Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13092465 | C2 | semidirect |
| 5. #13092189 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C4×M16×C23 | C2 | semidirect |
| 18. #10625006 | C4 | semidirect |
| 19. #10625005 | C4 | semidirect |
| 95. C4×M16 | D23 | semidirect |
| 118. C23 | #1932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092465 | 2 |
| #13092433 | 2 |
| C2×#10624987 | 2 |
| #13092399 | 2 |
| #13092189 | 2 |
| #13092177 | 2 |
| C4×M16×C23 | 2 |
| #1932 | 23 |