Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
322 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 84. C8×C43 | #108 | semidirect |
| 127. C43 | #8828 | semidirect |
| 193. C8 | #13063260 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134766 | 2 |
| #19134732 | 2 |
| #19133353 | 2 |
| #19133351 | 2 |
| #19133350 | 2 |
| C2×#14582620 | 2 |
| C43×#1567 | 2 |
| #8828 | 43 |