Finite Group Databasebeta

← Group #13180834

Character table — Group #13180834

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222233334466666688888899121216161616161618181818181824242424242436363636545454541122223333446666668888889912121616161616161818181818182424242424243636363654545454
order1233662244366666121233366644663336664444121212121212121212121212224422666622446666661212666666446666666644441212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111-1-1111111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111-1-1111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-111-1-1-11i−i1-111-1-1i−i111-1-1-1i−i1-1111-1-1-1i−ii−ii−iiii−i−i−ii−ii−i1-11-11-111-1-1-11i−i1-111-1-1i−i111-1-1-1i−i1-1111-1-1-1i−ii−ii−iiii−i−i−ii−ii−i1-11-1
χ61-111-1-1-11i−i1-111-1-1i−i111-1-1-1i−i1-1111-1-1-1−ii−iii−iiii−i−i−i−ii−ii-11-111-111-1-1-11i−i1-111-1-1i−i111-1-1-1i−i1-1111-1-1-1−ii−iii−iiii−i−i−i−ii−ii-11-11
χ71-111-1-1-11−ii1-111-1-1−ii111-1-1-1−ii1-1111-1-1-1i−ii−i−ii−i−i−iiiii−ii−i-11-111-111-1-1-11−ii1-111-1-1−ii111-1-1-1−ii1-1111-1-1-1i−ii−i−ii−i−i−iiiii−ii−i-11-11
χ81-111-1-1-11−ii1-111-1-1−ii111-1-1-1−ii1-1111-1-1-1−ii−ii−ii−i−i−iiii−ii−ii1-11-11-111-1-1-11−ii1-111-1-1−ii111-1-1-1−ii1-1111-1-1-1−ii−ii−ii−i−i−iiii−ii−ii1-11-1
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χ1022222222-2-2222222-2-2-1-1-1-1-1-1-2-222-1-1-1-1-1-10000-2-21111110000000022222222-2-2222222-2-2-1-1-1-1-1-1-2-222-1-1-1-1-1-10000-2-211111100000000
χ11222-12-12200-1-12-12-10022222200-1-1-1-1-1-1-1-1222200000000-1-1-1-10000222-12-12200-1-12-12-10022222200-1-1-1-1-1-1-1-1222200000000-1-1-1-10000
χ12222-12-12200-1-12-12-10022222200-1-1-1-1-1-1-1-1-2-2-2-20000000011110000222-12-12200-1-12-12-10022222200-1-1-1-1-1-1-1-1-2-2-2-20000000011110000
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χ1622-12-1222-2-2-1-1-12-12112-1-12-1-1-2-2-1-12-1-12-1-1000011-211-2110000000022-12-1222-2-2-1-1-12-12112-1-12-1-1-2-2-1-12-1-12-1-1000011-211-21100000000
χ1722-12-1222-2-2-1-1-12-1211-12-1-12-1-2-2-1-1-12-1-12-10000111-211-210000000022-12-1222-2-2-1-1-12-1211-12-1-12-1-2-2-1-1-12-1-12-10000111-211-2100000000
χ1822-12-1222-2-2-1-1-12-1211-1-12-1-12-2-2-1-1-1-12-1-1200001111-211-20000000022-12-1222-2-2-1-1-12-1211-1-12-1-12-2-2-1-1-1-12-1-1200001111-211-200000000
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χ252-2-121-2-222i−2i-11-121-2−ii-1-1211-22i−2i-11-1-1211-20000−ii−i−i2iii−2i000000002-2-121-2-222i−2i-11-121-2−ii-1-1211-22i−2i-11-1-1211-20000−ii−i−i2iii−2i00000000
χ262-2-121-2-22−2i2i-11-121-2i−i2-1-1-211−2i2i-112-1-1-2110000i−i−2iii2i−i−i000000002-2-121-2-22−2i2i-11-121-2i−i2-1-1-211−2i2i-112-1-1-2110000i−i−2iii2i−i−i00000000
χ272-2-121-2-22−2i2i-11-121-2i−i-12-11-21−2i2i-11-12-11-210000i−ii−2ii−i2i−i000000002-2-121-2-22−2i2i-11-121-2i−i-12-11-21−2i2i-11-12-11-210000i−ii−2ii−i2i−i00000000
χ282-2-121-2-22−2i2i-11-121-2i−i-1-1211-2−2i2i-11-1-1211-20000i−iii−2i−i−i2i000000002-2-121-2-22−2i2i-11-121-2i−i-1-1211-2−2i2i-11-1-1211-20000i−iii−2i−i−i2i00000000
