Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
142 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 47 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×#14268636 | C2 | semidirect |
| 2. C2×#14268635 | C2 | semidirect |
| 3. C2×#14268634 | C2 | semidirect |
| 4. #16813620 | C2 | semidirect |
| 6. C8×Dic113 | C2 | semidirect |
| 7. C2×SD16×C113 | C2 | semidirect |
| 36. C8×C113 | D4 | semidirect |
| 37. #11744751 | D4 | semidirect |
| 47. Dic113 | SD16 | semidirect |
| 52. C113 | #492 | semidirect |
| 57. C2×SD16 | D113 | semidirect |
| 90. C8 | C22⋊D113 | semidirect |