Finite Group Databasebeta

← Group #13178701

Character table — Group #13178701

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-11-1111-1-1-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-111-11-1111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-111-1-1-1-11-1-1-1-1-111-1-11-1111111111111111111111111111111111111111111-1-1-111-1-1-1-11-1-1-1-1-111-1-11-1
χ4111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-1-1-1-111-11111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-1-1-1-111-11
χ5111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-11111-1-1111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-11111-1-1
χ6111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-111-1-1-1-1-1-111111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-111-1-1-1-1-1-111
χ7111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-111-11111-1-1-11111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-111-11111-1-1-11
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χ69111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1111111-1-1
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χ71111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111111-1-111-1-111-1-111-1-1-11
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χ7322222-22220222220022222-2-2-2000000000000-2-2-2-2-2-2-220000-2-2000200000000-2-2-2-2-22-2-2-20-2-2-2-2-200-2-2-2-2-22220000000000002222222-2000022000-200000000
χ742222-12-12222-1-1-1-1222-1-1-1-12-122-122-1-1-1-1-1-1-1-12-1-1-1-1000220000200000-1-100-10-2-2-2-21-21-2-2-2-21111-2-2-21111-21-2-21-2-211111111-21111000-2-20000-200000110010
χ752222-12-12222-1-1-1-1222-1-1-1-12-122-122-1-1-1-1-1-1-1-12-1-1-1-1000-2-20000-200000110010-2-2-2-21-21-2-2-2-21111-2-2-21111-21-2-21-2-211111111-21111000220000200000-1-100-10
χ762222-12-122-22-1-1-1-1-2-22-1-1-1-12-12-21-2-2111111112-1-1-1-1000220000-200000-1-10010-2-2-2-21-21-2-22-2111122-21111-21-22-122-1-1-1-1-1-1-1-1-21111000-2-200002000001100-10
χ772222-12-122-22-1-1-1-1-2-22-1-1-1-12-12-21-2-2111111112-1-1-1-1000-2-200002000001100-10-2-2-2-21-21-2-22-2111122-21111-21-22-122-1-1-1-1-1-1-1-1-21111000220000-200000-1-10010
χ78222-12222-12-12-1-1-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12220000-1-1020-1-1-1000000-2-2-21-2-2-2-21-21-2111111-21111-2-2-2-211-2-21111111-2111-2-2-20000110-20111000000
χ79222-12222-12-12-1-1-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-2-2-20000110-20111000000-2-2-21-2-2-2-21-21-2111111-21111-2-2-2-211-2-21111111-21112220000-1-1020-1-1-1000000
χ80222-12222-1-2-12-1-1-111-12-1-1-1-122-2-211-2-2111111-12-1-1-12220000-1-10-20-111000000-2-2-21-2-2-2-2121-2111-1-11-21111-2-222-1-122-1-1-1-1-1-11-2111-2-2-20000110201-1-1000000
χ81222-12222-1-2-12-1-1-111-12-1-1-1-122-2-211-2-2111111-12-1-1-1-2-2-20000110201-1-1000000-2-2-21-2-2-2-2121-2111-1-11-21111-2-222-1-122-1-1-1-1-1-11-21112220000-1-10-20-111000000
