Finite Group Databasebeta

← Group #13156798

Character table — Group #13156798

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
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
χ911-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1i−i1-1iiii−i−i−i−iii−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−iii−i−i11-1-1
χ1011-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1i−i-11iiii−i−i−i−iii−i−i-1-1-1-11111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii1-1−ii11-1-1−i−iii−i−iii-1-111
χ1111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1−ii1-1iiii−i−i−i−i−i−iii1111-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-1-111ii−i−i−i−iii-1-111
χ1211-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i1111-1-1-1-1−ii-11iiii−i−i−i−i−i−iii-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i-11−ii-1-111−i−iiiii−i−i11-1-1
χ1311-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1i−i1-1−i−i−i−iiiiiii−i−i1111-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-1-111−i−iiiii−i−i-1-111
χ1411-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1i−i-11−i−i−i−iiiiiii−i−i-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii-11i−i-1-111ii−i−i−i−iii11-1-1
χ1511-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−ii1-1−i−i−i−iiiii−i−iii1111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii−i−iii11-1-1
χ1611-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii1111-1-1-1-1−ii-11−i−i−i−iiiii−i−iii-1-1-1-11111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−i1-1i−i11-1-1ii−i−iii−i−i-1-111
χ172222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1220022-1-122-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ182222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-20022-1-122-1-1111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000-2-2001111000000000000
χ192222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-12200-2-211-2-211-1-1-1-100000000222211111111-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ202222222222-12222-1-122222-1-1222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-211-2-211111100000000-2-2-2-211111111111111110000000000002200-1-1-1-1000000000000
χ21222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-10022-1-122-1-122000022-1-122-1-10000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ22222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-100-2-2-1-122-1-1220000-2-211-2-2110000-1-1-1-1-1-1-1-10000000011111111000000-2-20000111100000000
χ23222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1002211-2-211-2-2000022-1-122-1-100001111111100000000-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ24222222222-1222-1-122222-1-1222-1-1222-12-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-100-2-211-2-211-2-20000-2-211-2-2110000111111110000000011111111000000220000-1-1-1-100000000
χ2522222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-120000-1-1-1-1-1-1-1-12222000000002222-1-122-1-122-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ2622222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-120000-1-1-1-1-1-1-1-122-2-200000000222211-2-211-2-2-1-1-1-100000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ2722222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-120000-1-1-1-1-1-1-1-1-2-22200000000-2-2-2-2-1-122-1-12211110000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ2822222222-122-1-12222-1-1-12222-1222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-120000-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2-2-211-2-211-2-211110000000011111111111111112222000000000000-1-1-1-10000
