Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
612 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 77 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. C2×#17988382 | C2 | semidirect |
| 4. #22610320 | C2 | semidirect |
| 5. #22610211 | C2 | semidirect |
| 6. #22608049 | C2 | semidirect |
| 278. C73 | #13424 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17988382 | 2 |
| C2×#17988374 | 2 |
| #22610340 | 2 |
| #22610320 | 2 |
| #22610211 | 2 |
| #22608049 | 2 |
| C73×#2684 | 2 |
| #13424 | 73 |