Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10625078 | C2 | semidirect |
| 3. #13092991 | C2 | semidirect |
| 4. #13092672 | C2 | semidirect |
| 5. #13092660 | C2 | semidirect |
| 6. #13092655 | C2 | semidirect |
| 7. #13092643 | C2 | semidirect |
| 8. #13092459 | C2 | semidirect |
| 9. #13092413 | C2 | semidirect |
| 10. C2×#10625017 | C2 | semidirect |
| 11. C2×C23×#137 | C2 | semidirect |
| 65. M16×C23 | D4 | semidirect |
| 138. C2×#137 | 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×#10625078 | 2 |
| #13092995 | 2 |
| #13092991 | 2 |
| #13092672 | 2 |
| #13092660 | 2 |
| #13092655 | 2 |
| #13092643 | 2 |
| #13092459 | 2 |
| #13092413 | 2 |
| C2×#10625017 | 2 |
| C2×C23×#137 | 2 |
| #3063 | 23 |