Finite Group Databasebeta

← Group #13168046

Character table — Group #13168046

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order12223336666666663334666666666121222443666121212121212121212121212244466666612121212121212121212224444441212121266666121212121212121212121224661212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-111111-1-11111-1-11111-1-11111-1-11111-111-1-11-111111-1-111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-11-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-1-111-1-1-1-1-1-1-11-1-1-1-111-1111
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11-1-111-111-1-1111111-11-1-1-1-111-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-111111111111111111-11-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111111-1-111-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-111111-1-1-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11-1-1-1-1-111111-1-1-111111-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-111-1-1-111-1-11111-1-111-1-1-1-1-1-1111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-111-111-1-11111-1-111-1-111-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-111111-1-1-1-11-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111111-1-1-11-11
χ17222222-1-1-1-12222222-1-122-1-1-1-12-1-12222200-1-1-1-1-12-1-1-1-122-1-1-1-1202222-1-1-1-100002222002200000000002-1-1-1-1-1-10-1-100-1-10020-1-10000-1000
χ18222222-1-1-1-12222222-1-122-1-1-1-12-1-12222200-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2222-1-1110000-2-22200-2-20000000000-2-1-111-110-1-1001100-201100001000
χ19222222-1-1-1-12222222-1-122-1-1-1-12-1-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1202-2-2-211-1-1000022-2-200-2-20000000000211-1-11-101100-1-100-201100001000
χ20222222-1-1-1-12222222-1-122-1-1-1-12-1-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2-2-2-211110000-2-2-2-200220000000000-211111101100110020-1-10000-1000
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χ22222222-1-1-1-12222222-1-1-22-1-1-1-12-1-12-2-22200-1-1-1-11-21111-2-21111-202-222-1-111000022-2-200-2-20000000000-2-1-1111-101100-1-10020110000-1000
χ23222222-1-1-1-12222222-1-1-22-1-1-1-12-1-12-2-2-2-200-1-1-1-11-21111-2-2111120-22-2-211-1-10000-2-22200-2-20000000000211-1-1-110-1-100110020110000-1000
χ24222222-1-1-1-12222222-1-1-22-1-1-1-12-1-12-2-2-2-200-1-1-1-11-21111-2-21111-2022-2-211110000222200220000000000-21111-1-10-1-100-1-100-20-1-100001000
χ2522222-122222-12-1-12-12-12-12-12-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10202-1-1220022-1-100-1-1-1-100222200-1-1-1-10-1-100202-1-1-1-100-1-10000-1-1000000
χ2622222-122222-12-1-12-12-12-12-12-1-12-1-1-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-10-202-1-12200-2-21100-1-11100-2-2-2-20011110-1-10020-2-1-1110011000011000000
χ2722222-122222-12-1-12-12-12-12-12-1-12-1-1-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1020-211-2-20022-1-10011-1-100-2-2-2-200111101100-20211-1-100-1-1000011000000
χ2822222-122222-12-1-12-12-12-12-12-1-12-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-10-20-211-2-200-2-21100111100222200-1-1-1-101100-20-2111100110000-1-1000000
χ2922222-122222-12-1-12-12-1-2-12-12-1-12-1-1112222-1-1-1-1-2-2-2-2111111110-20-2-1-1220022-1-100111100-2-2220011110-1-100-20-2111100-1-10000-1-1000000
χ3022222-122222-12-1-12-12-1-2-12-12-1-12-1-11122-2-2-1-1-1-1-2-2-2-211111111020-2-1-12200-2-2110011-1-10022-2-200-1-1-1-10-1-100-20211-1-10011000011000000
χ3122222-122222-12-1-12-12-1-2-12-12-1-12-1-111-2-222-1-1-1-1-2-2-2-2111111110-20211-2-20022-1-100-1-1110022-2-200-1-1-1-10110020-2-1-11100-1-1000011000000
χ3222222-122222-12-1-12-12-1-2-12-12-1-12-1-111-2-2-2-2-1-1-1-1-2-2-2-211111111020211-2-200-2-21100-1-1-1-100-2-22200111101100202-1-1-1-100110000-1-1000000
χ332222-122222-12-122-1-1-122-1-12-12-1-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-12220000022-1-122-1-10022000000220000-100-1-102-100-1-1-1-1-1-1020000-1-10-100
χ342222-122222-12-122-1-1-122-1-12-12-1-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-1-22-200000-2-2-1-122110022000000-2-20000100110-2-100-1-111-1-10-20000110100
χ352222-122222-12-122-1-1-122-1-12-12-1-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-12-22000002211-2-2-1-100-2-2000000-2-20000-100-1-10210011-1-1110-20000110100
χ362222-122222-12-122-1-1-122-1-12-12-1-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-200000-2-211-2-21100-2-2000000220000100110-2100111111020000-1-10-100
χ372222-122222-12-122-1-1-12-2-1-12-12-1-12-1-2-20022-1-1-1-1-2111-2-21111112-2-20000022-1-1221100-2-2000000-2-20000-100-1-10-21001111-1-1020000110-100
