Finite Group Databasebeta

← Group #13156749

Character table — Group #13156749

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order12222222333666666666666666666666333666666666666666666666444436666666444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222224444666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ911-1-111-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-11-11-1ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1i−ii−i11-1-1ii−i−iii−i−iii−i−i
χ1011-1-111-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-11-1-11ii−i−i1111-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111i−i−ii-1-111ii−i−i−i−iii−i−iii
χ1111-1-111-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-1-111-1ii−i−i-1-1-1-111111111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111−iii−i-1-111−i−iiiii−i−i−i−iii
χ1211-1-111-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-1-11-11ii−i−i-1-1-1-11111-1-1-1-11111ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−ii−ii11-1-1−i−iii−i−iiiii−i−i
χ1311-1-111-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-11-11-1−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−ii−ii11-1-1−i−iii−i−iii−i−iii
χ1411-1-111-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-11-1-11−i−iii1111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−iii−i-1-111−i−iiiii−i−iii−i−i
χ1511-1-111-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-1-111-1−i−iii-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111i−i−ii-1-111ii−i−i−i−iiiii−i−i
χ1611-1-111-1-11111111-1-1-1-1-11-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-1-11-11−i−iii-1-1-1-11111-1-1-1-11111−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1i−ii−i11-1-1ii−i−iii−i−i−i−iii
χ172222222222-1222222222-1-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-12222000022-1-122-1-122-1-122-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1000000000000
χ182222222222-1222222222-1-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-122-2-2000022-1-122-1-1-2-211-2-211000000000000-1-1-1-1-1-1-1-111111111-2-2-2-200001111000000000000
χ192222222222-1222222222-1-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-2-2220000-2-211-2-21122-1-122-1-100000000000011111111-1-1-1-1-1-1-1-1-2-2-2-200001111000000000000
χ202222222222-1222222222-1-1-1-1-1222-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-2-2-2-20000-2-211-2-211-2-211-2-211000000000000111111111111111122220000-1-1-1-1000000000000
χ21222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-12200-1-1-1-1-1-122-1-122000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022000000-1-1-1-100000000
χ22222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-200-1-1-1-111-2-211-2-2000000002222-1-1-1-1-1-1-1-111111111000000000000-2-2000000111100000000
χ23222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-122001111-1-122-1-12200000000-2-2-2-211111111-1-1-1-1-1-1-1-1000000000000-2-2000000111100000000
χ24222222222-1222-1-1222-1-1222222-1-122-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-200111111-2-211-2-200000000-2-2-2-2111111111111111100000000000022000000-1-1-1-100000000
χ2522222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-10022222200000000-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000002200000000-1-1-1-10000
χ2622222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-100-2-222220000000011-2-211-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000011111111000000-2-20000000011110000
