Finite Group Databasebeta

← Group #11793915

Character table — Group #11793915

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222334444666666666612121212366666666688881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422244466666688121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i0000002i2i−2i−2i0000
χ1022222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i000000−2i−2i2i2i0000
χ112222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-100000000
χ122222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000000
χ132222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111112200-2-200-1-1-1-10000111100000000
χ142222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-200220011110000-1-1-1-100000000
χ15222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200-1-1000022-1-10000-1-1-1-10000
χ16222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200110000-2-211000011110000
χ17222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111002200-1-10000-2-2-1-1000011110000
χ18222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111100-2-20011000022110000-1-1-1-10000
χ19222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3000000−i3i300002i−2i−i3i30000−i−iii0000
χ20222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3000000i3−i30000−2i2ii3−i30000ii−i−i0000
χ21222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333000000−i3i30000−2i2i−i3i30000ii−i−i0000
χ22222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333000000i3−i300002i−2ii3−i30000−i−iii0000
χ232222-2-2222-2-22222-2-2-2-2222-2-2-2-22-2-222-2-2-2-22000022-2222222-2-2-2-2-200000000000000000000000000000000002-20022000000-2-2000000000000
χ242222-2-2222-2-22222-2-2-2-2222-2-2-2-22-2-222-2-2-2-22000022-2222222-2-2-2-2-20000000000000000000000000000000000-2200-2-200000022000000000000
χ252222-2-222-222-2222-2-2-2-222222222-2-222-2-2-2-2222-2-2-2-22-2-2-2-2-2-22222222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ262222-2-222-222-2222-2-2-2-222222222-2-222-2-2-2-22-2-222-2-22-2-2-2-2-2-222222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ272222-2-22-1-222-222-11111-12-12222-1-2-2-1-11111-122-2-211-1-2-21111-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i30000−i3−i3i3i300000000
χ282222-2-22-1-222-222-11111-12-12222-1-2-2-1-11111-122-2-211-1-2-21111-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i30000i3i3−i3−i300000000
χ292222-2-22-1-222-222-11111-12-12222-1-2-2-1-11111-1-2-22211-1-2-21111-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i30000i3i3−i3−i300000000
χ302222-2-22-1-222-222-11111-12-12222-1-2-2-1-11111-1-2-22211-1-2-21111-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i30000−i3−i3i3i300000000
χ312222-2-2-122-2-22-1-12-2-2-2-22-121111-111-1-11111-1000022-2-1-1-1-1-1-111-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−33333002-200-1-10000001100003−33−30000
χ322222-2-2-122-2-22-1-12-2-2-2-22-121111-111-1-11111-1000022-2-1-1-1-1-1-111-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−3333300-220011000000-1-10000−33−330000
χ332222-2-2-122-2-22-1-12-2-2-2-22-121111-111-1-11111-1000022-2-1-1-1-1-1-111-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−3002-200-1-1000000110000−33−330000
χ342222-2-2-122-2-22-1-12-2-2-2-22-121111-111-1-11111-1000022-2-1-1-1-1-1-111-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−300-220011000000-1-100003−33−30000
χ352222-2-2-12-222-2-1-12-2-2-2-22-12-1-1-1-1-111-1-11111-122-2-2-2-22111111-1-12-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000−i3i3000000i3−i30000−i3i3i3−i30000
χ362222-2-2-12-222-2-1-12-2-2-2-22-12-1-1-1-1-111-1-11111-122-2-2-2-22111111-1-12-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000i3−i3000000−i3i30000i3−i3−i3i30000
