Finite Group Databasebeta

← Group #13156796

Character table — Group #13156796

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
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
χ911-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11-1i−i11-1-11111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−iii−i−iii−i−i11-1-1ii−i−i
χ1011-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11-1−ii11-1-11111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii−i−iii−i−iii11-1-1−i−iii
χ1111-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11i−i11-1-1-1-1-1-11111iiii−i−i−i−i11-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii-11i−iii−i−i−i−iii-1-111−i−iii
χ1211-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11−ii11-1-1-1-1-1-11111−i−i−i−iiiii11-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii−i−iiiii−i−i-1-111ii−i−i
χ1311-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11-1i−i-1-1111111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii−i−iiiii−i−i-1-111−i−iii
χ1411-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11-1−ii-1-1111111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−iii-11i−iii−i−i−i−iii-1-111ii−i−i
χ1511-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11i−i-1-111-1-1-1-11111iiii−i−i−i−i-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−iii1-1−ii−i−iii−i−iii11-1-1ii−i−i
χ1611-11-11-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11−ii-1-111-1-1-1-11111−i−i−i−iiiii-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−iii−i−iii−i−i11-1-1−i−iii
χ172222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12200222222-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220000000000-1-1-1-10000
χ182222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2002222-2-211-2-21100000000-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000-2-2000000000011110000
χ192222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-12200-2-2-2-222-1-122-1-100000000111111111111-1-1-1-1-1-1-1-1000000000000-2-2000000000011110000
χ202222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-2-2-2-2-211-2-2110000000011111111111111111111000000000000220000000000-1-1-1-10000
χ21222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-1-1-1-1-1-1-1-122220000-1-122-1-12222-1-122-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000
χ22222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-1-1-1-1-1-1-1-122-2-20000-1-122-1-122-2-211-2-211000000000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000111100000000
χ23222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-222000011-2-211-2-222-1-122-1-100000000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000
χ24222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-2-2-2000011-2-211-2-2-2-211-2-2110000000000001111111111111111222200000000-1-1-1-100000000
χ2522222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-10022-1-1-1-100000000-1-122-1-1222222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000022-1-1-1-1000000000000
χ2622222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-100-2-2-1-1-1-10000000011-2-211-2-22222-1-1-1-1-1-1-1-10000000011111111000000-2-21111000000000000
χ2722222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-10022111100000000-1-122-1-122-2-2-2-21111111100000000-1-1-1-1-1-1-1-1000000-2-21111000000000000
χ2822222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-100-2-211110000000011-2-211-2-2-2-2-2-211111111000000001111111100000022-1-1-1-1000000000000
χ29222-2-2-2-222222-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-22-22-222-222-2-222-2-2-2-2-2000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000002-22-2
χ30222-2-2-2-222222-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-22-22-222-222-2-222-2-2-2-2-2000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000-22-22
χ3122-22-22-2-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-222-2-2-1-1-1-111112-20022-2-222-1-1-2-21100000000-1-111-1-1-1-11111-1-1-1-111110000000000002-20000000000-1-1110000
χ3222-22-22-2-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-222-2-2-1-1-1-11111-220022-2-2-2-21122-1-100000000-1-111-1-1-1-111111111-1-1-1-1000000000000-22000000000011-1-10000
χ3322-22-22-2-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-2-2-222-1-1-1-111112-200-2-22222-1-1-2-2110000000011-1-11111-1-1-1-1-1-1-1-11111000000000000-22000000000011-1-10000
χ3422-22-22-2-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-2-2-222-1-1-1-11111-2200-2-222-2-21122-1-10000000011-1-11111-1-1-1-11111-1-1-1-10000000000002-20000000000-1-1110000
χ3522-22-22-2-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-110000-1-1-1-111112-22i−2i0000-1-12211-2-22i2i−i−i−2i−2iii000000000000-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i00000000−i−iii00000000
χ3622-22-22-2-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-110000-1-1-1-111112-2−2i2i0000-1-12211-2-2−2i−2iii2i2i−i−i000000000000-1-1-1-11111iiii−i−i−i−i−2i−2i2i2i00000000ii−i−i00000000
χ3722-22-22-2-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-110000-1-1-1-11111-222i−2i000011-2-2-1-1222i2i−i−i−2i−2iii0000000000001111-1-1-1-1−i−i−i−iiiii−2i−2i2i2i00000000ii−i−i00000000
