Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
154 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 48 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. D113⋊M16 | C2 | semidirect |
| 2. #16813701 | C2 | semidirect |
| 3. #16813686 | C2 | semidirect |
| 5. #14268657 | C22 | semidirect |
| 10. C4×#90673 | C22 | semidirect |
| 13. #14268646 | C4 | semidirect |
| 15. C2×Dic226 | C4 | semidirect |
| 19. C2×D4×C113 | C4 | semidirect |
| 56. C113 | #421 | semidirect |
| 68. C2×D4 | #90673 | semidirect |