Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
890 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 890 conjugacy classes of subgroups — too many to draw. Only its 187 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 |
|---|---|---|
| 82. C2×Q8×C43 | Q16 | semidirect |
| 207. C43 | #18221 | semidirect |
| 263. C2×Q8 | Dic172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148405 | 2 |
| #19144635 | 2 |
| #19139957 | 2 |
| #19133639 | 2 |
| #19133571 | 2 |
| #19133160 | 2 |
| C43×#1461 | 2 |
| #18221 | 43 |