Finite Group Databasebeta

← Group #13172303

Character table — Group #13172303

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222444444444444666666666666888812121212121212121212121212121212121212121218181818181836363636363610811112222222222224444444444446666666666668888121212121212121212121212121212121212121212181818181818363636363636108
order122233366666666633366666666622226666666636664666666666666121212121212121222666644121212122222266666666666666666666666622226666666666664666666666666121212121212121222666644121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1111111111111111111111111111111-1-11111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111111111111111111-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111-1-111-1-1-1-1111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-11111111111111111111111111111-1-111-1-1-1-1111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-1
χ61111111111111111111111111111-1-111-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111111111111111111111111111111-1-111-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ9222222-122-1-1-122222-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-102222-1-1-1-1-1-1-1-10000000022-1-1-1-10000000222222-122-1-1-122222-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-102222-1-1-1-1-1-1-1-10000000022-1-1-1-10000000
χ10222222-122-1-1-122222-1-122-1-1-1-1-1-1222-2-2-1-1-1-11111-1-1-1-1022-2-2-1-1-1-1111100000000-2-211110000000222222-122-1-1-122222-1-122-1-1-1-1-1-1222-2-2-1-1-1-11111-1-1-1-1022-2-2-1-1-1-1111100000000-2-211110000000
χ11222222-122-1-1-122222-1-122-1-1-1-1-1-12-2-2221111-1-1-1-1-1-1-1-10-2-2221111-1-1-1-100000000-2-211110000000222222-122-1-1-122222-1-122-1-1-1-1-1-12-2-2221111-1-1-1-1-1-1-1-10-2-2221111-1-1-1-100000000-2-211110000000
χ12222222-122-1-1-122222-1-122-1-1-1-1-1-12-2-2-2-211111111-1-1-1-10-2-2-2-2111111110000000022-1-1-1-10000000222222-122-1-1-122222-1-122-1-1-1-1-1-12-2-2-2-211111111-1-1-1-10-2-2-2-2111111110000000022-1-1-1-10000000
χ1322222-122-12222-12-1-12-1-1-1222-1-1-1-1002200002222-1-1-1-1200-1-10000-1-1-1-122-1-1-1-1-1-10000000200-1-1022222-122-12222-12-1-12-1-1-1222-1-1-1-1002200002222-1-1-1-1200-1-10000-1-1-1-122-1-1-1-1-1-10000000200-1-10
χ1422222-122-12222-12-1-12-1-1-1222-1-1-1-1002200002222-1-1-1-1-200-1-10000-1-1-1-1-2-21111110000000-20011022222-122-12222-12-1-12-1-1-1222-1-1-1-1002200002222-1-1-1-1-200-1-10000-1-1-1-1-2-21111110000000-200110
χ1522222-122-12222-12-1-12-1-1-1222-1-1-1-100-2-20000-2-2-2-2-1-1-1-1200110000111122-1-1-1-1-1-10000000-20011022222-122-12222-12-1-12-1-1-1222-1-1-1-100-2-20000-2-2-2-2-1-1-1-1200110000111122-1-1-1-1-1-10000000-200110
χ1622222-122-12222-12-1-12-1-1-1222-1-1-1-100-2-20000-2-2-2-2-1-1-1-1-2001100001111-2-21111110000000200-1-1022222-122-12222-12-1-12-1-1-1222-1-1-1-100-2-20000-2-2-2-2-1-1-1-1-2001100001111-2-21111110000000200-1-10
