Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
356 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19132700 | C2 | semidirect |
| 6. #19132675 | C2 | semidirect |
| 7. C43×#1773 | C2 | semidirect |
| 16. #14582699 | C4 | semidirect |
| 137. #1773 | D43 | semidirect |
| 159. C43 | #13142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582723 | 2 |
| C2×#14582711 | 2 |
| #19136310 | 2 |
| #19135471 | 2 |
| #19132700 | 2 |
| #19132675 | 2 |
| C43×#1773 | 2 |
| #13142 | 43 |