χ372222-2-2-12-222-2-1-12-2-2-2-22-12-1-1-1-1-111-1-11111-1-2-222-2-22111111-1-12-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000−i3i3000000i3−i30000i3−i3−i3i30000
χ382222-2-2-12-222-2-1-12-2-2-2-22-12-1-1-1-1-111-1-11111-1-2-222-2-22111111-1-12-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000i3−i3000000−i3i30000−i3i3i3−i30000
χ392-22-22-22222-2-2-2-2-222-2-222-222-2-222-2-2-222-2-2200002-2-22-222-2-2-2-222200000000000000000000000000000000000000000000000000000000002i−2i
χ402-22-22-22222-2-2-2-2-222-2-222-222-2-222-2-2-222-2-2200002-2-22-222-2-2-2-22220000000000000000000000000000000000000000000000000000000000−2i2i
χ412-22-22-222-2-222-2-2-222-2-222-2-2-22222-2-2-222-2-220000-222-22-2-22222-2-2-2000000000000000000000000000000002-20000002-22-20000000000000000
χ422-22-22-222-2-222-2-2-222-2-222-2-2-22222-2-2-222-2-220000-222-22-2-22222-2-2-200000000000000000000000000000000-22000000-22-220000000000000000
χ432-22-22-22-1-2-222-2-21-1-111-121-2-222-12-211-1-111-100001-1-1-2211-1-1-1-11110000000033−3−333−3−333−3−333−3−333−3−333−3−32-2000000-11-1100003−33−300000000
χ442-22-22-22-1-2-222-2-21-1-111-121-2-222-12-211-1-111-100001-1-1-2211-1-1-1-11110000000033−3−333−3−333−3−333−3−333−3−333−3−3-220000001-11-10000−33−3300000000
χ452-22-22-22-1-2-222-2-21-1-111-121-2-222-12-211-1-111-100001-1-1-2211-1-1-1-111100000000−3−333−3−333−3−333−3−333−3−333−3−3332-2000000-11-110000−33−3300000000
χ462-22-22-22-1-2-222-2-21-1-111-121-2-222-12-211-1-111-100001-1-1-2211-1-1-1-111100000000−3−333−3−333−3−333−3−333−3−333−3−333-220000001-11-100003−33−300000000
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χ482-22-2-22222-22-2-2-2-2-2-22222-2-2-2222-22-2-2-2-222200002-222-222-2-222-2-2-2000000000000000000000000000000000000−2i2i0000000000−2i2i2i−2i00000000
χ492-22-2-2222-22-22-2-2-2-2-22222-222-2-22-22-2-2-2-22220000-22-2-22-2-222-2-2222000000000000000000000000000000000000000000000000000000002-200
χ502-22-2-2222-22-22-2-2-2-2-22222-222-2-22-22-2-2-2-22220000-22-2-22-2-222-2-222200000000000000000000000000000000000000000000000000000000-2200
χ512-22-2-222-12-22-2-2-2111-1-1-121-2-222-1-221111-1-1-10000-11-12-2-1-111-1-11110000000033−3−3−3−33333−3−3−3−33333−3−3−3−33300002i−2i00−i3i3i3−i30000−iii−i00000000
χ522-22-2-222-12-22-2-2-2111-1-1-121-2-222-1-221111-1-1-10000-11-12-2-1-111-1-11110000000033−3−3−3−33333−3−3−3−33333−3−3−3−3330000−2i2i00i3−i3−i3i30000i−i−ii00000000
χ532-22-2-222-12-22-2-2-2111-1-1-121-2-222-1-221111-1-1-10000-11-12-2-1-111-1-111100000000−3−33333−3−3−3−33333−3−3−3−33333−3−300002i−2i00i3−i3−i3i30000−iii−i00000000
χ542-22-2-222-12-22-2-2-2111-1-1-121-2-222-1-221111-1-1-10000-11-12-2-1-111-1-111100000000−3−33333−3−3−3−33333−3−3−3−33333−3−30000−2i2i00−i3i3i3−i30000i−i−ii00000000
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χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-123232323−23−23−23−2300000000−3−3−3−3−3−3−3−3333333330000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-1−23−23−23−23232323230000000033333333−3−3−3−3−3−3−3−30000000000000000000000000000
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χ614444-4-4-2-24-4-44-2-2-22222-2-2-2222212211-1-1-1-110000-2-22-2-21111-1-12-1-12323−23−23−23−23232300000000−3−3−3−333333333−3−3−3−30000000000000000000000000000
χ624444-4-4-2-24-4-44-2-2-22222-2-2-2222212211-1-1-1-110000-2-22-2-21111-1-12-1-1−23−2323232323−23−23000000003333−3−3−3−3−3−3−3−333330000000000000000000000000000
χ634444-4-4-2-2-444-4-2-2-22222-2-2-2-2-2-2-212211-1-1-1-1144-4-422-222-1-1-1-111-211-2-222-2-222-2-2-2-222221111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ644444-4-4-2-2-444-4-2-2-22222-2-2-2-2-2-2-212211-1-1-1-11-4-44422-222-1-1-1-111-21122-2-222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.