Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
302 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13092457 | C2 | semidirect |
| 4. #13092286 | C2 | semidirect |
| 5. #13092185 | C2 | semidirect |
| 6. #13092178 | C2 | semidirect |
| 23. #10625019 | C4 | semidirect |
| 55. C4×Dic23 | C2×C4 | semidirect |
| 57. #67267 | C2×C4 | semidirect |
| 62. Q8×C23 | C4⋊C4 | semidirect |
| 66. D4×C23 | C4⋊C4 | semidirect |
| 138. C23 | #1859 | semidirect |
| 175. Q8 | Dic23⋊C4 | semidirect |
| 179. D4 | Dic23⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092900 | 2 |
| #13092457 | 2 |
| C2×#10625019 | 2 |
| #13092286 | 2 |
| #13092185 | 2 |
| #13092178 | 2 |
| C23×#417 | 2 |
| #1859 | 23 |