Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #16813670 | C2 | semidirect |
| 2. #16813654 | C2 | semidirect |
| 3. #16813653 | C2 | semidirect |
| 4. #16813645 | C2 | semidirect |
| 5. #16813644 | C2 | semidirect |
| 6. Q16×D113 | C2 | semidirect |
| 7. #16813628 | C2 | semidirect |
| 8. C2×Q16×C113 | C2 | semidirect |
| 59. C113 | #578 | semidirect |
| 67. C2×Q16 | D113 | semidirect |