Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
924 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 237 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×D4×Dic23 | C2 | semidirect |
| 3. C2×#10625064 | C2 | semidirect |
| 4. C2×(C22⋊D23)⋊C4 | C2 | semidirect |
| 5. #13092319 | C2 | semidirect |
| 6. #13092317 | C2 | semidirect |
| 7. #13092286 | C2 | semidirect |
| 8. C42×Dic23 | C2 | semidirect |
| 9. C23×#390 | C2 | semidirect |
| 19. #10625111 | C4 | semidirect |
| 35. C2×D4×C23 | C2×C4 | semidirect |
| 41. C2×C22⋊D23 | C2×C4 | semidirect |
| 50. C2×D92 | C2×C4 | semidirect |
| 62. C4×Dic23 | C2×C4 | semidirect |
| 63. C4×Dic23 | D4 | semidirect |
| 64. C4×Dic23 | D4 | semidirect |
| 116. C4×C23 | C4×D4 | semidirect |
| 119. Dic23 | C4×D4 | semidirect |
| 120. Dic23 | #127 | semidirect |
| 127. #390 | D23 | semidirect |
| 158. C23 | C4×#127 | semidirect |
| 169. C2×D4 | C4×D23 | semidirect |
| 247. C4 | (C22⋊D23)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625111 | 2 |
| C2×D4×Dic23 | 2 |
| C2×#10625064 | 2 |
| C2×(C22⋊D23)⋊C4 | 2 |
| #13092319 | 2 |
| #13092317 | 2 |
| #13092286 | 2 |
| C42×Dic23 | 2 |
| C23×#390 | 2 |
| C4×#127 | 23 |