Finite Group Databasebeta

← Group #13178700

Character table — Group #13178700

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111-1-11-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-111-1-11-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-11-1-1-11-1-111-1-11-1111111111111111111111111111111111111111111-1-1-1-1-11-1-1-11-1-111-1-11-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-11-1-1-111-11111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-11-1-1-111-11
χ5111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11-1-1-1-111111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11-1-1-1-111
χ6111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111111-1-1111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111111-1-1
χ7111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111-11-1-1-1111-1111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111-11-1-1-1111-1
χ8111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-11111-1-111-1-1-11111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-11111-1-111-1-1-11
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χ722222-122-1222-1-1-1-1-1-12-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-20011001000000-2-2-2-21-2-21-2-2-2111111-211111-2-2-2-2-2-211111111-2111122-1-1200-1-100-1000000
χ732222-122-12-22-1-1-1-1112-1-1-1-1-122-2-2-2-2111111112-1-1-1-122-1-1-2001100-1000000-2-2-2-21-2-21-22-21111-1-1-211111-2-22222-1-1-1-1-1-1-1-1-21111-2-211200-1-1001000000
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χ762222-1-22-1202-1-1-1-1−i3i32-1-1-1-11-2-20000−i3−i3−i3−i3i3i3i3i3-21111-2211000i3−i300-1000000-2-2-2-212-21-20-21111i3−i3-21111-1220000i3i3i3i3−i3−i3−i3−i32-1-1-1-12-2-1-1000−i3i3001000000
χ772222-1-22-1202-1-1-1-1i3−i32-1-1-1-11-2-20000i3i3i3i3−i3−i3−i3−i3-211112-2-1-1000i3−i3001000000-2-2-2-212-21-20-21111−i3i3-21111-1220000−i3−i3−i3−i3i3i3i3i32-1-1-1-1-2211000−i3i300-1000000
χ782222-1-22-1202-1-1-1-1i3−i32-1-1-1-11-2-20000i3i3i3i3−i3−i3−i3−i3-21111-2211000−i3i300-1000000-2-2-2-212-21-20-21111−i3i3-21111-1220000−i3−i3−i3−i3i3i3i3i32-1-1-1-12-2-1-1000i3−i3001000000
χ79222-122-1222-12-1-1-122-12-1-1-12-122-1-1-12-1-1-12-1-1-1-12-1-1-1000002000200-1-100-10-2-2-21-2-21-2-2-21-2111-2-21-2111-21-2-2111-2111-21111-211100000-2000-200110010
χ80222-122-1222-12-1-1-122-12-1-1-12-122-1-1-12-1-1-12-1-1-1-12-1-1-100000-2000-200110010-2-2-21-2-21-2-2-21-2111-2-21-2111-21-2-2111-2111-21111-2111000002000200-1-100-10
χ81222-122-122-2-12-1-1-1-2-2-12-1-1-12-12-2111-2111-2111-12-1-1-1000002000-2001100-10-2-2-21-2-21-2-221-2111221-2111-21-22-1-1-12-1-1-12-1-1-11-211100000-2000200-1-10010
χ82222-122-122-2-12-1-1-1-2-2-12-1-1-12-12-2111-2111-2111-12-1-1-100000-2000200-1-10010-2-2-21-2-21-2-221-2111221-2111-21-22-1-1-12-1-1-12-1-1-11-2111000002000-2001100-10
χ8322-122222-12-1-12-1-122-1-12-1-122-1-12-1-1-12-1-1-12-1-1-1-12-1-100000020002000-1-10-1-2-21-2-2-2-2-21-211-211-2-211-211-2-211-2111-2111-21111-211000000-2000-20001101
