Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
552 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#10624987 | C2 | semidirect |
| 3. #13092419 | C2 | semidirect |
| 4. #13092418 | C2 | semidirect |
| 5. C2×#10625006 | C2 | semidirect |
| 6. #13092323 | C2 | semidirect |
| 7. C2×C23×#104 | C2 | semidirect |
| 12. #10625161 | C4 | semidirect |
| 150. C2×#104 | D23 | semidirect |
| 186. C23 | #1793 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625161 | 2 |
| C2×#10624987 | 2 |
| #13092419 | 2 |
| #13092418 | 2 |
| C2×#10625006 | 2 |
| #13092323 | 2 |
| C2×C23×#104 | 2 |
| #1793 | 23 |