Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
440 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 209 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. #13092466 | C2 | semidirect |
| 4. #13092464 | C2 | semidirect |
| 5. C2×#10625004 | C2 | semidirect |
| 6. #108×D23 | C2 | semidirect |
| 7. C23×#430 | C2 | semidirect |
| 76. #430 | D23 | semidirect |
| 98. C23 | #2916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093183 | 2 |
| C2×#10625078 | 2 |
| #13092466 | 2 |
| #13092464 | 2 |
| C2×#10625004 | 2 |
| #108×D23 | 2 |
| C23×#430 | 2 |
| #2916 | 23 |