Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10625158 | C2 | semidirect |
| 2. C2×#10625121 | C2 | semidirect |
| 3. #13092995 | C2 | semidirect |
| 4. #13092578 | C2 | semidirect |
| 5. #13092571 | C2 | semidirect |
| 6. #13092561 | C2 | semidirect |
| 7. #13092554 | C2 | semidirect |
| 8. #13092419 | C2 | semidirect |
| 9. C2×#10625017 | C2 | semidirect |
| 10. #13092385 | C2 | semidirect |
| 11. C2×C23×#137 | C2 | semidirect |
| 49. C2×Q8×C23 | D4 | semidirect |
| 71. #67288 | D4 | semidirect |
| 164. C2×#137 | D23 | semidirect |
| 214. C23 | #3013 | semidirect |
| 233. C2×Q8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625158 | 2 |
| C2×#10625121 | 2 |
| #13092995 | 2 |
| #13092578 | 2 |
| #13092571 | 2 |
| #13092561 | 2 |
| #13092554 | 2 |
| #13092419 | 2 |
| C2×#10625017 | 2 |
| #13092385 | 2 |
| C2×C23×#137 | 2 |
| #3013 | 23 |