Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
316 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 316 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 |
|---|---|---|
| 1. #19136389 | C2 | semidirect |
| 4. C4×#13063261 | C2 | semidirect |
| 5. #19132706 | C2 | semidirect |
| 6. #19132677 | C2 | semidirect |
| 14. #14582715 | C4 | semidirect |
| 15. #14582712 | C4 | semidirect |
| 164. C43 | #13137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136389 | 2 |
| #19136344 | 2 |
| #19136323 | 2 |
| C4×#13063261 | 2 |
| #19132706 | 2 |
| #19132677 | 2 |
| C43×#1974 | 2 |
| #13137 | 43 |