Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1830 conjugacy classes of subgroups; only the 667 normal subgroups are shown.
This group has 1830 conjugacy classes of subgroups — too many to draw. Only its 667 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. #19140560 | C2 | direct (N × H) |
| 98. C2×C43 | #2645 | semidirect |
| 116. C43 | C2×#2645 | semidirect |
| 187. C2 | #19140560 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140560 | 2 |
| C2×C43⋊#401 | 2 |
| C2×#14582840 | 2 |
| C2×#14582805 | 2 |
| C2×#14582797 | 2 |
| C2×C43×#376 | 2 |
| C2×#2645 | 43 |