Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
230 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 77 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. #13092443 | C2 | semidirect |
| 5. #13092182 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C2×C4×C8×C23 | C2 | semidirect |
| 16. #10625003 | C4 | semidirect |
| 18. #10624998 | C4 | semidirect |
| 90. C2×C4×C8 | D23 | semidirect |
| 111. C23 | #1937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092443 | 2 |
| C2×#10624987 | 2 |
| #13092414 | 2 |
| #13092383 | 2 |
| #13092182 | 2 |
| #13092177 | 2 |
| C2×C4×C8×C23 | 2 |
| #1937 | 23 |