Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×C8×D52 |
| Fitting | C2×C4×C8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#88063, #15753488, C8×#88061, … |
| maximal normal subgroup of | C8×#88063, #15753488, C8×#88061, … |
| maximal quotient of | C2×C8×D104, C2×C8×#6095, C2×C8×Dic52, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13184);