Finite Group Databasebeta

← Group #310267

Character table — Group #310267

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111
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
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111111-1-111-111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1111-1-11111-1
χ17222222222-222-2-2-22-20000-2222200002222-2-2-2-200000000000000000-2000000000
χ18222222222-222-2-2-22-20000-222220000-2-2-2-222-2-2000000000000000002000000000
χ19222222222-222-2-2-22-20000-2-2-2-2-2000022-2-2-2-222000000000000000002000000000
χ20222222222-222-2-2-22-20000-2-2-2-2-20000-2-222222200000000000000000-2000000000
χ2122222222-22-2-2222-2-22222-2000022-2-200000000-2-22200000000-200000000000000
χ2222222222-22-2-2222-2-22222-20000-2-2-2-20000000022-2-200000000200000000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-2000022220000000022-2-200000000-200000000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-20000-2-22200000000-2-22200000000200000000000000
χ252-22-22-22-222-2-2-22-2222i2i−2i−2i-20000002i−2i000000000000000000000000002i−2i2-200000
χ262-22-22-22-222-2-2-22-2222i2i−2i−2i-20000002i−2i00000000000000000000000000−2i2i-2200000
χ272-22-22-22-222-2-2-22-222−2i−2i2i2i-2000000−2i2i000000000000000000000000002i−2i-2200000
χ282-22-22-22-222-2-2-22-222−2i−2i2i2i-2000000−2i2i00000000000000000000000000−2i2i2-200000
χ292-22-22-22-2-2222-22-2-2-22i2i−2i−2i2000000−2i2i2i−2i002i−2i0000000000000002-2000000000000
χ302-22-22-22-2-2222-22-2-2-22i2i−2i−2i2000000−2i2i−2i2i00−2i2i000000000000000-22000000000000
χ312-22-22-22-2-2222-22-2-2-2−2i−2i2i2i20000002i−2i2i−2i002i−2i000000000000000-22000000000000
χ322-22-22-22-2-2222-22-2-2-2−2i−2i2i2i20000002i−2i−2i2i00−2i2i0000000000000002-2000000000000
χ332-22-22-22-2-2-2222-22-220000-2000000002i−2i00−2i2i0000002i2i−2i−2i00000002-20000000000
χ342-22-22-22-2-2-2222-22-220000-2000000002i−2i00−2i2i000000−2i−2i2i2i0000000-220000000000
χ352-22-22-22-2-2-2222-22-220000-200000000−2i2i002i−2i0000002i2i−2i−2i0000000-220000000000
χ362-22-22-22-2-2-2222-22-220000-200000000−2i2i002i−2i000000−2i−2i2i2i00000002-20000000000
χ372-2-2-2-22220-200-222002-22-2022−2−22-2000000002−2002-22−22−222−2−20000000000002−20
χ382-2-2-2-22220-200-222002-22-2022−2−2-22000000002−200-222−22−2−2−222000000000000−220
χ392-2-2-2-22220-200-222002-22-20−2−2222-200000000−22002-2−22−22−2−222000000000000−220
χ402-2-2-2-22220-200-222002-22-20−2−222-2200000000−2200-22−22−2222−2−20000000000002−20
χ412-2-2-2-22220-200-22200-22-22022−2−22-2000000002−200-22−22−22−2−2220000000000002−20
χ422-2-2-2-22220-200-22200-22-22022−2−2-22000000002−2002-2−22−2222−2−2000000000000−220
χ432-2-2-2-22220-200-22200-22-220−2−2222-200000000−2200-222−22−222−2−2000000000000−220
χ442-2-2-2-22220-200-22200-22-220−2−222-2200000000−22002-22−22−2−2−2220000000000002−20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-440000000000000022−2222−220000000000002i2−2i20000002i−2i2i−2i000000000000000
χ47444-4-4-4-440000000000000022−2222−22000000000000−2i22i2000000−2i2i−2i2i000000000000000
χ48444-4-4-4-4400000000000000−2222−22220000000000002i2−2i2000000−2i2i−2i2i000000000000000
χ49444-4-4-4-4400000000000000−2222−2222000000000000−2i22i20000002i−2i2i−2i000000000000000
χ5044-44-4-44-40400-4-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5144-44-4-44-40400-4-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5244-44-4-44-40-40044-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ5344-44-4-44-40-40044-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ5444-4-444-4-4404-4000-400000000000000004-40000000000000000000000000000000
χ5544-4-444-4-4404-4000-40000000000000000-440000000000000000000000000000000
χ5644-4-444-4-4-40-440004000000000000000000000000000000000000000000002i2−2i2000
χ5744-4-444-4-4-40-44000400000000000000000000000000000000000000000000−2i22i2000
χ584-44-44-44-44-4-4-44-444-4000040000000000000000000000000000000000000000000
χ594-4-444-4-4440-44000-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ604-4-444-4-4440-44000-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ614-4-444-4-44-404-400040000004-4-44000000000000000000000000000000000000000
χ624-4-444-4-44-404-40004000000-444-4000000000000000000000000000000000000000
χ634-4-4-4-444404004-4-400000002222−22−220000000000−2222000000000000000000000000000
χ644-4-4-4-444404004-4-40000000−22−222222000000000022−22000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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