Finite Group Databasebeta

← Group #424607

Character table — Group #424607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12224444222222444444222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ51111111111111111111111-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ71111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111
χ911111111111111111111-1-111-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ1111111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-111
χ1211111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1
χ17222222222-2-2-2-2222-2-2-2-20000000022-2-20000000022-2-2000000002-200000000
χ18222222222-2-2-2-2222-2-2-2-20000000022-2-200000000-2-22200000000-2200000000
χ19222222222-2-2-2-2222-2-2-2-200000000-2-2220000000022-2-200000000-2200000000
χ20222222222-2-2-2-2222-2-2-2-200000000-2-22200000000-2-222000000002-200000000
χ212222-2-2-2-2222222-2-2-2-2-2-2002200-2-22-22-20000000000000000002-20000000000
χ222222-2-2-2-2222222-2-2-2-2-2-2002200-2-2-22-22000000000000000000-220000000000
χ232222-2-2-2-2222222-2-2-2-2-2-200-2-200222-22-2000000000000000000-220000000000
χ242222-2-2-2-2222222-2-2-2-2-2-200-2-20022-22-220000000000000000002-20000000000
χ252222-2-2-2-22-2-2-2-22-2-22222000000002-2-22000022-2-200002-20000000000000000
χ262222-2-2-2-22-2-2-2-22-2-22222000000002-2-220000-2-2220000-220000000000000000
χ272222-2-2-2-22-2-2-2-22-2-2222200000000-222-2000022-2-20000-220000000000000000
χ282222-2-2-2-22-2-2-2-22-2-2222200000000-222-20000-2-22200002-20000000000000000
χ292222-2-2-2-2-22-22-2-2222-22-200000000000022-2-200002i−2i2i−2i0000000000002i−2i0000
χ302222-2-2-2-2-22-22-2-2222-22-200000000000022-2-20000−2i2i−2i2i000000000000−2i2i0000
χ312222-2-2-2-2-22-22-2-2222-22-2000000000000-2-22200002i−2i2i−2i000000000000−2i2i0000
χ322222-2-2-2-2-22-22-2-2222-22-2000000000000-2-2220000−2i2i−2i2i0000000000002i−2i0000
χ332222-2-2-2-2-2-22-22-222-22-222200-2-2000000000000002i−2i−2i2i00000000002i−2i000000
χ342222-2-2-2-2-2-22-22-222-22-222200-2-200000000000000−2i2i2i−2i0000000000−2i2i000000
χ352222-2-2-2-2-2-22-22-222-22-22-2-20022000000000000002i−2i−2i2i0000000000−2i2i000000
χ362222-2-2-2-2-2-22-22-222-22-22-2-2002200000000000000−2i2i2i−2i00000000002i−2i000000
χ3722-2-222-2-222-2-22-22-222-2-22-22-22-22-20000000000000000002-200000000000000
χ3822-2-222-2-222-2-22-22-222-2-22-2-222-2-22000000000000000000-2200000000000000
χ3922-2-222-2-222-2-22-22-222-2-2-222-2-222-2000000000000000000-2200000000000000
χ4022-2-222-2-222-2-22-22-222-2-2-22-22-22-220000000000000000002-200000000000000
χ4122-2-222-2-2-222-2-22-22-222-20000000000002i−2i2i−2i2-22-2000000000000000000002i−2i
χ4222-2-222-2-2-222-2-22-22-222-20000000000002i−2i2i−2i-22-2200000000000000000000−2i2i
χ4322-2-222-2-2-222-2-22-22-222-2000000000000−2i2i−2i2i2-22-200000000000000000000−2i2i
χ4422-2-222-2-2-222-2-22-22-222-2000000000000−2i2i−2i2i-22-22000000000000000000002i−2i
χ4522-2-2-2-22222-2-22-2-22-2-222002-200-2200002i−2i−2i2i0000000000002i−2i000000000000
χ4622-2-2-2-22222-2-22-2-22-2-222002-200-220000−2i2i2i−2i000000000000−2i2i000000000000
χ4722-2-2-2-22222-2-22-2-22-2-22200-22002-200002i−2i−2i2i000000000000−2i2i000000000000
χ4822-2-2-2-22222-2-22-2-22-2-22200-22002-20000−2i2i2i−2i0000000000002i−2i000000000000
χ4922-2-2-2-222-2-2-22222-2-222-22-200-2200000000002-2-220000000000000000002-200
χ5022-2-2-2-222-2-2-22222-2-222-22-200-220000000000-222-2000000000000000000-2200
χ5122-2-2-2-222-2-2-22222-2-222-2-22002-200000000002-2-22000000000000000000-2200
χ5222-2-2-2-222-2-2-22222-2-222-2-22002-20000000000-222-20000000000000000002-200
χ5344444444-44-44-4-4-4-4-44-44000000000000000000000000000000000000000000
χ5444444444-4-44-44-4-4-44-44-4000000000000000000000000000000000000000000
χ5544-4-444-4-44-444-4-44-4-4-444000000000000000000000000000000000000000000
χ5644-4-444-4-4-4-4-4444-444-4-44000000000000000000000000000000000000000000
χ5744-4-4-4-4444-444-4-4-4444-4-4000000000000000000000000000000000000000000
χ5844-4-4-4-444-444-4-444-44-4-44000000000000000000000000000000000000000000
χ598-88-88i−8i8i−8i000000000000000000000000000000000000000000000000000000
χ608-88-8−8i8i−8i8i000000000000000000000000000000000000000000000000000000
χ618-8-888i−8i−8i8i000000000000000000000000000000000000000000000000000000
χ628-8-88−8i8i8i−8i000000000000000000000000000000000000000000000000000000

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