Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#10625080 | C2 | semidirect |
| 3. #13092988 | C2 | semidirect |
| 4. #13092675 | C2 | semidirect |
| 5. #13092663 | C2 | semidirect |
| 6. #13092658 | C2 | semidirect |
| 7. #13092646 | C2 | semidirect |
| 8. #13092459 | C2 | semidirect |
| 9. #13092414 | C2 | semidirect |
| 10. C2×#10624998 | C2 | semidirect |
| 11. C2×C23×#131 | C2 | semidirect |
| 64. M16×C23 | D4 | semidirect |
| 139. C2×#131 | D23 | semidirect |
| 186. C23 | #3063 | semidirect |
| 210. M16 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625080 | 2 |
| #13092995 | 2 |
| #13092988 | 2 |
| #13092675 | 2 |
| #13092663 | 2 |
| #13092658 | 2 |
| #13092646 | 2 |
| #13092459 | 2 |
| #13092414 | 2 |
| C2×#10624998 | 2 |
| C2×C23×#131 | 2 |
| #3063 | 23 |