Finite Group Databasebeta

← Group #13178660

Character table — Group #13178660

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ4111111111111111111111111111111111111111111-1-1-1-1-11-1-1-11-1-1-1-111-11111111111111111111111111111111111111111111-1-1-1-1-11-1-1-11-1-1-1-111-11
χ5111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-111111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-111
χ6111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111-1-11111-1-1111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111-1-11111-1-1
χ7111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-11-1-1111-1-1111-1111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-11-1-1111-1-1111-1
χ8111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-11-11111-1-1-11111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-11-11111-1-1-11
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χ732222-122-12-22-1-1-1-1-2-22-1-1-1-122-1-21-2-2111111112-1-1-1-1000002000-20000110-1-2-2-2-21-2-21-22-2111122-21111-2-212-122-1-1-1-1-1-1-1-1-2111100000-200020000-1-101
χ742222-122-12-22-1-1-1-1-2-22-1-1-1-122-1-21-2-2111111112-1-1-1-100000-200020000-1-101-2-2-2-21-2-21-22-2111122-21111-2-212-122-1-1-1-1-1-1-1-1-21111000002000-20000110-1
χ75222-122-1222-12-1-1-122-12-1-1-12-12-12-1-122-1-1-1-1-1-1-12-1-1-1000020002000-1-100-10-2-2-21-2-21-2-2-21-2111-2-21-2111-21-21-211-2-21111111-21110000-2000-2000110010
χ76222-122-1222-12-1-1-122-12-1-1-12-12-12-1-122-1-1-1-1-1-1-12-1-1-10000-2000-2000110010-2-2-21-2-21-2-2-21-2111-2-21-2111-21-21-211-2-21111111-2111000020002000-1-100-10
χ77222-122-122-2-12-1-1-1-2-2-12-1-1-12-121-211-2-2111111-12-1-1-100002000-20001100-10-2-2-21-2-21-2-221-2111221-2111-21-2-12-1-122-1-1-1-1-1-11-21110000-20002000-1-10010
χ78222-122-122-2-12-1-1-1-2-2-12-1-1-12-121-211-2-2111111-12-1-1-10000-20002000-1-10010-2-2-21-2-21-2-221-2111221-2111-21-2-12-1-122-1-1-1-1-1-11-211100002000-20001100-10
χ7922-122222-12-1-12-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-12-1-122-1-1002-100-1-1000000-2-21-2-2-2-2-21-211-2111111-2111-2-2-2-21111-2-2111111-211-2-21100-210011000000
χ8022-122222-12-1-12-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-2-21100-210011000000-2-21-2-2-2-2-21-211-2111111-2111-2-2-2-21111-2-2111111-21122-1-1002-100-1-1000000
χ8122-122222-1-2-1-12-1-111-1-12-1-1-122-2-21111-2-21111-1-12-1-122-1-100-2-10011000000-2-21-2-2-2-2-21211-211-1-111-2111-2-222-1-1-1-122-1-1-1-111-211-2-211002100-1-1000000
χ8222-122222-1-2-1-12-1-111-1-12-1-1-122-2-21111-2-21111-1-12-1-1-2-211002100-1-1000000-2-21-2-2-2-2-21211-211-1-111-2111-2-222-1-1-1-122-1-1-1-111-21122-1-100-2-10011000000
