Finite Group Databasebeta

← Group #13172286

Character table — Group #13172286

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222444444444444666666666666888812121212121212121212121212121212121212121218181818181836363636363610811112222222222224444444444446666666666668888121212121212121212121212121212121212121212181818181818363636363636108
order12223336666666663336666666662222666666663666466666666666612121212121212122266662466121242222666666666666666666666666222266666666666646666666666661212121212121212226666246612124
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
χ3111111111111111111111111111111-1-11111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-1111111111111111111111111111111-1-11111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-1
χ4111111111111111111111111111111-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111111111111111111111111111111-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ51111111111111111111111111111-1-111-1-1-1-1111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-11-111-1-1-11111111111111111111111111111-1-111-1-1-1-1111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-11-111-1-1-1
χ61111111111111111111111111111-1-111-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111111111111111111111111-1-111-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
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
χ9222222-1222-1-1-12222-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-102222-1-1-1-1-1-1-1-10000000022-1-1-1-10000000222222-1222-1-1-12222-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-102222-1-1-1-1-1-1-1-10000000022-1-1-1-10000000
χ10222222-1222-1-1-12222-1-122-1-1-1-1-1-1222-2-2-1-1-1-11111-1-1-1-1022-2-2-1-1-1-1111100000000-2-211110000000222222-1222-1-1-12222-1-122-1-1-1-1-1-1222-2-2-1-1-1-11111-1-1-1-1022-2-2-1-1-1-1111100000000-2-211110000000
χ11222222-1222-1-1-12222-1-122-1-1-1-1-1-12-2-2221111-1-1-1-1-1-1-1-10-2-2221111-1-1-1-100000000-2-211110000000222222-1222-1-1-12222-1-122-1-1-1-1-1-12-2-2221111-1-1-1-1-1-1-1-10-2-2221111-1-1-1-100000000-2-211110000000
χ12222222-1222-1-1-12222-1-122-1-1-1-1-1-12-2-2-2-211111111-1-1-1-10-2-2-2-2111111110000000022-1-1-1-10000000222222-1222-1-1-12222-1-122-1-1-1-1-1-12-2-2-2-211111111-1-1-1-10-2-2-2-2111111110000000022-1-1-1-10000000
χ1322222-122-1-12222-12-12-1-1-1222-1-1-1-1002200002222-1-1-1-1200-1-10000-1-1-1-122-1-1-1-1-1-100000020-1-100022222-122-1-12222-12-12-1-1-1222-1-1-1-1002200002222-1-1-1-1200-1-10000-1-1-1-122-1-1-1-1-1-100000020-1-1000
χ1422222-122-1-12222-12-12-1-1-1222-1-1-1-1002200002222-1-1-1-1-200-1-10000-1-1-1-1-2-2111111000000-201100022222-122-1-12222-12-12-1-1-1222-1-1-1-1002200002222-1-1-1-1-200-1-10000-1-1-1-1-2-2111111000000-2011000
