Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10625113 | C2 | semidirect |
| 2. C2×#10625103 | C2 | semidirect |
| 3. #13092967 | C2 | semidirect |
| 4. #13092812 | C2 | semidirect |
| 5. #13092807 | C2 | semidirect |
| 6. #13092799 | C2 | semidirect |
| 7. C4×#67267 | C2 | semidirect |
| 8. C2×C23×#124 | C2 | semidirect |
| 17. C2×#67275 | C22 | semidirect |
| 19. C2×#67274 | C22 | semidirect |
| 25. #10625046 | C22 | semidirect |
| 26. #10625045 | C22 | semidirect |
| 28. #10625040 | C22 | semidirect |
| 29. #10624985 | C22 | semidirect |
| 30. C4×C23⋊C8 | C22 | semidirect |
| 59. #67267 | D4 | semidirect |
| 105. C2×#124 | D23 | semidirect |
| 137. C23 | #3153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625113 | 2 |
| C2×#10625103 | 2 |
| #13092967 | 2 |
| #13092812 | 2 |
| #13092807 | 2 |
| #13092799 | 2 |
| C4×#67267 | 2 |
| C2×C23×#124 | 2 |
| #3153 | 23 |