Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
378 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 96 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×#14556664 | C2 | semidirect |
| 2. #22625489 | C2 | semidirect |
| 3. #22624885 | C2 | semidirect |
| 129. C73 | #11671 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14556664 | 2 |
| #22625489 | 2 |
| #22624885 | 2 |
| #22620508 | 2 |
| #11671 | 73 |