Finite Group Databasebeta

← Group #10590519

Character table — Group #10590519

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order122233446666663446661212121212121212441212121212121212121212122446688121212122424242441212884
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-1111-1-1-1-11111111111-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-111-1
χ6111111111111111-1-1111-1-1-1-11111111111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-11
χ8111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1
χ9222222-2-22222222002220000-2-2-2-222222200-2-20000-200-2-20000000000000000
χ10222222-2-22222222002220000-2-2-2-2-2-2-2-2-2-200-2-20000200220000000000000000
χ1122222-12222-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1222-1-100-1-1-1-10000000000
χ1222222-12222-1-1-12-122-1-1-1-1-1-1-1-1-122-2-2111122-1-1-1-1-1-1-2-2-2110011110000000000
χ1322222-12222-1-1-12-1-2-2-1-1-11111-1-12222-1-1-1-1-2-2-1-111112-2-2-1-10011110000000000
χ1422222-12222-1-1-12-1-2-2-1-1-11111-1-122-2-21111-2-2-1-11111-2221100-1-1-1-10000000000
χ1522222-1-2-222-1-1-12-100-1-1-1−i3−i3i3i311-2-222-1-1-1-10011−i3−i3i3i3-2001100−i3−i3i3i30000000000
χ1622222-1-2-222-1-1-12-100-1-1-1−i3−i3i3i311-2-2-2-211110011−i3−i3i3i3200-1-100i3i3−i3−i30000000000
χ1722222-1-2-222-1-1-12-100-1-1-1i3i3−i3−i311-2-222-1-1-1-10011i3i3−i3−i3-2001100i3i3−i3−i30000000000
χ1822222-1-2-222-1-1-12-100-1-1-1i3i3−i3−i311-2-2-2-211110011i3i3−i3−i3200-1-100−i3−i3i3i30000000000
χ192222-1222-1-1222-1-122-1-1-1222222-1-1000000-1-1-1-1-1-1-1-100000220000-1-1-1-12-1-1000
χ202222-1222-1-1222-1-122-1-1-1222222-1-1000000-1-1-1-1-1-1-1-100000-2-200001111-211000
χ212222-1222-1-1222-1-1-2-2-1-1-1-2-2-2-222-1-100000011-1-1111100000220000-1-1-1-1-211000
χ222222-1222-1-1222-1-1-2-2-1-1-1-2-2-2-222-1-100000011-1-1111100000-2-2000011112-1-1000
χ232-22-2222-2-2-2-22-22200-22-200002-2-22000000002-2000002i−2i00002i−2i2i−2i0000000000
χ242-22-2222-2-2-2-22-22200-22-200002-2-22000000002-200000−2i2i0000−2i2i−2i2i0000000000
χ252-22-222-22-2-2-22-2222i−2i-22-22i−2i2i−2i-222-20000002i−2i-222i−2i2i−2i000000000000000000000
χ262-22-222-22-2-2-22-222−2i2i-22-2−2i2i−2i2i-222-2000000−2i2i-22−2i2i−2i2i000000000000000000000
χ272-22-22-12-2-2-21-112-1001-113−3−33-11-2200−i3−i3i3i300-113−3−3302i−2i−i3i300−ii−ii0000000000
χ282-22-22-12-2-2-21-112-1001-113−3−33-11-2200i3i3−i3−i300-113−3−330−2i2ii3−i300i−ii−i0000000000
χ292-22-22-12-2-2-21-112-1001-11−333−3-11-2200−i3−i3i3i300-11−333−30−2i2i−i3i300i−ii−i0000000000
χ302-22-22-12-2-2-21-112-1001-11−333−3-11-2200i3i3−i3−i300-11−333−302i−2ii3−i300−ii−ii0000000000
χ312-22-22-1-22-2-21-112-12i−2i1-11−ii−ii1-12-200−i3−i3i3i32i−2i1-1−ii−ii000i3−i3003−3−330000000000
χ322-22-22-1-22-2-21-112-12i−2i1-11−ii−ii1-12-200i3i3−i3−i32i−2i1-1−ii−ii000−i3i300−333−30000000000
