Finite Group Databasebeta

← Group #13156757

Character table — Group #13156757

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212122222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
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
χ911-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-11-1i−iii−i−i1111-1-1-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−ii−i1-1ii−i−i11-1-1ii−i−i11-1-1
χ1011-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-11-1−iiii−i−i1111-1-1-1-1ii−i−i−i−iii−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−iiii−i-11ii−i−i-1-111−i−iii-1-111
χ1111-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1-11i−iii−i−i-1-1-1-11111ii−i−iii−i−iii−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−ii1-1−i−iii11-1-1−i−iii-1-111
χ1211-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1-11−iiii−i−i-1-1-1-11111ii−i−i−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i−ii-11−i−iii-1-111ii−i−i11-1-1
χ1311-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-11-1i−i−i−iii1111-1-1-1-1−i−iiiii−i−iii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iii−i−i−ii-11−i−iii-1-111ii−i−i-1-111
χ1411-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-11-1−ii−i−iii1111-1-1-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii−ii1-1−i−iii11-1-1−i−iii11-1-1
χ1511-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1-11i−i−i−iii-1-1-1-11111−i−iiiii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iiii−i-11ii−i−i-1-111−i−iii11-1-1
χ1611-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1-11−ii−i−iii-1-1-1-11111−i−iii−i−iii−i−iii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiii−i−ii−i1-1ii−i−i11-1-1ii−i−i-1-111
χ172222222222-12222-1-1222222-1-12-1-122-122-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-12200-1-1-1-122-1-122-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ182222222222-12222-1-1222222-1-12-1-122-122-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-200-1-1-1-1-2-211-2-211222200000000-1-1-1-1-1-1-1-111111111000000000000-2-2001111000000000000
χ192222222222-12222-1-1222222-1-12-1-122-122-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-12200111122-1-122-1-1-2-2-2-20000000011111111-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ202222222222-12222-1-1222222-1-12-1-122-122-1-1222-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2001111-2-211-2-211-2-2-2-20000000011111111111111110000000000002200-1-1-1-1000000000000
χ21222222222-1222-1-122222-1-1-122222-1-122-12-1-1-1-122-1-1-1-1-1-12222-1-1-12-1-12222-1-1-1-1-1-1-1-10022222200000000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ22222222222-1222-1-122222-1-1-122222-1-122-12-1-1-1-122-1-1-1-1-1-12222-1-1-12-1-12222-1-1-1-1-1-1-1-100-2-2222200000000-1-1-1-11111-2-2-2-2-1-1-1-1-1-1-1-10000000011111111000000-2-20000111100000000
χ23222222222-1222-1-122222-1-1-122222-1-122-12-1-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-10022-2-2-2-2000000001111-1-1-1-122221111111100000000-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ24222222222-1222-1-122222-1-1-122222-1-122-12-1-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-2-2-20000000011111111-2-2-2-2111111110000000011111111000000220000-1-1-1-100000000
χ2522222222-122-1-12222-1-1-122222-122222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-120000-1-1-1-1-1-1-1-122220000-1-122-1-12200002222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ2622222222-122-1-12222-1-1-122222-122222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-120000-1-1-1-1-1-1-1-122-2-20000-1-122-1-1220000-2-2-2-2111100000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ2722222222-122-1-12222-1-1-122222-122222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-120000-1-1-1-1-1-1-1-1-2-222000011-2-211-2-200002222-1-1-1-10000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ2822222222-122-1-12222-1-1-122222-122222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-120000-1-1-1-1-1-1-1-1-2-2-2-2000011-2-211-2-20000-2-2-2-211110000000011111111111111112222000000000000-1-1-1-10000