χ82222-12-222-10-12-1-1-1−i3i3-12-1-1-11-2-200−i3i300−i3−i3−i3i3i3i31-211122-20000-1-10001−i3i3000000-2-2-21-22-2-2101-2111i3−i31-2111-12200i3−i300i3i3i3−i3−i3−i3-12-1-1-1-2-22000011000-1i3−i3000000
χ83222-12-222-10-12-1-1-1−i3i3-12-1-1-11-2-200−i3i300−i3−i3−i3i3i3i31-2111-2-22000011000-1i3−i3000000-2-2-21-22-2-2101-2111i3−i31-2111-12200i3−i300i3i3i3−i3−i3−i3-12-1-1-122-20000-1-10001−i3i3000000
χ84222-12-222-10-12-1-1-1i3−i3-12-1-1-11-2-200i3−i300i3i3i3−i3−i3−i31-211122-20000-1-10001i3−i3000000-2-2-21-22-2-2101-2111−i3i31-2111-12200−i3i300−i3−i3−i3i3i3i3-12-1-1-1-2-22000011000-1−i3i3000000
χ85222-12-222-10-12-1-1-1i3−i3-12-1-1-11-2-200i3−i300i3i3i3−i3−i3−i31-2111-2-22000011000-1−i3i3000000-2-2-21-22-2-2101-2111−i3i31-2111-12200−i3i300−i3−i3−i3i3i3i3-12-1-1-122-20000-1-10001i3−i3000000
χ8622-12222-122-1-12-1-122-1-12-1-122-1-12-1-1-1-12-1-12-1-1-1-12-1-100000220000200000-1-10-1-2-21-2-2-2-21-2-211-211-2-211-211-2-211-21111-211-21111-21100000-2-20000-2000001101
χ8722-12222-122-1-12-1-122-1-12-1-122-1-12-1-1-1-12-1-12-1-1-1-12-1-100000-2-20000-2000001101-2-21-2-2-2-21-2-211-211-2-211-211-2-211-21111-211-21111-21100000220000200000-1-10-1
χ8822-12222-12-2-1-12-1-1-2-2-1-12-1-122-11-21111-211-211-1-12-1-100000220000-200000-1-101-2-21-2-2-2-21-2211-2112211-211-2-21-12-1-1-1-12-1-12-1-111-21100000-2-20000200000110-1
χ8922-12222-12-2-1-12-1-1-2-2-1-12-1-122-11-21111-211-211-1-12-1-100000-2-20000200000110-1-2-21-2-2-2-21-2211-2112211-211-2-21-12-1-1-1-12-1-12-1-111-21100000220000-200000-1-101
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χ912-22220-2-2-202222200-2-2-2-2-2000000000000000000002i−2i0−22i2−i22i−2i000000−22i2−i200-22-2-2-202220-2-2-2-2-2002222200000000000000000000−2i2i02−2−i2i2−2i2i0000002−2−i2i200
χ922-22220-2-2-202222200-2-2-2-2-200000000000000000000−2i2i02−2i2−i2−2i2i0000002−2i2−i200-22-2-2-202220-2-2-2-2-20022222000000000000000000002i−2i0−22−i2i22i−2i000000−22−i2i200
χ932-22220-2-2-202222200-2-2-2-2-200000000000000000000−2i2i0−22−i2i2−2i2i000000−22−i2i200-22-2-2-202220-2-2-2-2-20022222000000000000000000002i−2i02−2i2−i22i−2i0000002−2i2−i200
χ944444-2-4-24404-2-2-2-2004-2-2-2-2-42-4000000000000-42222000000000000000000000-4-4-4-4242-4-40-4222200-422224-240000000000004-2-2-2-2000000000000000000000
χ95444-2-24-24-24-2-2111-2-2-2-2111-2-244-2-2-2-2-2111111-2-2111000000000000000000000-4-4-422-42-42-422-1-1-12222-1-1-122-4-422222-1-1-1-1-1-122-1-1-1000000000000000000000
χ96444-2-24-24-2-4-2-211122-2-2111-2-24-422222-1-1-1-1-1-1-2-2111000000000000000000000-4-4-422-42-42422-1-1-1-2-222-1-1-122-44-2-2-2-2-211111122-1-1-1000000000000000000000
χ97444-2-2-4-24-20-2-2111−2i32i3-2-211122-400−2i32i300i3i3i3−i3−i3−i322-1-1-1000000000000000000000-4-4-42242-42022-1-1-12i3−2i322-1-1-1-2-24002i3−2i300−i3−i3−i3i3i3i3-2-2111000000000000000000000
