Finite Group Databasebeta

← Group #13156780

Character table — Group #13156780

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
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
χ911-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-11-11-1iiii−i−i−i−i1111-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i11-1-1ii−i−i
χ1011-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-11-1-11iiii−i−i−i−i1111-1-1-1-1-1-111-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111−iii−iii−i−i−i−iii-1-111−i−iii
χ1111-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-1-111-1iiii−i−i−i−i-1-1-1-1111111-1-111-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111i−i−ii−i−iiiii−i−i-1-111−i−iii
χ1211-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-1-11-11iiii−i−i−i−i-1-1-1-11111-1-111-1-111iiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−ii−ii−i−iii−i−iii11-1-1ii−i−i
χ1311-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-11-11-1−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii11-1-1−i−iii
χ1411-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-11-1-11−i−i−i−iiiii1111-1-1-1-1-1-111-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111i−i−ii−i−iiiii−i−i-1-111ii−i−i
χ1511-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-1-111-1−i−i−i−iiiii-1-1-1-1111111-1-111-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111−iii−iii−i−i−i−iii-1-111ii−i−i
χ1611-11-1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-1-11-11−i−i−i−iiiii-1-1-1-11111-1-111-1-111−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1i−ii−iii−i−iii−i−i11-1-1−i−iii
χ172222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-122220000000022-1-122-1-12222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ182222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-122-2-20000000022-1-122-1-1-2-2-2-2111100000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ192222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-2-22200000000-2-211-2-2112222-1-1-1-10000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ202222222222-12222-12222-1-1-1-122-12222-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211-2-211-2-2-2-211110000000011111111111111112222000000000000-1-1-1-10000
χ21222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-1002222-1-122-1-100000000-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000022000000-1-1-1-100000000
χ22222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-100-2-222-1-122-1-1000000001111-2-2-2-2-1-1-1-1-1-1-1-100000000111111110000-2-2000000111100000000
χ23222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-10022-2-211-2-21100000000-1-1-1-122221111111100000000-1-1-1-1-1-1-1-10000-2-2000000111100000000
χ24222222222-1222-1-1222-1-122222-122-12-12-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-211-2-211000000001111-2-2-2-2111111110000000011111111000022000000-1-1-1-100000000
χ2522222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-12200-1-122-1-122-1-122-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022-1-1-1-1000000000000
χ2622222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-1-2-200-1-122-1-12211-2-211-2-200000000-1-1-1-1-1-1-1-11111111100000000000000-2-21111000000000000
