Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #13092853 | C2 | direct (N × H) |
| 3. C2×#10625009 | C2 | semidirect |
| 4. C2×#10625008 | C2 | semidirect |
| 5. C2×#10624994 | C2 | semidirect |
| 6. C22×D8×C23 | C2 | semidirect |
| 12. C2×D8×C23 | C22 | semidirect |
| 14. C2×Dic92 | C22 | semidirect |
| 16. #10625075 | C22 | semidirect |
| 17. C2×D184 | C22 | semidirect |
| 19. #10625009 | C22 | semidirect |
| 20. #10625008 | C22 | semidirect |
| 21. #10624994 | C22 | semidirect |
| 22. C2×C23⋊C16 | C22 | semidirect |
| 43. Dic92 | C23 | semidirect |
| 45. D184 | C23 | semidirect |
| 47. C23⋊C16 | C23 | semidirect |
| 84. C22×D8 | D23 | semidirect |
| 91. C2×C23 | #509 | semidirect |
| 104. C2×D8 | C2×D23 | semidirect |
| 110. C23 | C2×#509 | semidirect |
| 173. C2 | #13092853 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625075 | 2 |
| #13092853 | 2 |
| C2×#10625009 | 2 |
| C2×#10625008 | 2 |
| C2×#10624994 | 2 |
| C22×D8×C23 | 2 |
| C2×#509 | 23 |