Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
194 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 194 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 |
|---|---|---|
| 2. #13092768 | C2 | semidirect |
| 3. #13092713 | C2 | semidirect |
| 5. #13092162 | C2 | semidirect |
| 6. #13092149 | C2 | semidirect |
| 111. C23 | #1638 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093137 | 2 |
| #13092768 | 2 |
| #13092713 | 2 |
| #13092707 | 2 |
| #13092162 | 2 |
| #13092149 | 2 |
| C23×D4⋊C8 | 2 |
| #1638 | 23 |