Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
504 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 127 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×#14582681 | C2 | semidirect |
| 2. #19132533 | C2 | semidirect |
| 6. #14582681 | C22 | semidirect |
| 153. C43 | #11438 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582681 | 2 |
| #19132533 | 2 |
| C43×#2879 | 2 |
| #11438 | 43 |