Finite Group Databasebeta

← Group #13172192

Character table — Group #13172192

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222224444444444446666666666666688889999121212121212121212121212121212121212121218181818181818183636363654541111222222222222444444444444666666666666668888999912121212121212121212121212121212121212121818181818181818363636365454
order1222333666666666333666666666224444666612121212366644446666661212121212121212121212121212444412121212121212122222226666666666666666666666662244446666121212126666444466666612121212121212121212121212124444121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111111-1-11111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-11111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911-1-1111-111-1-1-11-1-111111-1-11-1-1-1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i1-111-1-1i−ii−ii−iii−i−iii−i−ii−i1-1ii−i−ii−i1-11-111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i1-111-1-1i−ii−ii−iii−i−iii−i−ii−i1-1ii−i−ii−i1-11-1
χ1011-1-1111-111-1-1-11-1-111111-1-11-1-1-1-11-1i−i−ii11-1-1ii−i−i11-1-1ii−i−i1-111-1-1−iii−i−iiii−i−i−i−iii−ii-11ii−i−i−ii-11-1111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-11-1i−i−ii11-1-1ii−i−i11-1-1ii−i−i1-111-1-1−iii−i−iiii−i−i−i−iii−ii-11ii−i−i−ii-11-11
χ1111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-11-1−iii−i11-1-1−i−iii11-1-1−i−iii1-111-1-1i−i−iii−i−i−iiiii−i−ii−i-11−i−iiii−i-11-1111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-11-1−iii−i11-1-1−i−iii11-1-1−i−iii1-111-1-1i−i−iii−i−i−iiiii−i−ii−i-11−i−iiii−i-11-11
χ1211-1-1111-111-1-1-11-1-111111-1-11-1-1-1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii1-111-1-1−ii−ii−ii−i−iii−i−iii−ii1-1−i−iii−ii1-11-111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii1-111-1-1−ii−ii−ii−i−iii−i−iii−ii1-1−i−iii−ii1-11-1
χ1311-1-1111-111-1-1-11-1-111111-1-11-1-1-1-1-11i−ii−i-1-111ii−i−i11-1-1−i−iii-11-1-111i−ii−ii−iii−i−iii−i−i−ii1-1−i−iii−ii1-1-1111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-1-11i−ii−i-1-111ii−i−i11-1-1−i−iii-11-1-111i−ii−ii−iii−i−iii−i−i−ii1-1−i−iii−ii1-1-11
χ1411-1-1111-111-1-1-11-1-111111-1-11-1-1-1-1-11i−i−ii-1-111ii−i−i11-1-1−i−iii-11-1-111−iii−i−iiii−i−i−i−iiii−i-11−i−iiii−i-111-111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-1-11i−i−ii-1-111ii−i−i11-1-1−i−iii-11-1-111−iii−i−iiii−i−i−i−iiii−i-11−i−iiii−i-111-1
χ1511-1-1111-111-1-1-11-1-111111-1-11-1-1-1-1-11−iii−i-1-111−i−iii11-1-1ii−i−i-11-1-111i−i−iii−i−i−iiiii−i−i−ii-11ii−i−i−ii-111-111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-1-11−iii−i-1-111−i−iii11-1-1ii−i−i-11-1-111i−i−iii−i−i−iiiii−i−i−ii-11ii−i−i−ii-111-1
χ1611-1-1111-111-1-1-11-1-111111-1-11-1-1-1-1-11−ii−ii-1-111−i−iii11-1-1ii−i−i-11-1-111−ii−ii−ii−i−iii−i−iiii−i1-1ii−i−ii−i1-1-1111-1-1111-111-1-1-11-1-111111-1-11-1-1-1-1-11−ii−ii-1-111−i−iii11-1-1ii−i−i-11-1-111−ii−ii−ii−i−iii−i−iiii−i1-1ii−i−ii−i1-1-11