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χ172222-122-122222-12-1-1-12-1-1-1-1-1222-1220022220000-1-1-1-12-1-100-1-1-1-10000-1-122-1-1-1-10000000200-1-102222-122-122222-12-1-1-12-1-1-1-1-1222-1220022220000-1-1-1-12-1-100-1-1-1-10000-1-122-1-1-1-10000000200-1-10
χ182222-122-122222-12-1-1-12-1-1-1-1-1222-1220022220000-1-1-1-1-2-1-100-1-1-1-1000011-2-211110000000-2001102222-122-122222-12-1-1-12-1-1-1-1-1222-1220022220000-1-1-1-1-2-1-100-1-1-1-1000011-2-211110000000-200110
χ192222-122-122222-12-1-1-12-1-1-1-1-1222-1-2-200-2-2-2-20000-1-1-1-12110011110000-1-122-1-1-1-10000000-2001102222-122-122222-12-1-1-12-1-1-1-1-1222-1-2-200-2-2-2-20000-1-1-1-12110011110000-1-122-1-1-1-10000000-200110
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χ2122-2-2222-2-2-22-2-222-2222-2-22-2-22-2-22002-2000022-2-222-2-20002-2000022-2-200000000000000000000022-2-2222-2-2-22-2-222-2222-2-22-2-22-2-22002-2000022-2-222-2-20002-2000022-2-2000000000000000000000
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χ2522-2-222-1-2-2-2-11122-22-1-1-2-2-111-111200-22−i3−i3i3i311-1-1-1-111000-22−i3−i3i3i311-1-10000000000i3i3−i3−i3000000022-2-222-1-2-2-2-11122-22-1-1-2-2-111-111200-22−i3−i3i3i311-1-1-1-111000-22−i3−i3i3i311-1-10000000000i3i3−i3−i30000000
χ2622-2-222-1-2-2-2-11122-22-1-1-2-2-111-111200-22i3i3−i3−i311-1-1-1-111000-22i3i3−i3−i311-1-10000000000−i3−i3i3i3000000022-2-222-1-2-2-2-11122-22-1-1-2-2-111-111200-22i3i3−i3−i311-1-1-1-111000-22i3i3−i3−i311-1-10000000000−i3−i3i3i30000000
χ2722-2-22-12-2112-2-22-1-2-12-1112-2-2-111-1002-2000022-2-2-1-111000-110000-1-11100−i3i3−i3−i3i3i300000000−i3i300022-2-22-12-2112-2-22-1-2-12-1112-2-2-111-1002-2000022-2-2-1-111000-110000-1-11100−i3i3−i3−i3i3i300000000−i3i3000
χ2822-2-22-12-2112-2-22-1-2-12-1112-2-2-111-1002-2000022-2-2-1-111000-110000-1-11100i3−i3i3i3−i3−i300000000i3−i300022-2-22-12-2112-2-22-1-2-12-1112-2-2-111-1002-2000022-2-2-1-111000-110000-1-11100i3−i3i3i3−i3−i300000000i3−i3000
χ2922-2-22-12-2112-2-22-1-2-12-1112-2-2-111-100-220000-2-222-1-1110001-1000011-1-100−i3i3−i3−i3i3i300000000i3−i300022-2-22-12-2112-2-22-1-2-12-1112-2-2-111-100-220000-2-222-1-1110001-1000011-1-100−i3i3−i3−i3i3i300000000i3−i3000
χ3022-2-22-12-2112-2-22-1-2-12-1112-2-2-111-100-220000-2-222-1-1110001-1000011-1-100i3−i3i3i3−i3−i300000000−i3i300022-2-22-12-2112-2-22-1-2-12-1112-2-2-111-100-220000-2-222-1-1110001-1000011-1-100i3−i3i3i3−i3−i300000000−i3i3000
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χ412-2-2222-12-2211-1-2-2-22-1-1-2211-111-1-2-22001-1-11−i3i3i3−i3-111-10-22001-1-11−i3i3i3−i30000000000i3−i3−i3i300000002-2-2222-12-2211-1-2-2-22-1-1-2211-111-1-2-22001-1-11−i3i3i3−i3-111-10-22001-1-11−i3i3i3−i30000000000i3−i3−i3i30000000
