Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
214 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 159 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. #22608067 | C2 | semidirect |
| 4. #17988421 | C4 | semidirect |
| 6. C2×#14556497 | C4 | semidirect |
| 62. C73 | #13551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17988421 | 2 |
| #22608067 | 2 |
| C73×#2108 | 2 |
| #13551 | 73 |