Finite Group Databasebeta

← Group #13177705

Character table — Group #13177705

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-111-11111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-111-1
χ61111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11
χ71111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111111-1-1-1-1-1-1-11-111111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111111-1-1-1-1-1-1-11-11
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χ771111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-1-11-11
χ782222222-22222202222002222-2-2-2-2-2000000000000-2-2-2-200000000002-2220000000-200-2-2-2-2-2-2-22-2-2-2-2-20-2-2-2-200-2-2-2-22222200000000000022220000000000-22-2-20000000200
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χ86222222-1-22222-10-1-1-1-1i3−i3-1-1-1-11-2-2-2-20000i3i3i3i3−i3−i3−i3−i3111100000000002-2-1-100000i3−i3100-2-2-2-2-2-212-2-2-2-2101111−i3i31111-122220000−i3−i3−i3−i3i3i3i3i3-1-1-1-10000000000-221100000−i3i3-100
χ87222222-1-22222-10-1-1-1-1i3−i3-1-1-1-11-2-2-2-20000i3i3i3i3−i3−i3−i3−i311110000000000-221100000−i3i3-100-2-2-2-2-2-212-2-2-2-2101111−i3i31111-122220000−i3−i3−i3−i3i3i3i3i3-1-1-1-100000000002-2-1-100000i3−i3100
χ88222-1-1-1222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-100002-1-1-1000000-2-2-2111-2-2-2111-2-2-2111-2-2-2111-2-2111-2111-2111-2111-2111-2-2-2-21111110000-2111000000
χ89222-1-1-1222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-21111110000-2111000000-2-2-2111-2-2-2111-2-2-2111-2-2-2111-2-2111-2111-2111-2111-21112222-1-1-1-1-1-100002-1-1-1000000
χ90222-1-1-1222-1-1-12-22-1-1-1-2-22-1-1-122-1-1-1-2111-2111-21112-1-1-12-2-2-211111100002-1-1-1000000-2-2-2111-2-2-2111-22-211122-2111-2-21112-1-1-12-1-1-12-1-1-1-2111-2222-1-1-1-1-1-10000-2111000000
χ91222-1-1-1222-1-1-12-22-1-1-1-2-22-1-1-122-1-1-1-2111-2111-21112-1-1-1-2222-1-1-1-1-1-10000-2111000000-2-2-2111-2-2-2111-22-211122-2111-2-21112-1-1-12-1-1-12-1-1-1-21112-2-2-211111100002-1-1-1000000
χ9222-12-1-122-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-10000-12-1-1000000-2-21-211-2-21-211-2-21-211-2-21-211-21-2111-2111-2111-2111-211-2-211-2-2111100001-211000000
χ9322-12-1-122-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-2-211-2-2111100001-211000000-2-21-211-2-21-211-2-21-211-2-21-211-21-2111-2111-2111-2111-21122-1-122-1-1-1-10000-12-1-1000000
χ9422-12-1-122-12-1-12-2-12-1-1-2-2-12-1-12-12-1-11-2111-2111-211-12-1-12-211-2-211110000-12-1-1000000-2-21-211-2-21-211-221-211221-211-21-211-12-1-1-12-1-1-12-1-11-211-22-1-122-1-1-1-100001-211000000
χ9522-12-1-122-12-1-12-2-12-1-1-2-2-12-1-12-12-1-11-2111-2111-211-12-1-1-22-1-122-1-1-1-100001-211000000-2-21-211-2-21-211-221-211221-211-21-211-12-1-1-12-1-1-12-1-11-2112-211-2-211110000-12-1-1000000
χ9622-1-12-122-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-10000-1-12-1000000-2-211-21-2-211-21-2-211-21-2-211-21-211-2111-2111-2111-2111-21-2-21111-2-211000011-21000000
χ9722-1-12-122-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-2-21111-2-211000011-21000000-2-211-21-2-211-21-2-211-21-2-211-21-211-2111-2111-2111-2111-2122-1-1-1-122-1-10000-1-12-1000000
χ9822-1-12-122-1-12-12-2-1-12-1-2-2-1-12-12-1-12-111-2111-2111-21-1-12-12-21111-2-2110000-1-12-1000000-2-211-21-2-211-21-2211-212211-21-211-21-1-12-1-1-12-1-1-12-111-21-22-1-1-1-122-1-1000011-21000000
