Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
906 conjugacy classes of subgroups; only the 227 normal subgroups are shown.
This group has 906 conjugacy classes of subgroups — too many to draw. Only its 227 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. #19145174 | C2 | semidirect |
| 2. #19145023 | C2 | semidirect |
| 3. #19134266 | C2 | semidirect |
| 4. #19134261 | C2 | semidirect |
| 5. C2×C43×#322 | C2 | semidirect |
| 49. C2×C8×C43 | D8 | semidirect |
| 92. C2×#322 | D43 | semidirect |
| 111. C43 | #19616 | semidirect |
| 145. C2×C8 | D344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145174 | 2 |
| #19145023 | 2 |
| #19134266 | 2 |
| #19134261 | 2 |
| C2×C43×#322 | 2 |
| #19616 | 43 |