Finite Group Databasebeta

← Group #11866697

Character table — Group #11866697

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222222222222222222224444444444444444444444666666666666666666666666242424242424727211112222222222222222222222222244444444444444444444446666666666666666666666662424242424247272
order1222334466666688881212121224242424242424243666121212121212242424242424242424242424224466668888121212122424242424242424246612124422226644666666888812121212242424242424242466661212121212122424242424242424242424242244666688881212121224242424242424242466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-11
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-111-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-111-1-1-11
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1111-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1111-1
χ9222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-200000000000022-2-222220000-2-2-2-20000000000000000222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-200000000000022-2-222220000-2-2-2-20000000000000000
χ10222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-2000000000000-2-222-2-2-2-2000022220000000000000000222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-2000000000000-2-222-2-2-2-2000022220000000000000000
χ1122222-12222-1-12-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-10022222-12222-1-12-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-100
χ1222222-12222-1-12-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-211110022222-12222-1-12-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2111100
χ1322222-12222-1-12-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2-1-1110022222-12222-1-12-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2-1-11100
χ1422222-12222-1-12-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2211-1-10022222-12222-1-12-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2211-1-100
χ152222-1222-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1222-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ162222-1222-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111000000002222-1222-1-122-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111111100000000
χ172222-1222-1-122-12-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-2111111112222-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222-1222-1-122-12-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-2111111112222-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ182222-1222-1-122-12-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-211111111-2-2-2-2111122221111-1-1-1-1-1-1-1-1000000002222-1222-1-122-12-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-211111111-2-2-2-2111122221111-1-1-1-1-1-1-1-100000000
χ192222-12-2-2-1-122-12000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−322-2-2-1-1-1-1000011113333−3−3−3−3000000002222-12-2-2-1-122-12000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−322-2-2-1-1-1-1000011113333−3−3−3−300000000
χ202222-12-2-2-1-122-12000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−3-2-22211110000-1-1-1-1−3−3−3−33333000000002222-12-2-2-1-122-12000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−3-2-22211110000-1-1-1-1−3−3−3−3333300000000
χ212222-12-2-2-1-122-1200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−3333322-2-2-1-1-1-100001111−3−3−3−33333000000002222-12-2-2-1-122-1200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−3333322-2-2-1-1-1-100001111−3−3−3−3333300000000
χ222222-12-2-2-1-122-1200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−33333-2-22211110000-1-1-1-13333−3−3−3−3000000002222-12-2-2-1-122-1200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−33333-2-22211110000-1-1-1-13333−3−3−3−300000000
χ2322-2-2222-2-2-2-2-222000022-2-2000000002-2-22222-2-2-2000000000000000000002i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i0000000022-2-2222-2-2-2-2-222000022-2-2000000002-2-22222-2-2-2000000000000000000002i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i00000000
χ2422-2-2222-2-2-2-2-222000022-2-2000000002-2-22222-2-2-200000000000000000000−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i0000000022-2-2222-2-2-2-2-222000022-2-2000000002-2-22222-2-2-200000000000000000000−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i00000000
χ2522-2-222-22-2-2-2-22222-2-2-2-22222-2-222-2-22-2-22-2-2-222222-2-222-2-222-2-20000000000000000000000000000000022-2-222-22-2-2-2-22222-2-2-2-22222-2-222-2-22-2-22-2-2-222222-2-222-2-222-2-200000000000000000000000000000000
χ2622-2-222-22-2-2-2-222-2-222-2-222-2-222-2-2222-2-22-2-2-2222-2-222-2-222-2-2220000000000000000000000000000000022-2-222-22-2-2-2-222-2-222-2-222-2-222-2-2222-2-22-2-2-2222-2-222-2-222-2-22200000000000000000000000000000000
