Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| isoclinism | isoclinic class of #90773 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic116 |
| Sylow | C29 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817455, #16817457, #16817461, … |
| maximal normal subgroup of | #16817455, #16817457, #16817461, … |
| maximal quotient of | C8×Dic116, #16818344, #16818390, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 645);