Finite Group Databasebeta

← Group #11887384

Character table — Group #11887384

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size111122222222222222222222222222224444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212122424242436363636484848487272
order1222334444666666888812121212242424242424242423666666666668812121212121212121212121212122424242424242424242424242424242424242424242424242424242422444466888812121212121224242424242424242244224466121244
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
χ51111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-11-11-1-11
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-11-111-1
χ71111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-11-1-1-1111-11-11-1
χ81111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1111-1-1-11-11-11
χ9111111-1-1111111111111111111111111-11-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-111-1-1-1-111111-1-1111111-1-11-1-1
χ10111111-1-1111111111111111111111111-11-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-111-111
χ11111111-1-1111111111111111111111111-11-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-11111-1-11111-1-1-1-11-1-11-1-1-1-11-1-1111
χ12111111-1-1111111111111111111111111-11-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-11111-1-11111-1-1-1-1-111-11111-111-1-1-1
χ13111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11-1
χ14111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11
χ15111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11
χ16111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ1722222222-2-22222220000-2-2-2-200000000-22-2-2-2-222-2-2-2-2200-22222-2-22222-2-2-200000000000000000000000000002222-2-222000022-2-2-2-20000000000000000000000
χ1822222222-2-22222220000-2-2-2-200000000-22-2-2-2-222-2-2-2-2200-22222-2-22222-2-2-20000000000000000000000000000-2-2-2-222-2-20000-2-222220000000000000000000000
χ19222222-2-2-2-22222220000-2-2-2-200000000222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022-2-22-2220000-2-222-2-20000000000000000000000
χ20222222-2-2-2-22222220000-2-2-2-200000000222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-2-222-22-2-2000022-2-2220000000000000000000000
χ2122222-12222-1-1222-122222222222222222-122-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022220000-1-1-1-100
χ2222222-12222-1-1222-122222222222222222-122-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-20000111100
χ2322222-12222-1-1222-1-2-2-2-22222-2-2-2-2-2-2-2-22-122-1-1-1-1-1-1-1-1-1-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111111111000000000000000000000000002-22-20000-11-1100
χ2422222-12222-1-1222-1-2-2-2-22222-2-2-2-2-2-2-2-22-122-1-1-1-1-1-1-1-1-1-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111111100000000000000000000000000-22-2200001-11-100
χ2522222-1-2-222-1-1222-12222222222222222-2-1-2-211-1-11111-1-2-2-111-2-2-1-11111-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000002-2-220000-111-100
χ2622222-1-2-222-1-1222-12222222222222222-2-1-2-211-1-11111-1-2-2-111-2-2-1-11111-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000-222-200001-1-1100
χ2722222-1-2-222-1-1222-1-2-2-2-22222-2-2-2-2-2-2-2-2-2-1-2-211-1-11111-122-111-2-2-1-11111-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022-2-20000-1-11100
χ2822222-1-2-222-1-1222-1-2-2-2-22222-2-2-2-2-2-2-2-2-2-1-2-211-1-11111-122-111-2-2-1-11111-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-222000011-1-100
χ292222-12222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-12222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-2-2-21111111111111100000000000000
χ312222-12222222-1-1-12-2-2-2-2-1-1-1-1111111112-1-1-122-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-12-1-11111-2-2-2-211111111-2-2-2-211111111222222-1-1-2-2-2-2-1-1-1-1-1-11111111100000000000000
χ322222-12222222-1-1-12-2-2-2-2-1-1-1-1111111112-1-1-122-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-12-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2112222111111-1-1-1-1-1-1-1-100000000000000
χ332222-1222-2-222-1-1-12000011113333−3−3−3−3-2-111-2-2-1-11111-100-222-1-111-1-1-1-1-21133−3−300003333−3−3−3−300003333−3−3−3−32222-2-2-1-10000-1-1111133−3−333−3−300000000000000
χ342222-1222-2-222-1-1-12000011113333−3−3−3−3-2-111-2-2-1-11111-100-222-1-111-1-1-1-1-21133−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-22211000011-1-1-1-1−3−333−3−33300000000000000
