Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
1258 conjugacy classes of subgroups; only the 240 normal subgroups are shown.
This group has 1258 conjugacy classes of subgroups — too many to draw. Only its 240 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 |
|---|---|---|
| 2. #22626074 | C2 | semidirect |
| 140. C4×D73 | #101 | semidirect |
| 170. C73 | #21799 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626609 | 2 |
| #22626074 | 2 |
| #22625766 | 2 |
| C2×C4⋊Q8×D73 | 2 |
| #21799 | 73 |