χ29333333-1-13333-1-1-1-133000000-1-1-1-100000011-1-1-1-100000011-1-111-1-1333333-1-13333-1-1-1-133000000-1-1-1-100000011-1-1-1-100000011-1-111-1-1
χ30333333-1-13333-1-1-1-133000000-1-1-1-1000000-1-111-1-1000000-1-111-1-111333333-1-13333-1-1-1-133000000-1-1-1-1000000-1-111-1-1000000-1-111-1-111
χ31333333-1-1-3-333-1-1-1-1-3-300000011-1-100000011-1-11100000011-1-1-1-111333333-1-1-3-333-1-1-1-1-3-300000011-1-100000011-1-11100000011-1-1-1-111
χ32333333-1-1-3-333-1-1-1-1-3-300000011-1-1000000-1-11111000000-1-11111-1-1333333-1-1-3-333-1-1-1-1-3-300000011-1-1000000-1-11111000000-1-11111-1-1
χ333-333-3-31-13i−3i3-3-1-1113i−3i000000−ii-11000000i−i−ii−ii000000i−i−ii1-1-113-333-3-31-13i−3i3-3-1-1113i−3i000000−ii-11000000i−i−ii−ii000000i−i−ii1-1-11
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χ37444-24-24400-2-24-24-200-2-2-2-2-2-200-2-211111100000000000000000000444-24-24400-2-24-24-200-2-2-2-2-2-200-2-211111100000000000000000000
χ3844-2-2-2-2440011-2-2-2-2004-2-24-2-20011-211-2110000000000000000000044-2-2-2-2440011-2-2-2-2004-2-24-2-20011-211-21100000000000000000000
χ3944-2-2-2-2440011-2-2-2-200-24-2-24-200111-211-210000000000000000000044-2-2-2-2440011-2-2-2-200-24-2-24-200111-211-2100000000000000000000
χ4044-2-2-2-2440011-2-2-2-200-2-24-2-24001111-211-20000000000000000000044-2-2-2-2440011-2-2-2-200-2-24-2-24001111-211-200000000000000000000
χ414-44-2-42-4400-224-2-4200-2-2-222200-22111-1-1-1000000000000000000004-44-2-42-4400-224-2-4200-2-2-222200-22111-1-1-100000000000000000000
χ424-4-2-222-44001-1-2-222004-2-2-422001-1-2112-1-1000000000000000000004-4-2-222-44001-1-2-222004-2-2-422001-1-2112-1-100000000000000000000
χ434-4-2-222-44001-1-2-22200-24-22-42001-11-21-12-1000000000000000000004-4-2-222-44001-1-2-22200-24-22-42001-11-21-12-100000000000000000000
χ444-4-2-222-44001-1-2-22200-2-2422-4001-111-2-1-12000000000000000000004-4-2-222-44001-1-2-22200-2-2422-4001-111-2-1-1200000000000000000000
χ45666-36-3-2-200-3-3-21-2100000000001100000022-2-200000000-1-1110000666-36-3-2-200-3-3-21-2100000000001100000022-2-200000000-1-1110000
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χ4766-36-36-2-266-3-31-21-2-3-3000000-2-2110000000000110000000000000066-36-36-2-266-3-31-21-2-3-3000000-2-21100000000001100000000000000
χ4866-36-36-2-2-6-6-3-31-21-23300000022110000000000-1-10000000000000066-36-36-2-2-6-6-3-31-21-23300000022110000000000-1-100000000000000
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χ531212-6-6-6-6-4-4003322220000000000-1-1000000000000000000000000001212-6-6-6-6-4-4003322220000000000-1-100000000000000000000000000
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χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ561111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5711111111-1-1111111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5811111111-1-1111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
