Finite Group Databasebeta

← Group #11887293

Character table — Group #11887293

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size111122222222222222222222222222224444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212122424242436363636484848487272
order12223344446666668888121212122424242424242424346668812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242244246666888812121212242424242424242424442244612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-11-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-11
χ71111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-11-1-11111-1-1-11
χ81111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1111-1
χ9111111-1-11111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-11111-1-1-1-111-1-111111-11-1-1-1
χ10111111-1-11111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1111
χ11111111-1-11111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11-11-111
χ12111111-1-11111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1-1-11111-1-1111111-11-11-1-1
χ13111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11-11-1-1-1111-1-111-1
χ16111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-11-1111-1-1-111-1-11
χ1722222222-2-22222220000-2-2-2-2000000002-22220022-2-222-2-22222-2-2-2-2-2-2-2-2-2-200000000000000000000000000002222-2-222-2-20000-2-2220000000000000000000000
χ1822222222-2-22222220000-2-2-2-2000000002-22220022-2-222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-2-2-2-222-2-222000022-2-20000000000000000000000
χ19222222-2-2-2-22222220000-2-2-2-2000000002222200-2-222-2-222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000022-2-22-222220000-2-2-2-20000000000000000000000
χ20222222-2-2-2-22222220000-2-2-2-2000000002222200-2-222-2-222-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000-2-222-22-2-2-2-2000022220000000000000000000000
χ2122222-12222222-1-1-12222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022220000-1-1-1-100
χ2222222-12222222-1-1-12222222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-20000111100
χ2322222-12222222-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111111111000000000000000000000000002-2-220000-1-11100
χ2422222-12222222-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111111100000000000000000000000000-222-2000011-1-100
χ2522222-1-2-222222-1-1-12222222222222222-1-2-1-1-1-2-2-2-2-2-2111111111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000022-2-20000-11-1100
χ2622222-1-2-222222-1-1-12222222222222222-1-2-1-1-1-2-2-2-2-2-2111111111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000-2-22200001-11-100
χ2722222-1-2-222222-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-1-1-122-2-2-2-2111111111111-1-1-1-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000002-22-20000-111-100
χ2822222-1-2-222222-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-1-1-122-2-2-2-2111111111111-1-1-1-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-22-2200001-1-1100
χ292222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-211111111111100000000000000
χ312222-122222-1-1-1222-2-2-2-2-1-1-1-111111111-12-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111222222-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000000
χ322222-122222-1-1-1222-2-2-2-2-1-1-1-111111111-12-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2111122221111-1-1-1-1-1-1-1-100000000000000
χ332222-1222-2-2-1-1-1222000011113333−3−3−3−3-1-2-1-1-100-1-11122-2-2-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−32222-2-2-1-111000011-1-133−3−333−3−300000000000000
χ342222-1222-2-2-1-1-1222000011113333−3−3−3−3-1-2-1-1-100-1-11122-2-2-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-22211-1-10000-1-111−3−333−3−33300000000000000
χ352222-1222-2-2-1-1-122200001111−3−3−3−33333-1-2-1-1-100-1-11122-2-2-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−333332222-2-2-1-111000011-1-1−3−333−3−33300000000000000
