Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
180 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #13092169 | C2 | semidirect |
| 4. #13092167 | C2 | semidirect |
| 28. #67267 | C8 | semidirect |
| 49. C23⋊C8 | C2×C8 | semidirect |
| 84. C23 | #1565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092470 | 2 |
| C4×#67267 | 2 |
| #13092169 | 2 |
| #13092167 | 2 |
| C2×C23×C4⋊C8 | 2 |
| #1565 | 23 |