Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
458 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 1. C4×#14556658 | C2 | semidirect |
| 2. #22625648 | C2 | semidirect |
| 3. #22624752 | C2 | semidirect |
| 177. C73 | #7676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14556658 | 2 |
| #22625648 | 2 |
| #22624752 | 2 |
| #22624748 | 2 |
| #22618304 | 2 |
| #7676 | 73 |