Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
1006 conjugacy classes of subgroups; only the 320 normal subgroups are shown.
This group has 1006 conjugacy classes of subgroups — too many to draw. Only its 320 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. #22625849 | C2 | semidirect |
| 100. D73 | #1832 | semidirect |
| 105. C73 | C2×#1832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989588 | 2 |
| #22625849 | 2 |
| #22625592 | 2 |
| #376×D73 | 2 |
| C2×#1832 | 73 |