χ2722-2-22-1-22-2-2112-122-2-2-2-22222-2-222-2-2-111-1111-1-1-1-1-111-1-111-1-11100000000000000000000000000−i3i3−i3i30022-2-22-1-22-2-2112-122-2-2-2-22222-2-222-2-2-111-1111-1-1-1-1-111-1-111-1-11100000000000000000000000000−i3i3−i3i300
χ2822-2-22-1-22-2-2112-122-2-2-2-22222-2-222-2-2-111-1111-1-1-1-1-111-1-111-1-11100000000000000000000000000i3−i3i3−i30022-2-22-1-22-2-2112-122-2-2-2-22222-2-222-2-2-111-1111-1-1-1-1-111-1-111-1-11100000000000000000000000000i3−i3i3−i300
χ2922-2-22-1-22-2-2112-1-2-222-2-222-2-222-2-222-111-1111-1-1-111-1-111-1-111-1-100000000000000000000000000−i3i3i3−i30022-2-22-1-22-2-2112-1-2-222-2-222-2-222-2-222-111-1111-1-1-111-1-111-1-111-1-100000000000000000000000000−i3i3i3−i300
χ3022-2-22-1-22-2-2112-1-2-222-2-222-2-222-2-222-111-1111-1-1-111-1-111-1-111-1-100000000000000000000000000i3−i3−i3i30022-2-22-1-22-2-2112-1-2-222-2-222-2-222-2-222-111-1111-1-1-111-1-111-1-111-1-100000000000000000000000000i3−i3−i3i300
χ3122-2-2-122-211-2-2-120000-1-11133−3−3−3−333-111-12-1-1-211000033−3−3−3−3330000−i3−i3i3i32i2i−2i−2i−i3−i3i3i3−i−iii−i−iii0000000022-2-2-122-211-2-2-120000-1-11133−3−3−3−333-111-12-1-1-211000033−3−3−3−3330000−i3−i3i3i32i2i−2i−2i−i3−i3i3i3−i−iii−i−iii00000000
χ3222-2-2-122-211-2-2-120000-1-11133−3−3−3−333-111-12-1-1-211000033−3−3−3−3330000i3i3−i3−i3−2i−2i2i2ii3i3−i3−i3ii−i−iii−i−i0000000022-2-2-122-211-2-2-120000-1-11133−3−3−3−333-111-12-1-1-211000033−3−3−3−3330000i3i3−i3−i3−2i−2i2i2ii3i3−i3−i3ii−i−iii−i−i00000000
χ3322-2-2-122-211-2-2-120000-1-111−3−33333−3−3-111-12-1-1-2110000−3−33333−3−30000−i3−i3i3i3−2i−2i2i2i−i3−i3i3i3ii−i−iii−i−i0000000022-2-2-122-211-2-2-120000-1-111−3−33333−3−3-111-12-1-1-2110000−3−33333−3−30000−i3−i3i3i3−2i−2i2i2i−i3−i3i3i3ii−i−iii−i−i00000000
χ3422-2-2-122-211-2-2-120000-1-111−3−33333−3−3-111-12-1-1-2110000−3−33333−3−30000i3i3−i3−i32i2i−2i−2ii3i3−i3−i3−i−iii−i−iii0000000022-2-2-122-211-2-2-120000-1-111−3−33333−3−3-111-12-1-1-2110000−3−33333−3−30000i3i3−i3−i32i2i−2i−2ii3i3−i3−i3−i−iii−i−iii00000000
χ3522-2-2-12-2211-2-2-1222-2-211-1-1-1-111-1-111-111-1-2112-1-122-2-2-1-111-1-1110000−i3−i3i3i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000022-2-2-12-2211-2-2-1222-2-211-1-1-1-111-1-111-111-1-2112-1-122-2-2-1-111-1-1110000−i3−i3i3i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000
χ3622-2-2-12-2211-2-2-1222-2-211-1-1-1-111-1-111-111-1-2112-1-122-2-2-1-111-1-1110000i3i3−i3−i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000022-2-2-12-2211-2-2-1222-2-211-1-1-1-111-1-111-111-1-2112-1-122-2-2-1-111-1-1110000i3i3−i3−i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000
χ3722-2-2-12-2211-2-2-12-2-22211-1-111-1-111-1-1-111-1-2112-1-1-2-22211-1-111-1-10000−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000022-2-2-12-2211-2-2-12-2-22211-1-111-1-111-1-1-111-1-2112-1-1-2-22211-1-111-1-10000−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000
χ3822-2-2-12-2211-2-2-12-2-22211-1-111-1-111-1-1-111-1-2112-1-1-2-22211-1-111-1-10000i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000022-2-2-12-2211-2-2-12-2-22211-1-111-1-111-1-1-111-1-2112-1-1-2-22211-1-111-1-10000i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000
χ392-22-222002-22-2-2-2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002i−2i00002−22−22i−2i2i−2i2−22−22−22−2000000002-22-222002-22-2-2-2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002i−2i00002−22−22i−2i2i−2i2−22−22−22−200000000
χ402-22-222002-22-2-2-2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−2i2i0000−22−22−2i2i−2i2i−22−22−22−22000000002-22-222002-22-2-2-2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−2i2i0000−22−22−2i2i−2i2i−22−22−22−2200000000
χ412-22-222002-22-2-2-2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002i−2i0000−22−222i−2i2i−2i−22−22−22−22000000002-22-222002-22-2-2-2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002i−2i0000−22−222i−2i2i−2i−22−22−22−2200000000
χ422-22-222002-22-2-2-2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200−2i2i00002−22−2−2i2i−2i2i2−22−22−22−2000000002-22-222002-22-2-2-2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200−2i2i00002−22−2−2i2i−2i2i2−22−22−22−200000000
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χ1674-4-44-2-2002-22-2222i2−2i2−2i22i223−23−2323−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ71-11-10−3303−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ700000000000000000000000000000000-444-42200-22-22-2-2−2i22i22i2−2i2−232323−232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7-11-1103−30−33i2−i2−i2i2−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ700000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.