Finite Group Databasebeta

← Group #13172195

Character table — Group #13172195

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222224444444444446666666666666688889999121212121212121212121212121212121212121218181818181818183636363654541111222222222222444444444444666666666666668888999912121212121212121212121212121212121212121818181818181818363636365454
order122233366666666633366666666622444466661212121236664444666666121212121212121212121212121222441212121266121244222266666666666666666666666622444466661212121266664444666666121212121212121212121212121222441212121266121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111-1-1111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ51111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111
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
χ91-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i1-111-1-1ii−i−ii−iii−i−iii−i−i1-1i−iii−i−i1-1i−i1-11-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i1-111-1-1ii−i−ii−iii−i−iii−i−i1-1i−iii−i−i1-1i−i1-1
χ101-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-11-1i−i−ii11-1-1−i−iii11-1-1−i−iii1-111-1-1ii−i−i−iiii−i−i−i−iii-11i−i−i−iii-11i−i-111-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-11-1i−i−ii11-1-1−i−iii11-1-1−i−iii1-111-1-1ii−i−i−iiii−i−i−i−iii-11i−i−i−iii-11i−i-11
χ111-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-11-1−iii−i11-1-1ii−i−i11-1-1ii−i−i1-111-1-1−i−iiii−i−i−iiiii−i−i-11−iiii−i−i-11−ii-111-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-11-1−iii−i11-1-1ii−i−i11-1-1ii−i−i1-111-1-1−i−iiii−i−i−iiiii−i−i-11−iiii−i−i-11−ii-11
χ121-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii1-111-1-1−i−iii−ii−i−iii−i−iii1-1−ii−i−iii1-1−ii1-11-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii1-111-1-1−i−iii−ii−i−iii−i−iii1-1−ii−i−iii1-1−ii1-1
χ131-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-1-11i−ii−i-1-111ii−i−i11-1-1−i−iii-11-1-111ii−i−ii−iii−i−iii−i−i1-1−ii−i−iii1-1−ii-111-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-1-11i−ii−i-1-111ii−i−i11-1-1−i−iii-11-1-111ii−i−ii−iii−i−iii−i−i1-1−ii−i−iii1-1−ii-11
χ141-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-1-11i−i−ii-1-111−i−iii11-1-1ii−i−i-11-1-111ii−i−i−iiii−i−i−i−iii-11−iiii−i−i-11−ii1-11-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-1-11i−i−ii-1-111−i−iii11-1-1ii−i−i-11-1-111ii−i−i−iiii−i−i−i−iii-11−iiii−i−i-11−ii1-1
χ151-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-1-11−iii−i-1-111ii−i−i11-1-1−i−iii-11-1-111−i−iiii−i−i−iiiii−i−i-11i−i−i−iii-11i−i1-11-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-1-11−iii−i-1-111ii−i−i11-1-1−i−iii-11-1-111−i−iiii−i−i−iiiii−i−i-11i−i−i−iii-11i−i1-1
χ161-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-1-11−ii−ii-1-111−i−iii11-1-1ii−i−i-11-1-111−i−iii−ii−i−iii−i−iii1-1i−iii−i−i1-1i−i-111-1-1111111-11-1-1-1-1-111111-1-11-1-1-1-1-11−ii−ii-1-111−i−iii11-1-1ii−i−i-11-1-111−i−iii−ii−i−iii−i−iii1-1i−iii−i−i1-1i−i-11
χ17222222-1222-12-1-122-1-12-1-1-1-1222-1-100222200002222-1-1-1-100000000002-12-1-1-1-1-1-1-1-1-1-1-122000000-1-10000222222-1222-12-1-122-1-12-1-1-1-1222-1-100222200002222-1-1-1-100000000002-12-1-1-1-1-1-1-1-1-1-1-122000000-1-10000
χ18222222-1222-12-1-122-1-12-1-1-1-1222-1-10022-2-20000-2-2-2-2-1-1-1-100000000002-12-111-1-1-1-11111-2-2000000110000222222-1222-12-1-122-1-12-1-1-1-1222-1-10022-2-20000-2-2-2-2-1-1-1-100000000002-12-111-1-1-1-11111-2-2000000110000
