Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
154 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 67 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. #16813581 | C2 | semidirect |
| 3. #16813549 | C2 | semidirect |
| 6. #14268631 | C22 | semidirect |
| 10. C4×Dic113 | C22 | semidirect |
| 13. #41×C113 | C4 | semidirect |
| 15. C2×Q8×C113 | C4 | semidirect |
| 17. C2×D4×C113 | C4 | semidirect |
| 56. C113 | #421 | semidirect |
| 64. #41 | Dic113 | semidirect |
| 66. C2×Q8 | Dic113 | semidirect |
| 68. C2×D4 | Dic113 | semidirect |