Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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×#10625121 | C2 | semidirect |
| 2. #13092967 | C2 | semidirect |
| 3. #13092812 | C2 | semidirect |
| 4. #13092809 | C2 | semidirect |
| 5. #13092807 | C2 | semidirect |
| 6. #13092804 | C2 | semidirect |
| 7. C2×#10624985 | C2 | semidirect |
| 8. C23×#532 | C2 | semidirect |
| 55. C2×C23⋊C8 | D4 | semidirect |
| 95. #532 | D23 | semidirect |
| 127. C23 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625121 | 2 |
| #13092967 | 2 |
| #13092812 | 2 |
| #13092809 | 2 |
| #13092807 | 2 |
| #13092804 | 2 |
| C2×#10624985 | 2 |
| C23×#532 | 2 |
| #3150 | 23 |