Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
484 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 213 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. #13092442 | C2 | semidirect |
| 4. #13092441 | C2 | semidirect |
| 5. #13092440 | C2 | semidirect |
| 6. C23×#423 | C2 | semidirect |
| 19. C23×C4⋊C8 | C22 | semidirect |
| 20. Dic23⋊C8 | C22 | semidirect |
| 21. C4⋊(C23⋊C8) | C22 | semidirect |
| 80. #423 | D23 | semidirect |
| 99. C4⋊C8 | C2×D23 | semidirect |
| 100. C23 | #2905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D23 | 2 |
| C2×#10625043 | 2 |
| #13092442 | 2 |
| #13092441 | 2 |
| #13092440 | 2 |
| C23×#423 | 2 |
| #2905 | 23 |