Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×C8×Dic26 |
| Sylow | C13 ⋊ C2×C8×Q8 |
440 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#88064, #15753493, C8×#88056, … |
| maximal normal subgroup of | C8×#88064, #15753493, C8×#88056, … |
| maximal quotient of | C2×C8×C4⋊Dic13, C2×C8×#6101, C4×C8×Dic26, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13431);