Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11745172 |
| Sylow | C29 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
302 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16819287, C4×#11745172, #16819414, … |
| maximal normal subgroup of | #16819287, C4×#11745172, #16819414, … |
| maximal quotient of | C2×#14270888, #16817815, #16817821, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 528);