χ382222-122222-12-122-1-1-12-2-1-12-12-1-12-1-2-20022-1-1-1-1-2111-2-2111111-2-2200000-2-2-1-122-1-100-2-2000000220000100110210011-1-1-1-10-20000-1-10100
χ392222-122222-12-122-1-1-12-2-1-12-12-1-12-1-2-200-2-2-1-1-1-1-2111-2-211111122-2000002211-2-2110022000000220000-100-1-10-2-100-1-111110-20000-1-10100
χ402222-122222-12-122-1-1-12-2-1-12-12-1-12-1-2-200-2-2-1-1-1-1-2111-2-2111111-22200000-2-211-2-2-1-10022000000-2-200001001102-100-1-1-1-111020000110-100
χ4122-2-2222-22-2-2-222-2-22220-2-22-2-222-2-2002-22i−2i22-2-200000000000000002-22-2002i−2i2i−2i00000000002i−2i00000002-2000000000002i−2i00002i−2i000000
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χ4322-2-2222-22-2-2-222-2-22220-2-22-2-222-2-200-222i−2i22-2-20000000000000000-22-22002i−2i2i−2i0000000000−2i2i0000000-22000000000002i−2i0000−2i2i000000
χ4422-2-2222-22-2-2-222-2-22220-2-22-2-222-2-200-22−2i2i22-2-20000000000000000-22-2200−2i2i−2i2i00000000002i−2i0000000-2200000000000−2i2i00002i−2i000000
χ4522-2-22-12-22-2-212-11-2-12-101-2-1-21-12113−32-22i−2i-1-11100003−33−333−3−30000-112-2002i−2i−ii003−3−i3i300002i−2i00−i3−i3i3i30-11000003−3−i3i300−ii0000−ii000000
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χ4722-2-22-12-22-2-212-11-2-12-101-2-1-21-12113−3-222i−2i-1-11100003−33−333−3−300001-1-22002i−2i−ii00−33−i3i30000−2i2i00i3i3−i3−i301-100000−33−i3i300−ii0000i−i000000
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χ4922-2-22-12-22-2-212-11-2-12-101-2-1-21-1211−332-22i−2i-1-1110000−33−33−3−3330000-112-2002i−2i−ii00−33i3−i300002i−2i00i3i3−i3−i30-1100000−33i3−i300−ii0000−ii000000
χ5022-2-22-12-22-2-212-11-2-12-101-2-1-21-1211−332-2−2i2i-1-1110000−33−33−3−3330000-112-200−2i2ii−i00−33−i3i30000−2i2i00−i3−i3i3i30-1100000−33−i3i300i−i0000i−i000000
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χ532-22-22222-2-222-2-2-2-22220-2-2-222-2-2-220000002-2-22000000000000000000000000000000002-22i−2i002i−2i2i−2i2i−2i0000000000000000002-2002i−2i0000
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χ894-4-4444-222-2-4-4-4-4444-2-204-2222-42-2-4000000-22-22000000000000000000002i3−2i300000000000000000000000002i3−2i300000000000000000000000
χ904-4-444-24-4-44-42-42-24-24-20-242-422-4-22000000-22-22000000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ914-4-444-24-4-44-42-42-24-24-20-242-422-4-22000000-22-220000000000000000000000000000000000000000−232323−230000000000000000000000000000
χ924-4-44-244-4-442-42-44-2-2-240-2-2-42-42242000000-22-220000000000000000000000000023−23000000000000000000000000000023−2300000000000000
χ934-4-44-244-4-442-42-44-2-2-240-2-2-42-42242000000-22-2200000000000000000000000000−23230000000000000000000000000000−232300000000000000
χ944-4-44-24-222-22-42-44-2-21-20-212-122-1-220000001-11-1003i−3i00003i−3i3i−3i00000000−2i32i3000023−230000000000000000000i3−i30000000−3300000000000000
χ954-4-44-24-222-22-42-44-2-21-20-212-122-1-220000001-11-1003i−3i00003i−3i3i−3i000000002i3−2i30000−23230000000000000000000−i3i300000003−300000000000000
χ964-4-44-24-222-22-42-44-2-21-20-212-122-1-220000001-11-100−3i3i0000−3i3i−3i3i00000000−2i32i30000−23230000000000000000000i3−i300000003−300000000000000
χ974-4-44-24-222-22-42-44-2-21-20-212-122-1-220000001-11-100−3i3i0000−3i3i−3i3i000000002i3−2i3000023−230000000000000000000−i3i30000000−3300000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-44-444-8-48-84-42-404-2-4-24-424400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44-4444-4-4442220-2-22-2-222-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-44-4444-4-4442220-2-22-2-222-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4-4448-4-844-8-4-42044-2-4244-2-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4-444-484-8-84-42-404-242-44-24-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-488-8-8-4-444442-4-40-244-4-4-24420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4-444-4-444442220-2-2-222-2-2-22000000-111-100000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-444-4-444442220-2-2-222-2-2-22000000-111-1000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-444-4-84-84-48-4-420-4-4-24-244240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-8-884444-4-42-4-402-4444-24-4-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-44444-4-4222022-2-2-2-2-22-2000000-11-11006i−6i0000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-44444-4-4222022-2-2-2-2-22-2000000-11-1100−6i6i00003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000

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