Finite Group Databasebeta

← Group #11786700

Character table — Group #11786700

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424242244444444441212121212121212446612121212121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-11-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-1i−i1-1i−i11-1-11111-1-1-1-1i−i1-1ii−i−i1-1ii−i−iii−i−i1-1
χ101-11-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-1−ii1-1−ii-1-111-1-1-1-11111i−i1-1−i−iii1-1ii−i−i−i−iii-11
χ111-11-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11i−i-11i−i11-1-11111-1-1-1-1−ii-11ii−i−i-11−i−iii−i−iii-11
χ121-11-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11−ii-11−ii-1-111-1-1-1-11111−ii-11−i−iii-11−i−iiiii−i−i1-1
χ131-11-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-1i−i1-1i−i-1-111-1-1-1-11111−ii1-1ii−i−i1-1−i−iiiii−i−i-11
χ141-11-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-1−ii1-1−ii11-1-11111-1-1-1-1−ii1-1−i−iii1-1−i−iii−i−iii1-1
χ151-11-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11i−i-11i−i-1-111-1-1-1-11111i−i-11ii−i−i-11ii−i−i−i−iii1-1
χ161-11-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11−ii-11−ii11-1-11111-1-1-1-1i−i-11−i−iii-11ii−i−iii−i−i-11
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χ202222222-12222-1222-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200000000000000-2-2110000111111000000
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χ222222222-12222-1222-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-200-2-2000000000000002211000011-1-1-1-1000000
χ23222222-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1002200222222-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
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χ25222222-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111100220022-2-2-2-2111111110000-1-1-1-1000000000000
χ26222222-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111100-2-200-2-22222-1-1-1-1-1-1-1-100001111000000000000
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χ282222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-20000000000000000-2-200220000000000000000-2-20000220000000000
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χ332222-2-22-12-22-2-1222-1-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32200-2-20000000000000000-1-1000011i3−i3i3−i3000000
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χ362222-2-2-12-22-222-1-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-13−33−3003−33−3003−33−300-2-200220000−3−333−3−33300001-11-1000000000000
χ372222-2-2-12-22-222-1-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-1−33−3300−33−3300−33−33002200-2-20000−3−333−3−3330000-11-11000000000000
χ382222-2-2-12-22-222-1-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-1−33−3300−33−3300−33−3300-2-20022000033−3−333−3−300001-11-1000000000000
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χ402-22-22-22222-2-2-22-2-22-222-2-222-22-2-22-2-222-2222-2-2-2-2200-220000000000000000-22002-20000000000000000-2200002-20000000000
χ412-22-22-222-2-222-22-2-22-2-2-22222-22-2-22-22-2-22-2-2-2222-22002-20000000000000000002i−2i00−2i2i00000000000000002i−2i−2i2i000000000000
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χ432-22-22-22-122-2-212-2-2-1122-2-2-121-111-1-2-22-11-1-1-11111-1001-100003−333−3−3−33−3−3332-200-220000000000000000-1100001-13−3−33000000
χ442-22-22-22-122-2-212-2-2-1122-2-2-121-111-1-2-22-11-1-1-11111-1001-100003−333−3−3−33−3−333-22002-200000000000000001-10000-11−333−3000000
χ452-22-22-22-122-2-212-2-2-1122-2-2-121-111-1-2-22-11-1-1-11111-1001-10000−33−3−3333−333−3−32-200-220000000000000000-1100001-1−333−3000000
χ462-22-22-22-122-2-212-2-2-1122-2-2-121-111-1-2-22-11-1-1-11111-1001-10000−33−3−3333−333−3−3-22002-200000000000000001-10000-113−3−33000000
χ472-22-22-2-12-2-222-2-1112-211-1-1-1-1-2211-11-11-22-2112-1-11-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i3002i−2i00−2i2i0000−3−33333−3−30000−iii−i000000000000
χ482-22-22-2-12-2-222-2-1112-211-1-1-1-1-2211-11-11-22-2112-1-11-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i300−2i2i002i−2i000033−3−3−3−3330000i−i−ii000000000000
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χ552-22-2-222-12-2-2212-2-2-1122-2-2-1-2-1111-122-2-1-11-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i2-2002-200000000000000−2i2i-110000-11ii−i−i000000
χ562-22-2-222-12-2-2212-2-2-1122-2-2-1-2-1111-122-2-1-11-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i-2200-22000000000000002i−2i1-100001-1−i−iii000000
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χ582-22-2-22-122-2-22-2-1112-2-1-111-112-211-1-1-1122-2-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii00−2i2i00−2i2i-2-2221111-1-1-1-10000ii−i−i000000000000
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χ944-4-4400-240000-422-2-4423−23−2323-20002-2200000023−230−2323000000000000000000000000000000-222-21+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000
χ954-4-4400-240000-422-2-44−232323−23-20002-22000000−2323023−230000000000000000000000000000002-2-22−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000
χ964-4-4400-240000-422-2-44−232323−23-20002-22000000−2323023−23000000000000000000000000000000-222-21−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000
χ9788-8-8008-40000-4-88-8440000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400004-8-884-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000444-44-443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444-44-4−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000000000

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