χ9922-1-12-122-1-12-12-2-1-12-1-2-2-1-12-12-1-12-111-2111-2111-21-1-12-1-22-1-1-1-122-1-1000011-21000000-2-211-21-2-211-21-2211-212211-21-211-21-1-12-1-1-12-1-1-12-111-212-21111-2-2110000-1-12-1000000
χ10022-1-1-1222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1220000-1-1-12000000-2-2111-2-2-2111-2-2-2111-2-2-2111-2-2111-2111-2111-2111-2111-2-2-2111111-2-20000111-2000000
χ10122-1-1-1222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-2-2111111-2-20000111-2000000-2-2111-2-2-2111-2-2-2111-2-2-2111-2-2111-2111-2111-2111-2111-222-1-1-1-1-1-1220000-1-1-12000000
χ10222-1-1-1222-1-1-122-2-1-1-12-2-2-1-1-122-1-1-12111-2111-2111-2-1-1-122-2111111-2-20000-1-1-12000000-2-2111-2-2-2111-2-22111-222111-2-2111-2-1-1-12-1-1-12-1-1-12111-2-22-1-1-1-1-1-1220000111-2000000
χ10322-1-1-1222-1-1-122-2-1-1-12-2-2-1-1-122-1-1-12111-2111-2111-2-1-1-12-22-1-1-1-1-1-1220000111-2000000-2-2111-2-2-2111-2-22111-222111-2-2111-2-1-1-12-1-1-12-1-1-12111-22-2111111-2-20000-1-1-12000000
χ104444-2-2-24-44-2-2-2404-2-2-2004-2-2-2-4-4222000000000000-4222000000000000000000000000-4-4-4222-44-4222-40-422200-422244-2-2-20000000000004-2-2-2000000000000000000000000
χ105444-2-2-2-244-2-2-2-24-2111-2-2-2111-24-2-2-24-2-2-2-2111-2111-2111000000000000000000000000-4-4-42222-4-42222-42-1-1-1222-1-1-12-4222-42222-1-1-12-1-1-12-1-1-1000000000000000000000000
χ106444-2-2-2-244-2-2-2-2-4-211122-2111-24-2-2-2-42222-1-1-12-1-1-1-2111000000000000000000000000-4-4-42222-4-4222242-1-1-1-2-22-1-1-12-42224-2-2-2-2111-21112-1-1-1000000000000000000000000
χ107444-2-2-2-2-44-2-2-2-20-2111−2i32i3-21112-42220000−2i3i3i3i32i3−i3−i3−i32-1-1-1000000000000000000000000-4-4-422224-4222202-1-1-12i3−2i32-1-1-1-24-2-2-200002i3−i3−i3−i3−2i3i3i3i3-2111000000000000000000000000
χ108444-2-2-2-2-44-2-2-2-20-21112i3−2i3-21112-422200002i3−i3−i3−i3−2i3i3i3i32-1-1-1000000000000000000000000-4-4-422224-4222202-1-1-1−2i32i32-1-1-1-24-2-2-20000−2i3i3i3i32i3−i3−i3−i3-2111000000000000000000000000
χ10944-24-2-24-4-24-2-240-24-2-200-24-2-2-42-4220000000000002-422000000000000000000000000-4-42-422-442-422-402-422002-4224-24-2-2000000000000-24-2-2000000000000000000000000
χ11044-24-2-2-24-24-2-2-241-211-2-21-211-2-24-2-2-24-2-21-2111-2111-211000000000000000000000000-4-42-4222-42-4222-4-12-1-122-12-1-122-4222-422-12-1-1-12-1-1-12-1-1000000000000000000000000
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χ11344-24-2-2-2-4-24-2-2-201-2112i3−2i31-21122-4220000−i32i3−i3−i3i3−2i3i3i3-12-1-1000000000000000000000000-4-42-422242-42220-12-1-1−2i32i3-12-1-1-2-24-2-20000i3−2i3i3i3−i32i3−i3−i31-211000000000000000000000000
χ11444-2-24-24-4-2-24-240-2-24-200-2-24-2-422-4200000000000022-42000000000000000000000000-4-422-42-4422-42-4022-420022-424-2-24-2000000000000-2-24-2000000000000000000000000
χ11544-2-24-2-24-2-24-2-2411-21-2-211-21-2-2-24-2-2-24-211-2111-2111-21000000000000000000000000-4-422-422-422-422-4-1-12-122-1-12-1222-4222-42-1-12-1-1-12-1-1-12-1000000000000000000000000
χ11644-2-24-2-24-2-24-2-2-411-212211-21-2-2-24-222-42-1-12-1-1-12-111-21000000000000000000000000-4-422-422-422-4224-1-12-1-2-2-1-12-1222-42-2-24-211-2111-21-1-12-1000000000000000000000000
