Finite Group Databasebeta

← Group #11775722

Character table — Group #11775722

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order12223344446666661212121244443466688881212121212121212121212122424242424242424224412121212121212121212121212242424242424242424242424466888888881212242424242424242444242424248888121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1
χ9111111-1-1-1-1111111-1-1-1-1111111111ii−i−i11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i1-1-1ii−i−iii−i−i11iiii−i−i−i−i1-1ii−i−iii−i−i1-11-1
χ10111111-1-1-1-1111111-1-1-1-1111111111ii−i−i11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i1-1-1ii−i−i−i−iii11iiii−i−i−i−i-11−i−iii−i−iii-11-11
χ11111111-1-1-1-1111111-1-1-1-1111111111−i−iii11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii1-1-1−i−iiiii−i−i11−i−i−i−iiiii-11ii−i−iii−i−i-11-11
χ12111111-1-1-1-1111111-1-1-1-1111111111−i−iii11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii1-1-1−i−iii−i−iii11−i−i−i−iiiii1-1−i−iii−i−iii1-11-1
χ13111111-1-1-1-1111111-1-1-1-1-1-1-1-111111ii−i−i11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i-111−i−iiiii−i−i-1-1−i−i−i−iiiii1-1ii−i−i−i−iii1-1-11
χ14111111-1-1-1-1111111-1-1-1-1-1-1-1-111111ii−i−i11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i-111−i−iii−i−iii-1-1−i−i−i−iiiii-11−i−iiiii−i−i-111-1
χ15111111-1-1-1-1111111-1-1-1-1-1-1-1-111111−i−iii11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii-111ii−i−iii−i−i-1-1iiii−i−i−i−i-11ii−i−i−i−iii-111-1
χ16111111-1-1-1-1111111-1-1-1-1-1-1-1-111111−i−iii11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii-111ii−i−i−i−iii-1-1iiii−i−i−i−i1-1−i−iiiii−i−i1-1-11
χ1722222222-2-2222222222222222-22220000-2-2-2-2222222-2-200000000-2-22222222222-2-2-2-2-2000000000000-2-2-200000000-2-20000000000000000000000
χ1822222222-2-22222222222-2-2-2-22-22220000-2-2-2-2222222-2-20000000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022200000000220000000000000000000000
χ19222222-2-222222222-2-2-2-222222-22220000-2-222-2-2-2-2-2-2220000000022-2-22222-2-2-2-2-2-2-222000000000000-22200000000-2-20000000000000000000000
χ20222222-2-222222222-2-2-2-2-2-2-2-22-22220000-2-222-2-2-2-2-2-22200000000-2-222-2-2-2-22222-2-2-2220000000000002-2-200000000220000000000000000000000
χ2122222-122222-1-1-122-1-1-1-12222-12-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12-1-122220000-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-122222-1-1-122-1-1-1-12222-12-1-1-1-2-2-2-2-1-1-1-122-1-1-1-122111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-211112-1-1-2-2-2-20000-1-11111111100000000000000
χ2322222-122222-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-211-2-2-2-20000111111111100000000000000
χ2422222-122222-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-2-2-2-2-1-1-1-122-1-1-1-12211111111-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-2112222000011-1-1-1-1-1-1-1-100000000000000
χ2522222-122-2-22-1-1-122-1-1-1-12222-1-2-1-1-10000111122-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i3-2-222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300−i3−i3i3i3-2110000000011−i3−i3i3i3−i3−i3i3i300000000000000
χ2622222-122-2-22-1-1-122-1-1-1-12222-1-2-1-1-10000111122-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i3-2-222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300i3i3−i3−i3-2110000000011i3i3−i3−i3i3i3−i3−i300000000000000
χ2722222-122-2-22-1-1-122-1-1-1-1-2-2-2-2-1-2-1-1-10000111122-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i322-2-211111111-2111100−i3−i3i3i300−i3−i3i3i32-1-100000000-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ2822222-122-2-22-1-1-122-1-1-1-1-2-2-2-2-1-2-1-1-10000111122-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i322-2-211111111-2111100i3i3−i3−i300i3i3−i3−i32-1-100000000-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ2922222-1-2-2222-1-1-12211112222-1-2-1-1-1000011-1-1-2-211112233−3−3−3−33322-2-2-1-1-1-11111-211-1-10033−3−300−3−333-2-1-1000000001133−3−3−3−33300000000000000