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χ432-2-22-122-1-22-2-221-21-1-121-111-1-2-2212-2002-2-220000-111-10-1100-111-100003−3003−33−300000000003−302-2-22-122-1-22-2-221-21-1-121-111-1-2-2212-2002-2-220000-111-10-1100-111-100003−3003−33−300000000003−30
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χ1182-2-2222-12-2211-1-2-2-22-1-1-2211-111-1-22-200-111-1i3−i3−i3i3-111-102-200-111-1i3−i3−i3i30000000000i3−i3−i3i30000000-222-2-2-21-22-2-1-11222-2112-2-1-11-1-112-22001-1-11−i3i3i3−i31-1-110-22001-1-11−i3i3i3−i30000000000−i3i3i3−i30000000
χ1192-2-2222-12-2211-1-2-2-22-1-1-2211-111-1-2-22001-1-11−i3i3i3−i3-111-10-22001-1-11−i3i3i3−i30000000000i3−i3−i3i30000000-222-2-2-21-22-2-1-11222-2112-2-1-11-1-1122-200-111-1i3−i3−i3i31-1-1102-200-111-1i3−i3−i3i30000000000−i3i3i3−i30000000
χ1202-2-2222-12-2211-1-2-2-22-1-1-2211-111-1-2-22001-1-11i3−i3−i3i3-111-10-22001-1-11i3−i3−i3i30000000000−i3i3i3−i30000000-222-2-2-21-22-2-1-11222-2112-2-1-11-1-1122-200-111-1−i3i3i3−i31-1-1102-200-111-1−i3i3i3−i30000000000i3−i3−i3i30000000
χ1212-2-22-122-1-22-2-221-21-1-121-111-1-2-2212-2002-2-220000-111-10-1100-111-100003−3003−33−300000000003−30-222-21-2-212-222-2-12-111-2-11-1-1122-2-1-2200-222-200001-1-1101-1001-1-110000−3300−33−330000000000−330
χ1222-2-22-122-1-22-2-221-21-1-121-111-1-2-2212-2002-2-220000-111-10-1100-111-10000−3300−33−330000000000−330-222-21-2-212-222-2-12-111-2-11-1-1122-2-1-2200-222-200001-1-1101-1001-1-1100003−3003−33−300000000003−30
χ1232-2-22-122-1-22-2-221-21-1-121-111-1-2-221-2200-222-20000-111-101-1001-1-1100003−3003−33−30000000000−330-222-21-2-212-222-2-12-111-2-11-1-1122-2-12-2002-2-2200001-1-110-1100-111-10000−3300−33−3300000000003−30
χ1242-2-22-122-1-22-2-221-21-1-121-111-1-2-221-2200-222-20000-111-101-1001-1-110000−3300−33−3300000000003−30-222-21-2-212-222-2-12-111-2-11-1-1122-2-12-2002-2-2200001-1-110-1100-111-100003−3003−33−30000000000−330
χ12544444-2-24-2-2-2-2-24-24-2-21-2-2-2-2-2111-200440000-2-2-2-21111000-2-200001111000000000000000000000-4-4-4-4-422-422222-42-422-122222-1-1-1200-4-400002222-1-1-1-1000220000-1-1-1-1000000000000000000000
χ12644444-2-24-2-2-2-2-24-24-2-21-2-2-2-2-2111-200-4-4000022221111000220000-1-1-1-1000000000000000000000-4-4-4-4-422-422222-42-422-122222-1-1-1200440000-2-2-2-2-1-1-1-1000-2-200001111000000000000000000000
χ1274444-24-2-244-2-2-2-24-2-21-2-2-2111-2-2-2-24400-2-2-2-2000011110-2-20011110000000000000000000000000-4-4-4-42-422-4-42222-422-1222-1-1-12222-4-40022220000-1-1-1-102200-1-1-1-10000000000000000000000000
χ1284444-24-2-244-2-2-2-24-2-21-2-2-2111-2-2-2-2-4-40022220000111102200-1-1-1-10000000000000000000000000-4-4-4-42-422-4-42222-422-1222-1-1-122224400-2-2-2-20000-1-1-1-10-2-20011110000000000000000000000000
χ1294444-2-24-2-2-2444-2-2-21-2-211-2-2-2-2-2-2100000000000011114000000000000-2-2-2-211110000000000000-4-4-4-422-4222-4-4-4222-122-1-1222222-1000000000000-1-1-1-1-40000000000002222-1-1-1-10000000000000
