Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
808 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 808 conjugacy classes of subgroups — too many to draw. Only its 100 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×#14556652 | C2 | semidirect |
| 2. #22625392 | C2 | semidirect |
| 3. #22625272 | C2 | semidirect |
| 4. #22625193 | C2 | semidirect |
| 214. C73 | #8370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14556652 | 2 |
| #22625392 | 2 |
| #22625272 | 2 |
| #22625193 | 2 |
| C2×#17989322 | 2 |
| #8370 | 73 |