Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
226 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 4. C2×#13063317 | C4 | semidirect |
| 8. #14582654 | C4 | semidirect |
| 111. C43 | #7428 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135741 | 2 |
| #19132720 | 2 |
| C43×#1318 | 2 |
| #7428 | 43 |