χ17222222-122-12-122-122-1-12-12-1-1-1-12-122002222220000-1-1-1-10000-1-1-1-1-1-1-1-100220000-1-1-1-122000000-1-10000222222-122-12-122-122-1-12-12-1-1-1-12-122002222220000-1-1-1-10000-1-1-1-1-1-1-1-100220000-1-1-1-122000000-1-10000
χ18222222-122-12-122-122-1-12-12-1-1-1-12-12200-2-222220000-1-1-1-10000-1-1-1-1-1-11100-2-200001111-2-2000000110000222222-122-12-122-122-1-12-12-1-1-1-12-12200-2-222220000-1-1-1-10000-1-1-1-1-1-11100-2-200001111-2-2000000110000
χ19222222-122-12-122-122-1-12-12-1-1-1-12-1-2-20022-2-2-2-20000-1-1-1-10000111111-1-100220000-1-1-1-1-2-2000000110000222222-122-12-122-122-1-12-12-1-1-1-12-1-2-20022-2-2-2-20000-1-1-1-10000111111-1-100220000-1-1-1-1-2-2000000110000
χ20222222-122-12-122-122-1-12-12-1-1-1-12-1-2-200-2-2-2-2-2-20000-1-1-1-100001111111100-2-20000111122000000-1-10000222222-122-12-122-122-1-12-12-1-1-1-12-1-2-200-2-2-2-2-2-20000-1-1-1-100001111111100-2-20000111122000000-1-10000
χ2122222-122-12-12222-1-12-1-12-12-1-1-1-12222200-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1002200-1-1-1-100000000-1-1-1-100000022222-122-12-12222-1-12-1-12-12-1-1-1-12222200-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1002200-1-1-1-100000000-1-1-1-1000000
χ2222222-122-12-12222-1-12-1-12-12-1-1-1-1222-2-200-1-1-1-11111-1-1-1-1-2-2-2-222-1-1-1-100-2-200111100000000111100000022222-122-12-12222-1-12-1-12-12-1-1-1-1222-2-200-1-1-1-11111-1-1-1-1-2-2-2-222-1-1-1-100-2-2001111000000001111000000
χ2322222-122-12-12222-1-12-1-12-12-1-1-1-12-2-222001111-1-1-1-1-1-1-1-1-2-2-2-2-2-21111002200-1-1-1-100000000111100000022222-122-12-12222-1-12-1-12-12-1-1-1-12-2-222001111-1-1-1-1-1-1-1-1-2-2-2-2-2-21111002200-1-1-1-1000000001111000000
χ2422222-122-12-12222-1-12-1-12-12-1-1-1-12-2-2-2-20011111111-1-1-1-12222-2-2111100-2-200111100000000-1-1-1-100000022222-122-12-12222-1-12-1-12-12-1-1-1-12-2-2-2-20011111111-1-1-1-12222-2-2111100-2-200111100000000-1-1-1-1000000
χ252222-122-12222-1-122-1-12-1-1-1-1222-1-100222200002222-1-1-1-1000000000022-1-1-1-1-1-1-1-1-1-1-1-10022000000-1-1002222-122-12222-1-122-1-12-1-1-1-1222-1-100222200002222-1-1-1-1000000000022-1-1-1-1-1-1-1-1-1-1-1-10022000000-1-100
χ262222-122-12222-1-122-1-12-1-1-1-1222-1-10022-2-200002222-1-1-1-10000000000-2-2-1-111-1-1-1-1111100-2-200000011002222-122-12222-1-122-1-12-1-1-1-1222-1-10022-2-200002222-1-1-1-10000000000-2-2-1-111-1-1-1-1111100-2-20000001100
χ272222-122-12222-1-122-1-12-1-1-1-1222-1-100-2-2220000-2-2-2-2-1-1-1-100000000002211-1-11111-1-1-1-100-2-200000011002222-122-12222-1-122-1-12-1-1-1-1222-1-100-2-2220000-2-2-2-2-1-1-1-100000000002211-1-11111-1-1-1-100-2-20000001100
χ282222-122-12222-1-122-1-12-1-1-1-1222-1-100-2-2-2-20000-2-2-2-2-1-1-1-10000000000-2-21111111111110022000000-1-1002222-122-12222-1-122-1-12-1-1-1-1222-1-100-2-2-2-20000-2-2-2-2-1-1-1-10000000000-2-21111111111110022000000-1-100