χ172222-122-12222-12-12-1-12-1-1-1-1-1222-1220022220000-1-1-1-12-1-100-1-1-1-10000-1-122-1-1-1-100000020-1-10002222-122-12222-12-12-1-12-1-1-1-1-1222-1220022220000-1-1-1-12-1-100-1-1-1-10000-1-122-1-1-1-100000020-1-1000
χ182222-122-12222-12-12-1-12-1-1-1-1-1222-1220022220000-1-1-1-1-2-1-100-1-1-1-1000011-2-21111000000-20110002222-122-12222-12-12-1-12-1-1-1-1-1222-1220022220000-1-1-1-1-2-1-100-1-1-1-1000011-2-21111000000-2011000
χ192222-122-12222-12-12-1-12-1-1-1-1-1222-1-2-200-2-2-2-20000-1-1-1-12110011110000-1-122-1-1-1-1000000-20110002222-122-12222-12-12-1-12-1-1-1-1-1222-1-2-200-2-2-2-20000-1-1-1-12110011110000-1-122-1-1-1-1000000-2011000
χ202222-122-12222-12-12-1-12-1-1-1-1-1222-1-2-200-2-2-2-20000-1-1-1-1-211001111000011-2-2111100000020-1-10002222-122-12222-12-12-1-12-1-1-1-1-1222-1-2-200-2-2-2-20000-1-1-1-1-211001111000011-2-2111100000020-1-1000
χ2122-2-2222-2-22-2-222-2-2222-2-22-2-22-2-2200000000000022-2-20000000000000000000002-222-2-2000000022-2-2222-2-22-2-222-2-2222-2-22-2-22-2-2200000000000022-2-20000000000000000000002-222-2-20000000
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χ2522-2-222-1-2-2-11122-2-22-1-1-2-2-111-11120000i3i3−i3−i3−i3−i3i3i3-1-11100000i3i3−i3−i3−i3−i3i3i300000000-2211-1-1000000022-2-222-1-2-2-11122-2-22-1-1-2-2-111-11120000i3i3−i3−i3−i3−i3i3i3-1-11100000i3i3−i3−i3−i3−i3i3i300000000-2211-1-10000000
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χ272-22-22222-2-22-2-2-2-222222-2-22-2-22-2-22-2002-22-200002-22-202-2002-22-200000000000000000000000002-22-22222-2-22-2-2-2-222222-2-22-2-22-2-22-2002-22-200002-22-202-2002-22-20000000000000000000000000
χ282-22-22222-2-22-2-2-2-222222-2-22-2-22-2-2-2200-22-2200002-22-20-2200-22-2200000000000000000000000002-22-22222-2-22-2-2-2-222222-2-22-2-22-2-2-2200-22-2200002-22-20-2200-22-220000000000000000000000000
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χ302-22-222-12-21-11-2-2-222-1-12-21-111-11-22-200-11-11i3−i3i3−i3-11-1102-200-11-11i3−i3i3−i30000000000i3−i3i3−i300000002-22-222-12-21-11-2-2-222-1-12-21-111-11-22-200-11-11i3−i3i3−i3-11-1102-200-11-11i3−i3i3−i30000000000i3−i3i3−i30000000
χ312-22-222-12-21-11-2-2-222-1-12-21-111-11-2-22001-11-1−i3i3−i3i3-11-110-22001-11-1−i3i3−i3i30000000000i3−i3i3−i300000002-22-222-12-21-11-2-2-222-1-12-21-111-11-2-22001-11-1−i3i3−i3i3-11-110-22001-11-1−i3i3−i3i30000000000i3−i3i3−i30000000
χ322-22-222-12-21-11-2-2-222-1-12-21-111-11-2-22001-11-1i3−i3i3−i3-11-110-22001-11-1i3−i3i3−i30000000000−i3i3−i3i300000002-22-222-12-21-11-2-2-222-1-12-21-111-11-2-22001-11-1i3−i3i3−i3-11-110-22001-11-1i3−i3i3−i30000000000−i3i3−i3i30000000
χ332-22-2-122-1-2-22-21-212-1-12-111-11-22-212-2002-22-20000-11-110-1100-11-1100003−30033−3−3000000003−30002-22-2-122-1-2-22-21-212-1-12-111-11-22-212-2002-22-20000-11-110-1100-11-1100003−30033−3−3000000003−3000
