Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
830 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 830 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14583054 | C2 | semidirect |
| 3. C2×#14582636 | C2 | semidirect |
| 5. #19132865 | C2 | semidirect |
| 6. #19132438 | C2 | semidirect |
| 277. C43 | #9965 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583054 | 2 |
| C2×#14583037 | 2 |
| C2×#14582636 | 2 |
| C2×#14582633 | 2 |
| #19132865 | 2 |
| #19132438 | 2 |
| C43×#2639 | 2 |
| #9965 | 43 |