Finite Group Databasebeta

← #13093361⋊D3 #22580279

Subgroups — #13093361⋊D3 #22580279

Order 8892.

88 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3⋊#13093365C211yesmaximal, characteristic, complemented
2C3⋊#13093367C211yesmaximal, characteristic, complemented
3C3×#13093361C211yesmaximal, characteristic, complemented
4D19×D39C311yesmaximal, characteristic, complemented
5#13093361⋊C2—31nomaximal
6C3×#10625203C2211yescharacteristic, complemented, Hall
7D741C2×C311yescharacteristic, complemented
8C19×D39C2×C311yescharacteristic, complemented
9C3×C13×D19C2×C311yescharacteristic, complemented
10#13093367—31no—
11#13093365—31no—
12#13093361—21no—
13#13093361D311yescharacteristic, complemented
14D13×D19—31noHall
15C3×C13×C19C22×C311yescharacteristic, complemented
16#10625203—21no—
17#10625203C2×D311yescharacteristic, complemented
18D3×D19⋊C3—131nomaximal, Hall
19D247—31no—
20C13×D19C3×D311yescharacteristic, complemented
21C19×D13—31no—
22C2×C3⋊(D13⋊C3)—191nomaximal, Hall
23C3⋊(D19⋊C3)—131no—
24D3×C19⋊C3—131no—
25C3×D19⋊C3—131no—
26C13×C19C2×C3×D311yescharacteristic, complemented, Hall
27C2×C3×C13⋊C3—191no—
28C3⋊(D13⋊C3)—191no—
29C3⋊(D13⋊C3)—191no—
30D3×D19—131no—
31C2×D19⋊C3—391no—
32C3×C19⋊C3—131noHall
33C2×D39—191no—
34C2×D13⋊C3—571no—
35C3×C13⋊C3—191noHall
36D57—131no—
37C3×D19D13⋊C311yescharacteristic, complemented
38D3×C19—131no—
39C2×C19⋊C3—391no—
40D19⋊C3—131no—
41D19⋊C3—261no—
42D19⋊C3—391no—
43C2×C3×C13—191no—
44D39—191no—
45D39D19⋊C311yescharacteristic, complemented
46C2×C13⋊C3—191no—
47C2×C13⋊C3—381no—
48D13⋊C3—571no—
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—391no—
59D19—391no—
60D19C3⋊(D13⋊C3)11yescharacteristic, complemented
61C2×C3×D3—2471noHall
62C2×C13—191no—
63D13—31no—
64D13—571no—
65C19C2×C3⋊(D13⋊C3)11yescharacteristic, complemented, Sylow
66C2×C32—2471no—
67C3×D3—2471no—
68C3×D3—2471no—
69C13D3×D19⋊C311yescharacteristic, complemented, Sylow
70C22×C3—7411no—
71C2×D3—2471no—
72C32—2471noSylow
73C2×C3—191no—
74C2×C3—7411no—
75C2×C3—7411no—
76C2×C3—4941no—
77C2×C3—2471no—
78D3—131no—
79D3—2471no—
80C22—7411noSylow
81C3—4941no—
82C3—2471no—
83C3#13093361⋊C211yescharacteristic, complemented
84C2—191no—
85C2—391no—
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⋊#13093365C2semidirect
2. C3⋊#13093367C2semidirect
3. C3×#13093361C2semidirect
4. D19×D39C3semidirect
6. C3×#10625203C22semidirect
7. D741C2×C3semidirect
8. C19×D39C2×C3semidirect
9. C3×C13×D19C2×C3semidirect
13. #13093361D3semidirect
15. C3×C13×C19C22×C3semidirect
17. #10625203C2×D3semidirect
20. C13×D19C3×D3semidirect
26. C13×C19C2×C3×D3semidirect
37. C3×D19D13⋊C3semidirect
45. D39D19⋊C3semidirect
51. C3×C19C2×D13⋊C3semidirect
55. C3×C13C2×D19⋊C3semidirect
60. D19C3⋊(D13⋊C3)semidirect
65. C19C2×C3⋊(D13⋊C3)semidirect
69. C13D3×D19⋊C3semidirect
83. C3#13093361⋊C2semidirect