χ3022222-1-2-2222-1-1-12211112222-1-2-1-1-1000011-1-1-2-2111122−3−33333−3−322-2-2-1-1-1-11111-211-1-100−3−3330033−3−3-2-1-10000000011−3−33333−3−300000000000000
χ3122222-1-2-2222-1-1-1221111-2-2-2-2-1-2-1-1-1000011-1-1-2-211112233−3−3−3−333-2-2221111-1-1-1-1-211-1-10033−3−300−3−33321100000000-1-1−3−33333−3−300000000000000
χ3222222-1-2-2222-1-1-1221111-2-2-2-2-1-2-1-1-1000011-1-1-2-2111122−3−33333−3−3-2-2221111-1-1-1-1-211-1-100−3−3330033−3−321100000000-1-133−3−3−3−33300000000000000
χ3322222-1-2-2-2-22-1-1-12211112222-12-1-1-12i2i−2i−2i-1-111-2-21111-2-2−i−i−i−iiiii-2-2-2-2-1-1-1-111112-1-1112i2i−i−i−i−i−2i−2iiiii2112i2i−2i−2i0000-1-1−i−i−i−iiiii00000000000000
χ3422222-1-2-2-2-22-1-1-12211112222-12-1-1-1−2i−2i2i2i-1-111-2-21111-2-2iiii−i−i−i−i-2-2-2-2-1-1-1-111112-1-111−2i−2iiiii2i2i−i−i−i−i211−2i−2i2i2i0000-1-1iiii−i−i−i−i00000000000000
χ3522222-1-2-2-2-22-1-1-1221111-2-2-2-2-12-1-1-12i2i−2i−2i-1-111-2-21111-2-2−i−i−i−iiiii22221111-1-1-1-12-1-1112i2i−i−i−i−i−2i−2iiiii-2-1-1−2i−2i2i2i000011iiii−i−i−i−i00000000000000
χ3622222-1-2-2-2-22-1-1-1221111-2-2-2-2-12-1-1-1−2i−2i2i2i-1-111-2-21111-2-2iiii−i−i−i−i22221111-1-1-1-12-1-111−2i−2iiiii2i2i−i−i−i−i-2-1-12i2i−2i−2i000011−i−i−i−iiiii00000000000000
χ372222-122222-1222-1-122220000-12-1-1-122222222-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000002222000000000022-1-1-1-10000-1-100
χ382222-122222-1222-1-122220000-12-1-1-122222222-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-2-2-2-20000000000-2-2111100001100
χ392222-122222-1222-1-122220000-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111000000022220000000000-2-2-1-1-1-100001100
χ402222-122222-1222-1-122220000-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-11111111111110000000-2-2-2-200000000002211110000-1-100
χ412222-12-2-2-2-2-1222-1-1-2-2-2-20000-12-1-1-12i2i−2i−2i22-2-2111111112i2i2i2i−2i−2i−2i−2i000000000000-1-1-111−i−i−i−i−i−iiiiiii00000002i2i−2i−2i00000000002-2−i−iii0000-1100
χ422222-12-2-2-2-2-1222-1-1-2-2-2-20000-12-1-1-12i2i−2i−2i22-2-2111111112i2i2i2i−2i−2i−2i−2i000000000000-1-1-111−i−i−i−i−i−iiiiiii0000000−2i−2i2i2i0000000000-22ii−i−i00001-100
χ432222-12-2-2-2-2-1222-1-1-2-2-2-20000-12-1-1-1−2i−2i2i2i22-2-211111111−2i−2i−2i−2i2i2i2i2i000000000000-1-1-111iiiiii−i−i−i−i−i−i00000002i2i−2i−2i0000000000-22−i−iii00001-100
χ442222-12-2-2-2-2-1222-1-1-2-2-2-20000-12-1-1-1−2i−2i2i2i22-2-211111111−2i−2i−2i−2i2i2i2i2i000000000000-1-1-111iiiiii−i−i−i−i−i−i0000000−2i−2i2i2i00000000002-2ii−i−i0000-1100
χ4522-2-222002i−2i-22-2-22-200002i2i−2i−2i202-2-21+i−1−i1−i−1+i002i−2i0000002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2-2002i2i−2i−2i00000002i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i02-21−i−1+i1+i−1−i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ4622-2-222002i−2i-22-2-22-200002i2i−2i−2i202-2-2−1−i1+i−1+i1−i002i−2i0000002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-2002i2i−2i−2i00000002i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i02-2−1+i1−i−1−i1+i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ4722-2-222002i−2i-22-2-22-20000−2i−2i2i2i202-2-21+i−1−i1−i−1+i002i−2i0000002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i-2200−2i−2i2i2i00000002i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i0-22−1+i1−i−1−i1+i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ4822-2-222002i−2i-22-2-22-20000−2i−2i2i2i202-2-2−1−i1+i−1+i1−i002i−2i0000002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i-2200−2i−2i2i2i00000002i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i0-221−i−1+i1+i−1−i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ4922-2-22200−2i2