Finite Group Databasebeta

← Group #11788636

Character table — Group #11788636

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212888844121212121212121212121212121212121212121222448824242424242424242266666688121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1
χ91-1-111-1111-11-1-111-1-1-11-1-1111-111-1-1-11-111-111-1-1-1ii−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-1i−iiiii−i−i−i−i1-11-111-1-1i−i1-1ii−i−iii−i−i1-1
χ101-1-111-1111-11-1-111-1-1-11-1-1111-111-1-1-11-111-111-1-1-1ii−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-11i−iiiii−i−i−i−i1-1-1111-1-1−ii-11−i−iii−i−iii-11
χ111-1-111-1111-11-1-111-1-1-11-1-1111-111-1-1-11-111-111-1-1-1ii−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-1i−iiiii−i−i−i−i-111-1-1-111−ii1-1−i−iiiii−i−i-11
χ121-1-111-1111-11-1-111-1-1-11-1-1111-111-1-1-11-111-111-1-1-1ii−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-11i−iiiii−i−i−i−i-11-11-1-111i−i-11ii−i−i−i−iii1-1
χ131-1-111-1111-11-1-111-1-1-11-1-1111-111-1-1-11-111-111-1-1-1−i−iiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-11-1−ii−i−i−i−iiiii-111-1-1-111i−i1-1ii−i−i−i−iii-11
χ141-1-111-1111-11-1-111-1-1-11-1-1111-111-1-1-11-111-111-1-1-1−i−iiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-11−ii−i−i−i−iiiii-11-11-1-111−ii-11−i−iiiii−i−i1-1
χ151-1-111-1111-11-1-111-1-1-11-1-1111-111-1-1-11-111-111-1-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-11-1−ii−i−i−i−iiiii1-11-111-1-1−ii1-1−i−iii−i−iii1-1
χ161-1-111-1111-11-1-111-1-1-11-1-1111-111-1-1-11-111-111-1-1-1−i−iii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-11−ii−i−i−i−iiiii1-1-1111-1-1i−i-11ii−i−iii−i−i-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-122222-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ202222222-122222-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1222-122222-2-2-2-211-2-211-1-1-1-111111111000022-1-1-1-1-1-1-1-1-2-200111100000000000000
χ212222222-122222-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200111100000000000000
χ222222222-122222-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-2-2-211-2-211-1-1-1-1111111110000-2-2111111112200-1-1-1-100000000000000
χ23222222-122222-1222222-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1000022-1-1-1-1-1-1000000
χ24222222-122222-1222222-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000110000-2-2111111000000
χ25222222-122222-1222222-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-10000-2-211-2-211-2-2-1-1-1-1111111112222000000000000-1-10000-2-2-1-11111000000
χ26222222-122222-1222222-12-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-10000-2-211-2-211-2-2-1-1-1-111111111-2-2-2-20000000000001100002211-1-1-1-1000000
χ272222-2-2222-2-222-2-22-2-222222-2-2-2-22-2-2222-2-22-222-2222200000000002-22-2000000000000-2-222-2-222-2-20000000000000000000000
χ282222-2-2222-2-222-2-22-2-222222-2-2-2-22-2-2222-2-22-222-2-2-2-2-200000000002-22-200000000000022-2-222-2-2220000000000000000000000
χ292222-2-222-222-22-2-22-2-222222-2-2-2-22-2-222-222-22-2-2200000000000000-22-220000000022-2-200000000000022000000-2-20000000000
χ302222-2-222-222-22-2-22-2-222222-2-2-2-22-2-222-222-22-2-2200000000000000-22-2200000000-2-222000000000000-2-2000000220000000000
χ312222-2-22-12-2-22211-111-12-12-1-2-211-111-1-1-1112-22-1-222220000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i30000-2-2-1-111-1-1110000−i3i3−i3i300000000000000
χ322222-2-22-12-2-22211-111-12-12-1-2-211-111-1-1-1112-22-1-222220000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i30000-2-2-1-111-1-1110000i3−i3i3−i300000000000000
χ332222-2-22-12-2-22211-111-12-12-1-2-211-111-1-1-1112-22-1-2-2-2-2-20000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i300002211-1-111-1-10000i3−i3i3−i300000000000000
χ342222-2-22-12-2-22211-111-12-12-1-2-211-111-1-1-1112-22-1-2-2-2-2-20000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i300002211-1-111-1-10000−i3i3−i3i300000000000000
χ352222-2-2-12-222-2-1-2-22-2-22-12-1-11111-111-1-1-2221-11-2-1000000−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i322-2-2000000000000-1-100000011−i3i3−i3i3000000
χ362222-2-2-12-222-2-1-2-22-2-22-12-1-11111-111-1-1-2221-11-2-1000000−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i3-2-22200000000000011000000-1-1i3−i3i3−i3000000
