Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. C2×#10625121 | C2 | semidirect |
| 2. #13093088 | C2 | semidirect |
| 3. #13092793 | C2 | semidirect |
| 4. #13092651 | C2 | semidirect |
| 5. #13092617 | C2 | semidirect |
| 6. #13092614 | C2 | semidirect |
| 7. #13092562 | C2 | semidirect |
| 8. #13092560 | C2 | semidirect |
| 9. C4×#67275 | C2 | semidirect |
| 10. D4×C23⋊C8 | C2 | semidirect |
| 11. C23×#550 | C2 | semidirect |
| 69. #67275 | D4 | semidirect |
| 132. C4×C23 | #135 | semidirect |
| 139. #550 | D23 | semidirect |
| 184. C23 | #3287 | semidirect |
| 276. C4 | #10625121 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625121 | 2 |
| #13093088 | 2 |
| #13092793 | 2 |
| #13092651 | 2 |
| #13092617 | 2 |
| #13092614 | 2 |
| #13092562 | 2 |
| #13092560 | 2 |
| C4×#67275 | 2 |
| D4×C23⋊C8 | 2 |
| C23×#550 | 2 |
| #3287 | 23 |