Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. Q8×D92 | C2 | semidirect |
| 3. #13092768 | C2 | semidirect |
| 4. #13092749 | C2 | semidirect |
| 5. #13092702 | C2 | semidirect |
| 6. #13092645 | C2 | semidirect |
| 7. #13092622 | C2 | semidirect |
| 8. #13092554 | C2 | semidirect |
| 9. C8×D92 | C2 | semidirect |
| 10. #103×D23 | C2 | semidirect |
| 11. C4×SD16×C23 | C2 | semidirect |
| 80. Q8×C23 | #41 | semidirect |
| 94. D92 | SD16 | semidirect |
| 132. C4×SD16 | D23 | semidirect |
| 169. C23 | #3298 | semidirect |
| 213. Q8 | #67288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×D92 | 2 |
| #13093072 | 2 |
| #13092768 | 2 |
| #13092749 | 2 |
| #13092702 | 2 |
| #13092645 | 2 |
| #13092622 | 2 |
| #13092554 | 2 |
| C8×D92 | 2 |
| #103×D23 | 2 |
| C4×SD16×C23 | 2 |
| #3298 | 23 |