Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
504 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 125 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×#10625083 | C2 | semidirect |
| 2. #13093087 | C2 | semidirect |
| 3. #13092650 | C2 | semidirect |
| 4. #13092614 | C2 | semidirect |
| 5. #13092559 | C2 | semidirect |
| 6. C4×Dic92 | C2 | semidirect |
| 7. C8×D92 | C2 | semidirect |
| 8. C23×#493 | C2 | semidirect |
| 53. Dic92 | D4 | semidirect |
| 87. C4×C23 | #135 | semidirect |
| 95. #493 | D23 | semidirect |
| 126. C23 | #3287 | semidirect |
| 187. C4 | #10625083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625083 | 2 |
| #13093087 | 2 |
| #13092650 | 2 |
| #13092614 | 2 |
| #13092559 | 2 |
| C4×Dic92 | 2 |
| C8×D92 | 2 |
| C23×#493 | 2 |
| #3287 | 23 |