Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
754 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 153 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×#10625080 | C2 | semidirect |
| 3. C2×#10625095 | C2 | semidirect |
| 4. #13092581 | C2 | semidirect |
| 5. #13092575 | C2 | semidirect |
| 6. #13092570 | C2 | semidirect |
| 7. #13092419 | C2 | semidirect |
| 8. C23×#407 | C2 | semidirect |
| 19. C22×Dic46 | C22 | semidirect |
| 20. C2×M16×C23 | C22 | semidirect |
| 22. C2×C4⋊Dic23 | C22 | semidirect |
| 26. #10625095 | C22 | semidirect |
| 29. C2×Dic92 | C22 | semidirect |
| 30. C2×#67263 | C22 | semidirect |
| 32. C23×C22⋊C8 | C22 | semidirect |
| 33. #10625003 | C22 | semidirect |
| 34. #10624998 | C22 | semidirect |
| 127. C22×C23 | #137 | semidirect |
| 147. #407 | D23 | semidirect |
| 169. C2×M16 | C2×D23 | semidirect |
| 180. C22⋊C8 | C2×D23 | semidirect |
| 181. C23 | #3007 | semidirect |
| 277. C22 | #10625080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67288 | 2 |
| C2×#10625080 | 2 |
| C2×#10625095 | 2 |
| #13092581 | 2 |
| #13092575 | 2 |
| #13092570 | 2 |
| #13092419 | 2 |
| C23×#407 | 2 |
| #3007 | 23 |