i-22-2-22-200002i2i−2i−2i202-2-21−i−1+i1+i−1−i00−2i2i000000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-22002i2i−2i−2i0000000−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i0-22−1−i1+i−1+i1−i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ5022-2-22200−2i2i-22-2-22-200002i2i−2i−2i202-2-2−1+i1−i−1−i1+i00−2i2i000000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-22002i2i−2i−2i0000000−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i0-221+i−1−i1−i−1+i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ5122-2-22200−2i2i-22-2-22-20000−2i−2i2i2i202-2-21−i−1+i1+i−1−i00−2i2i000000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2-200−2i−2i2i2i0000000−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i02-21+i−1−i1−i−1+i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ5222-2-22200−2i2i-22-2-22-20000−2i−2i2i2i202-2-2−1+i1−i−1−i1+i00−2i2i000000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-200−2i−2i2i2i0000000−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i02-2−1−i1+i−1+i1−i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ5322-2-22-1002i−2i-2-1112-2−i3−i3i3i32i2i−2i−2i-10-1111+i−1−i1−i−1+i3−3−ii00−i3−i3i3i32i−2i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ112-200−i−iii33−3−303−3−ii1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110-111−i−1+i1+i−1−i0000−i3i3−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700000000000000
χ5422-2-22-1002i−2i-2-1112-2−i3−i3i3i32i2i−2i−2i-10-111−1−i1+i−1+i1−i3−3−ii00−i3−i3i3i32i−2iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ112-200−i−iii33−3−303−3−ii−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110-11−1+i1−i−1−i1+i0000−i3i3ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700000000000000
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χ1034-44-4-244i−4i002-44-42-24i−4i4i−4i0000-202-2200000000−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000−1−i1+i−1+i1−i00000000
χ1044-44-4-244i−4i002-44-42-24i−4i4i−4i0000-202-2200000000−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000001+i−1−i1−i−1+i00000000
χ1054-44-4-24−4i4i002-44-42-2−4i4i−4i4i0000-202-22000000002i−2i2i−2i2i−2i00000000000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i000000000000−1+i1−i−1−i1+i00000000
χ1064-44-4-24−4i4i002-44-42-2−4i4i−4i4i0000-202-22000000002i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000001−i−1+i1+i−1−i00000000
χ1074-4-444400004-4-44-4-400004i−4i−4i4i40-4-4400000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ1084-4-444400004-4-44-4-40000−4i4i4i−4i40-4-440000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ1094-4-444-20000422-2-4-423−23−23234i−4i−4i4i-2022-2000000000023−23−232300000000000000−2i2i2i−2i2i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ1104-4-444-20000422-2-4-423−23−2323−4i4i4i−4i-2022-2000000000023−23−2323000000000000002i−2i−2i2i−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ1114-4-444-20000422-2-4-4−232323−234i−4i−4i4i-2022-20000000000−232323−2300000000000000−2i2i2i−2i−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ1124-4-444-20000422-2-4-4−232323−23−4i4i4i−4i-2022-20000000000−232323−23000000000000002i−2i−2i2i2i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ1138-88-8-4-48i−8i0044-444-4−4i4i−4i4i000020-22-200000000−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4−8i8i0044-444-44i−4i4i−4i000020-22-2000000004i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-480000-4-8-884400000000-4044-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-40000-444-44443−43−4343000020-2-220000000000−232323−2300000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-40000-444-444−434343−43000020-2-22000000000023−23−232300000000000000000000000000000000000000000000000000000000000000000000000000

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