χ2722222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-1220011-2-211-2-2-1-122-1-1220000000011111111-1-1-1-1-1-1-1-100000000000000-2-21111000000000000
χ2822222222-122-1-1222-1-1222222-122-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-1-2-20011-2-211-2-211-2-211-2-20000000011111111111111110000000000000022-1-1-1-1000000000000
χ29222-22-2-2-22222-22-222-22-222-2-2-2-2-222-2-2-22222-2-22-22-22-2-222-2-222-2-2-2-222-22-222-2-222-2-200002-22-22-22-2000000000000000022-2-222-2-20000000000000000000000000000000000000000
χ30222-22-2-2-22222-22-222-22-222-2-2-2-2-222-2-2-22222-2-22-22-22-2-222-2-222-2-2-2-22-22-2222-2-222-2-20000-22-22-22-220000000000000000-2-222-2-2220000000000000000000000000000000000000000
χ31222-22-2-2-22-122-2-1122-2-1122-2-2-21-22-1-21-2-12-1-1112-2-11-11122-2-2-1-111-21-12-22-2-1-111-1-11100002-2-112-2-11000000003−33−30000-1-111-1-1110000000033−3−333−3−30000000000003−33−300000000
χ32222-22-2-2-22-122-2-1122-2-1122-2-2-21-22-1-21-2-12-1-1112-2-11-11122-2-2-1-111-21-12-22-2-1-111-1-11100002-2-112-2-1100000000−33−330000-1-111-1-11100000000−3−333−3−333000000000000−33−3300000000
χ33222-22-2-2-22-122-2-1122-2-1122-2-2-21-22-1-21-2-12-1-1112-2-11-11122-2-2-1-111-21-1-22-22-1-111-1-1110000-221-1-221-1000000003−33−3000011-1-111-1-10000000033−3−333−3−3000000000000−33−3300000000
χ34222-22-2-2-22-122-2-1122-2-1122-2-2-21-22-1-21-2-12-1-1112-2-11-11122-2-2-1-111-21-1-22-22-1-111-1-1110000-221-1-221-100000000−33−33000011-1-111-1-100000000−3−333−3−3330000000000003−33−300000000
χ35222-22-2-2-2-122-112-22-112-222-2-21-2-2-121-2-2-1-12-111-112-2-111-1-11122-2-21-2-12-22-2-1-111-1-1110000-112-2-112-23−3003−30000000000-1-111-1-11133−3−333−3−300000000000000003−33−3000000000000
χ36222-22-2-2-2-122-112-22-112-222-2-21-2-2-121-2-2-1-12-111-112-2-111-1-11122-2-21-2-12-22-2-1-111-1-1110000-112-2-112-2−3300−330000000000-1-111-1-111−3−333−3−3330000000000000000−33−33000000000000
χ37222-22-2-2-2-122-112-22-112-222-2-21-2-2-121-2-2-1-12-111-112-2-111-1-11122-2-21-2-1-22-22-1-111-1-11100001-1-221-1-223−3003−3000000000011-1-111-1-133−3−333−3−30000000000000000−33−33000000000000
χ38222-22-2-2-2-122-112-22-112-222-2-21-2-2-121-2-2-1-12-111-112-2-111-1-11122-2-21-2-1-22-22-1-111-1-11100001-1-221-1-22−3300−33000000000011-1-111-1-1−3−333−3−33300000000000000003−33−3000000000000
χ3922-22-2-22-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-111112-22-20000000022-1-1-2-21122-2-2-1-11100000000-1-1-1-11111-1-1-1-1111122-2-2000000000000-1-1110000
χ4022-22-2-22-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-111112-2-220000000022-1-1-2-211-2-22211-1-100000000-1-1-1-111111111-1-1-1-1-2-22200000000000011-1-10000
χ4122-22-2-22-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-11111-222-200000000-2-21122-1-122-2-2-1-111000000001111-1-1-1-1-1-1-1-11111-2-22200000000000011-1-10000
χ4222-22-2-22-222-12222-1-2-2-2-2111122-1-2-2-2-2-12-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-11111-22-2200000000-2-21122-1-1-2-22211-1-1000000001111-1-1-1-11111-1-1-1-122-2-2000000000000-1-1110000
χ4322-22-2-22-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-112i2i−2i−2i-1-1-1-11111002-22i2i−i−i−2i−2iii00000000-1-11122-2-2−i−i−i−iiiii00000000-1-1-1-1111100002i−2i000000−i−iii00000000