χ1304444-2-24-2-2-2444-2-2-21-2-211-2-2-2-2-2-210000000000001111-40000000000002222-1-1-1-10000000000000-4-4-4-422-4222-4-4-4222-122-1-1222222-1000000000000-1-1-1-14000000000000-2-2-2-211110000000000000
χ13144-4-44-2-2-422-2224-2-4-2-2122-2221-1-1-2004-40000-2-22211-1-1000-22000011-1-1000000000000000000000-4-444-4224-2-22-2-2-42422-1-2-22-2-2-111200-44000022-2-2-1-1110002-20000-1-111000000000000000000000
χ13244-4-44-2-2-422-2224-2-4-2-2122-2221-1-1-200-44000022-2-211-1-10002-20000-1-111000000000000000000000-4-444-4224-2-22-2-2-42422-1-2-22-2-2-1112004-40000-2-222-1-111000-22000011-1-1000000000000000000000
χ13344-4-4-2442-4-44-4-4-242-2-2422-2224-4-4-2000000000000-2-2220000000000000000000000000000000000-4-4442-4-4-244-4442-4-222-4-2-22-2-2-444200000000000022-2-20000000000000000000000000000000000
χ13444-4-4-24-22-4-4-222-242-21-2221-1-1-222-20000−2i3−2i32i32i3000011-1-100000i3i3−i3−i30000000000000000000000000-4-4442-42-2442-2-22-4-22-12-2-2-1112-2-2200002i32i3−2i3−2i30000-1-11100000−i3−i3i3i30000000000000000000000000
χ13544-4-4-24-22-4-4-222-242-21-2221-1-1-222-200002i32i3−2i3−2i3000011-1-100000−i3−i3i3i30000000000000000000000000-4-4442-42-2442-2-22-4-22-12-2-2-1112-2-220000−2i3−2i32i32i30000-1-11100000i3i3−i3−i30000000000000000000000000
χ13644-4-4-2-242224-4-4-2-221-2-2-1-1-222-222100000000000011-1-1000000000000000−2i32i3i3i3−i3−i30000000000000-4-44422-4-2-2-2-44422-2-122112-2-22-2-2-1000000000000-1-1110000000000000002i3−2i3−i3−i3i3i30000000000000
χ13744-4-4-2-242224-4-4-2-221-2-2-1-1-222-222100000000000011-1-10000000000000002i3−2i3−i3−i3i3i30000000000000-4-44422-4-2-2-2-44422-2-122112-2-22-2-2-1000000000000-1-111000000000000000−2i32i3i3i3−i3−i30000000000000
χ1384-44-44-24-4-22-44-4-424-24-2-22-44-42-222000000000000-22-220000000000000000000000000000000000-44-44-42-442-24-444-2-42-422-24-44-22-2-20000000000002-22-20000000000000000000000000000000000
χ1394-44-44-2-2-4-222-22-424-2-21-222-22-11-1200000000−2i32i3−2i32i31-11-1000000000i3−i3i3−i3000000000000000000000-44-44-42242-2-22-24-2-422-12-2-22-21-11-2000000002i3−2i32i3−2i3-11-11000000000−i3i3−i3i3000000000000000000000
χ1404-44-44-2-2-4-222-22-424-2-21-222-22-11-12000000002i3−2i32i3−2i31-11-1000000000−i3i3−i3i3000000000000000000000-44-44-42242-2-22-24-2-422-12-2-22-21-11-200000000−2i32i3−2i32i3-11-11000000000i3−i3i3−i3000000000000000000000
χ1414-44-4-24424-4-44-42-4-2-2-24-222-22-44-42000000000000-22-220000000000000000000000000000000000-44-442-4-4-2-444-44-24222-42-2-22-24-44-20000000000002-22-20000000000000000000000000000000000
χ1424-44-4-24-224-42-222-4-2-21-2-22-11-12-2220000−2i32i3−2i32i300001-11-100000i3−i3i3−i30000000000000000000000000-44-442-42-2-44-22-2-2422-122-21-11-22-2-200002i3−2i32i3−2i30000-11-1100000−i3i3−i3i30000000000000000000000000
