Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| isoclinism | isoclinic class of Dic58 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D116 |
| Fitting | C4×C8×C29 ⋊ C2 |
| Sylow | C29 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
488 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817446, #16817448, C8×#90782, … |
| maximal normal subgroup of | #16817446, #16817448, C8×#90782, … |
| maximal quotient of | C8×D232, C8×#90773, C8×Dic116, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 616);