Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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 |
|---|---|---|
| 3. #13092460 | C2 | semidirect |
| 4. #13092457 | C2 | semidirect |
| 5. #13092453 | C2 | semidirect |
| 6. C2×#10624990 | C2 | semidirect |
| 13. #10625119 | C4 | semidirect |
| 42. #67267 | C2×C4 | semidirect |
| 43. C2×C23⋊C8 | C2×C4 | semidirect |
| 101. C23 | #2912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625119 | 2 |
| #13092900 | 2 |
| #13092460 | 2 |
| #13092457 | 2 |
| #13092453 | 2 |
| C2×#10624990 | 2 |
| C23×#520 | 2 |
| #2912 | 23 |