Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11745250 |
| Sylow | C29 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16820438, #16820442, #16820451, … |
| maximal normal subgroup of | #16820438, #16820442, #16820451, … |
| maximal quotient of | C2×#14271032, C2×#14271059, C2×#14271060, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1092);