Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
410 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 109. C73 | #9801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22610921 | 2 |
| #22608690 | 2 |
| #22608616 | 2 |
| C8×#11924012 | 2 |
| C2×#500×C73 | 2 |
| #9801 | 73 |