χ332-22-22-1-22-2-21-112-1−2i2i1-11i−ii−i1-12-200−i3−i3i3i3−2i2i1-1i−ii−i000i3−i300−333−30000000000
χ342-22-22-1-22-2-21-112-1−2i2i1-11i−ii−i1-12-200i3i3−i3−i3−2i2i1-1i−ii−i000−i3i3003−3−330000000000
χ352-22-2-12-2211-22-2-1-12i−2i1-112i−2i2i−2i-22-11000000−ii1-1−ii−ii0000000000033−3−30−i3i3000
χ362-22-2-12-2211-22-2-1-12i−2i1-112i−2i2i−2i-22-11000000−ii1-1−ii−ii00000000000−3−3330i3−i3000
χ372-22-2-12-2211-22-2-1-1−2i2i1-11−2i2i−2i2i-22-11000000i−i1-1i−ii−i0000000000033−3−30i3−i3000
χ382-22-2-12-2211-22-2-1-1−2i2i1-11−2i2i−2i2i-22-11000000i−i1-1i−ii−i00000000000−3−3330−i3i3000
χ392-2-2222002-2-2-22-22002-2-2000000002i−2i2i−2i2i−2i00000000000002−200002−22−2000−i2i20
χ402-2-2222002-2-2-22-22002-2-2000000002i−2i2i−2i2i−2i0000000000000−220000−22−22000i2−i20
χ412-2-2222002-2-2-22-22002-2-200000000−2i2i−2i2i−2i2i00000000000002−200002−22−2000i2−i20
χ422-2-2222002-2-2-22-22002-2-200000000−2i2i−2i2i−2i2i0000000000000−220000−22−22000−i2i20
χ434444-24-4-4-2-2444-2-200-2-2-20000-4-42200000000220000000000000000000000000
χ444444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000
χ454444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-20000002211-1-1-1-1000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-2100111−2i3−2i32i32i3222200000000-1-1i3i3−i3−i3000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-21001112i32i3−2i3−2i3222200000000-1-1−i3−i3i3i3000000000000000000000
χ4844-4-44400-444-4-4-4400-4-440000000000000000000000000000000000000000000
χ4944-4-44-200-44-222-4-20022-2000000000023−23−232300000000000000000000000000000
χ5044-4-44-200-44-222-4-20022-20000000000−232323−2300000000000000000000000000000
χ5144-4-4-24002-24-4-42-20022-20000000000000000000000000000000006−6−66000000
χ5244-4-4-24002-24-4-42-20022-2000000000000000000000000000000000−666−6000000
χ534-44-4-244-422-44-4-2-2002-2200004-42-200000000-220000000000000000000000000
χ544-44-4-2-24-4222-22-2100-11-123−23−2323-222-2000000001-1−333−3000000000000000000000
χ554-44-4-2-24-4222-22-2100-11-1−232323−23-222-2000000001-13−3−33000000000000000000000
χ564-44-4-2-2-44222-22-214i−4i-11-1−2i2i−2i2i2-2-22000000−2i2i-11i−ii−i000000000000000000000
χ574-44-4-2-2-44222-22-21−4i4i-11-12i−2i2i−2i2-2-220000002i−2i-11−ii−ii000000000000000000000
χ584-4-444-2004-422-2-4-200-222000000004i−4i−2i2i−2i2i00000000000000000000000000000
χ594-4-444-2004-422-2-4-200-22200000000−4i4i2i−2i2i−2i00000000000000000000000000000
χ604-4-44-2400-22-4-442-200-22200000000000000000000000000022−220000−22−22000000
χ614-4-44-2400-22-4-442-200-222000000000000000000000000000−222200002−22−2000000
χ6288-8-8-4-4004-4-4444200-2-220000000000000000000000000000000000000000000
χ638-8-88-4-400-4444-442002-2-20000000000000000000000000000000000000000000

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