Finite Group Databasebeta

← Group #13177715

Character table — Group #13177715

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
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χ4111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11
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χ73111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1111-11-1
χ741111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111
χ751111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1111-1-1
χ761111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111111111-1-1-1-1-1-1111-1-111-1
χ771111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-11
χ782222222-222222022222222-2-2-2-2-2000000000000000-2-2-2-200000000000000022000-200-2-2-2-2-2-2-22-2-2-2-2-20-2-2-2-2-2-2-2-2222220000000000000002222000000000000000-2-2000200
χ792222222-222222022222222-2-2-2-2-2000000000000000-2-2-2-2000000000000000-2-2000200-2-2-2-2-2-2-22-2-2-2-2-20-2-2-2-2-2-2-2-222222000000000000000222200000000000000022000-200
χ802222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1002-1-1-100000000-2-2-2-2111-2-2111-2-2-2111-2111-2111-2-2-2-2-2111-2-2111111-2111-2-2-211111100-211100000000
χ812222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-2-222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-211111100-211100000000-2-2-2-2111-2-2111-2-2-2111-2111-2111-222-2-2111-2-2111111-2111222-1-1-1-1-1-1002-1-1-100000000
χ822222-1-1-122-1-1-12-22-1-1-12-1-1-12-1-1-1222-2-2111-2-21111112-1-1-1-222-1-1-1-1-1-100-211100000000-2-2-2-2111-2-2111-22-2111-2111-2111-2-2-222-1-1-122-1-1-1-1-1-1-21112-2-2111111002-1-1-100000000
χ832222-1-1-122-1-1-12-22-1-1-12-1-1-12-1-1-12-2-2-2-2111-2-21111112-1-1-12-2-2111111002-1-1-100000000-2-2-2-2111-2-2111-22-2111-2111-2111-22222-1-1-122-1-1-1-1-1-1-2111-222-1-1-1-1-1-100-211100000000
χ84222-12-1-12-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-100-12-1-100000000-2-2-21-211-21-211-2-21-2111-2111-211-2-2-2-21-21111-2-211111-211-211-2-21111001-21100000000
χ85222-12-1-12-12-1-122-12-1-1-12-1-1-12-1-12-2-22-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111001-21100000000-2-2-21-211-21-211-2-21-2111-2111-211-222-21-21111-2-211111-2112-1-122-1-1-1-100-12-1-100000000
χ86222-12-1-12-12-1-12-2-12-1-1-12-1-1-12-1-1222-21-21111-2-21111-12-1-1-2-1-122-1-1-1-1001-21100000000-2-2-21-211-21-211-221-2111-2111-211-2-2-22-12-1-1-1-122-1-1-1-11-211211-2-2111100-12-1-100000000
χ87222-12-1-12-12-1-12-2-12-1-1-12-1-1-12-1-12-2-2-21-21111-2-21111-12-1-1211-2-2111100-12-1-100000000-2-2-21-211-21-211-221-2111-2111-211-2222-12-1-1-1-122-1-1-1-11-211-2-1-122-1-1-1-1001-21100000000
χ88222-1-12-12-1-12-122-1-12-1-1-12-1-1-12-12222-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-100-1-12-100000000-2-2-211-21-211-21-2-211-2111-2111-21-2-2-2-211-211111-2-21111-21-21111-2-2110011-2100000000
