Finite Group Databasebeta

← Group #11794340

Character table — Group #11794340

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order12222233444466666666661212121236666666668888121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244446666881212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002i−2i000000002i2i−2i−2i0000
χ1022222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000−2i2i00000000−2i−2i2i2i0000
χ112222222-12222-1-1-1-1-12-122-12222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220220-1-1-1-1000000-1-1-1-100000000
χ122222222-12222-1-1-1-1-12-122-12222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-201111000000111100000000
χ132222222-12222-1-1-1-1-12-122-12222-122-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111220-2-20-1-1-1-1000000111100000000
χ142222222-12222-1-1-1-1-12-122-12222-122-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-202201111000000-1-1-1-100000000
χ15222222-12222222222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002002000022-1-1-1-10000-1-1-1-10000
χ16222222-12222222222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-200-20000-2-21111000011110000
χ17222222-12222222222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-211111111111111110020020000-2-2-1-1-1-1000011110000
χ18222222-12222222222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111100-200-200002211110000-1-1-1-10000
χ19222222-12-2-2-2-222222-12-1-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−300000000002i−2i−i3−i3i3i30000−i−iii0000
χ20222222-12-2-2-2-222222-12-1-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−30000000000−2i2ii3i3−i3−i30000ii−i−i0000
χ21222222-12-2-2-2-222222-12-1-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−33333333300000000002i−2ii3i3−i3−i30000−i−iii0000
χ22222222-12-2-2-2-222222-12-1-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−3333333330000000000−2i2i−i3−i3i3i30000ii−i−i0000
χ232222-2-2222-22-22-2-2-2-22222222222-2-222-2-2-2-2222-2-2-2-22-2-222-2-2-2-222222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ242222-2-2222-22-22-2-2-2-22222222222-2-222-2-2-2-22-2-222-2-22-2-222-2-2-2-2222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ252222-2-222-22-222-2-2-2-222222-2-2-2-22-2-222-2-2-2-22000022-222-2-22222-2-2-20000000000000000000000000000000000200-20000002-22-2000000000000
χ262222-2-222-22-222-2-2-2-222222-2-2-2-22-2-222-2-2-2-22000022-222-2-22222-2-2-20000000000000000000000000000000000-2002000000-22-22000000000000
χ272222-2-22-12-22-2-111112-122-12222-1-2-2-1-11111-122-2-2-2-2-111-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000−i3−i3i3i3000000−i3−i3i3i300000000
χ282222-2-22-12-22-2-111112-122-12222-1-2-2-1-11111-122-2-2-2-2-111-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000i3i3−i3−i3000000i3i3−i3−i300000000
χ292222-2-22-12-22-2-111112-122-12222-1-2-2-1-11111-1-2-222-2-2-111-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000−i3−i3i3i3000000i3i3−i3−i300000000
χ302222-2-22-12-22-2-111112-122-12222-1-2-2-1-11111-1-2-222-2-2-111-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000i3i3−i3−i3000000−i3−i3i3i300000000
χ312222-2-2-122-22-22-2-2-2-2-12-1-12-1-1-1-1-111-1-11111-122-2-2112-2-2-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000−i3i3i3−i30000−i3i3−i3i30000
χ322222-2-2-122-22-22-2-2-2-2-12-1-12-1-1-1-1-111-1-11111-122-2-2112-2-2-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000i3−i3−i3i30000i3−i3i3−i30000
χ332222-2-2-122-22-22-2-2-2-2-12-1-12-1-1-1-1-111-1-11111-1-2-222112-2-2-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000−i3i3i3−i30000i3−i3i3−i30000
χ342222-2-2-122-22-22-2-2-2-2-12-1-12-1-1-1-1-111-1-11111-1-2-222112-2-2-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000i3−i3−i3i30000−i3i3−i3i30000
χ352222-2-2-12-22-222-2-2-2-2-12-1-121111-111-1-11111-10000-1-1-22211-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−3333300200-2000000-11-1100003−3−330000
χ362222-2-2-12-22-222-2-2-2-2-12-1-121111-111-1-11111-10000-1-1-22211-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−3333300-20020000001-11-10000−333−30000
χ372222-2-2-12-22-222-2-2-2-2-12-1-121111-111-1-11111-10000-1-1-22211-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−300200-2000000-11-110000−333−30000
χ382222-2-2-12-22-222-2-2-2-2-12-1-121111-111-1-11111-10000-1-1-22211-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−300-20020000001-11-100003−3−330000
χ3922-2-22-22222-2-2-222-2-222-2-2-222-2-222-2-2-222-2-2200002-222-22222-2-2-2-2-2000000000000000000000000000000002-200002-22-2000000000000000000
χ4022-2-22-22222-2-2-222-2-222-2-2-222-2-222-2-2-222-2-2200002-222-22222-2-2-2-2-200000000000000000000000000000000-220000-22-22000000000000000000
χ4122-2-22-222-2-222-222-2-222-2-2-2-2-22222-2-2-222-2-220000-22-2-22-2-2-2-22222200000000000000000000000000000000000000000000000000000000002-2
χ4222-2-22-222-2-222-222-2-222-2-2-2-2-22222-2-2-222-2-220000-22-2-22-2-2-2-2222220000000000000000000000000000000000000000000000000000000000-22
χ4322-2-22-22-122-2-21-1-1112-1-2-2122-2-2-12-211-1-111-100002-2-1-11-1-1-1-1111110000000033−3−333−3−333−3−333−3−333−3−333−3−32-20000-11-110000003−33−300000000
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χ4522-2-22-22-122-2-21-1-1112-1-2-2122-2-2-12-211-1-111-100002-2-1-11-1-1-1-11111100000000−3−333−3−333−3−333−3−333−3−333−3−3332-20000-11-11000000−33−3300000000
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χ5122-2-2-222-12-2-22111-1-12-1-2-2122-2-2-1-221111-1-1-10000-22-11-1-1-111-1-11110000000033−3−3−3−33333−3−3−3−33333−3−3−3−3330002i−2i0−i3i3i3−i3000000−iii−i00000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.