Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
210 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
| 2. #13092443 | C2 | semidirect |
| 6. #13092173 | C2 | semidirect |
| 7. C23×#424 | C2 | semidirect |
| 87. #424 | D23 | semidirect |
| 110. C23 | #2098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092465 | 2 |
| #13092443 | 2 |
| #13092435 | 2 |
| #13092433 | 2 |
| #13092383 | 2 |
| #13092173 | 2 |
| C23×#424 | 2 |
| #2098 | 23 |