Finite Group Databasebeta

← Group #10590709

Character table — Group #10590709

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672
order122233446666661212121236668812121212121224242424242424242424242424242424442446688121224242424412121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111-1-111-1
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11-1-111-1-11
χ71111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-1-1-11
χ81111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1
χ9222222-2-2222222-2-2-2-2222200-2-2-2-2-2-2000000000000000022-200-2-20022000000000000
χ10222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-22002200-2-2000000000000
χ1122222-122-1-12-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122200-1-122-1-1-1-1-1-100000000
χ1222222-122-1-12-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-20011-2-211111100000000
χ1322222-122-1-12-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122200-1-1-2-2-1-1111100000000
χ1422222-122-1-12-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2-200112211-1-1-1-100000000
χ1522222-1-2-2-1-12-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−322-2001100-1-133−3−300000000
χ1622222-1-2-2-1-12-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-2200-1-10011−3−33300000000
χ1722222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−3333322-2001100-1-1−3−33300000000
χ1822222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-2200-1-1001133−3−300000000
χ192222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10002200000000002-1-1-1-1000
χ202222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000000000-21111000
χ212222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000220000000000-2-1-111000
χ222222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000-2-20000000000211-1-1000
χ232-22-2222-2-2-222-2-222-2-22-2-2200-2-2-222200000000000000000002i−2i000000000002i−2i00000
χ242-22-2222-2-2-222-2-222-2-22-2-2200-2-2-22220000000000000000000−2i2i00000000000−2i2i00000
χ252-22-222-22-2-222-2-2-2-2222-2-2200222-2-2-20000000000000000000000000000000000002i−2i0
χ262-22-222-22-2-222-2-2-2-2222-2-2200222-2-2-2000000000000000000000000000000000000−2i2i0
χ272-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30002i−2i00000000000−ii3−3000
χ282-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000−2i2i00000000000i−i−33000
χ292-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30002i−2i00000000000−ii−33000
χ302-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000−2i2i00000000000i−i3−3000
χ312-2-2222002-2-2-22-2000022-2-2−i2i2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i000002−22i−2i2−22−200000000
χ322-2-2222002-2-2-22-2000022-2-2−i2i2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−2i2i00000−22−2i2i−22−2200000000
χ332-2-2222002-2-2-22-2000022-2-2i2−i2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i00000−222i−2i−22−2200000000
χ342-2-2222002-2-2-22-2000022-2-2i2−i2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i2i000002−2−2i2i2−22−200000000
χ352-2-222-100-11-212-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232i−2i000−i3i32−2−iiζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ362-2-222-100-11-212-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−2i2i000i3−i3−22i−i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ372-2-222-100-11-212-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232i−2i000−i3i3−22−ii−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ382-2-222-100-11-212-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−2i2i000i3−i32−2i−iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ392-2-222-100-11-212-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72i−2i000i3−i32−2−iiζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ402-2-222-100-11-212-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−2i2i000−i3i3−22i−i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ412-2-222-100-11-212-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72i−2i000i3−i3−22−ii−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ422-2-222-100-11-212-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−2i2i000−i3i32−2i−iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ434444-24-4-444-24-2-2-4-4-4-4-2-2-2-200222222000000000000000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-2-2-2-2111144-211-211-2-2-2-2-2-2-2-21111111100000000000000000000000
χ454444-2-244-2-2-2-2-2-2-2-2-2-21111-4-4-211-21122222222-1-1-1-1-1-1-1-100000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-222221111002-1-12-1-12323−23−230000−3−3−3−3333300000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-222221111002-1-12-1-1−23−23232300003333−3−3−3−300000000000000000000000
χ4844-4-44400-44-4-4-4400004-44-400000000000000000000000000000000000000000000000
χ4944-4-44-2002-2-42-4423−23−2323-22-22000−2323023−23000000000000000000000000000000000000000
χ5044-4-44-2002-2-42-44−232323−23-22-2200023−230−2323000000000000000000000000000000000000000
χ5144-4-4-2400-442-42-20000-22-220000000000006−6−666−6−666−6−6600000000000000000000000
χ5244-4-4-2400-442-42-20000-22-22000000000000−666−6−666−6−666−600000000000000000000000
χ5344-4-4-2-2002-2222-223−23−23231-11-10003−30−3300006−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ2300000000000000000000000
χ5444-4-4-2-2002-2222-223−23−23231-11-10003−30−330000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ2300000000000000000000000
χ5544-4-4-2-2002-2222-2−232323−231-11-1000−3303−300006−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ2300000000000000000000000
χ5644-4-4-2-2002-2222-2−232323−231-11-1000−3303−30000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ2300000000000000000000000
χ574-44-44-24-4224-2-4-4-2-222-222-200-4224-2-2000000000000000000000000000000000000000
χ584-44-44-2-44224-2-4-422-2-2-222-2004-2-2-422000000000000000000000000000000000000000
χ594-44-4-24-44-4-4-2422-4-444-222-200-2-2-2222000000000000000000000000000000000000000
χ604-44-4-2-24-422-2-222-2-2221-1-11002-1-1-2110000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i300000000000000000000000
χ614-44-4-2-24-422-2-222-2-2221-1-11002-1-1-21100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i300000000000000000000000
χ624-44-4-2-2-4422-2-22222-2-21-1-1100-2112-1-1000000003i3i−3i−3i−3i−3i3i3i00000000000000000000000
χ634-44-4-2-2-4422-2-22222-2-21-1-1100-2112-1-100000000−3i−3i3i3i3i3i−3i−3i00000000000000000000000
χ644-4-44-24004-42-4-220000-2-222−2i22i2000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000
χ654-4-44-24004-42-4-220000-2-2222i2−2i20000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000
χ664-4-44-2-200-2222-2223−2323−2311-1-1−2i22i20−330−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000000000000000000
χ674-4-44-2-200-2222-2223−2323−2311-1-12i2−2i20−330−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000000000000000000
χ684-4-44-2-200-2222-22−2323−232311-1-1−2i22i203−303−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000000000000000000
χ694-4-44-2-200-2222-22−2323−232311-1-12i2−2i203−303−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.