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χ8422-122-222-10-1-12-1-1−i3i3-1-12-1-11-2-200−i3i3−i3i300−i3−i3i3i311-211-22-1-1000100i3−i3000000-2-21-2-22-2-21011-211i3−i311-211-12200i3−i3i3−i300i3i3−i3−i3-1-12-1-12-211000-100−i3i3000000
χ8522-122-222-10-1-12-1-1i3−i3-1-12-1-11-2-200i3−i3i3−i300i3i3−i3−i311-2112-211000-100i3−i3000000-2-21-2-22-2-21011-211−i3i311-211-12200−i3i3−i3i300−i3−i3i3i3-1-12-1-1-22-1-1000100−i3i3000000
χ8622-122-222-10-1-12-1-1i3−i3-1-12-1-11-2-200i3−i3i3−i300i3i3−i3−i311-211-22-1-1000100−i3i3000000-2-21-2-22-2-21011-211−i3i311-211-12200−i3i3−i3i300−i3−i3i3i3-1-12-1-12-211000-100i3−i3000000
χ874444-2-44-2404-2-2-2-2004-2-2-2-2-4-42000000000000-42222000000000000000000-4-4-4-424-42-40-4222200-4222244-20000000000004-2-2-2-2000000000000000000
χ88444-24-4-2440-24-2-2-200-24-2-2-2-42-40000000000002-4222000000000000000000-4-4-42-442-4-402-4222002-42224-24000000000000-24-2-2-2000000000000000000
χ89444-2-24-2-244-2-211144-2-21114-2-2-2-2-2-2-2-2111111-2-2111000000000000000000-4-4-422-422-4-422-1-1-1-4-422-1-1-1-422222222-1-1-1-1-1-122-1-1-1000000000000000000
χ90444-2-24-2-24-4-2-2111-4-4-2-21114-2-2222222-1-1-1-1-1-1-2-2111000000000000000000-4-4-422-422-4422-1-1-14422-1-1-1-422-2-2-2-2-2-211111122-1-1-1000000000000000000
χ91444-2-2-4-2-240-2-211100-2-2111-4220000003-33-33-322-1-1-1000000000000000000-4-4-422422-4022-1-1-10022-1-1-14-2-2000000-33-33-33-2-2111000000000000000000
χ92444-2-2-4-2-240-2-211100-2-2111-422000000-33-33-3322-1-1-1000000000000000000-4-4-422422-4022-1-1-10022-1-1-14-2-20000003-33-33-3-2-2111000000000000000000
χ9344-24-244-2-24-21-211-2-2-21-211-24-24-2-2-211-2-21111-21-211000000000000000000-4-42-42-4-422-42-12-1-1222-12-1-12-42-4222-1-122-1-1-1-12-12-1-1000000000000000000
χ9444-24-244-2-2-4-21-21122-21-211-24-2-4222-1-122-1-1-1-1-21-211000000000000000000-4-42-42-4-42242-12-1-1-2-22-12-1-12-424-2-2-211-2-211112-12-1-1000000000000000000
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χ9744-2-244-24-241-2-211-2-21-2-211-2-24-2411-2-2-2-211111-2-211000000000000000000-4-422-4-42-42-4-122-1-122-122-1-122-42-4-1-12222-1-1-1-1-122-1-1000000000000000000
χ9844-2-244-24-2-41-2-211221-2-211-2-242-4-1-12222-1-1-1-11-2-211000000000000000000-4-422-4-42-424-122-1-1-2-2-122-1-122-4-2411-2-2-2-21111-122-1-1000000000000000000
χ9944-2-24-4-24-201-2-211−2i32i31-2-21122-400i3−i3−2i32i300i3i3−i3−i3-122-1-1000000000000000000-4-422-442-420-122-1-12i3−2i3-122-1-1-2-2400−i3i32i3−2i300−i3−i3i3i31-2-211000000000000000000
χ10044-2-24-4-24-201-2-2112i3−2i31-2-21122-400−i3i32i3−2i300−i3−i3i3i3-122-1-1000000000000000000-4-422-442-420-122-1-1−2i32i3-122-1-1-2-2400i3−i3−2i32i300i3i3−i3−i31-2-211000000000000000000
χ10144-2-2-24-2-2-24111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-2-2-2-2111111−1−3i32−1+3i32−1+3i32−1−3i32111−1−3i32−1+3i32000000000000000000-4-4222-4222-4-1-1-11+3i321−3i3222-1-1-11+3i321−3i3222222-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-11+3i321−3i32000000000000000000