χ3822-22-22-2-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-110000-1-1-1-11111-22−2i2i000011-2-2-1-122−2i−2iii2i2i−i−i0000000000001111-1-1-1-1iiii−i−i−i−i2i2i−2i−2i00000000−i−iii00000000
χ3922-22-22-2-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-12122-2-2-1-1-1-11111002i−2i-1-11100000000−i−i2i2iii−2i−2i22-2-2-1-1-1-1111100000000−i−i−i−iiiii0000002i−2i−i−iii000000000000
χ4022-22-22-2-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-12122-2-2-1-1-1-1111100−2i2i-1-11100000000ii−2i−2i−i−i2i2i22-2-2-1-1-1-1111100000000iiii−i−i−i−i000000−2i2iii−i−i000000000000
χ4122-22-22-2-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121-2-222-1-1-1-11111002i−2i11-1-100000000−i−i2i2iii−2i−2i-2-2221111-1-1-1-100000000−i−i−i−iiiii000000−2i2iii−i−i000000000000
χ4222-22-22-2-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121-2-222-1-1-1-1111100−2i2i11-1-100000000ii−2i−2i−i−i2i2i-2-2221111-1-1-1-100000000iiii−i−i−i−i0000002i−2i−i−iii000000000000
χ4322-2-22-22-22222-22-22-2-2-2-2-2-222-2-2-22222-22222-2-22-22-2-2-22-2-222-2-222-2-22000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ4422-2-22-22-22222-22-22-2-2-2-2-2-222-2-2-22222-22222-2-22-22-2-2-22-2-222-2-222-2-22000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ452-222-2-22-2222-22-2-2-22-22-22-22-2-222-2-222-2222-22-2-22-2-22-222-22-22-22-2-22-22i−2i2i−2i2-22-22-22-200002i−2i2i−2i00000000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ462-222-2-22-2222-22-2-2-22-22-22-22-2-222-2-222-2222-22-2-22-2-22-222-22-22-22-2-22-2−2i2i−2i2i2-22-22-22-20000−2i2i−2i2i0000000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ472-222-2-22-222-1-22-2-212-22-2-11-11-22-1-2-22212-1-1-22-21-1112-22-11-11-11-111-1-22i−2i2i−2i-11-11-11-1100002i−2i2i−2i00−i3i300−i3i300000000−ii−ii−i−iii−i−iii−i3−i3i3i3−i3−i3i3i30000000000000000000000003−33−30000
χ482-222-2-22-222-1-22-2-212-22-2-11-11-22-1-2-22212-1-1-22-21-1112-22-11-11-11-111-1-22i−2i2i−2i-11-11-11-1100002i−2i2i−2i00i3−i300i3−i300000000−ii−ii−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3000000000000000000000000−33−330000
χ492-222-2-22-222-1-22-2-212-22-2-11-11-22-1-2-22212-1-1-22-21-1112-22-11-11-11-111-1-2−2i2i−2i2i-11-11-11-110000−2i2i−2i2i00−i3i300−i3i300000000i−ii−iii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3000000000000000000000000−33−330000
χ502-222-2-22-222-1-22-2-212-22-2-11-11-22-1-2-22212-1-1-22-21-1112-22-11-11-11-111-1-2−2i2i−2i2i-11-11-11-110000−2i2i−2i2i00i3−i300i3−i300000000i−ii−iii−i−iii−i−ii3i3−i3−i3i3i3−i3−i30000000000000000000000003−33−30000
χ512-222-2-22-2-1221-1-2-2-2-112-22-22-21221-2-12-2-1-121-111-1-2-2-11-1-11-112-22-21212i−2i2i−2i-11-11-11-110000−ii−ii000000003−3003−3002i−2i2i−2i−i−iii−i−iii0000000033−3−333−3−300000000−i3i3−i3i3000000000000
χ522-222-2-22-2-1221-1-2-2-2-112-22-22-21221-2-12-2-1-121-111-1-2-2-11-1-11-112-22-21212i−2i2i−2i-11-11-11-110000−ii−ii00000000−3300−33002i−2i2i−2i−i−iii−i−iii00000000−3−333−3−33300000000i3−i3i3−i3000000000000
χ532-222-2-22-2-1221-1-2-2-2-112-22-22-21221-2-12-2-1-121-111-1-2-2-11-1-11-112-22-2121−2i2i−2i2i-11-11-11-110000i−ii−i000000003−3003−300−2i2i−2i2iii−i−iii−i−i0000000033−3−333−3−300000000i3−i3i3−i3000000000000
χ542-222-2-22-2-1221-1-2-2-2-112-22-22-21221-2-12-2-1-121-111-1-2-2-11-1-11-112-22-2121−2i2i−2i2i-11-11-11-110000i−ii−i00000000−3300−3300−2i2i−2i2iii−i−iii−i−i00000000−3−333−3−33300000000−i3i3−i3i3000000000000
χ552-22-222-2-2222-2-2-22-22-22-22-2-222-2-222-2-22222-2-22-2-2-222-2-22-2-222-2-222-2200002-2-222-2-2200000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i00000000
χ562-22-222-2-2222-2-2-22-22-22-22-2-222-2-222-2-22222-2-22-2-2-222-2-22-2-222-2-222-2200002-2-222-2-220000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000
χ572-22-222-2-22-12-2-21-1-22-2-112-2-2221-22-1-212-12-111-1-2-21-1-1112-2-22-111-121-10000-111-1-111-1000000003−3003−30000−i3i300−i3i30000000000003−33−33−33−3−i3i3−i3i3−i3i3−i3i32i−2i2i−2i00000000−ii−ii00000000
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χ13788888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-42222222222222222222222220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ138888-8-8-8-88-4-4-4-44-44-4-4-4-4-4-4-444444444442222-2-22-22-222-222-2-222-2-2-2-2-20000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-88-88-8-8-4-4-4-4-4-4-4-444444444-4-4-44444-42222222222-2-2-2-2-2-2-2-2-2-2-222-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-88-88-8-4-4-4-44-44-4444444-4-4444-4-4-4-442222-2-22-22-2-2-22-2-222-2-222-2-220000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-8-88-8-4-4-44-4444-44-44-44-444-4-444-4-44222-22-2-22-2-22-222-22-22-22-2-22-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-888-8-8-4-4-4444-44-44-44-444-4-444-4-444-4222-2-22-2-2-222-2-22-2-222-2-222-220000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-88-4-4-44-44444-44-44-44-44-4-4-4-4444222-22-2-22-2-2-22-2-22-22-22-22-2220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8-8888-4-4-4444-444-44-44-4-44-44444-4-4-4222-2-22-2-2-22-222-222-2-222-22-2-20000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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