χ89222-1-12-12-1-12-122-1-12-1-1-12-1-1-12-12-2-22-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-2110011-2100000000-2-2-211-21-211-21-2-211-2111-2111-21-222-211-211111-2-21111-212-1-1-1-122-1-100-1-12-100000000
χ90222-1-12-12-1-12-12-2-1-12-1-1-12-1-1-12-1222-211-211111-2-211-1-12-1-2-1-1-1-122-1-10011-2100000000-2-2-211-21-211-21-2211-2111-2111-21-2-2-22-1-12-1-1-1-1-122-1-111-2121111-2-21100-1-12-100000000
χ91222-1-12-12-1-12-12-2-1-12-1-1-12-1-1-12-12-2-2-211-211111-2-211-1-12-121111-2-21100-1-12-100000000-2-2-211-21-211-21-2211-2111-2111-21-2222-1-12-1-1-1-1-122-1-111-21-2-1-1-1-122-1-10011-2100000000
χ92222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12200-1-1-1200000000-2-2-2111-2-2111-2-2-2111-2111-2111-2-2-2-2-2111-2111111-2-2111-2-2111111-2-200111-200000000
χ93222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-122-2-22-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-200111-200000000-2-2-2111-2-2111-2-2-2111-2111-2111-2-222-2111-2111111-2-2111-22-1-1-1-1-1-12200-1-1-1200000000
χ94222-1-1-122-1-1-122-2-1-1-12-1-1-12-1-1-12222-2111-2111111-2-2-1-1-12-2-1-1-1-1-1-12200111-200000000-2-2-2111-2-2111-2-22111-2111-2111-2-2-2-22-1-1-12-1-1-1-1-1-122111-22111111-2-200-1-1-1200000000
χ95222-1-1-122-1-1-122-2-1-1-12-1-1-12-1-1-122-2-2-2111-2111111-2-2-1-1-122111111-2-200-1-1-1200000000-2-2-2111-2-2111-2-22111-2111-2111-2-2222-1-1-12-1-1-1-1-1-122111-2-2-1-1-1-1-1-12200111-200000000
χ9622-1222222222-12-1-1-1-1-1-1-1-12222-100-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000220000002-1-10-10-2-21-2-2-2-2-2-2-2-2-21-211111111-2-2-2-21001-2-2-2-2111111111111000000000-2-2000000-211010
χ9722-1222222222-12-1-1-1-1-1-1-1-12222-100-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2000000-211010-2-21-2-2-2-2-2-2-2-2-21-211111111-2-2-2-21001-2-2-2-2111111111111000000000220000002-1-10-10
χ9822-1222222222-1-2-1-1-1-1-1-1-1-12222-1001-2-2-2-211111111-1-1-1-100000000022000000-2-1-1010-2-21-2-2-2-2-2-2-2-2-21211111111-2-2-2-2100-12222-1-1-1-1-1-1-1-11111000000000-2-20000002110-10
χ9922-1222222222-1-2-1-1-1-1-1-1-1-12222-1001-2-2-2-211111111-1-1-1-1000000000-2-20000002110-10-2-21-2-2-2-2-2-2-2-2-21211111111-2-2-2-2100-12222-1-1-1-1-1-1-1-1111100000000022000000-2-1-1010
χ1002-2222220-2-2-2-2-202222-2-2-2-2000002−20000000000000000002−22−22−22−2i2−i200002i−2i0i2−i2000-22-2-2-2-2-20222220-2-2-2-2222200000−22000000000000000000−22−22−22−22−i2i20000−2i2i0−i2i2000
χ1012-2222220-2-2-2-2-202222-2-2-2-2000002−20000000000000000002−22−22−22−2−i2i20000−2i2i0−i2i2000-22-2-2-2-2-20222220-2-2-2-2222200000−22000000000000000000−22−22−22−22i2−i200002i−2i0i2−i2000
χ1022-2222220-2-2-2-2-202222-2-2-2-200000−22000000000000000000−22−22−22−22i2−i20000−2i2i0i2−i2000-22-2-2-2-2-20222220-2-2-2-22222000002−20000000000000000002−22−22−22−2−i2i200002i−2i0−i2i2000
χ1032-2222220-2-2-2-2-202222-2-2-2-200000−22000000000000000000−22−22−22−22−i2i200002i−2i0−i2i2000-22-2-2-2-2-20222220-2-2-2-22222000002−20000000000000000002−22−22−22−2i2−i20000−2i2i0i2−i2000
