Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#90809 |
| Fitting | C4×Q8×C29 ⋊ C2 |
| Sylow | C29 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817873, #16817878, #16817925, … |
| maximal normal subgroup of | #16817873, #16817878, #16817925, … |
| maximal quotient of | C4×#11745254, C4×#11745255, C4×Q8×Dic29, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1019);