Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11745212 |
| Sylow | C29 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #16834552, #16834553, #16834571, … |
| maximal normal subgroup of | #16834552, #16834553, #16834571, … |
| maximal quotient of | C2×#14272025, C2×#14272026, #16835042, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1563);