Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
200 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 2. #14272027 | C2 | semidirect |
| 3. #14272026 | C2 | semidirect |
| 29. C8×D29 | C8 | semidirect |
| 44. C8×C29 | C2×C8 | semidirect |
| 46. #6597 | C2×C8 | semidirect |
| 67. D29 | #335 | semidirect |
| 78. C29 | C2×#335 | semidirect |
| 110. C8 | D29⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊(C4⋊C8) | 2 |
| #14272027 | 2 |
| #14272026 | 2 |
| C4×C8×D29 | 2 |
| C2×#335 | 29 |