χ2922-2-222-1-22-1-21-221-22-1-12-1-21-111-212-2002i−2i22-2-20000-1-1110000-11-1-111−ii002i−2i0000−i−iii2i−2i000000−ii000022-2-222-1-22-1-21-221-22-1-12-1-21-111-212-2002i−2i22-2-20000-1-1110000-11-1-111−ii002i−2i0000−i−iii2i−2i000000−ii0000
χ3022-2-222-1-22-1-21-221-22-1-12-1-21-111-212-200−2i2i22-2-20000-1-1110000-11-1-111i−i00−2i2i0000ii−i−i−2i2i000000i−i000022-2-222-1-22-1-21-221-22-1-12-1-21-111-212-200−2i2i22-2-20000-1-1110000-11-1-111i−i00−2i2i0000ii−i−i−2i2i000000i−i0000
χ3122-2-222-1-22-1-21-221-22-1-12-1-21-111-21-22002i−2i-2-2220000-1-11100001-111-1-1−ii002i−2i0000−i−iii−2i2i000000i−i000022-2-222-1-22-1-21-221-22-1-12-1-21-111-21-22002i−2i-2-2220000-1-11100001-111-1-1−ii002i−2i0000−i−iii−2i2i000000i−i0000
χ3222-2-222-1-22-1-21-221-22-1-12-1-21-111-21-2200−2i2i-2-2220000-1-11100001-111-1-1i−i00−2i2i0000ii−i−i2i−2i000000−ii000022-2-222-1-22-1-21-221-22-1-12-1-21-111-21-2200−2i2i-2-2220000-1-11100001-111-1-1i−i00−2i2i0000ii−i−i2i−2i000000−ii0000
χ3322-2-22-12-2-121-2-22-21-12-1-121-2-1111-22-22i−2i00-1-111−i−iii-1-1112i2i−2i−2i2-2-1-111002i−2i00−i−iii00000000−i−iii00000022-2-22-12-2-121-2-22-21-12-1-121-2-1111-22-22i−2i00-1-111−i−iii-1-1112i2i−2i−2i2-2-1-111002i−2i00−i−iii00000000−i−iii000000
χ3422-2-22-12-2-121-2-22-21-12-1-121-2-1111-22-2−2i2i00-1-111ii−i−i-1-111−2i−2i2i2i2-2-1-11100−2i2i00ii−i−i00000000ii−i−i00000022-2-22-12-2-121-2-22-21-12-1-121-2-1111-22-2−2i2i00-1-111ii−i−i-1-111−2i−2i2i2i2-2-1-11100−2i2i00ii−i−i00000000ii−i−i000000
χ3522-2-22-12-2-121-2-22-21-12-1-121-2-1111-2-222i−2i0011-1-1−i−iii-1-111−2i−2i2i2i-2211-1-1002i−2i00−i−iii00000000ii−i−i00000022-2-22-12-2-121-2-22-21-12-1-121-2-1111-2-222i−2i0011-1-1−i−iii-1-111−2i−2i2i2i-2211-1-1002i−2i00−i−iii00000000ii−i−i000000
χ3622-2-22-12-2-121-2-22-21-12-1-121-2-1111-2-22−2i2i0011-1-1ii−i−i-1-1112i2i−2i−2i-2211-1-100−2i2i00ii−i−i00000000−i−iii00000022-2-22-12-2-121-2-22-21-12-1-121-2-1111-2-22−2i2i0011-1-1ii−i−i-1-1112i2i−2i−2i-2211-1-100−2i2i00ii−i−i00000000−i−iii000000
χ3722-2-2-122122-2-21-1-2-2-1-12-1-1112-2-211002i−2i2i−2i00002i2i−2i−2i-1-11100000000002i−2i−ii−ii−i−iii−i−iii002-2000000-110022-2-2-122122-2-21-1-2-2-1-12-1-1112-2-211002i−2i2i−2i00002i2i−2i−2i-1-11100000000002i−2i−ii−ii−i−iii−i−iii002-2000000-1100
χ3822-2-2-122122-2-21-1-2-2-1-12-1-1112-2-211002i−2i−2i2i00002i2i−2i−2i-1-1110000000000−2i2i−iii−i−i−iiiii−i−i00-220000001-10022-2-2-122122-2-21-1-2-2-1-12-1-1112-2-211002i−2i−2i2i00002i2i−2i−2i-1-1110000000000−2i2i−iii−i−i−iiiii−i−i00-220000001-100
χ3922-2-2-122122-2-21-1-2-2-1-12-1-1112-2-21100−2i2i2i−2i0000−2i−2i2i2i-1-11100000000002i−2ii−i−iiii−i−i−i−iii00-220000001-10022-2-2-122122-2-21-1-2-2-1-12-1-1112-2-21100−2i2i2i−2i0000−2i−2i2i2i-1-11100000000002i−2ii−i−iiii−i−i−i−iii00-220000001-100
