Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| isoclinism | isoclinic class of Dic58 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#90772 |
| Fitting | C22×C8×C29 ⋊ C2 |
| Sylow | C29 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
488 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16819184, #16819187, #16819210, … |
| maximal normal subgroup of | #16819184, #16819187, #16819210, … |
| maximal quotient of | C22×#11745163, C2×C4×#90772, C22×#11745168, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1308);