Finite Group Databasebeta

← SD32×D103 #20268213

Subgroups — SD32×D103 #20268213

Order 6592.

90 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q16×D103C211yesmaximal, characteristic, complemented
2D8×D103C211yesmaximal, characteristic
3#15692966C211yesmaximal, characteristic, complemented
4#15692965C211yesmaximal, characteristic, complemented
5#15692964C211yesmaximal, characteristic, complemented
6C16×D103C211yesmaximal, characteristic, complemented
7SD32×C103C211yesmaximal, characteristic, complemented
8Q8×D103—21no—
9D4×D103—21no—
10Dic412C2211yescharacteristic, complemented
11#13110095—21no—
12D824C2211yescharacteristic
13#13110090—21no—
14C8×D103C2211yescharacteristic
15C103⋊C16C2211yescharacteristic, complemented
16Q16×C103C2211yescharacteristic, complemented
17D8×C103C2211yescharacteristic
18C16×C103C2211yescharacteristic, complemented
19C22×D103—41no—
20Q8×C103—21no—
21D4×C103—21no—
22C22⋊D103—41no—
23D412—21no—
24C4×D103—41no—
25C4×D103D411yescharacteristic
26Dic206—21no—
27Dic206—41no—
28C8×C103C2311yescharacteristic
29C103⋊C8D411yescharacteristic
30C22×C103—41no—
31C2×D103—41no—
32C2×D103—82no—
33C2×D103D811yescharacteristic
34C4×C103—41no—
35C4×C103C2×D411yescharacteristic
36Dic103—41no—
37Dic103D811yescharacteristic
38C2×C103—81no—
39C2×C103C2×D811yescharacteristic
40D103—81no—
41D103SD3212yesdirect product factor
42C103C2×SD3211yescharacteristic, complemented, Sylow
43C2×SD32—1031nomaximal, Sylow
44C2×Q16—1031no—
45C2×D8—1031no—
46SD32—1031no—
47SD32—1031no—
48SD32—1031no—
49SD32D10311yescharacteristic, direct product factor
50C2×C16—1031no—
51C2×Q8—2061no—
52C2×D4—2061no—
53Q16—1031no—
54Q16—2061no—
55Q16C2×D10311yescharacteristic, complemented
56D8—1031no—
57D8—2061no—
58D8C2×D10311yescharacteristic
59C2×C8—1031no—
60C16—1031no—
61C16C2×D10311yescharacteristic, complemented
62C23—4121no—
63Q8—21no—
64Q8—4121no—
65Q8—2061no—
66D4—21no—
67D4—4121no—
68D4—2061no—
69C2×C4—1031no—
70C2×C4—4121no—
71C8—1031no—
72C8C22×D10311yescharacteristic
73C22—41no—
74C22—8242no—
75C22—1031no—
76C22—4121no—
77C4—41no—
78C4—1031no—
79C4—4121no—
80C4D4×D10311yescharacteristic
81C2—81no—
82C2—8241no—
83C2—1032no—
84C2D8×D10311yescharacteristic
subgroupG/H
centerC2D8×D103
commutatorC8×C103C23
FrattiniC8C22×D103
FittingSD32×C103C2
socleC2×C103C2×D8
hypercenterSD32D103
hypocenterC103C2×SD32
LCSG ▷ C8×C103 ▷ C4×C103 ▷ C2×C103 ▷ C103
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ SD32

Complements

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

NH ≅ G/Ntype
1. Q16×D103C2semidirect
3. #15692966C2semidirect
4. #15692965C2semidirect
5. #15692964C2semidirect
6. C16×D103C2semidirect
7. SD32×C103C2semidirect
10. Dic412C22semidirect
15. C103⋊C16C22semidirect
16. Q16×C103C22semidirect
18. C16×C103C22semidirect
41. D103SD32direct (N × H)
42. C103C2×SD32semidirect
49. SD32D103direct (N × H)
55. Q16C2×D103semidirect
61. C16C2×D103semidirect