Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
434 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 86. C8×C43 | #101 | semidirect |
| 123. C43 | #9808 | semidirect |
| 191. C8 | #13063243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583304 | 2 |
| #19135439 | 2 |
| #19133351 | 2 |
| #19133266 | 2 |
| C43×#1451 | 2 |
| #9808 | 43 |