χ10244-2-2-24-2-2-24111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-2-2-2-2111111−1+3i32−1−3i32−1−3i32−1+3i32111−1+3i32−1−3i32000000000000000000-4-4222-4222-4-1-1-11−3i321+3i3222-1-1-11−3i321+3i3222222-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-1-11−3i321+3i32000000000000000000
χ10344-2-2-24-2-2-2-4111−1−3i32−1+3i3222111−1−3i32−1+3i32-2-2-222-1-1-1-1-1-11+3i321−3i321−3i321+3i32111−1−3i32−1+3i32000000000000000000-4-4222-42224-1-1-11+3i321−3i32-2-2-1-1-11+3i321−3i32222-2-2111111−1−3i32−1+3i32−1+3i32−1−3i32-1-1-11+3i321−3i32000000000000000000
χ10444-2-2-24-2-2-2-4111−1+3i32−1−3i3222111−1+3i32−1−3i32-2-2-222-1-1-1-1-1-11−3i321+3i321+3i321−3i32111−1+3i32−1−3i32000000000000000000-4-4222-42224-1-1-11−3i321+3i32-2-2-1-1-11−3i321+3i32222-2-2111111−1+3i32−1−3i32−1−3i32−1+3i32-1-1-11−3i321+3i32000000000000000000
χ10544-2-2-2-4-2-2-20111−1−3i32−1+3i32−2i32i3111−1−3i32−1+3i3222200i3−i3i3−i33-3−3−i323−i32−3+i323+i32-1-1-11+3i321−3i32000000000000000000-4-422242220-1-1-11+3i321−3i322i3−2i3-1-1-11+3i321−3i32-2-2-200−i3i3−i3i3-333+i32−3+i323−i32−3−i32111−1−3i32−1+3i32000000000000000000
χ10644-2-2-2-4-2-2-20111−1−3i32−1+3i322i3−2i3111−1−3i32−1+3i3222200−i3i3−i3i3-333+i32−3+i323−i32−3−i32-1-1-11+3i321−3i32000000000000000000-4-422242220-1-1-11+3i321−3i32−2i32i3-1-1-11+3i321−3i32-2-2-200i3−i3i3−i33-3−3−i323−i32−3+i323+i32111−1−3i32−1+3i32000000000000000000
χ10744-2-2-2-4-2-2-20111−1+3i32−1−3i32−2i32i3111−1+3i32−1−3i3222200i3−i3i3−i3-333−i32−3−i323+i32−3+i32-1-1-11−3i321+3i32000000000000000000-4-422242220-1-1-11−3i321+3i322i3−2i3-1-1-11−3i321+3i32-2-2-200−i3i3−i3i33-3−3+i323+i32−3−i323−i32111−1+3i32−1−3i32000000000000000000
χ10844-2-2-2-4-2-2-20111−1+3i32−1−3i322i3−2i3111−1+3i32−1−3i3222200−i3i3−i3i33-3−3+i323+i32−3−i323−i32-1-1-11−3i321+3i32000000000000000000-4-422242220-1-1-11−3i321+3i32−2i32i3-1-1-11−3i321+3i32-2-2-200i3−i3i3−i3-333−i32−3−i323+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
χ1104-444-20-42-404-2-2-2-200-422220000000000000000000000000000000000i6−i600-44-4-4204-240-42222004-2-2-2-20000000000000000000000000000000000−i6i600
χ1114-444-20-42-404-2-2-2-200-422220000000000000000000000000000000000−i6i600-44-4-4204-240-42222004-2-2-2-20000000000000000000000000000000000i6−i600
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
χ1144-4-2440-4-420-2-24-2-20022-422000000000000000000000023−2300000000000000-442-4-4044-2022-42200-2-24-2-20000000000000000000000−232300000000000000
χ1154-4-2440-4-420-2-24-2-20022-4220000000000000000000000−232300000000000000-442-4-4044-2022-42200-2-24-2-2000000000000000000000023−2300000000000000
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).