χ2722222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-10022-2-2-2-200000000-1-122-1-12211111111111100000000-1-1-1-1-1-1-1-1000000-2-20000000011110000
χ2822222222-122-1-122-1-1-12222222-122222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-2-2-20000000011-2-211-2-211111111111100000000111111110000002200000000-1-1-1-10000
χ292222-2-2-2-22222-22-222-222222-2-2-2-2-2-2-2-2-22222-2-22-22-222-222-2-222-2-2-2-2-2000022-2-222-2-200000000000000000000000000000000000000000000000000002-22-200002-22-2000000000000
χ302222-2-2-2-22222-22-222-222222-2-2-2-2-2-2-2-2-22222-2-22-22-222-222-2-222-2-2-2-2-2000022-2-222-2-20000000000000000000000000000000000000000000000000000-22-220000-22-22000000000000
χ312222-2-2-2-222-12-22-222-222-1-1-111-2-2-211-2-22-1-12-2-2-11-1122-2-1-111-1-11111-20000-1-111-1-11100000000003−3003−3003−3003−300000000000033−3−333−3−333−3−333−3−32-22-20000-11-11000000000000
χ322222-2-2-2-222-12-22-222-222-1-1-111-2-2-211-2-22-1-12-2-2-11-1122-2-1-111-1-11111-20000-1-111-1-11100000000003−3003−300−3300−3300000000000033−3−333−3−3−3−333−3−333-22-2200001-11-1000000000000
χ332222-2-2-2-222-12-22-222-222-1-1-111-2-2-211-2-22-1-12-2-2-11-1122-2-1-111-1-11111-20000-1-111-1-1110000000000−3300−33003−3003−3000000000000−3−333−3−33333−3−333−3−3-22-2200001-11-1000000000000
χ342222-2-2-2-222-12-22-222-222-1-1-111-2-2-211-2-22-1-12-2-2-11-1122-2-1-111-1-11111-20000-1-111-1-1110000000000−3300−3300−3300−33000000000000−3−333−3−333−3−333−3−3332-22-20000-11-11000000000000
χ3522-2-222-2-222-12222-2-2-2-2-2-1111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-111112-22-2000022-1-1-2-21122-1-1-2-211000000000000-1-1-1-11111-1-1-1-1111122-2-20000-1-111000000000000
χ3622-2-222-2-222-12222-2-2-2-2-2-1111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-111112-2-22000022-1-1-2-211-2-21122-1-1000000000000-1-1-1-111111111-1-1-1-1-2-222000011-1-1000000000000
χ3722-2-222-2-222-12222-2-2-2-2-2-1111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-11111-222-20000-2-21122-1-122-1-1-2-2110000000000001111-1-1-1-1-1-1-1-11111-2-222000011-1-1000000000000
χ3822-2-222-2-222-12222-2-2-2-2-2-1111122-2-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-11111-22-220000-2-21122-1-1-2-21122-1-10000000000001111-1-1-1-11111-1-1-1-122-2-20000-1-111000000000000
χ3922-2-222-2-22-1222-1-1-2-2-2112-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-112i2i−2i−2i-1-1-1-111112-200−i−iii-1-12211-2-2000000002i2i−2i−2i−i−i−i−iiiii-1-1-1-111110000000000002i−2i000000−i−iii00000000
χ4022-2-222-2-22-1222-1-1-2-2-2112-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-112i2i−2i−2i-1-1-1-11111-2200−i−iii11-2-2-1-122000000002i2i−2i−2i−i−i−i−iiiii1111-1-1-1-1000000000000−2i2i000000ii−i−i00000000
χ4122-2-222-2-22-1222-1-1-2-2-2112-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-11−2i−2i2i2i-1-1-1-111112-200ii−i−i-1-12211-2-200000000−2i−2i2i2iiiii−i−i−i−i-1-1-1-11111000000000000−2i2i000000ii−i−i00000000
χ4222-2-222-2-22-1222-1-1-2-2-2112-2-2-2-22-11221-2-12-1-1-1-122-1-1111-2-2-2-211112-11−2i−2i2i2i-1-1-1-11111-2200ii−i−i11-2-2-1-12200000000−2i−2i2i2iiiii−i−i−i−i1111-1-1-1-10000000000002i−2i000000−i−iii00000000
χ4322-2-222-2-2-122-1-122111-2-22-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-1212i2i−2i−2i-1-1-1-11111002-22i2i−2i−2i00000000-1-12211-2-2−i−iii−i−i−i−iiiii00000000-1-1-1-111110000002i−2i00000000−i−iii0000
χ4422-2-222-2-2-122-1-122111-2-22-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-1212i2i−2i−2i-1-1-1-1111100-222i2i−2i−2i0000000011-2-2-1-122−i−iii−i−i−i−iiiii000000001111-1-1-1-1000000−2i2i00000000ii−i−i0000
