Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#11745232 |
| Sylow | C29 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817847, #16817849, C2×#14270904, … |
| maximal normal subgroup of | #16817847, #16817849, C2×#14270904, … |
| maximal quotient of | C2×#14271029, C2×#14271047, C2×#14271061, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1071);