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χ601-111-1-1-11i−i1-111-1-1i−i111-1-1-1i−i1-1111-1-1-1−ii−iii−iiii−i−i−i−ii−ii-11-11-11-1-1111-1−ii-11-1-111−ii-1-1-1111−ii-11-1-1-1111i−ii−i−ii−i−i−iiiii−ii−i1-11-1
χ611-111-1-1-11−ii1-111-1-1−ii111-1-1-1−ii1-1111-1-1-1i−ii−i−ii−i−i−iiiii−ii−i-11-11-11-1-1111-1i−i-11-1-111i−i-1-1-1111i−i-11-1-1-1111−ii−iii−iiii−i−i−i−ii−ii1-11-1
χ621-111-1-1-11−ii1-111-1-1−ii111-1-1-1−ii1-1111-1-1-1−ii−ii−ii−i−i−iiii−ii−ii1-11-1-11-1-1111-1i−i-11-1-111i−i-1-1-1111i−i-11-1-1-1111i−ii−ii−iiii−i−i−ii−ii−i-11-11
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χ65222-12-12200-1-12-12-10022222200-1-1-1-1-1-1-1-1222200000000-1-1-1-10000-2-2-21-21-2-20011-21-2100-2-2-2-2-2-20011111111-2-2-2-20000000011110000
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χ7122-12-1222-2-2-1-1-12-1211-12-1-12-1-2-2-1-1-12-1-12-10000111-211-2100000000-2-21-21-2-2-222111-21-2-1-11-211-2122111-211-210000-1-1-12-1-12-100000000
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χ762-22-1-21-2200-112-1-2100222-2-2-200-11-1-1-1111−2i2i−2i2i00000000i−ii−i0000-22-212-12-2001-1-212-100-2-2-2222001-1111-1-1-12i−2i2i−2i00000000−ii−ii0000
χ772-2-121-2-222i−2i-11-121-2−ii2-1-1-2112i−2i-112-1-1-2110000−ii2i−i−i−2iii00000000-221-2-122-2−2i2i1-11-2-12i−i-2112-1-1−2i2i1-1-2112-1-10000i−i−2iii2i−i−i00000000
χ782-2-121-2-222i−2i-11-121-2−ii-12-11-212i−2i-11-12-11-210000−ii−i2i−ii−2ii00000000-221-2-122-2−2i2i1-11-2-12i−i1-21-12-1−2i2i1-11-21-12-10000i−ii−2ii−i2i−i00000000
χ792-2-121-2-222i−2i-11-121-2−ii-1-1211-22i−2i-11-1-1211-20000−ii−i−i2iii−2i00000000-221-2-122-2−2i2i1-11-2-12i−i11-2-1-12−2i2i1-111-2-1-120000i−iii−2i−i−i2i00000000
χ802-2-121-2-22−2i2i-11-121-2i−i2-1-1-211−2i2i-112-1-1-2110000i−i−2iii2i−i−i00000000-221-2-122-22i−2i1-11-2-12−ii-2112-1-12i−2i1-1-2112-1-10000−ii2i−i−i−2iii00000000
χ812-2-121-2-22−2i2i-11-121-2i−i-12-11-21−2i2i-11-12-11-210000i−ii−2ii−i2i−i00000000-221-2-122-22i−2i1-11-2-12−ii1-21-12-12i−2i1-11-21-12-10000−ii−i2i−ii−2ii00000000
χ822-2-121-2-22−2i2i-11-121-2i−i-1-1211-2−2i2i-11-1-1211-20000i−iii−2i−i−i2i00000000-221-2-122-22i−2i1-11-2-12−ii11-2-1-122i−2i1-111-2-1-120000−ii−i−i2iii−2i00000000
χ83333333-1-13333-1-1-1-133000000-1-1-1-100000011-1-1-1-100000011-1-111-1-1-3-3-3-3-3-311-3-3-3-31111-3-30000001111000000-1-11111000000-1-111-1-111
χ84333333-1-13333-1-1-1-133000000-1-1-1-1000000-1-111-1-1000000-1-111-1-111-3-3-3-3-3-311-3-3-3-31111-3-3000000111100000011-1-11100000011-1-111-1-1
χ85333333-1-1-3-333-1-1-1-1-3-300000011-1-100000011-1-11100000011-1-1-1-111-3-3-3-3-3-31133-3-3111133000000-1-111000000-1-111-1-1000000-1-11111-1-1
χ86333333-1-1-3-333-1-1-1-1-3-300000011-1-1000000-1-11111000000-1-11111-1-1-3-3-3-3-3-31133-3-3111133000000-1-11100000011-1-1-1-100000011-1-1-1-111
χ873-333-3-31-13i−3i3-3-1-1113i−3i000000−ii-11000000i−i−ii−ii000000i−i−ii1-1-11-33-3-333-11−3i3i-3311-1-1−3i3i000000i−i1-1000000−iii−ii−i000000−iii−i-111-1
χ883-333-3-31-13i−3i3-3-1-1113i−3i000000−ii-11000000−iii−i−ii000000−iii−i-111-1-33-3-333-11−3i3i-3311-1-1−3i3i000000i−i1-1000000i−i−iii−i000000i−i−ii1-1-11
