Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
332 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 83 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×#10625078 | C2 | semidirect |
| 3. #13092416 | C2 | semidirect |
| 4. C2×#10624991 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092181 | C2 | semidirect |
| 7. C23×#343 | C2 | semidirect |
| 16. #10625079 | C4 | semidirect |
| 122. #343 | D23 | semidirect |
| 151. C23 | #1907 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625079 | 2 |
| C2×#10625078 | 2 |
| #13092416 | 2 |
| C2×#10624991 | 2 |
| C2×#10625005 | 2 |
| #13092181 | 2 |
| C23×#343 | 2 |
| #1907 | 23 |