Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 133 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. #13093078 | C2 | semidirect |
| 3. #13092802 | C2 | semidirect |
| 4. #13092655 | C2 | semidirect |
| 5. #13092653 | C2 | semidirect |
| 6. #13092641 | C2 | semidirect |
| 7. #13092578 | C2 | semidirect |
| 8. #13092556 | C2 | semidirect |
| 9. Q16×Dic23 | C2 | semidirect |
| 10. C8×C22⋊D23 | C2 | semidirect |
| 11. C22×Q16×C23 | C2 | semidirect |
| 58. Q16×C23 | D4 | semidirect |
| 114. C22×C23 | #135 | semidirect |
| 132. C22×Q16 | D23 | semidirect |
| 177. C23 | #3285 | semidirect |
| 195. Q16 | C22⋊D23 | semidirect |
| 256. C22 | #10625090 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625090 | 2 |
| #13093078 | 2 |
| #13092802 | 2 |
| #13092655 | 2 |
| #13092653 | 2 |
| #13092641 | 2 |
| #13092578 | 2 |
| #13092556 | 2 |
| Q16×Dic23 | 2 |
| C8×C22⋊D23 | 2 |
| C22×Q16×C23 | 2 |
| #3285 | 23 |