χ1044444-2-2-2-44-2-2-2404-2-2-24-2-2-2-4222-4000000000000000-422200000000000000000000000-4-4-4-42224-4222-40-4222-42224-2-2-240000000000000004-2-2-200000000000000000000000
χ105444-24-2-2-4-24-2-240-24-2-2-24-2-22-422-40000000000000002-42200000000000000000000000-4-4-42-42242-422-402-4222-422-24-2-24000000000000000-24-2-200000000000000000000000
χ106444-2-24-2-4-2-24-240-2-24-2-2-24-222-42-400000000000000022-4200000000000000000000000-4-4-422-42422-42-4022-4222-42-2-24-24000000000000000-2-24-200000000000000000000000
χ107444-2-2-24-4-2-2-2440-2-2-24-2-2-24222-4-4000000000000000222-400000000000000000000000-4-4-4222-44222-4-40222-4222-4-2-2-244000000000000000-2-2-2400000000000000000000000
χ10844-24444-44444-20-2-2-2-2-2-2-2-2-4-4-4-42000000000000000222200000000000000000000000-4-42-4-4-4-44-4-4-4-420222222224444-2000000000000000-2-2-2-200000000000000000000000
χ10944-24-2-2-244-2-2-2-24-2111-21114-2-2-2-200-24-2-2-2-2-2111111-211100000000000000000000000-4-42-4222-4-42222-42-1-1-12-1-1-1-42222002-422222-1-1-1-1-1-12-1-1-100000000000000000000000
χ11044-24-2-2-244-2-2-2-2-4-2111-21114-2-2-2-2002-422222-1-1-1-1-1-1-211100000000000000000000000-4-42-4222-4-4222242-1-1-12-1-1-1-4222200-24-2-2-2-2-21111112-1-1-100000000000000000000000
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χ11244-24-2-2-2-44-2-2-2-20-2111-2111-42222000000000-33-33-332-1-1-100000000000000000000000-4-42-42224-4222202-1-1-12-1-1-14-2-2-2-20000000003-33-33-3-211100000000000000000000000
χ11344-2-24-2-24-24-2-2-241-2111-211-24-2-2-200-2-24-2-211-2-211111-21100000000000000000000000-4-422-422-42-4222-4-12-1-1-12-1-12-42220022-422-1-122-1-1-1-1-12-1-100000000000000000000000
χ11444-2-24-2-24-24-2-2-2-41-2111-211-24-2-2-20022-422-1-122-1-1-1-11-21100000000000000000000000-4-422-422-42-42224-12-1-1-12-1-12-422200-2-24-2-211-2-21111-12-1-100000000000000000000000
χ11544-2-24-2-2-4-24-2-2-201-2111-2112-422200000003-3003-3-33-12-1-100000000000000000000000-4-422-42242-42220-12-1-1-12-1-1-24-2-2-20000000-3300-333-31-21100000000000000000000000
χ11644-2-24-2-2-4-24-2-2-201-2111-2112-42220000000-3300-333-3-12-1-100000000000000000000000-4-422-42242-42220-12-1-1-12-1-1-24-2-2-200000003-3003-3-331-21100000000000000000000000
χ11744-2-2-24-24-2-24-2-2411-2111-21-2-24-2-200-2-2-24-21111-2-21111-2100000000000000000000000-4-4222-42-422-422-4-1-12-1-1-12-122-42200222-42-1-1-1-122-1-1-1-12-100000000000000000000000
χ11844-2-2-24-24-2-24-2-2-411-2111-21-2-24-2-200222-42-1-1-1-122-1-111-2100000000000000000000000-4-4222-42-422-4224-1-12-1-1-12-122-42200-2-2-24-21111-2-211-1-12-100000000000000000000000
χ11944-2-2-24-2-4-2-24-2-2011-2111-2122-42200000003-3-33003-3-1-12-100000000000000000000000-4-4222-42422-4220-1-12-1-1-12-1-2-24-2-20000000-333-300-3311-2100000000000000000000000
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χ12144-2-2-2-244-2-2-24-24111-2111-2-2-2-24-200-2-2-2-24111111-2-2111-200000000000000000000000-4-42222-4-4222-42-4-1-1-12-1-1-12222-42002222-4-1-1-1-1-1-122-1-1-1200000000000000000000000