χ342-22-2-122-1-2-22-21-212-1-12-111-11-22-212-2002-22-20000-11-110-1100-11-110000−3300−3−33300000000−330002-22-2-122-1-2-22-21-212-1-12-111-11-22-212-2002-22-20000-11-110-1100-11-110000−3300−3−33300000000−33000
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χ422-2-2222-1-2211-1-2-22-22-1-1-2211-111-1-200-22i3−i3−i3i31-1-11-111-1000-22i3−i3−i3i31-1-110000000000−i3i3i3−i300000002-2-2222-1-2211-1-2-22-22-1-1-2211-111-1-200-22i3−i3−i3i31-1-11-111-1000-22i3−i3−i3i31-1-110000000000−i3i3i3−i30000000
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χ442-2-222-12-2-1-2-22-2121-12-11-1-2-2211-11002-200002-2-22-111-1000-110000-111-100−33−33−330000000000−3302-2-222-12-2-1-2-22-2121-12-11-1-2-2211-11002-200002-2-22-111-1000-110000-111-100−33−33−330000000000−330
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χ1202-2-2222-1-2211-1-2-22-22-1-1-2211-111-1-200-22i3−i3−i3i31-1-11-111-1000-22i3−i3−i3i31-1-110000000000−i3i3i3−i30000000-222-2-2-212-2-1-1122-22-2112-2-1-11-1-112002-2−i3i3i3−i3-111-11-1-110002-2−i3i3i3−i3-111-10000000000i3−i3−i3i30000000
χ1212-2-222-12-2-1-2-22-2121-12-11-1-2-2211-11002-200002-2-22-111-1000-110000-111-1003−33−33−300000000003−30-222-2-21-22122-22-1-2-11-21-1122-2-1-11-100-220000-222-21-1-110001-100001-1-1100−33−33−330000000000−330
χ1222-2-222-12-2-1-2-22-2121-12-11-1-2-2211-11002-200002-2-22-111-1000-110000-111-100−33−33−330000000000−330-222-2-21-22122-22-1-2-11-21-1122-2-1-11-100-220000-222-21-1-110001-100001-1-11003−33−33−300000000003−30
χ1232-2-222-12-2-1-2-22-2121-12-11-1-2-2211-1100-220000-222-2-111-10001-100001-1-11003−33−33−30000000000−330-222-2-21-22122-22-1-2-11-21-1122-2-1-11-1002-200002-2-221-1-11000-110000-111-100−33−33−3300000000003−30
χ1242-2-222-12-2-1-2-22-2121-12-11-1-2-2211-1100-220000-222-2-111-10001-100001-1-1100−33−33−3300000000003−30-222-2-21-22122-22-1-2-11-21-1122-2-1-11-1002-200002-2-221-1-11000-110000-111-1003−33−33−30000000000−330
χ12544444-2-24-2-2-2-24-24-2-2-21-2-2-2-2-2111-200440000-2-2-2-21111000-2-200001111000000000000000000000-4-4-4-4-422-42222-42-4222-122222-1-1-1200-4-400002222-1-1-1-1000220000-1-1-1-1000000000000000000000
χ12644444-2-24-2-2-2-24-24-2-2-21-2-2-2-2-2111-200-4-4000022221111000220000-1-1-1-1000000000000000000000-4-4-4-4-422-42222-42-4222-122222-1-1-1200440000-2-2-2-2-1-1-1-1000-2-200001111000000000000000000000
χ1274444-24-2-24-2-2-2-24-24-21-2-2-2111-2-2-2-24400-2-2-2-2000011110-2-20011110000000000000000000000000-4-4-4-42-422-42222-42-42-1222-1-1-12222-4-40022220000-1-1-1-102200-1-1-1-10000000000000000000000000
χ1284444-24-2-24-2-2-2-24-24-21-2-2-2111-2-2-2-2-4-40022220000111102200-1-1-1-10000000000000000000000000-4-4-4-42-422-42222-42-42-1222-1-1-122224400-2-2-2-20000-1-1-1-10-2-20011110000000000000000000000000
χ1294444-2-24-2-2444-2-2-2-21-2-211-2-2-2-2-2-2100000000000011114000000000000-2-2-2-211110000000000000-4-4-4-422-422-4-4-42222-122-1-1222222-1000000000000-1-1-1-1-40000000000002222-1-1-1-10000000000000
