Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
402 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19135378 | C2 | semidirect |
| 5. #19132703 | C2 | semidirect |
| 6. #19132683 | C2 | semidirect |
| 7. C2×C43×#367 | C2 | semidirect |
| 18. #14582707 | C4 | semidirect |
| 46. #13063261 | C2×C4 | semidirect |
| 58. C2×C16×C43 | C2×C4 | semidirect |
| 155. C2×#367 | D43 | semidirect |
| 185. C43 | #12946 | semidirect |
| 210. C2×C16 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143469 | 2 |
| C2×#14582707 | 2 |
| #19136305 | 2 |
| #19135378 | 2 |
| #19132703 | 2 |
| #19132683 | 2 |
| C2×C43×#367 | 2 |
| #12946 | 43 |