Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
672 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 229 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. #13092310 | C2 | semidirect |
| 2. #13092277 | C2 | semidirect |
| 4. C4×C22⋊Dic23 | C2 | semidirect |
| 9. C2×C22⋊C4×C23 | C4 | semidirect |
| 14. C2×C4⋊Dic23 | C22 | semidirect |
| 15. C2×C4×Dic23 | C22 | semidirect |
| 16. C23⋊#95 | C22 | semidirect |
| 17. C23⋊#95 | C22 | semidirect |
| 94. C2×C22⋊C4 | Dic23 | semidirect |
| 99. C23 | #2312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092310 | 2 |
| #13092277 | 2 |
| #13092273 | 2 |
| C4×C22⋊Dic23 | 2 |
| C22×C22⋊C4×C23 | 2 |
| #2312 | 23 |