χ1304444-2-24-2-2444-2-2-2-21-2-211-2-2-2-2-2-210000000000001111-40000000000002222-1-1-1-10000000000000-4-4-4-422-422-4-4-42222-122-1-1222222-1000000000000-1-1-1-14000000000000-2-2-2-211110000000000000
χ13144-4-44-24-424-4-44-2-42-24-2224-4-4-222-2000000000000-2-2220000000000000000000000000000000000-4-444-42-44-2-444-424-22-42-2-2-4442-2-2200000000000022-2-20000000000000000000000000000000000
χ13244-4-44-2-2-42-2224-2-42-2-2122-2221-1-1-200000000−2i3−2i32i32i311-1-1000000000i3i3−i3−i3000000000000000000000-4-444-4224-22-2-2-424-222-1-2-22-2-2-1112000000002i32i3−2i3−2i3-1-111000000000−i3−i3i3i3000000000000000000000
χ13344-4-44-2-2-42-2224-2-42-2-2122-2221-1-1-2000000002i32i3−2i3−2i311-1-1000000000−i3−i3i3i3000000000000000000000-4-444-4224-22-2-2-424-222-1-2-22-2-2-111200000000−2i3−2i32i32i3-1-111000000000i3i3−i3−i3000000000000000000000
χ13444-4-4-2442-44-4-4-242-4-2-2422-2224-4-4-2000000000000-2-2220000000000000000000000000000000000-4-4442-4-4-24-4442-4-2422-4-2-22-2-2-444200000000000022-2-20000000000000000000000000000000000
χ13544-4-4-24-22-4-222-242-4-21-2221-1-1-222-20000−2i3−2i32i32i3000011-1-100000i3i3−i3−i30000000000000000000000000-4-4442-42-242-2-22-4-242-12-2-2-1112-2-2200002i32i3−2i3−2i30000-1-11100000−i3−i3i3i30000000000000000000000000
χ13644-4-4-24-22-4-222-242-4-21-2221-1-1-222-200002i32i3−2i3−2i3000011-1-100000−i3−i3i3i30000000000000000000000000-4-4442-42-242-2-22-4-242-12-2-2-1112-2-220000−2i3−2i32i32i30000-1-11100000i3i3−i3−i30000000000000000000000000
χ13744-4-4-2-24224-4-4-2-2221-2-2-1-1-222-222100000000000011-1-1000000000000000003-3-330000000000000-4-44422-4-2-2-44422-2-2-122112-2-22-2-2-1000000000000-1-11100000000000000000-333-30000000000000
χ13844-4-4-2-24224-4-4-2-2221-2-2-1-1-222-222100000000000011-1-100000000000000000-333-30000000000000-4-44422-4-2-2-44422-2-2-122112-2-22-2-2-1000000000000-1-111000000000000000003-3-330000000000000
χ1394-44-44-2442-44-4-42-4-2-24-2-22-44-42-222000000000000-22-220000000000000000000000000000000000-44-44-42-4-4-24-444-2422-422-24-44-22-2-20000000000002-22-20000000000000000000000000000000000
χ1404-44-44-2-2422-22-42-4-2-2-21-222-22-11-1200000000−2i32i3−2i32i31-11-1000000000i3−i3i3−i3000000000000000000000-44-44-422-4-2-22-24-24222-12-2-22-21-11-2000000002i3−2i32i3−2i3-11-11000000000−i3i3−i3i3000000000000000000000
χ1414-44-44-2-2422-22-42-4-2-2-21-222-22-11-12000000002i3−2i32i3−2i31-11-1000000000−i3i3−i3i3000000000000000000000-44-44-422-4-2-22-24-24222-12-2-22-21-11-200000000−2i32i3−2i32i3-11-11000000000i3−i3i3−i3000000000000000000000
χ1424-44-4-24-2-2-42-222-424-21-2-22-11-12-2224-400-22-2200001-11-10-22001-11-10000000000000000000000000-44-442-4224-22-2-24-2-42-122-21-11-22-2-2-44002-22-20000-11-1102-200-11-110000000000000000000000000
