Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
698 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 237. C43 | #9991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145416 | 2 |
| C2×#14583057 | 2 |
| C2×#14583054 | 2 |
| #19134518 | 2 |
| #19132960 | 2 |
| #19132483 | 2 |
| C43×#1472 | 2 |
| #9991 | 43 |