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χ12344-2-2-2-24-4-2-2-24-20111-2111-2222-4200000003-33-3-3300-1-1-1200000000000000000000000-4-42222-44222-420-1-1-12-1-1-12-2-2-24-20000000-33-333-300111-200000000000000000000000
χ12444-2-2-2-24-4-2-2-24-20111-2111-2222-420000000-33-333-300-1-1-1200000000000000000000000-4-42222-44222-420-1-1-12-1-1-12-2-2-24-200000003-33-3-3300111-200000000000000000000000
χ1254-444-2-2-20-4222-404-2-2-2-42220000022−2200000000000000000022−22−22−22−2200000000000000-44-4-422204-2-2-240-42224-2-2-200000−2222000000000000000000−22222−22−22−200000000000000
χ1264-444-2-2-20-4222-404-2-2-2-422200000−2222000000000000000000−22222−22−22−200000000000000-44-4-422204-2-2-240-42224-2-2-20000022−2200000000000000000022−22−22−22−2200000000000000
χ1274-44-24-2-202-422-40-24-2-22-4220000022−22000000000000000000−2222−22−22−2200000000000000-44-42-4220-24-2-2402-422-24-2-200000−22220000000000000000002−2−22222−22−200000000000000
χ1284-44-24-2-202-422-40-24-2-22-42200000−22220000000000000000002−2−22222−22−200000000000000-44-42-4220-24-2-2402-422-24-2-20000022−22000000000000000000−2222−22−22−2200000000000000
χ1294-44-2-24-2022-42-40-2-24-222-420000022−22000000000000000000−22−2222−22−2200000000000000-44-422-420-2-24-24022-42-2-24-200000−22220000000000000000002−22−2−22222−200000000000000
χ1304-44-2-24-2022-42-40-2-24-222-4200000−22220000000000000000002−22−2−22222−200000000000000-44-422-420-2-24-24022-42-2-24-20000022−22000000000000000000−22−2222−22−2200000000000000
χ1314-44-2-2-240222-4-40-2-2-24222-40000022−22000000000000000000−22−22−2222−2200000000000000-44-4222-40-2-2-2440222-4-2-2-2400000−22220000000000000000002−22−22−2−222200000000000000
χ1324-44-2-2-240222-4-40-2-2-24222-400000−22220000000000000000002−22−22−2−222200000000000000-44-4222-40-2-2-2440222-4-2-2-240000022−22000000000000000000−22−22−2222−2200000000000000
χ1334-4-244440-4-4-4-420-2-2-2-222220000000000000000000000000000000002i2−2i20000000−i2i2000-442-4-4-4-404444-202222-2-2-2-2000000000000000000000000000000000−2i22i20000000i2−i2000
χ1344-4-244440-4-4-4-420-2-2-2-22222000000000000000000000000000000000−2i22i20000000i2−i2000-442-4-4-4-404444-202222-2-2-2-20000000000000000000000000000000002i2−2i20000000−i2i2000
χ1358-8-48-4-4-40-844440-42224-2-2-200000000000000000000000000000000000000000000000-884-844408-4-4-4-404-2-2-2-422200000000000000000000000000000000000000000000000
χ1368-8-4-48-4-404-844402-422-24-2-200000000000000000000000000000000000000000000000-8844-8440-48-4-4-40-24-2-22-42200000000000000000000000000000000000000000000000
χ1378-8-4-4-48-4044-844022-42-2-24-200000000000000000000000000000000000000000000000-88444-840-4-48-4-40-2-24-222-4200000000000000000000000000000000000000000000000
χ1388-8-4-4-4-480444-840222-4-2-2-2400000000000000000000000000000000000000000000000-884444-80-4-4-48-40-2-2-24222-400000000000000000000000000000000000000000000000

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