χ893-333-3-31-1−3i3i3-3-1-111−3i3i000000i−i-11000000i−i−iii−i000000i−i−ii-111-1-33-3-333-113i−3i-3311-1-13i−3i000000−ii1-1000000−iii−i−ii000000−iii−i1-1-11
χ903-333-3-31-1−3i3i3-3-1-111−3i3i000000i−i-11000000−iii−ii−i000000−iii−i1-1-11-33-3-333-113i−3i-3311-1-13i−3i000000−ii1-1000000i−i−ii−ii000000i−i−ii-111-1
χ91444-24-24400-2-24-24-200-2-2-2-2-2-200-2-211111100000000000000000000-4-4-42-42-4-40022-42-42002222220022-1-1-1-1-1-100000000000000000000
χ9244-2-2-2-2440011-2-2-2-2004-2-24-2-20011-211-21100000000000000000000-4-42222-4-400-1-1222200-422-42200-1-12-1-12-1-100000000000000000000
χ9344-2-2-2-2440011-2-2-2-200-24-2-24-200111-211-2100000000000000000000-4-42222-4-400-1-12222002-422-4200-1-1-12-1-12-100000000000000000000
χ9444-2-2-2-2440011-2-2-2-200-2-24-2-24001111-211-200000000000000000000-4-42222-4-400-1-122220022-422-400-1-1-1-12-1-1200000000000000000000
χ954-44-2-42-4400-224-2-4200-2-2-222200-22111-1-1-100000000000000000000-44-424-24-4002-2-424-200222-2-2-2002-2-1-1-111100000000000000000000
χ964-4-2-222-44001-1-2-222004-2-2-422001-1-2112-1-100000000000000000000-4422-2-24-400-1122-2-200-4224-2-200-112-1-1-21100000000000000000000
χ974-4-2-222-44001-1-2-22200-24-22-42001-11-21-12-100000000000000000000-4422-2-24-400-1122-2-2002-42-24-200-11-12-11-2100000000000000000000
χ984-4-2-222-44001-1-2-22200-2-2422-4001-111-2-1-1200000000000000000000-4422-2-24-400-1122-2-20022-4-2-2400-11-1-1211-200000000000000000000
χ99666-36-3-2-200-3-3-21-2100000000001100000022-2-200000000-1-1110000-6-6-63-632200332-12-10000000000-1-1000000-2-2220000000011-1-10000
χ100666-36-3-2-200-3-3-21-21000000000011000000-2-2220000000011-1-10000-6-6-63-632200332-12-10000000000-1-100000022-2-200000000-1-1110000
χ10166-36-36-2-266-3-31-21-2-3-3000000-2-21100000000001100000000000000-6-63-63-622-6-633-12-123300000022-1-10000000000-1-100000000000000
χ10266-36-36-2-2-6-6-3-31-21-23300000022110000000000-1-100000000000000-6-63-63-6226633-12-12-3-3000000-2-2-1-100000000001100000000000000
χ1036-66-3-632-200-33-212-100000000001-10000002i−2i−2i2i00000000−iii−i0000-66-636-3-22003-32-1-210000000000-11000000−2i2i2i−2i00000000i−i−ii0000
χ1046-66-3-632-200-33-212-100000000001-1000000−2i2i2i−2i00000000i−i−ii0000-66-636-3-22003-32-1-210000000000-110000002i−2i−2i2i00000000−iii−i0000
χ1056-6-363-62-26i−6i-331-2-12−3i3i000000−2i2i1-10000000000i−i00000000000000-663-6-36-22−6i6i3-3-121-23i−3i0000002i−2i-110000000000−ii00000000000000
χ1066-6-363-62-2−6i6i-331-2-123i−3i0000002i−2i1-10000000000−ii00000000000000-663-6-36-226i−6i3-3-121-2−3i3i000000−2i2i-110000000000i−i00000000000000
χ1071212-6-6-6-6-4-4003322220000000000-1-100000000000000000000000000-12-1266664400-3-3-2-2-2-200000000001100000000000000000000000000
χ10812-12-6-6664-4003-322-2-20000000000-1100000000000000000000000000-121266-6-6-4400-33-2-22200000000001-100000000000000000000000000

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