Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
162 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 2. #22608023 | C2 | semidirect |
| 3. C73×C22⋊C32 | C2 | semidirect |
| 4. C2×D1168 | C4 | semidirect |
| 7. #17988413 | C4 | semidirect |
| 78. C22⋊C32 | D73 | semidirect |
| 80. C73 | #7418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22612017 | 2 |
| #22608023 | 2 |
| C73×C22⋊C32 | 2 |
| #7418 | 73 |