Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
186 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 52 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×#14268656 | C2 | semidirect |
| 2. #16813682 | C2 | direct (N × H) |
| 5. #14268656 | C22 | semidirect |
| 47. C2×C113 | #100 | semidirect |
| 50. C113 | C2×#100 | semidirect |
| 99. C2 | #16813682 | direct (N × H) |