χ4022-2-2-122122-2-21-1-2-2-1-12-1-1112-2-21100−2i2i−2i2i0000−2i−2i2i2i-1-1110000000000−2i2ii−ii−iii−i−iii−i−i002-2000000-110022-2-2-122122-2-21-1-2-2-1-12-1-1112-2-21100−2i2i−2i2i0000−2i−2i2i2i-1-1110000000000−2i2ii−ii−iii−i−iii−i−i002-2000000-1100
χ412-22-22222-2-22-2-2-22-2222-2-222-22-2-2-2000000000000002-22-22i−2i2i−2i0000000000000000000000002i−2i2i−2i0000002-22-22222-2-22-2-2-22-2222-2-222-22-2-2-2000000000000002-22-22i−2i2i−2i0000000000000000000000002i−2i2i−2i000000
χ422-22-22222-2-22-2-2-22-2222-2-222-22-2-2-2000000000000002-22-2−2i2i−2i2i000000000000000000000000−2i2i−2i2i0000002-22-22222-2-22-2-2-22-2222-2-222-22-2-2-2000000000000002-22-2−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000
χ432-22-22-1221-2-1-2-2-221-12-11-2-121-111-2000000−i3i3−i3i33−33−3-11-112i−2i2i−2i00−i3i3−i3i30000003−33−300000000−ii−ii0000002-22-22-1221-2-1-2-2-221-12-11-2-121-111-2000000−i3i3−i3i33−33−3-11-112i−2i2i−2i00−i3i3−i3i30000003−33−300000000−ii−ii000000
χ442-22-22-1221-2-1-2-2-221-12-11-2-121-111-2000000−i3i3−i3i3−33−33-11-11−2i2i−2i2i00−i3i3−i3i3000000−33−3300000000i−ii−i0000002-22-22-1221-2-1-2-2-221-12-11-2-121-111-2000000−i3i3−i3i3−33−33-11-11−2i2i−2i2i00−i3i3−i3i3000000−33−3300000000i−ii−i000000
χ452-22-22-1221-2-1-2-2-221-12-11-2-121-111-2000000i3−i3i3−i33−33−3-11-11−2i2i−2i2i00i3−i3i3−i30000003−33−300000000i−ii−i0000002-22-22-1221-2-1-2-2-221-12-11-2-121-111-2000000i3−i3i3−i33−33−3-11-11−2i2i−2i2i00i3−i3i3−i30000003−33−300000000i−ii−i000000
χ462-22-22-1221-2-1-2-2-221-12-11-2-121-111-2000000i3−i3i3−i3−33−33-11-112i−2i2i−2i00i3−i3i3−i3000000−33−3300000000−ii−ii0000002-22-22-1221-2-1-2-2-221-12-11-2-121-111-2000000i3−i3i3−i3−33−33-11-112i−2i2i−2i00i3−i3i3−i3000000−33−3300000000−ii−ii000000
χ472-2-22222-2-2-2-222-2-22222-2-2-2-2-2-2222000000000000002-2-222-2-220000000000000000000000002-2-220000002-2-22222-2-2-2-222-2-22222-2-2-2-2-2-2222000000000000002-2-222-2-220000000000000000000000002-2-22000000
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χ1658888-4-4-4-4-4-4-4-4-4-4-4-422222222222200000000000000-1-1-1-100000000000000000000000000000000000000-8-8-8-8444444444444-2-2-2-2-2-2-2-2-2-2-2-200000000000000111100000000000000000000000000000000000000
χ16688-8-8-4-4-44-4-4444-44422222-2-22-2-2-2-200000000000000-1-11100000000000000000000000000000000000000-8-888444-444-4-4-44-4-4-2-2-2-2-222-222220000000000000011-1-100000000000000000000000000000000000000
χ1678-88-8-4-4-4-444-4444-44222-2-222-22-2-2-200000000000000-11-1100000000000000000000000000000000000000-88-884444-4-44-4-4-44-4-2-2-222-2-22-2222000000000000001-11-100000000000000000000000000000000000000
χ1688-8-88-4-4-44444-4-444-4222-2-2-2-2-2-222200000000000000-111-100000000000000000000000000000000000000-888-8444-4-4-4-444-4-44-2-2-2222222-2-2-2000000000000001-1-1100000000000000000000000000000000000000

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