Finite Group Databasebeta

← Group #10592524

Character table — Group #10592524

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112222222222222222222444444444444444444444444444488888888888888888363636367272
order1223333446666121212121212121224446666121212121212121212121212121212121212121266668121212122424242424242424222448
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ311111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1
χ6111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ7111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-11
χ8111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1111-1
χ92222222-2-22222-2-2-2-2-2-2-2-200002222-2-2-2-20000000000000000000000000000000002-20000
χ102222222-2-22222-2-2-2-2-2-2-2-200002222-2-2-2-2000000000000000000000000000000000-220000
χ112222-1-1-1222-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-1000000
χ122222-1-1-1222-1-1-122-1-1-1-1-1-122-2-22-1-1-12-1-1-1-2-2-2-21111111111112-1-1-1-22-1-1-1-2-2111111000000
χ132222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2111-2-2111-2-2111111000000
χ142222-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-2111111111111-21112-211122-1-1-1-1-1-1000000
χ15222-12-1-122-12-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1000000
χ16222-12-1-122-12-1-1-1-122-1-1-1-122-2-2-12-1-1-12-1-11111-2-2-2-211111111-12-1-1-2-12-1-111-2-21111000000
χ17222-12-1-122-12-1-1-1-122-1-1-1-1-2-222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11-211-21-21111-2-21111000000
χ18222-12-1-122-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-2111111111-21121-211-1-122-1-1-1-1000000
χ19222-1-12-122-1-12-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-12-1-12-1-1-1-1-122-1-1000000
χ20222-1-12-122-1-12-1-1-1-1-122-1-122-2-2-1-12-1-1-12-111111111-2-2-2-21111-1-12-1-2-1-12-11111-2-211000000
χ21222-1-12-122-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111-21-211-211111-2-211000000
χ22222-1-12-122-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-2111111-21211-21-1-1-1-122-1-1000000
χ23222-1-1-1222-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122000000
χ24222-1-1-1222-1-1-12-1-1-1-1-1-12222-2-2-1-1-12-1-1-12111111111111-2-2-2-2-1-1-12-2-1-1-12111111-2-2000000
χ25222-1-1-1222-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111-2-2111-2111111-2-2000000
χ26222-1-1-1222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-2111-22111-2-1-1-1-1-1-122000000
χ2722-222222-22222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000002-200
χ2822-222222-22222222222220000-2-2-2-2-2-2-2-200000000000000000000000000000000000-2200
χ2922-22222-222222-2-2-2-2-2-2-2-22-200-2-2-2-22222000000000000000022220-2-2-2-200000000000000
χ3022-22222-222222-2-2-2-2-2-2-2-2-2200-2-2-2-222220000000000000000-2-2-2-20222200000000000000
χ3122-22-1-1-1-222-1-1-1-2-21111112-200-21112-1-1-1000033−3−333−3−333−3−32-1-1-10-2111003−33−33−3000000
χ3222-22-1-1-1-222-1-1-1-2-21111112-200-21112-1-1-10000−3−333−3−333−3−3332-1-1-10-211100−33−33−33000000
χ3322-22-1-1-1-222-1-1-1-2-2111111-2200-21112-1-1-1000033−3−333−3−333−3−3-211102-1-1-100−33−33−33000000
χ3422-22-1-1-1-222-1-1-1-2-2111111-2200-21112-1-1-10000−3−333−3−333−3−333-211102-1-1-1003−33−33−3000000
χ3522-2-12-1-1-22-12-1-111-2-211112-2001-211-12-1-133−3−3000033−3−3−3−333-12-1-101-2113−3003−3−33000000
χ3622-2-12-1-1-22-12-1-111-2-211112-2001-211-12-1-1−3−3330000−3−33333−3−3-12-1-101-211−3300−333−3000000
χ3722-2-12-1-1-22-12-1-111-2-21111-22001-211-12-1-133−3−3000033−3−3−3−3331-2110-12-1-1−3300−333−3000000
χ3822-2-12-1-1-22-12-1-111-2-21111-22001-211-12-1-1−3−3330000−3−33333−3−31-2110-12-1-13−3003−3−33000000
χ3922-2-1-12-1-22-1-12-11111-2-2112-20011-21-1-12-133−3−3−3−333000033−3−3-1-12-1011-213−3−33003−3000000
