Finite Group Databasebeta

← Group #486549

Character table — Group #486549

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444444444444444444442222444448888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111-111-1-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-11-1111111-1-1-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1111111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1111-1-1-1-11111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-1-11111-1-1-1-111
χ9111111-1-1-1-1-1-11-111111-1-1-1-1-111-1-111-1-111111-1-1-111-111-1-111-1-11-1
χ10111111-1-1-1-1-1-11-111111-1-1-1-1-111-1-111-1-11111-11-1-11-11-1-111-1-111-11
χ11111111-1-1-1-1-1-11-111111-1-1-1-1-1-1-111-1-111111-11-111-11-1-1-111-1-1111-1
χ12111111-1-1-1-1-1-11-111111-1-1-1-1-1-1-111-1-111111-1-1111-1-1111-1-111-1-1-11
χ13111111-1-1-1-1-1-11-1-1-1-1-11-1111111-1-1-1-11111-111-11-1-11-111-1-1-1-111-11
χ14111111-1-1-1-1-1-11-1-1-1-1-11-1111111-1-1-1-11111-11-111-1-1-11-1-11111-1-11-1
χ15111111-1-1-1-1-1-11-1-1-1-1-11-11111-1-11111-1-111-1-11-1-1111-1-1-11111-1-1-11
χ16111111-1-1-1-1-1-11-1-1-1-1-11-11111-1-11111-1-111-1-1-11-111-1111-1-1-1-1111-1
χ172222222222-2-2-220000-2-20000000022222-20000-20-2000000000000
χ182222222222-2-2-220000-2-200000000-2-2-2-22-20000202000000000000
χ1922222222-2-222-220000-2-2000022220000-220-2000-20000000000000
χ2022222222-2-222-220000-2-20000-2-2-2-20000-220200020000000000000
χ2122222222-2-2-2-222222222-2-22200000000-2-2-2000000000000000000
χ2222222222-2-2-2-222-2-2-2-22222-2-200000000-2-22000000000000000000
χ23222222-2-222222-222222-222-2-200000000-2-2-2000000000000000000
χ24222222-2-222222-2-2-2-2-22-2-2-22200000000-2-22000000000000000000
χ25222222-2-222-2-2-2-20000-22000022-2-20000-220-200020000000000000
χ26222222-2-222-2-2-2-20000-220000-2-2220000-2202000-20000000000000
χ27222222-2-2-2-222-2-20000-220000000022-2-22-2000020-2000000000000
χ28222222-2-2-2-222-2-20000-2200000000-2-2222-20000-202000000000000
χ292-22-22-2002-22-2202i2i−2i−2i-202i−2i0000000000000000000002−22−2i2−i2i2−i200
χ302-22-22-2002-22-2202i2i−2i−2i-202i−2i000000000000000000000−22−22−i2i2−i2i200
χ312-22-22-2002-22-220−2i−2i2i2i-20−2i2i0000000000000000000002−22−2−i2i2−i2i200
χ322-22-22-2002-22-220−2i−2i2i2i-20−2i2i000000000000000000000−22−22i2−i2i2−i200
χ332-22-22-200-22-22202i2i−2i−2i-20−2i2i0000000000000000000002−2−22i2−i2−i2i200
χ342-22-22-200-22-22202i2i−2i−2i-20−2i2i000000000000000000000−222−2−i2i2i2−i200
χ352-22-22-200-22-2220−2i−2i2i2i-202i−2i0000000000000000000002−2−22−i2i2i2−i200
χ362-22-22-200-22-2220−2i−2i2i2i-202i−2i000000000000000000000−222−2i2−i2−i2i200
χ374444-4-44400000-400000000000000000000002-2000-220000000000
χ384444-4-44400000-40000000000000000000000-220002-20000000000
χ394444-4-4-4-4000004000000000000000000000022000-2-20000000000
χ404444-4-4-4-40000040000000000000000000000-2-2000220000000000
χ4144-4-4004i−4i0000002i−2i2i−2i00002-22i−2i2-22-22i−2i000000000000000000000
χ4244-4-4004i−4i0000002i−2i2i−2i00002-2−2i2i-22-22−2i2i000000000000000000000
χ4344-4-4004i−4i000000−2i2i−2i2i0000-222i−2i2-2-22−2i2i000000000000000000000
χ4444-4-4004i−4i000000−2i2i−2i2i0000-22−2i2i-222-22i−2i000000000000000000000
χ4544-4-400−4i4i0000002i−2i2i−2i0000-222i−2i-222-2−2i2i000000000000000000000
χ4644-4-400−4i4i0000002i−2i2i−2i0000-22−2i2i2-2-222i−2i000000000000000000000
χ4744-4-400−4i4i000000−2i2i−2i2i00002-22i−2i-22-222i−2i000000000000000000000
χ4844-4-400−4i4i000000−2i2i−2i2i00002-2−2i2i2-22-2−2i2i000000000000000000000
χ494-44-44-4004-4-44-40000040000000000000000000000000000000000
χ504-44-44-400-444-4-40000040000000000000000000000000000000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000004-4-4400000000000000000000000000000000000
χ538-8-880000000000-444-400000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).