Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
152 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 53. C8×C23 | Q16 | semidirect |
| 94. C23 | #1591 | semidirect |
| 129. C8 | #67275 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092547 | 2 |
| C4×#67275 | 2 |
| #13092169 | 2 |
| Q8⋊(C23⋊C8) | 2 |
| #13092147 | 2 |
| C8×C23⋊C8 | 2 |
| C23×#446 | 2 |
| #1591 | 23 |