Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
364 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 188. C43 | #10554 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144977 | 2 |
| #19135368 | 2 |
| #19133268 | 2 |
| C2×#14582644 | 2 |
| #19132998 | 2 |
| #19132445 | 2 |
| C43×#1550 | 2 |
| #10554 | 43 |