Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
180 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13092170 | C2 | semidirect |
| 5. #13092169 | C2 | semidirect |
| 6. #13092167 | C2 | semidirect |
| 7. C23×#334 | C2 | semidirect |
| 39. #67262 | C8 | semidirect |
| 56. C8×C23 | C2×C8 | semidirect |
| 60. C23⋊C8 | C2×C8 | semidirect |
| 80. #334 | D23 | semidirect |
| 100. C23 | #1565 | semidirect |
| 138. C8 | C8×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092469 | 2 |
| C4⋊C8×D23 | 2 |
| C4×#67262 | 2 |
| #13092170 | 2 |
| #13092169 | 2 |
| #13092167 | 2 |
| C23×#334 | 2 |
| #1565 | 23 |