Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
346 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 93 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×#14582723 | C2 | semidirect |
| 5. #19134750 | C2 | semidirect |
| 6. #19132676 | C2 | semidirect |
| 7. C2×C43×#365 | C2 | semidirect |
| 139. C2×#365 | D43 | semidirect |
| 165. C43 | #13533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582723 | 2 |
| C2×#14582710 | 2 |
| C2×#14582708 | 2 |
| #19135481 | 2 |
| #19134750 | 2 |
| #19132676 | 2 |
| C2×C43×#365 | 2 |
| #13533 | 43 |