Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
168 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 2. #13092703 | C2 | semidirect |
| 4. #13092547 | C2 | semidirect |
| 5. #13092162 | C2 | semidirect |
| 7. C23×#335 | C2 | semidirect |
| 61. C8×C23 | SD16 | semidirect |
| 80. #335 | D23 | semidirect |
| 102. C23 | #1686 | semidirect |
| 142. C8 | #67263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092790 | 2 |
| #13092703 | 2 |
| #13092618 | 2 |
| #13092547 | 2 |
| #13092162 | 2 |
| #13092160 | 2 |
| C23×#335 | 2 |
| #1686 | 23 |