Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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. C2×C4×Dic46 | C2 | semidirect |
| 3. #13092322 | C2 | semidirect |
| 5. #13092305 | C2 | semidirect |
| 6. #13092290 | C2 | semidirect |
| 7. #13092286 | C2 | semidirect |
| 8. #13092263 | C2 | semidirect |
| 19. #10625107 | C4 | semidirect |
| 46. C2×Dic46 | C2×C4 | semidirect |
| 51. C22⋊Dic23 | C2×C4 | semidirect |
| 57. C4×Dic23 | C2×C4 | semidirect |
| 141. C23 | #2326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625107 | 2 |
| C2×C4×Dic46 | 2 |
| #13092322 | 2 |
| #13092320 | 2 |
| #13092305 | 2 |
| #13092290 | 2 |
| #13092286 | 2 |
| #13092263 | 2 |
| C2×C4×D4×C23 | 2 |
| #2326 | 23 |