Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
572 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 173 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×#10625075 | C2 | semidirect |
| 2. #13092967 | C2 | semidirect |
| 3. #13092801 | C2 | semidirect |
| 4. #13092797 | C2 | semidirect |
| 5. #13092794 | C2 | semidirect |
| 6. #13092790 | C2 | semidirect |
| 7. C2×C4×C8×C23 | C2 | semidirect |
| 31. C2×C8×C23 | D4 | semidirect |
| 66. C4×C23 | #135 | semidirect |
| 75. C2×C4×C8 | D23 | semidirect |
| 95. C23 | #3147 | semidirect |
| 107. C2×C8 | D92 | semidirect |
| 139. C4 | #10625075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625075 | 2 |
| #13092967 | 2 |
| #13092801 | 2 |
| #13092797 | 2 |
| #13092794 | 2 |
| #13092790 | 2 |
| C2×C4×C8×C23 | 2 |
| #3147 | 23 |