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χ11944-2-2-244-4-2-2-2440-2-2-2400-2-2-24-4222-4000000000000222-4000000000000000000000000-4-4222-4-44222-4-40222-400222-44-2-2-24000000000000-2-2-24000000000000000000000000
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χ12244-2-2-24-2-4-2-2-24-20111-2−2i32i3111-22222-40000i3i3i3−2i3−i3−i3−i32i3-1-1-12000000000000000000000000-4-4222-424222-420-1-1-122i3−2i3-1-1-12-2-2-2-240000−i3−i3−i32i3i3i3i3−2i3111-2000000000000000000000000
χ12344-2-2-24-2-4-2-2-24-20111-22i3−2i3111-22222-40000−i3−i3−i32i3i3i3i3−2i3-1-1-12000000000000000000000000-4-4222-424222-420-1-1-12−2i32i3-1-1-12-2-2-2-240000i3i3i3−2i3−i3−i3−i32i3111-2000000000000000000000000
χ1244-4444440-4-4-4-4-40444400-4-4-4-4000000000000000000000000000000000000000000000-44-4-4-4-4-40444440-4-4-4-4004444000000000000000000000000000000000000000000000
χ1254-44444-20-4-4-4-420-2-2-2-2002222000000000000000000000000000000000−2i32i30000000000-44-4-4-4-4204444-20222200-2-2-2-20000000000000000000000000000000002i3−2i30000000000
χ1264-44444-20-4-4-4-420-2-2-2-20022220000000000000000000000000000000002i3−2i30000000000-44-4-4-4-4204444-20222200-2-2-2-2000000000000000000000000000000000−2i32i30000000000
χ1274-44-2-2-240-4222-404-2-2-200-422200000000000000000000000006−66−66−600000000000000-44-4222-404-2-2-240-4222004-2-2-20000000000000000000000000−66−66−6600000000000000
χ1284-44-2-2-240-4222-404-2-2-200-42220000000000000000000000000−66−66−6600000000000000-44-4222-404-2-2-240-4222004-2-2-200000000000000000000000006−66−66−600000000000000
χ1294-4-24-2-2402-422-40-24-2-2002-422000000000000000000000006−6006−6−6600000000000000-442-422-40-24-2-2402-42200-24-2-200000000000000000000000−6600−666−600000000000000
χ1304-4-24-2-2402-422-40-24-2-2002-42200000000000000000000000−6600−666−600000000000000-442-422-40-24-2-2402-42200-24-2-2000000000000000000000006−6006−6−6600000000000000
χ1314-4-2-24-24022-42-40-2-24-20022-42000000000000000000000006−6−66006−600000000000000-4422-42-40-2-24-24022-4200-2-24-200000000000000000000000−666−600−6600000000000000
χ1324-4-2-24-24022-42-40-2-24-20022-4200000000000000000000000−666−600−6600000000000000-4422-42-40-2-24-24022-4200-2-24-2000000000000000000000006−6−66006−600000000000000
χ1334-4-2-2-2440222-4-40-2-2-2400222-4000000000000000000000006−66−6−660000000000000000-44222-4-40-2-2-2440222-400-2-2-2400000000000000000000000−66−666−60000000000000000
χ1344-4-2-2-2440222-4-40-2-2-2400222-400000000000000000000000−66−666−60000000000000000-44222-4-40-2-2-2440222-400-2-2-24000000000000000000000006−66−6−660000000000000000
χ1358-88-4-4-4-40-844440-4222004-2-2-2000000000000000000000000000000000000000000000-88-8444408-4-4-4-404-2-2-200-4222000000000000000000000000000000000000000000000
χ1368-8-48-4-4-404-844402-42200-24-2-2000000000000000000000000000000000000000000000-884-84440-48-4-4-40-24-2-2002-422000000000000000000000000000000000000000000000
χ1378-8-4-48-4-4044-844022-4200-2-24-2000000000000000000000000000000000000000000000-8844-8440-4-48-4-40-2-24-20022-42000000000000000000000000000000000000000000000
χ1388-8-4-4-48-40444-840222-400-2-2-24000000000000000000000000000000000000000000000-88444-840-4-4-48-40-2-2-2400222-4000000000000000000000000000000000000000000000

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