Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
162 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 71 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14268631 | C2 | semidirect |
| 2. C2×C4⋊Dic113 | C2 | semidirect |
| 3. #16813546 | C2 | semidirect |
| 4. #16813543 | C2 | semidirect |
| 12. #41×C113 | C4 | semidirect |
| 21. Q8×C113 | C2×C4 | semidirect |
| 24. D4×C113 | C2×C4 | semidirect |
| 51. C113 | #417 | semidirect |
| 59. #41 | Dic113 | semidirect |
| 73. Q8 | C2×Dic113 | semidirect |
| 76. D4 | C2×Dic113 | semidirect |