Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×D4×Dic26 |
| Sylow | C13 ⋊ C2×D4×Q8 |
1568 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15754600, #15754603, #15754646, … |
| maximal normal subgroup of | #15754600, #15754603, #15754646, … |
| maximal quotient of | C2×C22⋊C4×Dic26, C2×D4×#6101, C2×D4×C4⋊Dic13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17984);