Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
170 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 45 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. #13092852 | C2 | semidirect |
| 2. #13092792 | C2 | semidirect |
| 3. #13092534 | C2 | semidirect |
| 4. #13092237 | C2 | semidirect |
| 5. #13092231 | C2 | semidirect |
| 6. #13092230 | C2 | semidirect |
| 7. C23×#509 | C2 | semidirect |
| 27. Q16×C23 | D4 | semidirect |
| 31. D8×C23 | D4 | semidirect |
| 74. #509 | D23 | semidirect |
| 100. C23 | #2213 | semidirect |
| 105. Q16 | C22⋊D23 | semidirect |
| 113. D8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092852 | 2 |
| #13092792 | 2 |
| #13092534 | 2 |
| #13092237 | 2 |
| #13092231 | 2 |
| #13092230 | 2 |
| C23×#509 | 2 |
| #2213 | 23 |