Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊(C71⋊C32) |
| Sylow | C71 ⋊ C2×C22⋊C32 |
342 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
4640 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 89759);