Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
234 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 12. #17988362 | C4 | semidirect |
| 13. C16×Dic73 | C4 | semidirect |
| 113. C73 | #12893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22611527 | 2 |
| #22610056 | 2 |
| #22610054 | 2 |
| #22608034 | 2 |
| #22608032 | 2 |
| #22608027 | 2 |
| C73×#1382 | 2 |
| #12893 | 73 |