Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C23×C8 |
| direct product | C8×C22⋊#10596833 |
| Sylow | C73 ⋊ C8×C22⋊C8 |
726 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
1312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1086964);