χ292222-2-2-2-22222-22-22-222-222-222-2-2-2-2-2-2-22222-2-22-22-2-222-222-2-222-2-2-2-2000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000002-22-2
χ302222-2-2-2-22222-22-22-222-222-222-2-2-2-2-2-2-22222-2-22-22-2-222-222-2-222-2-2-2-2000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000-22-22
χ3122-2-222-2-222-12222-1-1-2-2-2-2-2-2112-11-221-22-1-1222-1-1-1-1-1-2-2-21111111-1-212i2i−2i−2i-1-1-1-111112-200−i−iii22-1-1-2-2112i2i−2i−2i00000000−i−i−i−iiiii-1-1-1-111110000000000002i−2i00−i−iii000000000000
χ3222-2-222-2-222-12222-1-1-2-2-2-2-2-2112-11-221-22-1-1222-1-1-1-1-1-2-2-21111111-1-212i2i−2i−2i-1-1-1-11111-2200−i−iii-2-21122-1-12i2i−2i−2i00000000−i−i−i−iiiii1111-1-1-1-1000000000000−2i2i00ii−i−i000000000000
χ3322-2-222-2-222-12222-1-1-2-2-2-2-2-2112-11-221-22-1-1222-1-1-1-1-1-2-2-21111111-1-21−2i−2i2i2i-1-1-1-111112-200ii−i−i22-1-1-2-211−2i−2i2i2i00000000iiii−i−i−i−i-1-1-1-11111000000000000−2i2i00ii−i−i000000000000
χ3422-2-222-2-222-12222-1-1-2-2-2-2-2-2112-11-221-22-1-1222-1-1-1-1-1-2-2-21111111-1-21−2i−2i2i2i-1-1-1-11111-2200ii−i−i-2-21122-1-1−2i−2i2i2i00000000iiii−i−i−i−i1111-1-1-1-10000000000002i−2i00−i−iii000000000000
χ3522-2-222-2-22-1222-1-122-2-2-2111-2-222-21-1-2-2-12-1-1-1-122-1-1-1111-2-2-2-21112112i2i−2i−2i-1-1-1-11111002i−2i2i2i−2i−2i00000000−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−i−i−i−iiiii0000002-20000-1-11100000000
χ3622-2-222-2-22-1222-1-122-2-2-2111-2-222-21-1-2-2-12-1-1-1-122-1-1-1111-2-2-2-21112112i2i−2i−2i-1-1-1-1111100−2i2i2i2i−2i−2i00000000−i−iiiii−i−i−2i−2i2i2i−i−i−i−iiiii00000000iiii−i−i−i−i000000-22000011-1-100000000
χ3722-2-222-2-22-1222-1-122-2-2-2111-2-222-21-1-2-2-12-1-1-1-122-1-1-1111-2-2-2-2111211−2i−2i2i2i-1-1-1-11111002i−2i−2i−2i2i2i00000000ii−i−i−i−iii2i2i−2i−2iiiii−i−i−i−i00000000−i−i−i−iiiii000000-22000011-1-100000000
χ3822-2-222-2-22-1222-1-122-2-2-2111-2-222-21-1-2-2-12-1-1-1-122-1-1-1111-2-2-2-2111211−2i−2i2i2i-1-1-1-1111100−2i2i−2i−2i2i2i00000000ii−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i00000000iiii−i−i−i−i0000002-20000-1-11100000000
χ3922-2-222-2-2-122-1-12222111-2-2-2-2-2-12-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-20000-1-1-1-111112-22i−2i0000-1-12211-2-200002i2i−2i−2i−i−iii00000000-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i000000000000−i−iii0000
χ4022-2-222-2-2-122-1-12222111-2-2-2-2-2-12-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-20000-1-1-1-111112-2−2i2i0000-1-12211-2-20000−2i−2i2i2iii−i−i00000000-1-1-1-11111iiii−i−i−i−i−2i−2i2i2i000000000000ii−i−i0000
χ4122-2-222-2-2-122-1-12222111-2-2-2-2-2-12-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-20000-1-1-1-11111-222i−2i000011-2-2-1-12200002i2i−2i−2i−i−iii000000001111-1-1-1-1−i−i−i−iiiii−2i−2i2i2i000000000000ii−i−i0000
χ4222-2-222-2-2-122-1-12222111-2-2-2-2-2-12-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-20000-1-1-1-11111-22−2i2i000011-2-2-1-1220000−2i−2i2i2iii−i−i000000001111-1-1-1-1iiii−i−i−i−i2i2i−2i−2i000000000000−i−iii0000
χ4322-2-2-2-2222222-22-22-2-2-22-2-22-2-2-2-222-2222222-2-22-22-2-2-2-22-2-222-2-22-222000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000002-2-22
χ4422-2-2-2-2222222-22-22-2-2-22-2-22-2-2-2-222-2222222-2-22-22-2-2-2-22-2-222-2-22-222000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000-222-2
