Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. #13092241 | C2 | semidirect |
| 4. #13092240 | C2 | semidirect |
| 5. #13092233 | C2 | semidirect |
| 7. C23×#362 | C2 | semidirect |
| 64. #362 | D23 | semidirect |
| 80. C23 | #2239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092672 | 2 |
| #13092464 | 2 |
| #13092241 | 2 |
| #13092240 | 2 |
| #13092233 | 2 |
| #13092198 | 2 |
| C23×#362 | 2 |
| #2239 | 23 |