Finite Group Databasebeta

← Group #11787683

Character table — Group #11787683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424242244444444441212121212121212446612121212121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1
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
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
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
χ91-11-11-1111-1-11-1-1-1-11111-1-111-11-1-11-11-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-1i−i1-1i−iii−i−iiiii−i−i−i−i1-11-1ii−i−i1-111-1-1ii−i−i1-1
χ101-11-11-1111-1-11-1-1-1-11111-1-111-11-1-11-11-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-1−ii1-1−iiii−i−iiiii−i−i−i−i-111-1−i−iii1-1-1-111−i−iii-11
χ111-11-11-1111-1-11-1-1-1-11111-1-111-11-1-11-11-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11i−i-11i−i−i−iii−i−i−i−iiiii1-1-11ii−i−i-1111-1-1−i−iii-11
χ121-11-11-1111-1-11-1-1-1-11111-1-111-11-1-11-11-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11−ii-11−ii−i−iii−i−i−i−iiiii-11-11−i−iii-11-1-111ii−i−i1-1
χ131-11-11-1111-1-11-1-1-1-11111-1-111-11-1-11-11-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-1i−i1-1i−i−i−iii−i−i−i−iiiii-111-1ii−i−i1-1-1-111ii−i−i-11
χ141-11-11-1111-1-11-1-1-1-11111-1-111-11-1-11-11-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-1−ii1-1−ii−i−iii−i−i−i−iiiii1-11-1−i−iii1-111-1-1−i−iii1-1
χ151-11-11-1111-1-11-1-1-1-11111-1-111-11-1-11-11-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11i−i-11i−iii−i−iiiii−i−i−i−i-11-11ii−i−i-11-1-111−i−iii1-1
χ161-11-11-1111-1-11-1-1-1-11111-1-111-11-1-11-11-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11−ii-11−iiii−i−iiiii−i−i−i−i1-1-11−i−iii-1111-1-1ii−i−i-11
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χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000000000-22-2200
χ192222222-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1220022002222-1-1-1-1-1-1-1-100-1-10000-1-10000000000
χ202222222-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-200-2-2-2-21111111100110000110000000000
χ212222222-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122002200-2-2-2-21111111100-1-10000-1-10000000000
χ222222222-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-21111-2-200-2-2002222-1-1-1-1-1-1-1-100110000110000000000
χ23222222-12222222-1-12-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002200-1-1-1-100-1-1-1-1000000
χ24222222-12222222-1-12-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2001111001111000000
χ25222222-12222222-1-12-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100220022000000000000-2-200-1-1-1-1001111000000
χ26222222-12222222-1-12-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100-2-200-2-20000000000002200111100-1-1-1-1000000
χ272222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-20000000000000000002200-2-200000000000000002-22-2000000000000
χ282222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-2000000000000000000-2-200220000000000000000-22-22000000000000
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χ302222-2-222-22-22222222-2-2-2-22-2-2-2222-222-222-2-2-2-2-2-2-200220000000000000000-2-200220000000000000000-2-20000220000000000
χ312222-2-22-1-22-22-1-122-121111-1-2-21-1-1-11-1-1-22211-2111100-1-13−33−30033−3−30033−3−32200-2-200000033−3−333−3−300-1-10000110000000000
χ322222-2-22-1-22-22-1-122-121111-1-2-21-1-1-11-1-1-22211-2111100-1-13−33−30033−3−30033−3−3-2-20022000000−3−333−3−33300110000-1-10000000000
χ332222-2-22-1-22-22-1-122-121111-1-2-21-1-1-11-1-1-22211-2111100-1-1−33−3300−3−33300−3−3332200-2-2000000−3−333−3−33300-1-10000110000000000
χ342222-2-22-1-22-22-1-122-121111-1-2-21-1-1-11-1-1-22211-2111100-1-1−33−3300−3−33300−3−333-2-2002200000033−3−333−3−300110000-1-10000000000
χ352222-2-2-122-22-222-1-12-12222-111-2-1-1-1-2-2-2-111-1-1-1-1-11100110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002200-2-20000000000000000-11-1100−i3i3−i3i3000000
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χ372222-2-2-122-22-222-1-12-12222-111-2-1-1-1-2-2-2-111-1-1-1-1-11100110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3002200-2-20000000000000000-11-1100i3−i3i3−i3000000
χ382222-2-2-122-22-222-1-12-12222-111-2-1-1-1-2-2-2-111-1-1-1-1-11100110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300-2-2002200000000000000001-11-100−i3i3−i3i3000000
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χ402-22-22-222-222-2-2-2-2-222-2-22222-22-2-22-2-22-2-22-2-22222-200-2200000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ412-22-22-22-12-2-2211-2-2-12-1-111-12-2-111-11-1122-2-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii2-2002-2002i2i−2i−2i−i−i−i−iiiii00-110000-110000000000
χ422-22-22-22-12-2-2211-2-2-12-1-111-12-2-111-11-1122-2-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii-2200-2200−2i−2i2i2iiiii−i−i−i−i001-100001-10000000000
χ432-22-22-22-12-2-2211-2-2-12-1-111-12-2-111-11-1122-2-1-1-211-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i2-2002-200−2i−2i2i2iiiii−i−i−i−i00-110000-110000000000
χ442-22-22-22-12-2-2211-2-2-12-1-111-12-2-111-11-1122-2-1-1-211-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i-2200-22002i2i−2i−2i−i−i−i−iiiii001-100001-10000000000
χ452-22-22-2-122-2-22-2-2112-122-2-2-1-11211-1-22-2-1-11-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii002i−2i002i−2i0000000000002-200−i−iii00-1-111000000
χ462-22-22-2-122-2-22-2-2112-122-2-2-1-11211-1-22-2-1-11-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii00−2i2i00−2i2i000000000000-2200ii−i−i0011-1-1000000
χ472-22-22-2-122-2-22-2-2112-122-2-2-1-11211-1-22-2-1-11-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i002i−2i002i−2i000000000000-2200−i−iii0011-1-1000000
χ482-22-22-2-122-2-22-2-2112-122-2-2-1-11211-1-22-2-1-11-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i00−2i2i00−2i2i0000000000002-200ii−i−i00-1-111000000
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χ502-22-2-222222-2-2-2-2-2-22222-2-22-22-2-2-222-222-2222-2-2-2-2200-22000000000000000000−2i2i002i−2i0000000000000000−2i2i2i−2i000000000000
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χ924-4-4400440000-44-44-4-400004000-44-400000000000000000000000000000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ934-4-44004-200002-2-442-423−23−2323-20002-2200000023−230−23230000000000000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ944-4-44004-200002-2-442-423−23−2323-20002-2200000023−230−2323000000000000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ954-4-44004-200002-2-442-4−232323−23-20002-22000000−2323023−230000000000000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000
χ964-4-44004-200002-2-442-4−232323−23-20002-22000000−2323023−23000000000000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000
χ9788-8-800-4800008-8-44-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
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
χ1008-8-8800-480000-884-4-840000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-44-44443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-44-444−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.