Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11745310 |
| Sylow | C29 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16819294, #16819295, #16819330, … |
| maximal normal subgroup of | #16819294, #16819295, #16819330, … |
| maximal quotient of | C2×#14271119, C4×#11745310, C2×#14271130, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1312);