Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
354 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19136381 | C2 | semidirect |
| 2. C2×#14582720 | C2 | semidirect |
| 5. #19135343 | C2 | semidirect |
| 6. #19132703 | C2 | semidirect |
| 171. C43 | #13478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136381 | 2 |
| C2×#14582720 | 2 |
| C2×#14582712 | 2 |
| #19136311 | 2 |
| #19135343 | 2 |
| #19132703 | 2 |
| C43×#1970 | 2 |
| #13478 | 43 |