Finite Group Databasebeta

← #13093364⋊D3 #22580282

Subgroups — #13093364⋊D3 #22580282

Order 8892.

88 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3⋊#13093360C211yesmaximal, characteristic, complemented
2C3⋊#13093366C211yesmaximal, characteristic, complemented
3C3×#13093364C211yesmaximal, characteristic, complemented
4D13×D57C311yesmaximal, characteristic, complemented
5#13093360⋊C2—31nomaximal
6C3×#10625202C2211yescharacteristic, complemented, Hall
7D741C2×C311yescharacteristic, complemented
8C13×D57C2×C311yescharacteristic, complemented
9C3×C19×D13C2×C311yescharacteristic, complemented
10#13093366—31no—
11#13093364—21no—
12#13093364D311yescharacteristic, complemented
13#13093360—31no—
14D13×D19—31noHall
15C3×C13×C19C22×C311yescharacteristic, complemented
16#10625202—21no—
17#10625202C2×D311yescharacteristic, complemented
18C2×C3⋊(D19⋊C3)—131nomaximal, Hall
19D247—31no—
20C13×D19—31no—
21C19×D13C3×D311yescharacteristic, complemented
22D3×D13⋊C3—191nomaximal, Hall
23C2×C3×C19⋊C3—131no—
24C3⋊(D19⋊C3)—131no—
25C3⋊(D19⋊C3)—131no—
26C13×C19C2×C3×D311yescharacteristic, complemented, Hall
27C3⋊(D13⋊C3)—191no—
28D3×C13⋊C3—191no—
29C3×D13⋊C3—191no—
30C2×D57—131no—
31C2×D19⋊C3—391no—
32C3×C19⋊C3—131noHall
33D3×D13—191no—
34C2×D13⋊C3—571no—
35C3×C13⋊C3—191noHall
36C2×C3×C19—131no—
37D57—131no—
38D57D13⋊C311yescharacteristic, complemented
39C2×C19⋊C3—131no—
40C2×C19⋊C3—261no—
41D19⋊C3—391no—
42D19⋊C3—391no—
43D39—191no—
44C3×D13D19⋊C311yescharacteristic, complemented
45D3×C13—191no—
46C2×C13⋊C3—571no—
47D13⋊C3—191no—
48D13⋊C3—381no—
49D13⋊C3—571no—
50C2×D19—391noHall
51C3×C19C2×D13⋊C311yescharacteristic, complemented
52C19⋊C3—131no—
53C19⋊C3—261no—
54C2×D13—571noHall
55C3×C13C2×D19⋊C311yescharacteristic, complemented
56C13⋊C3—191no—
57C13⋊C3—381no—
58C2×C19—131no—
59D19—31no—
60D19—391no—
61C2×C3×D3—2471noHall
62C2×C13—571no—
63D13—571no—
64D13C3⋊(D19⋊C3)11yescharacteristic, complemented
65C19D3×D13⋊C311yescharacteristic, complemented, Sylow
66C2×C32—2471no—
67C3×D3—2471no—
68C3×D3—2471no—
69C13C2×C3⋊(D19⋊C3)11yescharacteristic, complemented, Sylow
70C22×C3—7411no—
71C2×D3—2471no—
72C32—2471noSylow
73C2×C3—131no—
74C2×C3—7411no—
75C2×C3—7411no—
76C2×C3—4941no—
77C2×C3—2471no—
78D3—191no—
79D3—2471no—
80C22—7411noSylow
81C3—4941no—
82C3—2471no—
83C3#13093360⋊C211yescharacteristic, complemented
84C2—131no—
85C2—571no—
86C2—7411no—
subgroupG/H
center, Frattini, hypercenterC1G
commutator, Fitting, socle, hypocenterC3×C13×C19C22×C3
LCSG ▷ C3×C13×C19
UCSC1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C3⋊#13093360C2semidirect
2. C3⋊#13093366C2semidirect
3. C3×#13093364C2semidirect
4. D13×D57C3semidirect
6. C3×#10625202C22semidirect
7. D741C2×C3semidirect
8. C13×D57C2×C3semidirect
9. C3×C19×D13C2×C3semidirect
12. #13093364D3semidirect
15. C3×C13×C19C22×C3semidirect
17. #10625202C2×D3semidirect
21. C19×D13C3×D3semidirect
26. C13×C19C2×C3×D3semidirect
38. D57D13⋊C3semidirect
44. C3×D13D19⋊C3semidirect
51. C3×C19C2×D13⋊C3semidirect
55. C3×C13C2×D19⋊C3semidirect
64. D13C3⋊(D19⋊C3)semidirect
65. C19D3×D13⋊C3semidirect
69. C13C2×C3⋊(D19⋊C3)semidirect
83. C3#13093360⋊C2semidirect