χ362222-1222-2-2-1-1-122200001111−3−3−3−33333-1-2-1-1-100-1-11122-2-2-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-22211-1-10000-1-11133−3−333−3−300000000000000
χ372222-12-2-222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-1-1-1-2-21111-2-2-2-21111111122-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-22-1-11122-2-2-1-111-1-1-1-1111100000000000000
χ382222-12-2-222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-1-1-1-2-21111-2-2-2-21111111122-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2222-211-1-1-2-22211-1-11111-1-1-1-100000000000000
χ392222-12-2-222-1-1-1222-2-2-2-2-1-1-1-111111111-1-2-1-1-1221111-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122-2-2-22-1-111-2-222-1-1111111-1-1-1-100000000000000
χ402222-12-2-222-1-1-1222-2-2-2-2-1-1-1-111111111-1-2-1-1-1221111-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2222-211-1-122-2-211-1-1-1-1-1-1111100000000000000
χ412222-12-2-2-2-2-1-1-1222000011113333−3−3−3−3-12-1-1-10011-1-1-2-2221111-1-1-1-1-2-21111−3−33300003333−3−3−3−30000−3−3−3−3333322-2-22-2-1-1-1-10000111133−3−3−3−33300000000000000
χ422222-12-2-2-2-2-1-1-1222000011113333−3−3−3−3-12-1-1-10011-1-1-2-2221111-1-1-1-1-2-21111−3−33300003333−3−3−3−30000−3−3−3−33333-2-222-2211110000-1-1-1-1−3−33333−3−300000000000000
χ432222-12-2-2-2-2-1-1-122200001111−3−3−3−33333-12-1-1-10011-1-1-2-2221111-1-1-1-1-2-2111133−3−30000−3−3−3−3333300003333−3−3−3−322-2-22-2-1-1-1-100001111−3−33333−3−300000000000000
χ442222-12-2-2-2-2-1-1-122200001111−3−3−3−33333-12-1-1-10011-1-1-2-2221111-1-1-1-1-2-2111133−3−30000−3−3−3−3333300003333−3−3−3−3-2-222-2211110000-1-1-1-133−3−3−3−33300000000000000
χ4522-2-2222i−2i002-2-22-2-222−2−2000022−2−222−2−2202-2-2−i2i22i−2i002i−2i002i2i−2i−2i0000000000−i2i2−i2i222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-22i−2i002-2002−2−i2i2002i−2i2−22−2−i2i2−i2i200000000000000
χ4622-2-2222i−2i002-2-22-2-222−2−2000022−2−222−2−2202-2-2−i2i22i−2i002i−2i002i2i−2i−2i0000000000−i2i2−i2i222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22−2i2i00-2200−22i2−i200−2i2i−22−22i2−i2i2−i200000000000000
χ4722-2-2222i−2i002-2-22-2-2−2−2220000−2−222−2−222202-2-2i2−i22i−2i002i−2i002i2i−2i−2i0000000000i2−i2i2−i2−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-22i−2i002-200−22i2−i2002i−2i−22−22i2−i2i2−i200000000000000
χ4822-2-2222i−2i002-2-22-2-2−2−2220000−2−222−2−222202-2-2i2−i22i−2i002i−2i002i2i−2i−2i0000000000i2−i2i2−i2−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22−2i2i00-22002−2−i2i200−2i2i2−22−2−i2i2−i2i200000000000000
χ4922-2-222−2i2i002-2-22-2-222−2−2000022−2−222−2−2202-2-2i2−i2−2i2i00−2i2i00−2i−2i2i2i0000000000i2−i2i2−i222−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2−2i2i002-2002−2i2−i200−2i2i2−22−2i2−i2i2−i200000000000000
χ5022-2-222−2i2i002-2-22-2-222−2−2000022−2−222−2−2202-2-2i2−i2−2i2i00−2i2i00−2i−2i2i2i0000000000i2−i2i2−i222−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-222i−2i00-2200−22−i2i2002i−2i−22−22−i2i2−i2i200000000000000
χ5122-2-222−2i2i002-2-22-2-2−2−2220000−2−222−2−222202-2-2−i2i2−2i2i00−2i2i00−2i−2i2i2i0000000000−i2i2−i2i2−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2−2i2i002-200−22−i2i200−2i2i−22−22−i2i2−i2i200000000000000
χ5222-2-222−2i2i002-2-22-2-2−2−2220000−2−222−2−222202-2-2−i2i2−2i2i00−2i2i00−2i−2i2i2i0000000000−i2i2−i2i2−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-222i−2i00-22002−2i2−i2002i−2i2−22−2i2−i2i2−i200000000000000
χ5322-2-2-122i−2i00-1112-2-222−2−23−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-10-111−i2i2−ii−i3i32i−2i00−i−iii−i3−i3i3i30033−3−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72-22i−2i00-11−i3i32−2−i2i23−3−iiζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ5422-2-2-122i−2i00-1112-2-222−2−23−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-10-111−i2i2−ii−i3i32i−2i00−i−iii−i3−i3i3i30033−3−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-22−2i2i001-1i3−i3−22i2−i2−33i−i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.