Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | AΣL(1,𝔽16)×Dic71 |
| Sylow | C71 ⋊ C4×AΣL(1,𝔽16) |
844 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2272 |
962 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 84702);