Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
470 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 136 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×#17989473 | C2 | semidirect |
| 2. C2×#17989450 | C2 | semidirect |
| 3. #22624886 | C2 | direct (N × H) |
| 8. #17989473 | C22 | semidirect |
| 10. #17989450 | C22 | semidirect |
| 29. C2×D584 | C8 | semidirect |
| 64. D584 | C2×C8 | semidirect |
| 130. C2×C73 | #1331 | semidirect |
| 139. C73 | C2×#1331 | semidirect |
| 265. C2 | #22624886 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989473 | 2 |
| C2×#17989450 | 2 |
| #22624886 | 2 |
| C2×#17988669 | 2 |
| C2×#1331 | 73 |