Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | C2×C4×#14556637 |
| Fitting | C2×C4×#41×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×C4×H(5,𝔽2) |
12378 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
3016 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1076171);