Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
500 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 197 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×#10625072 | C2 | semidirect |
| 3. #13092496 | C2 | semidirect |
| 4. C8×D92 | C2 | semidirect |
| 5. #13092441 | C2 | semidirect |
| 6. #13092383 | C2 | semidirect |
| 7. C2×C4×C8×C23 | C2 | semidirect |
| 35. C2×C8×C23 | D4 | semidirect |
| 76. C4×C23 | #131 | semidirect |
| 86. C2×C4×C8 | D23 | semidirect |
| 108. C23 | #2931 | semidirect |
| 123. C2×C8 | D92 | semidirect |
| 160. C4 | #10625072 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625072 | 2 |
| #13092967 | 2 |
| #13092496 | 2 |
| C8×D92 | 2 |
| #13092441 | 2 |
| #13092383 | 2 |
| C2×C4×C8×C23 | 2 |
| #2931 | 23 |