χ4522-2-222-2-2-122-1-122111-2-22-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-121−2i−2i2i2i-1-1-1-11111002-2−2i−2i2i2i00000000-1-12211-2-2ii−i−iiiii−i−i−i−i00000000-1-1-1-11111000000−2i2i00000000ii−i−i0000
χ4622-2-222-2-2-122-1-122111-2-22-2-2-2-2-12-222-21-1-12-1-1-1-1-1221111111-2-2-2-2-121−2i−2i2i2i-1-1-1-1111100-22−2i−2i2i2i0000000011-2-2-1-122ii−i−iiiii−i−i−i−i000000001111-1-1-1-10000002i−2i00000000−i−iii0000
χ4722-2-2-2-2222222-22-2-2-22-2-22-2-222-2-22-2-2222222-2-22-22-2-2-22-2-222-2-222-2-22000022-2-2-2-22200000000000000000000000000000000000000000000000000002-2-2200002-2-22000000000000
χ4822-2-2-2-2222222-22-2-2-22-2-22-2-222-2-22-2-2222222-2-22-22-2-2-22-2-222-2-222-2-22000022-2-2-2-2220000000000000000000000000000000000000000000000000000-222-20000-222-2000000000000
χ4922-2-2-2-22222-12-22-2-2-22-2-2-111-1-1-2-2211222-1-12-2-2-11-11-2-2211-1-111-1-11120000-1-11111-1-100000000003−300−33003−300−3300000000000033−3−3−3−33333−3−3−3−3332-2-220000-111-1000000000000
χ5022-2-2-2-22222-12-22-2-2-22-2-2-111-1-1-2-2211222-1-12-2-2-11-11-2-2211-1-111-1-11120000-1-11111-1-100000000003−300−3300−33003−300000000000033−3−3−3−333−3−33333−3−3-222-200001-1-11000000000000
χ5122-2-2-2-22222-12-22-2-2-22-2-2-111-1-1-2-2211222-1-12-2-2-11-11-2-2211-1-111-1-11120000-1-11111-1-10000000000−33003−3003−300−33000000000000−3−33333−3−333−3−3−3−333-222-200001-1-11000000000000
χ5222-2-2-2-22222-12-22-2-2-22-2-2-111-1-1-2-2211222-1-12-2-2-11-11-2-2211-1-111-1-11120000-1-11111-1-10000000000−33003−300−33003−3000000000000−3−33333−3−3−3−33333−3−32-2-220000-111-1000000000000
χ532-22-22-22-2222-22-2-22-222-2-22-22-2-22-22-22-2222-22-2-22-2-22-222-22-22-22-2-22-200002-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ542-22-22-22-2222-22-2-22-222-2-22-22-2-22-22-22-2222-22-2-22-2-22-222-22-22-22-2-22-200002-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ552-22-2-22-22222-2-2-222-2-22-2-22-2-222-22-22-22222-2-22-2-2-222-2-22-2-222-2-222-222-22-22-2-222-2-2200002-22-200000000000000002-22-222-2-222-2-20000000000000000000000000000000000000000
χ562-22-2-22-22222-2-2-222-2-22-2-22-2-222-22-22-22222-2-22-2-2-222-2-22-2-222-2-222-22-22-222-2-222-2-220000-22-220000000000000000-22-22-2-222-2-2220000000000000000000000000000000000000000
χ572-22-2-22-222-12-2-21-12-2-2-11-22-2-2221-1-2212-12-111-1-2-21-1-1112-2-22-111-121-12-22-2-111-1-111-10000-11-113−3003−300000000002-22-2-1-111-1-1113−33−33−33−3000000000000000000003−33−300000000
χ582-22-2-22-222-12-2-21-12-2-2-11-22-2-2221-1-2212-12-111-1-2-21-1-1112-2-22-111-121-12-22-2-111-1-111-10000-11-11−3300−3300000000002-22-2-1-111-1-111−33−33−33−3300000000000000000000−33−3300000000
χ592-22-2-22-222-12-2-21-12-2-2-11-22-2-2221-1-2212-12-111-1-2-21-1-1112-2-22-111-121-1-22-22-111-1-111-100001-11-13−3003−30000000000-22-2211-1-111-1-13−33−33−33−300000000000000000000−33−3300000000
χ602-22-2-22-222-12-2-21-12-2-2-11-22-2-2221-1-2212-12-111-1-2-21-1-1112-2-22-111-121-1-22-22-111-1-111-100001-11-1−3300−330000000000-22-2211-1-111-1-1−33−33−33−33000000000000000000003−33−300000000
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χ1438-8-888-8-88-4-4-44-4444-444-444-44-44-4-4-444-4222-22-2-22-2-2-22-2-22-22-22-22-2220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-888-8-4-4-4444-44-4-44-444-4-44-4444-4-44222-2-22-2-2-22-222-222-2-222-22-2-20000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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