Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
168 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13092547 | C2 | semidirect |
| 4. #13092168 | C2 | semidirect |
| 5. #13092149 | C2 | semidirect |
| 7. C23×#322 | C2 | semidirect |
| 58. C8×C23 | SD16 | semidirect |
| 80. #322 | D23 | semidirect |
| 100. C23 | #1582 | semidirect |
| 138. C8 | #67263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092547 | 2 |
| C4×#67263 | 2 |
| C8×D92 | 2 |
| #13092168 | 2 |
| #13092149 | 2 |
| #13092146 | 2 |
| C23×#322 | 2 |
| #1582 | 23 |