Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11745231 |
| Sylow | C29 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#14270908, C2×#14270910, C2×#14270911, … |
| maximal normal subgroup of | C2×#14270908, C2×#14270910, C2×#14270911, … |
| maximal quotient of | C2×#14271033, C2×#14271061, C2×#14271069, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1093);