Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
124 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 45 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×#14268634 | C2 | semidirect |
| 2. C22×#11744751 | C2 | semidirect |
| 4. #16813553 | C2 | semidirect |
| 5. #16813546 | C2 | semidirect |
| 6. #16813542 | C2 | semidirect |
| 7. C22⋊Q8×C113 | C2 | semidirect |
| 36. #11744751 | D4 | semidirect |
| 39. C22×C113 | SD16 | semidirect |
| 55. C113 | #465 | semidirect |
| 59. C22⋊Q8 | D113 | semidirect |
| 98. C22 | #14268634 | semidirect |