Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
494 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 112 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×#17989643 | C2 | semidirect |
| 2. C2×#17989486 | C2 | semidirect |
| 3. C2×#17989482 | C2 | semidirect |
| 4. #22624985 | C2 | semidirect |
| 27. #14556665 | D4 | semidirect |
| 165. C2×D73 | #350 | semidirect |
| 187. C73 | #12978 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989643 | 2 |
| C2×#17989486 | 2 |
| C2×#17989482 | 2 |
| #22624985 | 2 |
| #22618624 | 2 |
| #12978 | 73 |