χ19222222-1222-12-1-122-1-12-1-1-1-1222-1-100-2-22200002222-1-1-1-10000000000-21-21-1-11111-1-1-1-1-2-2000000110000222222-1222-12-1-122-1-12-1-1-1-1222-1-100-2-22200002222-1-1-1-10000000000-21-21-1-11111-1-1-1-1-2-2000000110000
χ20222222-1222-12-1-122-1-12-1-1-1-1222-1-100-2-2-2-20000-2-2-2-2-1-1-1-10000000000-21-21111111111122000000-1-10000222222-1222-12-1-122-1-12-1-1-1-1222-1-100-2-2-2-20000-2-2-2-2-1-1-1-10000000000-21-21111111111122000000-1-10000
χ2122222-122-122-122-122-1-12-12-1-1-1-12-122220022220000-1-1-1-10000-1-1-1-1-1-1-12-1200-1-1-1-100000022000000-1-10022222-122-122-122-122-1-12-12-1-1-1-12-122220022220000-1-1-1-10000-1-1-1-1-1-1-12-1200-1-1-1-100000022000000-1-100
χ2222222-122-122-122-122-1-12-12-1-1-1-12-122-2-20022220000-1-1-1-10000-1-1-1-1-1-11-21-2001111000000-2-2000000110022222-122-122-122-122-1-12-12-1-1-1-12-122-2-20022220000-1-1-1-10000-1-1-1-1-1-11-21-2001111000000-2-20000001100
χ2322222-122-122-122-122-1-12-12-1-1-1-12-1-2-22200-2-2-2-20000-1-1-1-10000111111-12-1200-1-1-1-1000000-2-2000000110022222-122-122-122-122-1-12-12-1-1-1-12-1-2-22200-2-2-2-20000-1-1-1-10000111111-12-1200-1-1-1-1000000-2-20000001100
χ2422222-122-122-122-122-1-12-12-1-1-1-12-1-2-2-2-200-2-2-2-20000-1-1-1-100001111111-21-200111100000022000000-1-10022222-122-122-122-122-1-12-12-1-1-1-12-1-2-2-2-200-2-2-2-20000-1-1-1-100001111111-21-200111100000022000000-1-100
χ252222-122-12-122222-1-12-1-12-12-1-1-1-12220022-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000220000-1-1-1-10000-1-1-1-10000002222-122-12-122222-1-12-1-12-12-1-1-1-12220022-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000220000-1-1-1-10000-1-1-1-1000000
χ262222-122-12-122222-1-12-1-12-12-1-1-1-122200-2-2-1-1-1-11111-1-1-1-1-2-2-2-222-1-1-1-10000-2-200001111000011110000002222-122-12-122222-1-12-1-12-12-1-1-1-122200-2-2-1-1-1-11111-1-1-1-1-2-2-2-222-1-1-1-10000-2-20000111100001111000000
χ272222-122-12-122222-1-12-1-12-12-1-1-1-12-2-200221111-1-1-1-1-1-1-1-1-2-2-2-2-2-211110000220000-1-1-1-1000011110000002222-122-12-122222-1-12-1-12-12-1-1-1-12-2-200221111-1-1-1-1-1-1-1-1-2-2-2-2-2-211110000220000-1-1-1-100001111000000
χ282222-122-12-122222-1-12-1-12-12-1-1-1-12-2-200-2-211111111-1-1-1-12222-2-211110000-2-2000011110000-1-1-1-10000002222-122-12-122222-1-12-1-12-12-1-1-1-12-2-200-2-211111111-1-1-1-12222-2-211110000-2-2000011110000-1-1-1-1000000
χ2922-2-2222-2-22-222-2-2-2222-2-22-2-22-2-22000000000000002-22-22i−2i2i−2i0000000000000000000000002i−2i2i−2i00000022-2-2222-2-22-222-2-2-2222-2-22-2-22-2-22000000000000002-22-22i−2i2i−2i0000000000000000000000002i−2i2i−2i000000
χ3022-2-2222-2-22-222-2-2-2222-2-22-2-22-2-22000000000000002-22-2−2i2i−2i2i000000000000000000000000−2i2i−2i2i00000022-2-2222-2-22-222-2-2-2222-2-22-2-22-2-22000000000000002-22-2−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000
χ3122-2-2-1221-2-1-222-2-21-12-11-2-1-21-1112000000−i3i3−i3i33−33−3-11-112i−2i2i−2i00−i3i3−i3i300000000003−33−30000−ii−ii00000022-2-2-1221-2-1-222-2-21-12-11-2-1-21-1112000000−i3i3−i3i33−33−3-11-112i−2i2i−2i00−i3i3−i3i300000000003−33−30000−ii−ii000000
χ3222-2-2-1221-2-1-222-2-21-12-11-2-1-21-1112000000−i3i3−i3i3−33−33-11-11−2i2i−2i2i00−i3i3−i3i30000000000−33−330000i−ii−i00000022-2-2-1221-2-1-222-2-21-12-11-2-1-21-1112000000−i3i3−i3i3−33−33-11-11−2i2i−2i2i00−i3i3−i3i30000000000−33−330000i−ii−i000000