χ4022-2-1-12-1-22-1-12-11111-2-2112-20011-21-1-12-1−3−33333−3−30000−3−333-1-12-1011-21−333−300−33000000
χ4122-2-1-12-1-22-1-12-11111-2-211-220011-21-1-12-133−3−3−3−333000033−3−311-210-1-12-1−333−300−33000000
χ4222-2-1-12-1-22-1-12-11111-2-211-220011-21-1-12-1−3−33333−3−30000−3−33311-210-1-12-13−3−33003−3000000
χ4322-2-1-1-12-22-1-1-12111111-2-22-200111-2-1-1-1233−3−333−3−3−3−3330000-1-1-120111-23−33−3−3300000000
χ4422-2-1-1-12-22-1-1-12111111-2-22-200111-2-1-1-12−3−333−3−33333−3−30000-1-1-120111-2−33−333−300000000
χ4522-2-1-1-12-22-1-1-12111111-2-2-2200111-2-1-1-1233−3−333−3−3−3−3330000111-20-1-1-12−33−333−300000000
χ4622-2-1-1-12-22-1-1-12111111-2-2-2200111-2-1-1-12−3−333−3−33333−3−30000111-20-1-1-123−33−3−3300000000
χ474444-2-2-2-4-44-2-2-2-4-422222200004-2-2-2-4222000000000000000000000000000000000000000
χ48444-24-2-2-4-4-24-2-222-4-422220000-24-2-22-422000000000000000000000000000000000000000
χ49444-2-24-2-4-4-2-24-22222-4-4220000-2-24-222-42000000000000000000000000000000000000000
χ50444-2-2-24-4-4-2-2-24222222-4-40000-2-2-24222-4000000000000000000000000000000000000000
χ5144-44-2-2-24-44-2-2-244-2-2-2-2-2-20000-4222-4222000000000000000000000000000000000000000
χ5244-4-24-2-24-4-24-2-2-2-244-2-2-2-200002-4222-422000000000000000000000000000000000000000
χ5344-4-2-24-24-4-2-24-2-2-2-2-244-2-2000022-4222-42000000000000000000000000000000000000000
χ5444-4-2-2-244-4-2-2-24-2-2-2-2-2-2440000222-4222-4000000000000000000000000000000000000000
χ554-40444400-4-4-4-400000000002i−2i000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000
χ564-40444400-4-4-4-40000000000−2i2i00000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000
χ574-404-2-2-200-42220023−2323−2323−23002i−2i000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000
χ584-404-2-2-200-42220023−2323−2323−2300−2i2i00000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000
χ594-404-2-2-200-422200−2323−2323−2323002i−2i000000002i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000
χ604-404-2-2-200-422200−2323−2323−232300−2i2i00000000−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000
χ614-40-24-2-2002-42223−230023−23−2323002i−2i00000000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ112i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000
χ624-40-24-2-2002-42223−230023−23−232300−2i2i00000000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000
χ634-40-24-2-2002-422−232300−232323−23002i−2i00000000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ112i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000
χ644-40-24-2-2002-422−232300−232323−2300−2i2i00000000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000
χ654-40-2-24-20022-4223−23−23230023−23002i−2i00000000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ112i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000000
χ664-40-2-24-20022-4223−23−23230023−2300−2i2i00000000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000000
χ674-40-2-24-20022-42−232323−2300−2323002i−2i00000000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ112i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000000
χ684-40-2-24-20022-42−232323−2300−232300−2i2i00000000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000000
χ694-40-2-2-2400222-423−2323−23−232300002i−2i00000000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ112i−2i2i−2i00000000000000000000000
χ704-40-2-2-2400222-423−2323−23−23230000−2i2i00000000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−2i2i−2i2i00000000000000000000000
χ714-40-2-2-2400222-4−2323−232323−2300002i−2i00000000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ112i−2i2i−2i00000000000000000000000
χ724-40-2-2-2400222-4−2323−232323−230000−2i2i00000000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−2i2i−2i2i00000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.