Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
480 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 88 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×#17989484 | C2 | semidirect |
| 2. C2×#17989456 | C2 | semidirect |
| 3. #22624905 | C2 | direct (N × H) |
| 8. #17989484 | C22 | semidirect |
| 10. #17989456 | C22 | semidirect |
| 171. C2×C73 | #1341 | semidirect |
| 179. C73 | C2×#1341 | semidirect |
| 347. C2 | #22624905 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989484 | 2 |
| C2×#17989456 | 2 |
| #22624905 | 2 |
| C2×#17988837 | 2 |
| C2×#1341 | 73 |