Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719272 |
| Sylow | C13 ⋊ C2×#557 |
1048 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15754575, #15754578, #15754655, … |
| maximal normal subgroup of | #15754575, #15754578, #15754655, … |
| maximal quotient of | C2×C4⋊C4×Dic26, C2×#13117756, C2×#13117789, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 18082);