Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11745309 |
| Fitting | C22×Q8×C29 ⋊ C2 |
| Sylow | C29 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16819877, #16819893, #16819895, … |
| maximal normal subgroup of | #16819877, #16819893, #16819895, … |
| maximal quotient of | C2×#14271028, C2×#14271053, C2×#14271064, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1067);