χ8422-122222-12-1-12-1-122-1-12-1-122-1-12-1-1-12-1-1-12-1-1-1-12-1-1000000-2000-20001101-2-21-2-2-2-2-21-211-211-2-211-211-2-211-2111-2111-21111-21100000020002000-1-10-1
χ8522-122222-1-2-1-12-1-1-2-2-1-12-1-122-11-2111-2111-211-1-12-1-10000002000-2000110-1-2-21-2-2-2-2-21211-2112211-211-2-21-12-1-1-12-1-1-12-1-111-211000000-20002000-1-101
χ8622-122222-1-2-1-12-1-1-2-2-1-12-1-122-11-2111-2111-211-1-12-1-1000000-20002000-1-101-2-21-2-2-2-2-21211-2112211-211-2-21-12-1-1-12-1-1-12-1-111-2110000002000-2000110-1
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χ88444-2-24-2-244-2-2111-2-2-2-2111-2-244-2-2-2-2111-2111-2-2111000000000000000000-4-4-422-422-4-422-1-1-12222-1-1-122-4-42222-1-1-12-1-1-122-1-1-1000000000000000000
χ89444-2-24-2-24-4-2-211122-2-2111-2-24-42222-1-1-12-1-1-1-2-2111000000000000000000-4-4-422-422-4422-1-1-1-2-222-1-1-122-44-2-2-2-2111-211122-1-1-1000000000000000000
χ90444-2-2-4-2-240-2-2111−2i32i3-2-211122-40000−2i3i3i3i32i3−i3−i3−i322-1-1-1000000000000000000-4-4-422422-4022-1-1-12i3−2i322-1-1-1-2-2400002i3−i3−i3−i3−2i3i3i3i3-2-2111000000000000000000
χ91444-2-2-4-2-240-2-21112i3−2i3-2-211122-400002i3−i3−i3−i3−2i3i3i3i322-1-1-1000000000000000000-4-4-422422-4022-1-1-1−2i32i322-1-1-1-2-240000−2i3i3i3i32i3−i3−i3−i3-2-2111000000000000000000
χ9244-244-444-20-2-24-2-200-2-24-2-2-4-4200000000000022-422000000000000000000-4-42-4-44-4-42022-4220022-42244-2000000000000-2-24-2-2000000000000000000
χ9344-24-244-2-24-21-211-2-2-21-211-24-2-24-2-21-2111-211-21-211000000000000000000-4-42-42-4-422-42-12-1-1222-12-1-12-422-422-12-1-1-12-1-12-12-1-1000000000000000000
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χ9544-24-2-44-2-20-21-211−2i32i3-21-2112-420000i3−2i3i3i3−i32i3−i3−i32-12-1-1000000000000000000-4-42-424-42202-12-1-12i3−2i32-12-1-1-24-20000−i32i3−i3−i3i3−2i3i3i3-21-211000000000000000000
χ9644-24-2-44-2-20-21-2112i3−2i3-21-2112-420000−i32i3−i3−i3i3−2i3i3i32-12-1-1000000000000000000-4-42-424-42202-12-1-1−2i32i32-12-1-1-24-20000i3−2i3i3i3−i32i3−i3−i3-21-211000000000000000000
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χ10144-2-2-24-2-2-24111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-2-2-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32111−1−3i32−1+3i32000000000000000000-4-4222-4222-4-1-1-11+3i321−3i3222-1-1-11+3i321−3i3222222-1-1-1-11+3i321−3i32-1-11−3i321+3i32-1-1-11+3i321−3i32000000000000000000
χ10244-2-2-24-2-2-24111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-2-2-2-21111−1+3i32−1−3i3211−1−3i32−1+3i32111−1+3i32−1−3i32000000000000000000-4-4222-4222-4-1-1-11−3i321+3i3222-1-1-11−3i321+3i3222222-1-1-1-11−3i321+3i32-1-11+3i321−3i32-1-1-11−3i321+3i32000000000000000000
χ10344-2-2-24-2-2-2-4111−1−3i32−1+3i3222111−1−3i32−1+3i32-2-2-222-1-1-1-11+3i321−3i32-1-11−3i321+3i32111−1−3i32−1+3i32000000000000000000-4-4222-42224-1-1-11+3i321−3i32-2-2-1-1-11+3i321−3i32222-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32-1-1-11+3i321−3i32000000000000000000
χ10444-2-2-24-2-2-2-4111−1+3i32−1−3i3222111−1+3i32−1−3i32-2-2-222-1-1-1-11−3i321+3i32-1-11+3i321−3i32111−1+3i32−1−3i32000000000000000000-4-4222-42224-1-1-11−3i321+3i32-2-2-1-1-11−3i321+3i32222-2-21111−1+3i32−1−3i3211−1−3i32−1+3i32-1-1-11−3i321+3i32000000000000000000
