Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#11719429 |
| Fitting | C2×C13×C4⋊Q8 ⋊ C2 |
| Sylow | C13 ⋊ C2×#536 |
1512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | #15755447, #15778435, #15778440, … |
| maximal normal subgroup of | #15755447, #15778435, #15778440, … |
| maximal quotient of | C2×#13117419, C2×#13117427, C2×#13117457, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17828);