χ452-22-22-22-2222-2-2-22-2-22-222-222-222-2-2-22-2222-22-2-2-2-22-22-222-22-22-222-2-200002-22-22-22-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ462-22-22-22-2222-2-2-22-2-22-222-222-222-2-2-22-2222-22-2-2-2-22-22-222-22-22-222-2-200002-22-22-22-20000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ472-22-22-22-2-12211-22-2-2-11-12-222-2-12-2-2-221-1-121-1111-22-2-11-1-11-112-22-11-20000-11-11-11-1100000000−i3i300−i3i300000000003−33−300000000−i3−i3i3i3−i3−i3i3i333−3−333−3−32i−2i2i−2i000000000000−ii−ii0000
χ482-22-22-22-2-12211-22-2-2-11-12-222-2-12-2-2-221-1-121-1111-22-2-11-1-11-112-22-11-20000-11-11-11-1100000000−i3i300−i3i30000000000−33−3300000000−i3−i3i3i3−i3−i3i3i3−3−333−3−333−2i2i−2i2i000000000000i−ii−i0000
χ492-22-22-22-2-12211-22-2-2-11-12-222-2-12-2-2-221-1-121-1111-22-2-11-1-11-112-22-11-20000-11-11-11-1100000000i3−i300i3−i300000000003−33−300000000i3i3−i3−i3i3i3−i3−i333−3−333−3−3−2i2i−2i2i000000000000i−ii−i0000
χ502-22-22-22-2-12211-22-2-2-11-12-222-2-12-2-2-221-1-121-1111-22-2-11-1-11-112-22-11-20000-11-11-11-1100000000i3−i300i3−i30000000000−33−3300000000i3i3−i3−i3i3i3−i3−i3−3−333−3−3332i−2i2i−2i000000000000−ii−ii0000
χ512-22-2-22-22222-22-2-2-222-2-22-2-22-2-2-2222-22222-2-22-22-2-222-2-22-2-222-2-2-2222-22-22-2-222-2-2200002-22-2000000002-22-20000000022-2-222-2-20000000000000000000000000000000000000000
χ522-22-2-22-22222-22-2-2-222-2-22-2-22-2-2-2222-22222-2-22-22-2-222-2-22-2-222-2-2-222-22-222-2-222-2-220000-22-2200000000-22-2200000000-2-222-2-2220000000000000000000000000000000000000000
χ532-22-2-22-2222-1-22-2-21-12-2-22-2-2-11-21-122122-1-1-2-221-111-12-2-2-111-1-11112-12-22-2-111-1-111-10000-11-11003−3003−32-22-200000000-1-111-1-1113−33−33−33−300000000000000003−33−3000000000000
χ542-22-2-22-2222-1-22-2-21-12-2-22-2-2-11-21-122122-1-1-2-221-111-12-2-2-111-1-11112-12-22-2-111-1-111-10000-11-1100−3300−332-22-200000000-1-111-1-111−33−33−33−330000000000000000−33−33000000000000
χ552-22-2-22-2222-1-22-2-21-12-2-22-2-2-11-21-122122-1-1-2-221-111-12-2-2-111-1-11112-1-22-22-111-1-111-100001-11-1003−3003−3-22-220000000011-1-111-1-13−33−33−33−30000000000000000−33−33000000000000
χ562-22-2-22-2222-1-22-2-21-12-2-22-2-2-11-21-122122-1-1-2-221-111-12-2-2-111-1-11112-1-22-22-111-1-111-100001-11-100−3300−33-22-220000000011-1-111-1-1−33−33−33−3300000000000000003−33−3000000000000
χ572-22-2-22-222-12-2211-222-2-2-1112-2-2-22-1-1-22-12-111-1-2211-1-1112-2-22-111-2-1-12-22-2-111-1-111-100002-22-200000000-11-11−i3i3−i3i30000-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i3000000000000−i3i3−i3i300000000
χ582-22-2-22-222-12-2211-222-2-2-1112-2-2-22-1-1-22-12-111-1-2211-1-1112-2-22-111-2-1-12-22-2-111-1-111-100002-22-200000000-11-11i3−i3i3−i30000-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i3000000000000i3−i3i3−i300000000
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χ1388888-8-8-8-8-4-4-4-44-44-44-4-44-4-44-4-444444442222-2-22-22-2-222-222-2-222-2-2-2-20000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-888-8-8-4-4-4-4-4-4-4-4-444444444-4-444-44422222222222-2-2-2-2-2-2-2-2-2-22-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-8-888-4-4-4-44-44-4444-444-44444-4-44-4-42222-2-22-22-2-2-2-22-2-222-2-22-2220000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-88-88-8-4-4-4444-444-44-4-44-4-44-4-4444-44222-22-2-2-2-22-22-222-22-22-222-2-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-4-44-4444-4-444-444-4444-4-4-44-4222-2-22-22-2-222-2-22-2-222-2-2-2220000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-4444-4444-444-444-4-4-4-4-444-4222-22-2-2-2-22-2-22-2-22-22-22-22220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-888-8-4-4-44-4444-44-4-44-4-44-44444-4-44222-2-22-22-2-22-222-222-2-222-2-2-20000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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