Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
440 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 249 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. #13092465 | C2 | semidirect |
| 4. C2×#10625004 | C2 | semidirect |
| 67. C23 | #2916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093184 | 2 |
| C2×#10625119 | 2 |
| #13092465 | 2 |
| C2×#10625004 | 2 |
| C23×#568 | 2 |
| #2916 | 23 |