χ10544-2-2-2-4-2-2-20111−1−3i32−1+3i32−2i32i3111−1−3i32−1+3i32222003-3i3i3−3−i323−i32−i3−i3−3+i323+i32-1-1-11+3i321−3i32000000000000000000-4-422242220-1-1-11+3i321−3i322i3−2i3-1-1-11+3i321−3i32-2-2-200-33−i3−i33+i32−3+i32i3i33−i32−3−i32111−1−3i32−1+3i32000000000000000000
χ10644-2-2-2-4-2-2-20111−1−3i32−1+3i322i3−2i3111−1−3i32−1+3i3222200-33−i3−i33+i32−3+i32i3i33−i32−3−i32-1-1-11+3i321−3i32000000000000000000-4-422242220-1-1-11+3i321−3i32−2i32i3-1-1-11+3i321−3i32-2-2-2003-3i3i3−3−i323−i32−i3−i3−3+i323+i32111−1−3i32−1+3i32000000000000000000
χ10744-2-2-2-4-2-2-20111−1+3i32−1−3i32−2i32i3111−1+3i32−1−3i3222200-33i3i33−i32−3−i32−i3−i33+i32−3+i32-1-1-11−3i321+3i32000000000000000000-4-422242220-1-1-11−3i321+3i322i3−2i3-1-1-11−3i321+3i32-2-2-2003-3−i3−i3−3+i323+i32i3i3−3−i323−i32111−1+3i32−1−3i32000000000000000000
χ10844-2-2-2-4-2-2-20111−1+3i32−1−3i322i3−2i3111−1+3i32−1−3i32222003-3−i3−i3−3+i323+i32i3i3−3−i323−i32-1-1-11−3i321+3i32000000000000000000-4-422242220-1-1-11−3i321+3i32−2i32i3-1-1-11−3i321+3i32-2-2-200-33i3i33−i32−3−i32−i3−i33+i32−3+i32111−1+3i32−1−3i32000000000000000000
χ1094-44440-4-4-404444400-4-4-4-4-400000000000000000000000000000000000000-44-4-4-404440-4-4-4-4-4004444400000000000000000000000000000000000000
χ1104-444-20-42-404-2-2-2-200-422220000000000000000000000−2i32i300000000000000-44-4-4204-240-42222004-2-2-2-200000000000000000000002i3−2i300000000000000
χ1114-444-20-42-404-2-2-2-200-4222200000000000000000000002i3−2i300000000000000-44-4-4204-240-42222004-2-2-2-20000000000000000000000−2i32i300000000000000
χ1124-44-2402-4-40-24-2-2-2002-422200000000000000000000000000000000i6−i60000-44-42-40-24402-422200-24-2-2-200000000000000000000000000000000−i6i60000
χ1134-44-2402-4-40-24-2-2-2002-422200000000000000000000000000000000−i6i60000-44-42-40-24402-422200-24-2-2-200000000000000000000000000000000i6−i60000
χ1144-4-2440-4-420-2-24-2-20022-42200000000000000000000000000000000006−600-442-4-4044-2022-42200-2-24-2-20000000000000000000000000000000000−6600
χ1154-4-2440-4-420-2-24-2-20022-4220000000000000000000000000000000000−6600-442-4-4044-2022-42200-2-24-2-200000000000000000000000000000000006−600
χ1168-88-4-4044-80-4-42220044-2-2-200000000000000000000000000000000000000-88-8440-4-48044-2-2-200-4-422200000000000000000000000000000000000000
χ1178-8-48-40-8440-42-422004-24-2-200000000000000000000000000000000000000-884-8408-4-404-24-2-200-42-42200000000000000000000000000000000000000
χ1188-8-4-4804-8402-4-42200-244-2-200000000000000000000000000000000000000-8844-80-48-40-244-2-2002-4-42200000000000000000000000000000000000000
χ1198-8-4-4-404440222−1−3i3−1+3i300-2-2-21+3i31−3i300000000000000000000000000000000000000-884440-4-4-40-2-2-21+3i31−3i300222−1−3i3−1+3i300000000000000000000000000000000000000
χ1208-8-4-4-404440222−1+3i3−1−3i300-2-2-21−3i31+3i300000000000000000000000000000000000000-884440-4-4-40-2-2-21−3i31+3i300222−1+3i3−1−3i300000000000000000000000000000000000000

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