Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
2046 conjugacy classes of subgroups; only the 347 normal subgroups are shown.
This group has 2046 conjugacy classes of subgroups — too many to draw. Only its 347 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×#14583276 | C2 | semidirect |
| 2. C2×#14583275 | C2 | semidirect |
| 3. C2×#14583274 | C2 | semidirect |
| 4. #19142989 | C2 | semidirect |
| 5. C4×C8×Dic43 | C2 | semidirect |
| 6. C2×C43×#493 | C2 | semidirect |
| 36. C4×C43⋊C8 | D4 | semidirect |
| 37. C8×Dic43 | D4 | semidirect |
| 46. C4×C8×C43 | D4 | semidirect |
| 70. C4×Dic43 | D8 | semidirect |
| 96. C8×C43 | #127 | semidirect |
| 97. C43⋊C8 | #127 | semidirect |
| 108. C4×C43 | #493 | semidirect |
| 111. Dic43 | #493 | semidirect |
| 115. C2×#493 | D43 | semidirect |
| 138. C43 | #33301 | semidirect |
| 163. C4×C8 | C22⋊D43 | semidirect |
| 214. C8 | #13063321 | semidirect |
| 225. C4 | #14583274 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583276 | 2 |
| C2×#14583275 | 2 |
| C2×#14583274 | 2 |
| #19142989 | 2 |
| C4×C8×Dic43 | 2 |
| C2×C43×#493 | 2 |
| #33301 | 43 |