Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of #6118 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22×#88098 |
| Sylow | C13 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #16789045, #16789049, C2×#13129876, … |
| maximal normal subgroup of | #16789045, #16789049, C2×#13129876, … |
| maximal quotient of | C22×#11718258, C2×C4×#88098, C22×#11718259, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21473);