Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1526 conjugacy classes of subgroups; only the 299 normal subgroups are shown.
This group has 1526 conjugacy classes of subgroups — too many to draw. Only its 299 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. C2×#14583281 | C2 | semidirect |
| 2. C2×#14583278 | C2 | semidirect |
| 4. C2×#14583273 | C2 | semidirect |
| 5. C2×#14583271 | C2 | semidirect |
| 6. #19142952 | C2 | semidirect |
| 7. C42×C43⋊C8 | C2 | semidirect |
| 8. C43×#2858 | C2 | semidirect |
| 52. C4×C43⋊C8 | D4 | semidirect |
| 147. C4×C43 | #495 | semidirect |
| 157. #2858 | D43 | semidirect |
| 185. C43 | #33303 | semidirect |
| 303. C4 | #14583281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583281 | 2 |
| C2×#14583278 | 2 |
| C2×#14583275 | 2 |
| C2×#14583273 | 2 |
| C2×#14583271 | 2 |
| #19142952 | 2 |
| C42×C43⋊C8 | 2 |
| C43×#2858 | 2 |
| #33303 | 43 |