Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
124 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14268637 | C2 | semidirect |
| 4. #16813620 | C2 | semidirect |
| 6. #16813532 | C2 | semidirect |
| 7. C2×Q16×C113 | C2 | semidirect |
| 49. C113 | #497 | semidirect |
| 52. C2×Q16 | D113 | semidirect |