Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
480 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 183 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 |
|---|---|---|
| 3. #13092525 | C2 | semidirect |
| 4. #13092524 | C2 | semidirect |
| 5. #13092523 | C2 | semidirect |
| 6. #13092522 | C2 | semidirect |
| 7. #13092521 | C2 | semidirect |
| 11. C23×#441 | C2 | semidirect |
| 17. Q16×D23 | C4 | semidirect |
| 49. Q16×C23 | C2×C4 | semidirect |
| 56. #67275 | C2×C4 | semidirect |
| 69. Dic92 | C2×C4 | semidirect |
| 115. #441 | D23 | direct (N × H) |
| 121. D23 | #441 | direct (N × H) |
| 150. C23 | C2×#441 | semidirect |
| 162. Q16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D23 | 2 |
| C4×Q8×D23 | 2 |
| #13092525 | 2 |
| #13092524 | 2 |
| #13092523 | 2 |
| #13092522 | 2 |
| #13092521 | 2 |
| #106×D23 | 2 |
| #103×D23 | 2 |
| #97×D23 | 2 |
| C23×#441 | 2 |
| C2×#441 | 23 |