Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
258 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19132677 | C2 | semidirect |
| 2. C43⋊#1273 | C2 | semidirect |
| 20. C2×Q16×C43 | C8 | semidirect |
| 22. C2×D8×C43 | C8 | semidirect |
| 123. C43 | #7114 | semidirect |
| 127. C2×Q16 | C43⋊C8 | semidirect |
| 129. C2×D8 | C43⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19132677 | 2 |
| C43⋊#1273 | 2 |
| C43×#1974 | 2 |
| #7114 | 43 |