Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D464 |
| Fitting | C2×C16×C29 ⋊ C2 |
| Sylow | C29 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
470 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817669, #16817671, #16817681, … |
| maximal normal subgroup of | #16817669, #16817671, #16817681, … |
| maximal quotient of | C2×#14270965, C2×#14270989, C4×D464, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 970);