Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
166 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 53 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. #13092813 | C2 | semidirect |
| 5. #13092167 | C2 | semidirect |
| 6. #13092162 | C2 | semidirect |
| 7. C23×#333 | C2 | semidirect |
| 59. C23⋊C8 | SD16 | semidirect |
| 78. #333 | D23 | semidirect |
| 99. C23 | #1671 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092813 | 2 |
| #13092704 | 2 |
| #13092623 | 2 |
| #13092482 | 2 |
| #13092167 | 2 |
| #13092162 | 2 |
| C23×#333 | 2 |
| #1671 | 23 |