Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 2. C4×#67288 | C2 | semidirect |
| 3. #13092530 | C2 | semidirect |
| 4. #13092525 | C2 | semidirect |
| 5. #13092519 | C2 | semidirect |
| 6. #13092455 | C2 | semidirect |
| 7. #13092414 | C2 | semidirect |
| 8. C2×C23×#97 | C2 | semidirect |
| 16. #10625075 | C4 | semidirect |
| 33. #67288 | C2×C4 | semidirect |
| 39. C2×C8×C23 | C2×C4 | semidirect |
| 51. Dic92 | C2×C4 | semidirect |
| 52. D184 | C2×C4 | semidirect |
| 53. #67263 | C2×C4 | semidirect |
| 93. C2×#97 | D23 | semidirect |
| 118. C23 | #2943 | semidirect |
| 132. C2×C8 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625075 | 2 |
| C4×#67288 | 2 |
| #13092530 | 2 |
| #13092525 | 2 |
| #13092519 | 2 |
| #13092455 | 2 |
| #13092414 | 2 |
| C2×C23×#97 | 2 |
| #2943 | 23 |