χ98444-2-2-4-24-20-2-21112i3−2i3-2-211122-4002i3−2i300−i3−i3−i3i3i3i322-1-1-1000000000000000000000-4-4-42242-42022-1-1-1−2i32i322-1-1-1-2-2400−2i32i300i3i3i3−i3−i3−i3-2-2111000000000000000000000
χ9944-244-44-240-2-24-2-200-2-24-2-2-4-4200000000000022-422000000000000000000000-4-42-4-44-42-4022-4220022-42244-2000000000000-2-24-2-2000000000000000000000
χ10044-24-24-2-244-21-21144-21-2114-2-2-2-2-2-211-211-211-21-211000000000000000000000-4-42-42-422-4-42-12-1-1-4-42-12-1-1-4222222-1-12-1-12-1-12-12-1-1000000000000000000000
χ10144-24-24-2-24-4-21-211-4-4-21-2114-2-22222-1-12-1-12-1-1-21-211000000000000000000000-4-42-42-422-442-12-1-1442-12-1-1-422-2-2-2-211-211-2112-12-1-1000000000000000000000
χ10244-24-2-4-2-240-21-21100-21-211-42200003-303-303-32-12-1-1000000000000000000000-4-42-42422-402-12-1-1002-12-1-14-2-20000-330-330-33-21-211000000000000000000000
χ10344-24-2-4-2-240-21-21100-21-211-4220000-330-330-332-12-1-1000000000000000000000-4-42-42422-402-12-1-1002-12-1-14-2-200003-303-303-3-21-211000000000000000000000
χ10444-2-2444-2-241-2-211-2-21-2-211-24-2-2411-2-2-211-2111-2-211000000000000000000000-4-422-4-4-422-4-122-1-122-122-1-12-422-4-1-1222-1-12-1-1-122-1-1000000000000000000000
χ10544-2-2444-2-2-41-2-211221-2-211-24-22-4-1-1222-1-12-1-11-2-211000000000000000000000-4-422-4-4-4224-122-1-1-2-2-122-1-12-42-2411-2-2-211-211-122-1-1000000000000000000000
χ10644-2-24-44-2-201-2-211−2i32i31-2-2112-4200i3−i300−2i3i3i32i3−i3−i3-122-1-1000000000000000000000-4-422-44-4220-122-1-12i3−2i3-122-1-1-24-200−i3i3002i3−i3−i3−2i3i3i31-2-211000000000000000000000
χ10744-2-24-44-2-201-2-2112i3−2i31-2-2112-4200−i3i3002i3−i3−i3−2i3i3i3-122-1-1000000000000000000000-4-422-44-4220-122-1-1−2i32i3-122-1-1-24-200i3−i300−2i3i3i32i3−i3−i31-2-211000000000000000000000
χ10844-2-2-24-2-2-24111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-2-2-2-211111−1−3i32−1+3i321−1+3i32−1−3i32111−1−3i32−1+3i32000000000000000000000-4-4222-4222-4-1-1-11+3i321−3i3222-1-1-11+3i321−3i3222222-1-1-1-1-11+3i321−3i32-11−3i321+3i32-1-1-11+3i321−3i32000000000000000000000
χ10944-2-2-24-2-2-24111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-2-2-2-211111−1+3i32−1−3i321−1−3i32−1+3i32111−1+3i32−1−3i32000000000000000000000-4-4222-4222-4-1-1-11−3i321+3i3222-1-1-11−3i321+3i3222222-1-1-1-1-11−3i321+3i32-11+3i321−3i32-1-1-11−3i321+3i32000000000000000000000
χ11044-2-2-24-2-2-2-4111−1−3i32−1+3i3222111−1−3i32−1+3i32-2-2-222-1-1-1-1-11+3i321−3i32-11−3i321+3i32111−1−3i32−1+3i32000000000000000000000-4-4222-42224-1-1-11+3i321−3i32-2-2-1-1-11+3i321−3i32222-2-211111−1−3i32−1+3i321−1+3i32−1−3i32-1-1-11+3i321−3i32000000000000000000000
χ11144-2-2-24-2-2-2-4111−1+3i32−1−3i3222111−1+3i32−1−3i32-2-2-222-1-1-1-1-11−3i321+3i32-11+3i321−3i32111−1+3i32−1−3i32000000000000000000000-4-4222-42224-1-1-11−3i321+3i32-2-2-1-1-11−3i321+3i32222-2-211111−1+3i32−1−3i321−1−3i32−1+3i32-1-1-11−3i321+3i32000000000000000000000