χ1434-44-4-24-224-42-222-4-2-21-2-22-11-12-22200002i3−2i32i3−2i300001-11-100000−i3i3−i3i30000000000000000000000000-44-442-42-2-44-22-2-2422-122-21-11-22-2-20000−2i32i3−2i32i30000-11-1100000i3−i3i3−i30000000000000000000000000
χ1444-44-4-2-242-22-44-422-21-2-21-12-222-22-10000000000001-11-1000000000000000003i−3i−3i3i0000000000000-44-4422-4-22-24-44-2-22-122-11-22-2-22-21000000000000-11-1100000000000000000−3i3i3i−3i0000000000000
χ1454-44-4-2-242-22-44-422-21-2-21-12-222-22-10000000000001-11-100000000000000000−3i3i3i−3i0000000000000-44-4422-4-22-24-44-2-22-122-11-22-2-22-21000000000000-11-11000000000000000003i−3i−3i3i0000000000000
χ1464-4-444-2442-2-4-44-42-4-24-22-2-4-4422-22000000000000-222-20000000000000000000000000000000000-444-4-42-4-4-2244-44-242-42-2244-4-2-22-20000000000002-2-220000000000000000000000000000000000
χ1474-4-444-2-242-222-2-42-4-2-212-222-2-1-11200000000−2i32i32i3−2i31-1-11000000000i3−i3−i3i3000000000000000000000-444-4-422-4-22-2-224-2422-1-22-2-2211-1-2000000002i3−2i3−2i32i3-111-1000000000−i3i3i3−i3000000000000000000000
χ1484-4-444-2-242-222-2-42-4-2-212-222-2-1-112000000002i3−2i3−2i32i31-1-11000000000−i3i3i3−i3000000000000000000000-444-4-422-4-22-2-224-2422-1-22-2-2211-1-200000000−2i32i32i3−2i3-111-1000000000i3−i3−i3i3000000000000000000000
χ1494-4-44-24-2-2-4422-22-42-21-22-2-1-1122-224-400-222-200001-1-110-22001-1-110000000000000000000000000-444-42-4224-4-2-22-24-22-12-2211-1-2-22-2-44002-2-220000-111-102-200-111-10000000000000000000000000
χ1504-4-44-24-2-2-4422-22-42-21-22-2-1-1122-22-44002-2-2200001-1-1102-200-111-10000000000000000000000000-444-42-4224-4-2-22-24-22-12-2211-1-2-22-24-400-222-20000-111-10-22001-1-110000000000000000000000000
χ1514-4-44-2-24-22-2-4-442221-2-2-1122-222-2-10000000000001-1-11000000000000023−2300−33−330000000000000-444-422-42-2244-4-2-2-2-1221-1-2-22-2-221000000000000-111-10000000000000−2323003−33−30000000000000
χ1524-4-44-2-24-22-2-4-442221-2-2-1122-222-2-10000000000001-1-110000000000000−2323003−33−30000000000000-444-422-42-2244-4-2-2-2-1221-1-2-22-2-221000000000000-111-1000000000000023−2300−33−330000000000000
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
χ15488-8-8-4-4-4444-444-4-44222-2-22-2-22-2-22000000000000-1-1110000000000000000000000000000000000-8-888444-4-4-44-4-444-4-2-2-222-222-222-200000000000011-1-10000000000000000000000000000000000
χ1558-88-8-4-4-44-444-4444-42222-2-22-2-22-2-2000000000000-11-110000000000000000000000000000000000-88-88444-44-4-44-4-4-44-2-2-2-222-222-2220000000000001-11-10000000000000000000000000000000000
χ1568-8-88-4-4-4-44-444-4444222-22-2-22-2-22-2000000000000-111-10000000000000000000000000000000000-888-84444-44-4-44-4-4-4-2-2-22-222-222-220000000000001-1-110000000000000000000000000000000000

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