Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
500 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 189 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×#10625078 | C2 | semidirect |
| 3. #13092494 | C2 | semidirect |
| 4. #13092482 | C2 | semidirect |
| 5. #13092385 | C2 | semidirect |
| 6. C2×C4×C23⋊C8 | C2 | semidirect |
| 7. C23×#423 | C2 | semidirect |
| 42. C2×C23⋊C8 | D4 | semidirect |
| 76. C4×C23 | #131 | semidirect |
| 84. #423 | D23 | semidirect |
| 108. C23 | #2931 | semidirect |
| 160. C4 | #10625078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625078 | 2 |
| #13092967 | 2 |
| #13092494 | 2 |
| #13092482 | 2 |
| #13092385 | 2 |
| C2×C4×C23⋊C8 | 2 |
| C23×#423 | 2 |
| #2931 | 23 |