Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
564 conjugacy classes of subgroups; only the 373 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 373 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. #13092373 | C2 | semidirect |
| 3. C4×#67267 | C2 | semidirect |
| 11. C2×#67267 | C4 | semidirect |
| 15. #10624985 | C22 | semidirect |
| 16. C4×C23⋊C8 | C22 | semidirect |
| 29. #67267 | C2×C4 | semidirect |
| 30. C2×C23⋊C8 | C2×C4 | semidirect |
| 78. C23 | #2873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67267 | 2 |
| #13092373 | 2 |
| C4×#67267 | 2 |
| C2×C23×#117 | 2 |
| #2873 | 23 |