Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
598 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×C22⋊Dic23 | C2 | semidirect |
| 3. C2×#10624988 | C2 | semidirect |
| 4. #13092183 | C2 | semidirect |
| 5. C23×#379 | C2 | semidirect |
| 7. C22×C22⋊D23 | C4 | semidirect |
| 17. C2×C22⋊Dic23 | C4 | semidirect |
| 29. C23×D23 | C2×C4 | semidirect |
| 41. C22×Dic23 | C2×C4 | semidirect |
| 42. C22×Dic23 | C2×C4 | semidirect |
| 52. C22⋊Dic23 | D4 | semidirect |
| 109. C22×C23 | #99 | semidirect |
| 125. #379 | D23 | semidirect |
| 151. C23 | #1898 | semidirect |
| 242. C22 | #10624988 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625124 | 2 |
| C22×C22⋊Dic23 | 2 |
| C2×#10624988 | 2 |
| #13092183 | 2 |
| C23×#379 | 2 |
| #1898 | 23 |