χ292222-2-2-2-22222-22-22-222-22-22-2-2-222-2-2-2-22222-22-2-22-2-222-2-222-22-2-2-2-222-22-222-2-222-2-200002-22-22-22-2000000000000000022-2-222-2-20000000000000000000000000000000000000000
χ302222-2-2-2-22222-22-22-222-22-22-2-2-222-2-2-2-22222-22-2-22-2-222-2-222-22-2-2-2-22-22-2222-2-222-2-20000-22-22-22-220000000000000000-2-222-2-2220000000000000000000000000000000000000000
χ312222-2-2-2-222-12-22-2-1122-22-2-11-2-22-111-2-22-1-12-2-111-11122-2-2-1-11-111-21-12-22-2-1-111-1-11100002-2-112-2-113−33−3000000000000-1-111-1-11133−3−333−3−300000000000000003−33−3000000000000
χ322222-2-2-2-222-12-22-2-1122-22-2-11-2-22-111-2-22-1-12-2-111-11122-2-2-1-11-111-21-12-22-2-1-111-1-11100002-2-112-2-11−33−33000000000000-1-111-1-111−3−333−3−3330000000000000000−33−33000000000000
χ332222-2-2-2-222-12-22-2-1122-22-2-11-2-22-111-2-22-1-12-2-111-11122-2-2-1-11-111-21-1-22-22-1-111-1-1110000-221-1-221-13−33−300000000000011-1-111-1-133−3−333−3−30000000000000000−33−33000000000000
χ342222-2-2-2-222-12-22-2-1122-22-2-11-2-22-111-2-22-1-12-2-111-11122-2-2-1-11-111-21-1-22-22-1-111-1-1110000-221-1-221-1−33−3300000000000011-1-111-1-1−3−333−3−33300000000000000003−33−3000000000000
χ352222-2-2-2-22-122-2-112-222-2-112-2-21-12-2-21-2-12-1-112-2-2-111-1-11122-2-1111-2-12-22-2-1-111-1-1110000-112-2-112-20000003−3003−30000-1-111-1-1110000000033−3−333−3−30000000000003−33−300000000
χ362222-2-2-2-22-122-2-112-222-2-112-2-21-12-2-21-2-12-1-112-2-2-111-1-11122-2-1111-2-12-22-2-1-111-1-1110000-112-2-112-2000000−3300−330000-1-111-1-11100000000−3−333−3−333000000000000−33−3300000000
χ372222-2-2-2-22-122-2-112-222-2-112-2-21-12-2-21-2-12-1-112-2-2-111-1-11122-2-1111-2-1-22-22-1-111-1-11100001-1-221-1-220000003−3003−3000011-1-111-1-10000000033−3−333−3−3000000000000−33−3300000000
χ382222-2-2-2-22-122-2-112-222-2-112-2-21-12-2-21-2-12-1-112-2-2-111-1-11122-2-1111-2-1-22-22-1-111-1-11100001-1-221-1-22000000−3300−33000011-1-111-1-100000000−3−333−3−3330000000000003−33−300000000
χ3922-2-22-2-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i-1-1-1-111112i−2i002i2i−i−i−2i−2iii−i−iii000000002i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000002-200-1-111000000000000
χ4022-2-22-2-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i-1-1-1-11111−2i2i002i2i−i−i−2i−2iiiii−i−i00000000−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000-220011-1-1000000000000
χ4122-2-22-2-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i-1-1-1-111112i−2i00−2i−2iii2i2i−i−i−i−iii000000002i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000-220011-1-1000000000000
χ4222-2-22-2-2222-12222-1-1-2-2-2-2-21122-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i-1-1-1-11111−2i2i00−2i−2iii2i2i−i−iii−i−i00000000−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000002-200-1-111000000000000
χ4322-2-22-2-222-1222-1-122-2-2-211-2-22-11-2-221-2-12-1-1-1222-1-1-11111-2-2-2111-1-212i2i−2i−2i-1-1-1-11111002-2−i−i2i2iii−2i−2i000022-1-1-2-2110000−i−i−i−iiiii00000000-1-1-1-111110000002i−2i0000−i−iii00000000
χ4422-2-22-2-222-1222-1-122-2-2-211-2-22-11-2-221-2-12-1-1-1222-1-1-11111-2-2-2111-1-212i2i−2i−2i-1-1-1-1111100-22−i−i2i2iii−2i−2i0000-2-21122-1-10000−i−i−i−iiiii000000001111-1-1-1-1000000−2i2i0000ii−i−i00000000
χ4522-2-22-2-222-1222-1-122-2-2-211-2-22-11-2-221-2-12-1-1-1222-1-1-11111-2-2-2111-1-21−2i−2i2i2i-1-1-1-11111002-2ii−2i−2i−i−i2i2i000022-1-1-2-2110000iiii−i−i−i−i00000000-1-1-1-11111000000−2i2i0000ii−i−i00000000