χ372222-2-2-12-222-2-1-2-22-2-22-12-1-11111-111-1-1-2221-11-2-1000000i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i322-2-2000000000000-1-100000011i3−i3i3−i3000000
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χ392-2-222-222-22-22-222-2-2-22-2-2222-222-2-2-22-2-2-22-2-222200000000000000-2-222000000000000000000000000000000000000002-2-2200
χ402-2-222-222-22-22-222-2-2-22-2-2222-222-2-2-22-2-2-22-2-222200000000000000-2-22200000000000000000000000000000000000000-222-200
χ412-2-222-22-12-22-2-2-1-1111-1-212-12-2-1-1111-11-1-1122-21-22i2i−2i−2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00002i−2i−i−i−i−iiiii2-200-1-11100000000000000
χ422-2-222-22-12-22-2-2-1-1111-1-212-12-2-1-1111-11-1-1122-21-22i2i−2i−2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00002i−2i−i−i−i−iiiii-220011-1-100000000000000
χ432-2-222-22-12-22-2-2-1-1111-1-212-12-2-1-1111-11-1-1122-21-2−2i−2i2i2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii0000−2i2iiiii−i−i−i−i-220011-1-100000000000000
χ442-2-222-22-12-22-2-2-1-1111-1-212-12-2-1-1111-11-1-1122-21-2−2i−2i2i2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i0000−2i2iiiii−i−i−i−i2-200-1-11100000000000000
χ452-2-222-2-122-22-2122-2-2-221-2-1-1-11-1-1111-1122-2-1-11-2100002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii2-22-2000000000000-1100002i−2i-11−i−iii000000
χ462-2-222-2-122-22-2122-2-2-221-2-1-1-11-1-1111-1122-2-1-11-2100002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii-22-220000000000001-10000−2i2i1-1ii−i−i000000
χ472-2-222-2-122-22-2122-2-2-221-2-1-1-11-1-1111-1122-2-1-11-210000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i2-22-2000000000000-110000−2i2i-11ii−i−i000000
χ482-2-222-2-122-22-2122-2-2-221-2-1-1-11-1-1111-1122-2-1-11-210000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i-22-220000000000001-100002i−2i1-1−i−iii000000
χ492-2-22-222222-2-2-2-2-2-2222-2-222-22-2-2-2222-22-222-2-2-222i2i−2i−2i00000000002-2-22000000000000−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ502-2-22-222222-2-2-2-2-2-2222-2-222-22-2-2-2222-22-222-2-2-22−2i−2i2i2i00000000002-2-220000000000002i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
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χ532-2-22-222-122-2-2-2111-1-1-1-212-1-22111-1-1-11-11-12-2-2122i2i−2i−2i00003−300−33-111-133−3−3−3−3330000−2i2i−i−iiiii−i−i0000−i3i3i3−i300000000000000
χ542-2-22-222-122-2-2-2111-1-1-1-212-1-22111-1-1-11-11-12-2-2122i2i−2i−2i0000−33003−3-111-1−3−33333−3−30000−2i2i−i−iiiii−i−i0000i3−i3−i3i300000000000000
χ552-2-22-222-122-2-2-2111-1-1-1-212-1-22111-1-1-11-11-12-2-212−2i−2i2i2i00003−300−33-111-133−3−3−3−33300002i−2iii−i−i−i−iii0000i3−i3−i3i300000000000000
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χ572-2-22-22-12-2-2221-2-2-22221-2-1-11-1111-1-1-11-22-21-1-1210000003−300−33001-1-113−33−3−33−332-2-22000000000000-110000001-13−3−33000000
χ582-2-22-22-12-2-2221-2-2-22221-2-1-11-1111-1-1-11-22-21-1-1210000003−300−33001-1-113−33−3−33−33-222-20000000000001-1000000-11−333−3000000
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χ924-4-44-44-2444-4-42-4-4-44442-4-2-22-2222-2-2-224-44-222-4-200000000000000-222-200000000000000000000000000000000000000000000
χ934-4-44-44-2-244-4-42222-2-2-222-212-2-1-1-1111-1-22-2-2222-20000000023−2300−23231-1-11−3−33333−3−3000000000000000000000000000000000000
χ944-4-44-44-2-244-4-42222-2-2-222-212-2-1-1-1111-1-22-2-2222-200000000−23230023−231-1-1133−3−3−3−333000000000000000000000000000000000000
χ954-4-44-44-2-2-4-4442222-2-2-222-212-2-1-1-1111-12-222-2-2-2200000023−2300−232300-111-1−33−333−33−3000000000000000000000000000000000000
χ964-4-44-44-2-2-4-4442222-2-2-222-212-2-1-1-1111-12-222-2-2-22000000−23230023−2300-111-13−33−3−33−33000000000000000000000000000000000000
χ9788-8-800-480000-400800-84-84-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4−4i34i3-4−4i34i344442002i3−2i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44i3−4i3-44i3−4i34444200−2i32i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-480000400-800-8-484-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004−4i34i344i3−4i34-4-442002i3−2i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4000044i3−4i34−4i34i34-4-44200−2i32i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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