Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
274 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 65 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. #13092433 | C2 | semidirect |
| 3. #13092423 | C2 | semidirect |
| 4. #13092399 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092189 | C2 | semidirect |
| 7. C23×#430 | C2 | semidirect |
| 106. #430 | D23 | semidirect |
| 135. C23 | #2048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625079 | 2 |
| #13092433 | 2 |
| #13092423 | 2 |
| #13092399 | 2 |
| C2×#10625005 | 2 |
| #13092189 | 2 |
| C23×#430 | 2 |
| #2048 | 23 |