χ11244-2-2-2-4-2-2-20111−1−3i32−1+3i32−2i32i3111−1−3i32−1+3i3222200i3−i33-3i3−3−i323−i32−i3−3+i323+i32-1-1-11+3i321−3i32000000000000000000000-4-422242220-1-1-11+3i321−3i322i3−2i3-1-1-11+3i321−3i32-2-2-200−i3i3-33−i33+i32−3+i32i33−i32−3−i32111−1−3i32−1+3i32000000000000000000000
χ11344-2-2-2-4-2-2-20111−1−3i32−1+3i322i3−2i3111−1−3i32−1+3i3222200−i3i3-33−i33+i32−3+i32i33−i32−3−i32-1-1-11+3i321−3i32000000000000000000000-4-422242220-1-1-11+3i321−3i32−2i32i3-1-1-11+3i321−3i32-2-2-200i3−i33-3i3−3−i323−i32−i3−3+i323+i32111−1−3i32−1+3i32000000000000000000000
χ11444-2-2-2-4-2-2-20111−1+3i32−1−3i32−2i32i3111−1+3i32−1−3i3222200i3−i3-33i33−i32−3−i32−i33+i32−3+i32-1-1-11−3i321+3i32000000000000000000000-4-422242220-1-1-11−3i321+3i322i3−2i3-1-1-11−3i321+3i32-2-2-200−i3i33-3−i3−3+i323+i32i3−3−i323−i32111−1+3i32−1−3i32000000000000000000000
χ11544-2-2-2-4-2-2-20111−1+3i32−1−3i322i3−2i3111−1+3i32−1−3i3222200−i3i33-3−i3−3+i323+i32i3−3−i323−i32-1-1-11−3i321+3i32000000000000000000000-4-422242220-1-1-11−3i321+3i32−2i32i3-1-1-11−3i321+3i32-2-2-200i3−i3-33i33−i32−3−i32−i33+i32−3+i32111−1+3i32−1−3i32000000000000000000000
χ1164-444-202-4-404-2-2-2-200-422220000000000000000000000022−220000000000−220000-44-4-420-2440-42222004-2-2-2-200000000000000000000000−222200000000002−20000
χ1174-444-202-4-404-2-2-2-200-4222200000000000000000000000−222200000000002−20000-44-4-420-2440-42222004-2-2-2-20000000000000000000000022−220000000000−220000
χ1184-44-240-4-420-24-2-2-2002-4222000000000000000000004i−4i00000−2i2i000000000000-44-42-4044-202-422200-24-2-2-200000000000000000000−4i4i000002i−2i000000000000
χ1194-44-240-4-420-24-2-2-2002-422200000000000000000000−4i4i000002i−2i000000000000-44-42-4044-202-422200-24-2-2-2000000000000000000004i−4i00000−2i2i000000000000
χ1204-4-2440-42-40-2-24-2-20022-4220000000000000000000000000−2i22i20000000000i2−i200-442-4-404-24022-42200-2-24-2-200000000000000000000000002i2−2i20000000000−i2i200
χ1214-4-2440-42-40-2-24-2-20022-42200000000000000000000000002i2−2i20000000000−i2i200-442-4-404-24022-42200-2-24-2-20000000000000000000000000−2i22i20000000000i2−i200
χ1228-88-4-404-840-4-42220044-2-2-200000000000000000000000000000000000000000-88-8440-48-4044-2-2-200-4-422200000000000000000000000000000000000000000
χ1238-8-48-4044-80-42-422004-24-2-200000000000000000000000000000000000000000-884-840-4-4804-24-2-200-42-42200000000000000000000000000000000000000000
χ1248-8-4-480-84402-4-42200-244-2-200000000000000000000000000000000000000000-8844-808-4-40-244-2-2002-4-42200000000000000000000000000000000000000000
χ1258-8-4-4-404440222−1−3i3−1+3i300-2-2-21+3i31−3i300000000000000000000000000000000000000000-884440-4-4-40-2-2-21+3i31−3i300222−1−3i3−1+3i300000000000000000000000000000000000000000
χ1268-8-4-4-404440222−1+3i3−1−3i300-2-2-21−3i31+3i300000000000000000000000000000000000000000-884440-4-4-40-2-2-21−3i31+3i300222−1+3i3−1−3i300000000000000000000000000000000000000000

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