Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
504 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×#10625090 | C2 | semidirect |
| 2. #13093086 | C2 | semidirect |
| 3. #13092792 | C2 | semidirect |
| 4. #13092653 | C2 | semidirect |
| 5. #13092650 | C2 | semidirect |
| 6. #13092615 | C2 | semidirect |
| 7. #13092562 | C2 | semidirect |
| 8. #13092561 | C2 | semidirect |
| 9. Q16×Dic23 | C2 | semidirect |
| 10. C8×C22⋊D23 | C2 | semidirect |
| 11. C2×C23×#135 | C2 | semidirect |
| 59. Q16×C23 | D4 | semidirect |
| 135. Dic23 | #135 | semidirect |
| 137. C2×#135 | D23 | semidirect |
| 183. C23 | #3287 | semidirect |
| 202. Q16 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625090 | 2 |
| #13093086 | 2 |
| #13092792 | 2 |
| #13092653 | 2 |
| #13092650 | 2 |
| #13092615 | 2 |
| #13092562 | 2 |
| #13092561 | 2 |
| Q16×Dic23 | 2 |
| C8×C22⋊D23 | 2 |
| C2×C23×#135 | 2 |
| #3287 | 23 |