Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
194 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 61. C16×C43 | Q16 | semidirect |
| 117. C43 | #12462 | semidirect |
| 157. C16 | #10621885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136503 | 2 |
| #19133996 | 2 |
| #19133986 | 2 |
| #19132667 | 2 |
| #19132653 | 2 |
| #19132650 | 2 |
| C43×#2254 | 2 |
| #12462 | 43 |