Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
832 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 832 conjugacy classes of subgroups — too many to draw. Only its 209 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×C22⋊D23 | C2 | semidirect |
| 3. C2×(C22⋊D23)⋊C4 | C2 | semidirect |
| 4. #13092317 | C2 | semidirect |
| 5. #13092317 | C2 | semidirect |
| 6. #13092297 | C2 | semidirect |
| 7. #13092295 | C2 | semidirect |
| 8. #13092268 | C2 | semidirect |
| 9. C23×#386 | C2 | semidirect |
| 21. #10625111 | C4 | semidirect |
| 39. C2×D4×C23 | C2×C4 | semidirect |
| 49. C2×C22⋊D23 | C2×C4 | semidirect |
| 50. C2×C22⋊D23 | C2×C4 | semidirect |
| 58. C2×D92 | C2×C4 | semidirect |
| 70. Dic23⋊C4 | D4 | semidirect |
| 73. C4×Dic23 | C2×C4 | semidirect |
| 145. Dic23 | C4×D4 | semidirect |
| 153. #386 | D23 | semidirect |
| 187. C23 | #2366 | semidirect |
| 202. C2×D4 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625111 | 2 |
| C2×C4×C22⋊D23 | 2 |
| C2×(C22⋊D23)⋊C4 | 2 |
| #13092317 | 2 |
| #13092297 | 2 |
| #13092295 | 2 |
| #13092268 | 2 |
| C23×#386 | 2 |
| #2366 | 23 |