χ1434-44-4-24-2-2-42-222-424-21-2-22-11-12-222-44002-22-200001-11-102-200-11-110000000000000000000000000-44-442-4224-22-2-24-2-42-122-21-11-22-2-24-400-22-220000-11-110-22001-11-10000000000000000000000000
χ1444-44-4-2-24-22-44-4222-21-2-21-12-222-22-10000000000001-11-1000000000000023−2300−3−3330000000000000-44-4422-42-24-44-2-2-22-122-11-22-2-22-21000000000000-11-110000000000000−23230033−3−30000000000000
χ1454-44-4-2-24-22-44-4222-21-2-21-12-222-22-10000000000001-11-10000000000000−23230033−3−30000000000000-44-4422-42-24-44-2-2-22-122-11-22-2-22-21000000000000-11-11000000000000023−2300−3−3330000000000000
χ1464-4-444-2-2-4-222-2-4242-2-212-222-2-1-112004-40000-222-21-1-11000-2200001-1-11000000000000000000000-444-4-42242-2-224-2-4-222-1-22-2-2211-1-200-4400002-2-22-111-10002-20000-111-1000000000000000000000
χ1474-4-444-2-2-4-222-2-4242-2-212-222-2-1-11200-4400002-2-221-1-110002-20000-111-1000000000000000000000-444-4-42242-2-224-2-4-222-1-22-2-2211-1-2004-40000-222-2-111-1000-2200001-1-11000000000000000000000
χ1484-4-44-24424-4-442-4-2-4-2-242-222-2-4-442000000000000-222-20000000000000000000000000000000000-444-42-4-4-2-444-4-242422-4-22-2-2244-4-20000000000002-2-220000000000000000000000000000000000
χ1494-4-44-24-22422-22-4-2-4-21-22-2-1-1122-220000−2i32i32i3−2i300001-1-1100000i3−i3−i3i30000000000000000000000000-444-42-42-2-4-2-22-24242-12-2211-1-2-22-200002i3−2i3−2i32i30000-111-100000−i3i3i3−i30000000000000000000000000
χ1504-4-44-24-22422-22-4-2-4-21-22-2-1-1122-2200002i3−2i3−2i32i300001-1-1100000−i3i3i3−i30000000000000000000000000-444-42-42-2-4-2-22-24242-12-2211-1-2-22-20000−2i32i32i3−2i30000-111-100000i3−i3−i3i30000000000000000000000000
χ1514-4-44-2-242-2-4-4422-221-2-2-1122-222-2-10000000000001-1-1100000000000000023−23−33−330000000000000-444-422-4-2244-4-2-22-2-1221-1-2-22-2-221000000000000-111-1000000000000000−23233−33−30000000000000
χ1524-4-44-2-242-2-4-4422-221-2-2-1122-222-2-10000000000001-1-11000000000000000−23233−33−30000000000000-444-422-4-2244-4-2-22-2-1221-1-2-22-2-221000000000000-111-100000000000000023−23−33−330000000000000
χ1538888-4-4-4-4-4-4-4-4-4-4-4-4222222222222000000000000-1-1-1-10000000000000000000000000000000000-8-8-8-8444444444444-2-2-2-2-2-2-2-2-2-2-2-200000000000011110000000000000000000000000000000000
χ15488-8-8-4-4-444-444-4-444222-2-22-2-22-2-22000000000000-1-1110000000000000000000000000000000000-8-888444-4-44-4-444-4-4-2-2-222-222-222-200000000000011-1-10000000000000000000000000000000000
χ1558-88-8-4-4-4-444-44444-42222-2-22-2-22-2-2000000000000-11-110000000000000000000000000000000000-88-884444-4-44-4-4-4-44-2-2-2-222-222-2220000000000001-11-10000000000000000000000000000000000
χ1568-8-88-4-4-44-444-444-44222-22-2-22-2-22-2000000000000-111-10000000000000000000000000000000000-888-8444-44-4-44-4-44-4-2-2-22-222-222-220000000000001-1-110000000000000000000000000000000000

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