Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C24 |
| direct product | D4⋊C16×D73 |
| Fitting | C73×D4⋊C16 ⋊ C2 |
| Sylow | C73 ⋊ C2×D4⋊C16 |
470 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
2128 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 79265);