Finite Group Databasebeta

← Group #306632

Character table — Group #306632

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-1-1-1-11-1-1-1-111-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-11111-1-11
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-11
χ101111111111111111-1-1-1-111111111-1-111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-111-1-111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-111-1-111111-1-1-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-111111
χ17222222222-22-22-22-20000-2-222222200-2-20022-2-2000000000000-200000000000000
χ18222222222-22-22-22-20000-2-22222-2-2002200-2-2-2-2000000000000200000000000000
χ19222222222-22-22-22-20000-2-2-2-2-2-222002200-2-222000000000000-200000000000000
χ20222222222-22-22-22-20000-2-2-2-2-2-2-2-200-2-2002222000000000000200000000000000
χ2122222222-22-22-22-222222-2-2000000-2-200220000220000-2-2000000000-2000000000
χ2222222222-22-22-22-222222-2-2000000-2-200-2-20000-2-20000220000000002000000000
χ2322222222-22-22-22-22-2-2-2-2-2-20000002200220000-2-2000022000000000-2000000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000002200-2-20000220000-2-20000000002000000000
χ252-222-2-2-222-2-222-2-222i2i−2i−2i-220000002i−2i000000000000000000000000002i−2i00002-20
χ262-222-2-2-222-2-222-2-222i2i−2i−2i-220000002i−2i00000000000000000000000000−2i2i0000-220
χ272-222-2-2-222-2-222-2-22−2i−2i2i2i-22000000−2i2i000000000000000000000000002i−2i0000-220
χ282-222-2-2-222-2-222-2-22−2i−2i2i2i-22000000−2i2i00000000000000000000000000−2i2i00002-20
χ292-222-2-2-22-222-2-222-20000-22000000002-2002-200002i2i−2i−2i00000002i−2i000000000000
χ302-222-2-2-22-222-2-222-20000-22000000002-2002-20000−2i−2i2i2i0000000−2i2i000000000000
χ312-222-2-2-22-222-2-222-20000-2200000000-2200-2200002i2i−2i−2i0000000−2i2i000000000000
χ322-222-2-2-22-222-2-222-20000-2200000000-2200-220000−2i−2i2i2i00000002i−2i000000000000
χ332-222-2-2-22-2-222-2-2222i2i−2i−2i2-2000000−2i2i2-200-22000000000000000002i−2i0000000000
χ342-222-2-2-22-2-222-2-2222i2i−2i−2i2-2000000−2i2i-22002-200000000000000000−2i2i0000000000
χ352-222-2-2-22-2-222-2-222−2i−2i2i2i2-20000002i−2i2-200-2200000000000000000−2i2i0000000000
χ362-222-2-2-22-2-222-2-222−2i−2i2i2i2-20000002i−2i-22002-2000000000000000002i−2i0000000000
χ372-22-222-2-2020-20-2022-22-200i2i2−i2−i20000002i−2i00i2−i22i−2ii2−i2i2−i20022−2−200000000002−2000
χ382-22-222-2-2020-20-2022-22-200i2i2−i2−i2000000−2i2i00i2−i2−2i2ii2−i2i2−i200−2−2220000000000−22000
χ392-22-222-2-2020-20-2022-22-200−i2−i2i2i20000002i−2i00−i2i22i−2i−i2i2−i2i200−2−2220000000000−22000
χ402-22-222-2-2020-20-2022-22-200−i2−i2i2i2000000−2i2i00−i2i2−2i2i−i2i2−i2i20022−2−200000000002−2000
χ412-22-222-2-2020-20-202-22-2200i2i2−i2−i20000002i−2i00i2−i2−2i2i−i2i2−i2i200−2−22200000000002−2000
χ422-22-222-2-2020-20-202-22-2200i2i2−i2−i2000000−2i2i00i2−i22i−2i−i2i2−i2i20022−2−20000000000−22000
χ432-22-222-2-2020-20-202-22-2200−i2−i2i2i20000002i−2i00−i2i2−2i2ii2−i2i2−i20022−2−20000000000−22000
χ442-22-222-2-2020-20-202-22-2200−i2−i2i2i2000000−2i2i00−i2i22i−2ii2−i2i2−i200−2−22200000000002−2000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-404040-40-400000000000000000000000022−22−2222000000000000000000000
χ47444-4-4-44-404040-40-4000000000000000000000000−222222−22000000000000000000000
χ48444-4-4-44-40-40-404044i−4i−4i4i000000000000000000000000000000000000000000000
χ49444-4-4-44-40-40-40404−4i4i4i−4i000000000000000000000000000000000000000000000
χ5044-444-4-4-44040-40-4000000000004-40000000000000000000000000000000000000
χ5144-444-4-4-44040-40-400000000000-440000000000000000000000000000000000000
χ5244-444-4-4-4-40-4040400000000000000000000000000000000000000000002i2−2i200000
χ5344-444-4-4-4-40-404040000000000000000000000000000000000000000000−2i22i200000
χ5444-4-4-44-440000000000000022−2222−220000000000000000002i2−2i22i−2i2i−2i000000000000000
χ5544-4-4-44-440000000000000022−2222−22000000000000000000−2i22i2−2i2i−2i2i000000000000000
χ5644-4-4-44-4400000000000000−2222−22220000000000000000002i2−2i2−2i2i−2i2i000000000000000
χ5744-4-4-44-4400000000000000−2222−2222000000000000000000−2i22i22i−2i2i−2i000000000000000
χ584-444-4-4-4444-4-444-4-400004-40000000000000000000000000000000000000000000
χ594-44-444-4-40-404040-40000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ604-44-444-4-40-404040-4000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ614-4-44-444-440-40-40400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-44-444-440-40-4040000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-44-444-4-404040-400000004i−4i−4i4i000000000000000000000000000000000000000
χ644-4-44-444-4-404040-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

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