Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
476 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 476 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. #13092458 | C2 | semidirect |
| 4. #13092457 | C2 | semidirect |
| 5. #13092455 | C2 | semidirect |
| 6. #13092454 | C2 | semidirect |
| 7. #107×D23 | C2 | semidirect |
| 8. C2×C23×#107 | C2 | semidirect |
| 15. #10625072 | C4 | semidirect |
| 38. C2×C8×C23 | C2×C4 | semidirect |
| 50. #67267 | C2×C4 | semidirect |
| 52. #67262 | C2×C4 | semidirect |
| 53. C8×D23 | C2×C4 | semidirect |
| 96. C2×#107 | D23 | semidirect |
| 122. C23 | #2913 | semidirect |
| 136. C2×C8 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625072 | 2 |
| #13092898 | 2 |
| #13092458 | 2 |
| #13092457 | 2 |
| #13092455 | 2 |
| #13092454 | 2 |
| #107×D23 | 2 |
| C2×C23×#107 | 2 |
| #2913 | 23 |