χ4622-2-22-2-222-1222-1-122-2-2-211-2-22-11-2-221-2-12-1-1-1222-1-1-11111-2-2-2111-1-21−2i−2i2i2i-1-1-1-1111100-22ii−2i−2i−i−i2i2i0000-2-21122-1-10000iiii−i−i−i−i000000001111-1-1-1-10000002i−2i0000−i−iii00000000
χ4722-2-22-2-22-122-1-12222111-2-2-2-2-12-2-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-20000-1-1-1-111112i−2i2-2000000002i2i−2i−2i-1-12211-2-2−i−iii00000000−i−i−i−iiiii-1-1-1-111112i2i−2i−2i000000000000−i−iii0000
χ4822-2-22-2-22-122-1-12222111-2-2-2-2-12-2-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-20000-1-1-1-111112i−2i-22000000002i2i−2i−2i11-2-2-1-122−i−iii00000000−i−i−i−iiiii1111-1-1-1-1−2i−2i2i2i000000000000ii−i−i0000
χ4922-2-22-2-22-122-1-12222111-2-2-2-2-12-2-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-20000-1-1-1-11111−2i2i2-200000000−2i−2i2i2i-1-12211-2-2ii−i−i00000000iiii−i−i−i−i-1-1-1-11111−2i−2i2i2i000000000000ii−i−i0000
χ5022-2-22-2-22-122-1-12222111-2-2-2-2-12-2-2-22-21-1-12-1-1-1-1-12221111111-2-2-2-11-20000-1-1-1-11111−2i2i-2200000000−2i−2i2i2i11-2-2-1-122ii−i−i00000000iiii−i−i−i−i1111-1-1-1-12i2i−2i−2i000000000000−i−iii0000
χ5122-2-2-222-22222-22-22-2-2-22-22-22-2-2-2-22-2222222-22-2-22-2-2-2-222-2-22-222-22-22i−2i−2i2i22-2-2-2-22200002i−2i2i−2i−2i2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5222-2-2-222-22222-22-22-2-2-22-22-22-2-2-2-22-2222222-22-2-22-2-2-2-222-2-22-222-22-2−2i2i2i−2i22-2-2-2-2220000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ5322-2-2-222-222-12-22-2-11-2-22-221-1-2-2-21-11222-1-12-2-111-111-2-22211-11-1-1-2-112i−2i−2i2i-1-11111-1-100002i−2i−ii−2i2ii−i−i3i3i3−i3000000000000−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i30000000000000000−333−3000000000000
χ5422-2-2-222-222-12-22-2-11-2-22-221-1-2-2-21-11222-1-12-2-111-111-2-22211-11-1-1-2-112i−2i−2i2i-1-11111-1-100002i−2i−ii−2i2ii−ii3−i3−i3i3000000000000−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i300000000000000003−3−33000000000000
χ5522-2-2-222-222-12-22-2-11-2-22-221-1-2-2-21-11222-1-12-2-111-111-2-22211-11-1-1-2-11−2i2i2i−2i-1-11111-1-10000−2i2ii−i2i−2i−ii−i3i3i3−i3000000000000ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i300000000000000003−3−33000000000000
χ5622-2-2-222-222-12-22-2-11-2-22-221-1-2-2-21-11222-1-12-2-111-111-2-22211-11-1-1-2-11−2i2i2i−2i-1-11111-1-10000−2i2ii−i2i−2i−iii3−i3−i3i3000000000000ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i30000000000000000−333−3000000000000
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χ1388888-8-8-8-8-4-4-4-44-44-44-4-44-44-4444-4-444442222-22-2-22-2-222-2-222-22-2-2-2-220000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-88-8-88-4-4-4-4-4-4-4-4-44444444-4-4444-44422222222222-2-2-2-2-2-2-2-2-2-22-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-888-8-4-4-4-44-44-4444-44-44-44444-44-4-42222-22-2-22-2-2-2-222-2-22-222-22-20000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-88-88-8-4-4-44-44-444-444-4-4-444444-4-44-4222-22-22-2-22-22-22-22-2-222-2-22-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-88-88-4-4-444444-4-44-4-44-4-4-4-44444-44222-2-2-2-22-2-222-2-222-222-222-2-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8888-8-8-4-4-44-44-4444-4-4444-444-4-44-4-44222-22-22-2-22-2-22-22-222-2-22-2-220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-8-888-4-4-444444-44-444-444-4-4-4-4-444-4222-2-2-2-22-2-22-222-2-22-2-22-22220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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