Finite Group Databasebeta

← Group #280270

Character table — Group #280270

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1111-1-11111-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1111-11111-1-1-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-111111-1-111-1
χ17222222222-22-2-222-2-22222-2000022-2-20000000022-2-2000000000000-20000000000
χ18222222222-22-2-222-2-22222-20000-2-2-2-200000000-2-22200000000000020000000000
χ19222222222-22-2-222-2-2-2-2-2-2-20000222200000000-2-222000000000000-20000000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-2220000000022-2-200000000000020000000000
χ2122222222-22-222-2-22-20000-2222200002222-2-2-2-200000000000000000-2000000000
χ2222222222-22-222-2-22-20000-222220000-2-2-2-222-2-2000000000000000002000000000
χ2322222222-22-222-2-22-20000-2-2-2-2-2000022-2-2-2-222000000000000000002000000000
χ2422222222-22-222-2-22-20000-2-2-2-2-20000-2-222222200000000000000000-2000000000
χ252-222-2-22-2-20-20022002i2i−2i−2i022−2−22-2000000002−22i−2i00i2i2−i2−i2i2i2−i2−i20000000000002−20
χ262-222-2-22-2-20-20022002i2i−2i−2i022−2−2-22000000002−2−2i2i00i2i2−i2−i2−i2−i2i2i2000000000000−220
χ272-222-2-22-2-20-20022002i2i−2i−2i0−2−2222-200000000−222i−2i00−i2−i2i2i2−i2−i2i2i2000000000000−220
χ282-222-2-22-2-20-20022002i2i−2i−2i0−2−222-2200000000−22−2i2i00−i2−i2i2i2i2i2−i2−i20000000000002−20
χ292-222-2-22-2-20-2002200−2i−2i2i2i022−2−22-2000000002−2−2i2i00−i2−i2i2i2−i2−i2i2i20000000000002−20
χ302-222-2-22-2-20-2002200−2i−2i2i2i022−2−2-22000000002−22i−2i00−i2−i2i2i2i2i2−i2−i2000000000000−220
χ312-222-2-22-2-20-2002200−2i−2i2i2i0−2−2222-200000000−22−2i2i00i2i2−i2−i2i2i2−i2−i2000000000000−220
χ322-222-2-22-2-20-2002200−2i−2i2i2i0−2−222-2200000000−222i−2i00i2i2−i2−i2−i2−i2i2i20000000000002−20
χ332-22-22-2-2222-2-2-22-2222i−2i2i−2i-20000002i−2i000000000000000000000000002-2002i−2i000
χ342-22-22-2-2222-2-2-22-2222i−2i2i−2i-20000002i−2i00000000000000000000000000-2200−2i2i000
χ352-22-22-2-2222-2-2-22-222−2i2i−2i2i-2000000−2i2i000000000000000000000000002-200−2i2i000
χ362-22-22-2-2222-2-2-22-222−2i2i−2i2i-2000000−2i2i00000000000000000000000000-22002i−2i000
χ372-22-22-2-222-2-2222-2-2-22i−2i2i−2i2000000−2i2i2-2002-2000000000000002i−2i0000000000000
χ382-22-22-2-222-2-2222-2-2-22i−2i2i−2i2000000−2i2i-2200-2200000000000000−2i2i0000000000000
χ392-22-22-2-222-2-2222-2-2-2−2i2i−2i2i20000002i−2i2-2002-200000000000000−2i2i0000000000000
χ402-22-22-2-222-2-2222-2-2-2−2i2i−2i2i20000002i−2i-2200-22000000000000002i−2i0000000000000
χ412-22-22-2-22-2-2222-22-220000-2000000002-200-220000002i−2i2i−2i0000002i−2i00000000000
χ422-22-22-2-22-2-2222-22-220000-2000000002-200-22000000−2i2i−2i2i000000−2i2i00000000000
χ432-22-22-2-22-2-2222-22-220000-200000000-22002-20000002i−2i2i−2i000000−2i2i00000000000
χ442-22-22-2-22-2-2222-22-220000-200000000-22002-2000000−2i2i−2i2i0000002i−2i00000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-440-400-4400000000000000000000000000022−22−22220000000000000000000
χ47444-4-44-4-440-400-44000000000000000000000000000−222222−220000000000000000000
χ48444-4-44-4-4-404004-4004-4-4400000000000000000000000000000000000000000000
χ49444-4-44-4-4-404004-400-444-400000000000000000000000000000000000000000000
χ5044-444-4-4-40000000000000022−2222−220000000000000022−2200002-22-2000000000000000
χ5144-444-4-4-40000000000000022−2222−2200000000000000−22220000-22-22000000000000000
χ5244-444-4-4-400000000000000−2222−22220000000000000022−220000-22-22000000000000000
χ5344-444-4-4-400000000000000−2222−222200000000000000−222200002-22-2000000000000000
χ5444-4-4-4-4440404-400-400000000000000004i−4i0000000000000000000000000000000
χ5544-4-4-4-4440404-400-40000000000000000−4i4i0000000000000000000000000000000
χ5644-4-4-4-4440-40-4400400000000000000000000000000000000000000000022−2200000
χ5744-4-4-4-4440-40-44004000000000000000000000000000000000000000000−222200000
χ584-444-4-44-440400-4-400000002222−22−220000000000−2222000000000000000000000000000
χ594-444-4-44-440400-4-40000000−22−222222000000000022−22000000000000000000000000000
χ604-44-44-4-44-444-4-4-444-4000040000000000000000000000000000000000000000000
χ614-4-44-44-44040-4400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-44-44-44040-4400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-44-44-440-404-40040000004-4-44000000000000000000000000000000000000000
χ644-4-44-44-440-404-4004000000-444-4000000000000000000000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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