Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
232 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 63 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×Dic688 | C2 | semidirect |
| 2. C2×#14582739 | C2 | semidirect |
| 5. #19136846 | C2 | semidirect |
| 6. #19132728 | C2 | semidirect |
| 120. C43 | #13730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic688 | 2 |
| C2×#14582739 | 2 |
| C2×#14582737 | 2 |
| #19136853 | 2 |
| #19136846 | 2 |
| #19132728 | 2 |
| C2×C43×SD64 | 2 |
| #13730 | 43 |