Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
372 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 91 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. C2×C4⋊(C43⋊C8) | C4 | semidirect |
| 8. C2×C4×C43⋊C8 | C4 | semidirect |
| 13. C43×#324 | C4 | semidirect |
| 21. #13063240 | C8 | semidirect |
| 159. #324 | Dic43 | semidirect |
| 161. C43 | #7205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135390 | 2 |
| C4×#13063240 | 2 |
| C43×#1459 | 2 |
| #7205 | 43 |