χ3322-2-2-1221-2-1-222-2-21-12-11-2-1-21-1112000000i3−i3i3−i33−33−3-11-11−2i2i−2i2i00i3−i3i3−i300000000003−33−30000i−ii−i00000022-2-2-1221-2-1-222-2-21-12-11-2-1-21-1112000000i3−i3i3−i33−33−3-11-11−2i2i−2i2i00i3−i3i3−i300000000003−33−30000i−ii−i000000
χ3422-2-2-1221-2-1-222-2-21-12-11-2-1-21-1112000000i3−i3i3−i3−33−33-11-112i−2i2i−2i00i3−i3i3−i30000000000−33−330000−ii−ii00000022-2-2-1221-2-1-222-2-21-12-11-2-1-21-1112000000i3−i3i3−i3−33−33-11-112i−2i2i−2i00i3−i3i3−i30000000000−33−330000−ii−ii000000
χ352-22-2222-2-2-2-2-2-2222222-2-2-22-2-222-2000000000000002-2-222-2-220000000000000000000000002-2-220000002-22-2222-2-2-2-2-2-2222222-2-2-22-2-222-2000000000000002-2-222-2-220000000000000000000000002-2-22000000
χ362-22-2222-2-2-2-2-2-2222222-2-2-22-2-222-2000000000000002-2-22-222-2000000000000000000000000-222-20000002-22-2222-2-2-2-2-2-2222222-2-2-22-2-222-2000000000000002-2-22-222-2000000000000000000000000-222-2000000
χ372-22-2-1221-21-2-2-222-1-12-11-21211-1-1-2000000−i3i3i3−i3−i3i3i3−i3-111-12-2-2200−i3i3i3−i30000000000−i3i3i3−i30000-111-10000002-22-2-1221-21-2-2-222-1-12-11-21211-1-1-2000000−i3i3i3−i3−i3i3i3−i3-111-12-2-2200−i3i3i3−i30000000000−i3i3i3−i30000-111-1000000
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χ422-2-2222-122-2-1-211-2-2-1-12-1-1112-2-211002i−2i−2i2i0000−2i−2i2i2i-1-11100000000002i−i−2iii−i−i−iiiii−i−i-220000001-100002-2-2222-122-2-1-211-2-2-1-12-1-1112-2-211002i−2i−2i2i0000−2i−2i2i2i-1-11100000000002i−i−2iii−i−i−iiiii−i−i-220000001-10000
χ432-2-2222-122-2-1-211-2-2-1-12-1-1112-2-21100−2i2i2i−2i00002i2i−2i−2i-1-1110000000000−2ii2i−i−iiii−i−i−i−iii-220000001-100002-2-2222-122-2-1-211-2-2-1-12-1-1112-2-21100−2i2i2i−2i00002i2i−2i−2i-1-1110000000000−2ii2i−i−iiii−i−i−i−iii-220000001-10000
χ442-2-2222-122-2-1-211-2-2-1-12-1-1112-2-21100−2i2i−2i2i0000−2i−2i2i2i-1-1110000000000−2ii2i−ii−iii−i−iii−i−i2-2000000-1100002-2-2222-122-2-1-211-2-2-1-12-1-1112-2-21100−2i2i−2i2i0000−2i−2i2i2i-1-1110000000000−2ii2i−ii−iii−i−iii−i−i2-2000000-110000
χ452-2-222-122-1-221-2-21-22-1-12-1-21-111-212-22i−2i0022-2-20000-1-1110000-11-1-111−i2ii−2i00−i−iii0000002i−2i000000−ii002-2-222-122-1-221-2-21-22-1-12-1-21-111-212-22i−2i0022-2-20000-1-1110000-11-1-111−i2ii−2i00−i−iii0000002i−2i000000−ii00
χ462-2-222-122-1-221-2-21-22-1-12-1-21-111-212-2−2i2i0022-2-20000-1-1110000-11-1-111i−2i−i2i00ii−i−i000000−2i2i000000i−i002-2-222-122-1-221-2-21-22-1-12-1-21-111-212-2−2i2i0022-2-20000-1-1110000-11-1-111i−2i−i2i00ii−i−i000000−2i2i000000i−i00
χ472-2-222-122-1-221-2-21-22-1-12-1-21-111-21-222i−2i00-2-2220000-1-11100001-111-1-1−i2ii−2i00−i−iii000000−2i2i000000i−i002-2-222-122-1-221-2-21-22-1-12-1-21-111-21-222i−2i00-2-2220000-1-11100001-111-1-1−i2ii−2i00−i−iii000000−2i2i000000i−i00
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χ16688-8-8-4-4-444-44-4-4444222-2-22-2-22-2-2200000000000000-11-1100000000000000000000000000000000000000-8-888444-4-44-444-4-4-4-2-2-222-222-222-2000000000000001-11-100000000000000000000000000000000000000
χ1678-88-8-4-4-4444444-4-4-4222-2-2-22-2-222-200000000000000-111-100000000000000000000000000000000000000-88-88444-4-4-4-4-4-4444-2-2-2222-222-2-22000000000000001-1-1100000000000000000000000000000000000000
χ1688-8-88-4-4-4-4-44-44444422222-2-22-2-2-2-200000000000000-1-11100000000000000000000000000000000000000-888-844444-44-4-4-4-4-4-2-2-2-2-222-222220000000000000011-1-100000000000000000000000000000000000000

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