Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 2. #13092709 | C2 | semidirect |
| 3. #13092704 | C2 | semidirect |
| 4. #13092699 | C2 | semidirect |
| 5. #13092694 | C2 | semidirect |
| 6. #13092457 | C2 | semidirect |
| 7. #13092441 | C2 | semidirect |
| 9. C2×C23×C4⋊Q8 | C2 | semidirect |
| 44. #67288 | Q8 | semidirect |
| 91. D92 | C2×Q8 | semidirect |
| 96. Dic46 | C2×Q8 | semidirect |
| 117. C2×C4⋊Q8 | D23 | semidirect |
| 156. C23 | #3079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#67288 | 2 |
| #13092709 | 2 |
| #13092704 | 2 |
| #13092699 | 2 |
| #13092694 | 2 |
| #13092457 | 2 |
| #13092441 | 2 |
| #13092416 | 2 |
| C2×C23×C4⋊Q8 | 2 |
| #3079 | 23 |