χ4422-22-2-22-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-112i2i−2i−2i-1-1-1-1111100-222i2i−i−i−2i−2iii0000000011-1-1-2-222−i−i−i−iiiii000000001111-1-1-1-10000−2i2i000000ii−i−i00000000
χ4522-22-2-22-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-11−2i−2i2i2i-1-1-1-11111002-2−2i−2iii2i2i−i−i00000000-1-11122-2-2iiii−i−i−i−i00000000-1-1-1-111110000−2i2i000000ii−i−i00000000
χ4622-22-2-22-22-1222-1-12-2-211-2-2-2-22-12-21-212-12-1-1-1-122-1-1111-2-2-2-211112-11−2i−2i2i2i-1-1-1-1111100-22−2i−2iii2i2i−i−i0000000011-1-1-2-222iiii−i−i−i−i000000001111-1-1-1-100002i−2i000000−i−iii00000000
χ4722-22-2-22-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-1212i2i−2i−2i-1-1-1-111112-200−i−i2i2iii−2i−2i-1-12211-2-200000000−i−i−i−iiiii-1-1-1-11111000000000000002i−2i−i−iii000000000000
χ4822-22-2-22-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-1212i2i−2i−2i-1-1-1-11111-2200−i−i2i2iii−2i−2i11-2-2-1-12200000000−i−i−i−iiiii1111-1-1-1-100000000000000−2i2iii−i−i000000000000
χ4922-22-2-22-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121−2i−2i2i2i-1-1-1-111112-200ii−2i−2i−i−i2i2i-1-12211-2-200000000iiii−i−i−i−i-1-1-1-1111100000000000000−2i2iii−i−i000000000000
χ5022-22-2-22-2-122-1-122211-2-2-2-2-2-2-1221-21-22-1-12-1-1-1-1-1221111111-2-2-2-2-121−2i−2i2i2i-1-1-1-11111-2200ii−2i−2i−i−i2i2i11-2-2-1-12200000000iiii−i−i−i−i1111-1-1-1-1000000000000002i−2i−i−iii000000000000
χ5122-2-2-22-222222-22-22-22-22-2-222-2-2-2-2-222-22222-2-22-22-2-222-2-222-2-222-2-2-22i−2i−2i2i22-2-2-2-22200002i−2i2i−2i−2i2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5222-2-2-22-222222-22-22-22-22-2-222-2-2-2-2-222-22222-2-22-22-2-222-2-222-2-222-2-2-2−2i2i2i−2i22-2-2-2-2220000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ5322-2-2-22-222-122-2-112-221-1-2-222-21-2-212-1-2-12-1-1112-2-111-1-1-2-22211-1-1-2112i−2i−2i2i-1-11111-1-100002i−2i−ii−2i2ii−i000000003−3−330000−i−iiiii−i−i0000000033−3−3−3−333000000000000i3−i3−i3i300000000
χ5422-2-2-22-222-122-2-112-221-1-2-222-21-2-212-1-2-12-1-1112-2-111-1-1-2-22211-1-1-2112i−2i−2i2i-1-11111-1-100002i−2i−ii−2i2ii−i00000000−333−30000−i−iiiii−i−i00000000−3−33333−3−3000000000000−i3i3i3−i300000000
χ5522-2-2-22-222-122-2-112-221-1-2-222-21-2-212-1-2-12-1-1112-2-111-1-1-2-22211-1-1-211−2i2i2i−2i-1-11111-1-10000−2i2ii−i2i−2i−ii000000003−3−330000ii−i−i−i−iii0000000033−3−3−3−333000000000000−i3i3i3−i300000000
χ5622-2-2-22-222-122-2-112-221-1-2-222-21-2-212-1-2-12-1-1112-2-111-1-1-2-22211-1-1-211−2i2i2i−2i-1-11111-1-10000−2i2ii−i2i−2i−ii00000000−333−30000ii−i−i−i−iii00000000−3−33333−3−3000000000000i3−i3−i3i300000000
χ5722-2-2-22-22-122-112-221-1-22-2-2221-2-21-2-12-2-1-12-111-112-21-1-111-1-1-2-2221-212i−2i−2i2i-1-11111-1-10000−ii2i−2ii−i−2i2i3−300−330000000000−i−iiiii−i−i33−3−3−3−3330000000000000000i3−i3−i3i3000000000000
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χ1428-88-8-888-8-4-4-44-4444-4-4-44-444-44-44444-4-4222-2-22-22-2-22-222-2-222-2-22-22-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8888-8-8-4-4-4444-444-4444-44-4-44-4-4-44-44222-22-2-2-2-22-2-22-22-22-22-222-220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-88-888-4-4-44-4444444-44-4-444-44-4-4-44-4222-2-22-22-2-2-22-2-222-2-222-2-2220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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