Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
296 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 296 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 |
|---|---|---|
| 4. #13092184 | C2 | semidirect |
| 5. #13092183 | C2 | semidirect |
| 6. #13092183 | C2 | semidirect |
| 7. C23×#342 | C2 | semidirect |
| 17. C22⋊C4×D23 | C4 | semidirect |
| 18. #10625048 | C4 | semidirect |
| 116. #342 | D23 | semidirect |
| 139. C23 | #1828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092890 | 2 |
| C2×#10624988 | 2 |
| #13092184 | 2 |
| #13092183 | 2 |
| C23×#342 | 2 |
| #1828 | 23 |