χ352222-1222-2-222-1-1-1200001111−3−3−3−33333-2-111-2-2-1-11111-100-222-1-111-1-1-1-1-211−3−3330000−3−3−3−333330000−3−3−3−333332222-2-2-1-10000-1-11111−3−333−3−33300000000000000
χ362222-1222-2-222-1-1-1200001111−3−3−3−33333-2-111-2-2-1-11111-100-222-1-111-1-1-1-1-211−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-22211000011-1-1-1-133−3−333−3−300000000000000
χ372222-12-2-22222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-111-2-2-1-11111-1-2-22-2-211-1-111112-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-22-1-1-2-2221111-1-11111-1-1-1-100000000000000
χ382222-12-2-22222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-111-2-2-1-11111-1-2-22-2-211-1-111112-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2222-21122-2-2-1-1-1-111-1-1-1-1111100000000000000
χ392222-12-2-22222-1-1-12-2-2-2-2-1-1-1-111111111-2-111-2-2-1-11111-1222-2-211-1-111112-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122-2-2-22-1-122-2-21111-1-1-1-1-1-1111100000000000000
χ402222-12-2-22222-1-1-12-2-2-2-2-1-1-1-111111111-2-111-2-2-1-11111-1222-2-211-1-111112-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2222-211-2-222-1-1-1-1111111-1-1-1-100000000000000
χ412222-12-2-2-2-222-1-1-12000011113333−3−3−3−32-1-1-122-1-1-1-1-1-1-100-2-2-211111111-211−3−33300003333−3−3−3−30000−3−3−3−3333322-2-22-2-1-1000011-1-111−3−33333−3−300000000000000
χ422222-12-2-2-2-222-1-1-12000011113333−3−3−3−32-1-1-122-1-1-1-1-1-1-100-2-2-211111111-211−3−33300003333−3−3−3−30000−3−3−3−33333-2-222-22110000-1-111-1-133−3−3−3−33300000000000000
χ432222-12-2-2-2-222-1-1-1200001111−3−3−3−333332-1-1-122-1-1-1-1-1-1-100-2-2-211111111-21133−3−30000−3−3−3−3333300003333−3−3−3−322-2-22-2-1-1000011-1-11133−3−3−3−33300000000000000
χ442222-12-2-2-2-222-1-1-1200001111−3−3−3−333332-1-1-122-1-1-1-1-1-1-100-2-2-211111111-21133−3−30000−3−3−3−3333300003333−3−3−3−3-2-222-22110000-1-111-1-1−3−33333−3−300000000000000
χ4522-2-2222i−2i002-22-2-2-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i20200002-20000-22−202i−2i2i−2i002i2i−2i−2i0002−22−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−22-22i−2i002-22−2−i2i22i−2i00002−22−2−i2i2−i2i200000000000000
χ4622-2-2222i−2i002-22-2-2-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i20200002-20000-22−202i−2i2i−2i002i2i−2i−2i0002−22−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−2-22−2i2i00-22−22i2−i2−2i2i0000−22−22i2−i2i2−i200000000000000
χ4722-2-2222i−2i002-22-2-2-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i20200002-20000-2−2202i−2i2i−2i002i2i−2i−2i000−22−22i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−2222-22i−2i002-2−22i2−i22i−2i0000−22−22i2−i2i2−i200000000000000
χ4822-2-2222i−2i002-22-2-2-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i20200002-20000-2−2202i−2i2i−2i002i2i−2i−2i000−22−22i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222-22−2i2i00-222−2−i2i2−2i2i00002−22−2−i2i2−i2i200000000000000
χ4922-2-222−2i2i002-22-2-2-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i20200002-20000-2−220−2i2i−2i2i00−2i−2i2i2i000−22−22−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−2222-2−2i2i002-2−22−i2i2−2i2i0000−22−22−i2i2−i2i200000000000000
χ5022-2-222−2i2i002-22-2-2-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i20200002-20000-2−220−2i2i−2i2i00−2i−2i2i2i000−22−22−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222-222i−2i00-222−2i2−i22i−2i00002−22−2i2−i2i2−i200000000000000
χ5122-2-222−2i2i002-22-2-2-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i20200002-20000-22−20−2i2i−2i2i00−2i−2i2i2i0002−22−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−22-2−2i2i002-22−2i2−i2−2i2i00002−22−2i2−i2i2−i200000000000000
χ5222-2-222−2i2i002-22-2-2-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i20200002-20000-22−20−2i2i−2i2i00−2i−2i2i2i0002−22−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−2-222i−2i00-22−22−i2i22i−2i0000−22−22−i2i2−i2i200000000000000
χ5322-2-2-122i−2i002-2-111-2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230-1−i3i300-11−i3−i3i3i312−202i−2i−ii3−3−i−iii03−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72-22i−2i00-112−2−i2i2−ii−i3i33−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ5422-2-2-122i−2i002-2-111-2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230-1−i3i300-11−i3−i3i3i312−202i−2i−ii3−3−i−iii03−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-22−2i2i001-1−22i2−i2i−ii3−i3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.