Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
462 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 89. C2×C8×C43 | Q16 | semidirect |
| 200. C43 | #10224 | semidirect |
| 262. C2×C8 | #10621885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145743 | 2 |
| #19145540 | 2 |
| #19135568 | 2 |
| #19133159 | 2 |
| #19132440 | 2 |
| C43×#3162 | 2 |
| #10224 | 43 |