Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×#22588168 |
| Fitting | C2×C4×C4⋊C4×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#1762 |
2118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
2888 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 167328);