Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
740 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 205 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. C2×C4×D92 | C2 | semidirect |
| 3. #13092319 | C2 | semidirect |
| 4. #13092295 | C2 | semidirect |
| 5. #13092283 | C2 | semidirect |
| 6. C23×#376 | C2 | semidirect |
| 16. #10625045 | C4 | semidirect |
| 29. C2×D92 | C2×C4 | semidirect |
| 30. C2×D92 | C2×C4 | semidirect |
| 34. C42×C23 | C2×C4 | semidirect |
| 35. C42×C23 | D4 | semidirect |
| 79. #376 | D23 | semidirect |
| 98. C23 | #2328 | semidirect |
| 116. C42 | C4×D23 | semidirect |
| 117. C42 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625045 | 2 |
| C2×C4×D92 | 2 |
| #13092319 | 2 |
| #13092295 | 2 |
| #13092283 | 2 |
| C23×#376 | 2 |
| #2328 | 23 |