 1320 - Revision history
2026-06-01T13:03:51Z
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Vipul: Created page with "{{groups of order|1320}} ==GAP implementation== {{this order in GAP|order = 1320|idgroup = yes}} <pre>gap> SmallGroupsInformation(1320); There are 181 groups of order 13..."
2012-05-21T21:44:40Z
<p>Created page with "{{groups of order|1320}} ==GAP implementation== {{this order in GAP|order = 1320|idgroup = yes}} <pre>gap> SmallGroupsInformation(1320); There are 181 groups of order 13..."</p>
<p><b>New page</b></p><div>{{groups of order|1320}}<br />
<br />
==GAP implementation==<br />
<br />
{{this order in GAP|order = 1320|idgroup = yes}}<br />
<br />
<pre>gap> SmallGroupsInformation(1320);<br />
<br />
There are 181 groups of order 1320.<br />
They are sorted by their Frattini factors.<br />
1 has Frattini factor [ 330, 1 ].<br />
2 has Frattini factor [ 330, 2 ].<br />
3 has Frattini factor [ 330, 3 ].<br />
4 has Frattini factor [ 330, 4 ].<br />
5 has Frattini factor [ 330, 5 ].<br />
6 has Frattini factor [ 330, 6 ].<br />
7 has Frattini factor [ 330, 7 ].<br />
8 has Frattini factor [ 330, 8 ].<br />
9 has Frattini factor [ 330, 9 ].<br />
10 has Frattini factor [ 330, 10 ].<br />
11 has Frattini factor [ 330, 11 ].<br />
12 has Frattini factor [ 330, 12 ].<br />
13 has Frattini factor [ 660, 13 ].<br />
14 has Frattini factor [ 660, 14 ].<br />
15 - 21 have Frattini factor [ 660, 15 ].<br />
22 has Frattini factor [ 660, 16 ].<br />
23 - 27 have Frattini factor [ 660, 17 ].<br />
28 - 32 have Frattini factor [ 660, 18 ].<br />
33 - 37 have Frattini factor [ 660, 19 ].<br />
38 - 40 have Frattini factor [ 660, 20 ].<br />
41 has Frattini factor [ 660, 21 ].<br />
42 has Frattini factor [ 660, 22 ].<br />
43 has Frattini factor [ 660, 23 ].<br />
44 has Frattini factor [ 660, 24 ].<br />
45 - 51 have Frattini factor [ 660, 25 ].<br />
52 - 58 have Frattini factor [ 660, 26 ].<br />
59 - 65 have Frattini factor [ 660, 27 ].<br />
66 - 72 have Frattini factor [ 660, 28 ].<br />
73 - 79 have Frattini factor [ 660, 29 ].<br />
80 - 86 have Frattini factor [ 660, 30 ].<br />
87 - 93 have Frattini factor [ 660, 31 ].<br />
94 has Frattini factor [ 660, 32 ].<br />
95 - 99 have Frattini factor [ 660, 33 ].<br />
100 - 104 have Frattini factor [ 660, 34 ].<br />
105 - 109 have Frattini factor [ 660, 35 ].<br />
110 - 114 have Frattini factor [ 660, 36 ].<br />
115 - 119 have Frattini factor [ 660, 37 ].<br />
120 - 124 have Frattini factor [ 660, 38 ].<br />
125 - 129 have Frattini factor [ 660, 39 ].<br />
130 - 132 have Frattini factor [ 660, 40 ].<br />
133 - 181 have trivial Frattini subgroup.<br />
<br />
For the selection functions the values of the following attributes<br />
are precomputed and stored:<br />
IsAbelian, IsNilpotentGroup, IsSupersolvableGroup, IsSolvableGroup,<br />
LGLength, FrattinifactorSize and FrattinifactorId.<br />
<br />
This size belongs to layer 5 of the SmallGroups library.<br />
IdSmallGroup is available for this size.</pre></div>
Vipul