Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| isoclinism | isoclinic class of Dic58 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×Dic58 |
| Sylow | C29 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
488 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817815, #16817835, C2×#14270893, … |
| maximal normal subgroup of | #16817815, #16817835, C2×#14270893, … |
| maximal quotient of | C2×C4×C4⋊Dic29, C2×C4×#90779, C42×Dic58, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1014);