Finite Group Databasebeta

← Group #11793914

Character table — Group #11793914

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222334444666666121212121212121236666666666688881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424246688888812122424242424242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1
χ922222222-2-2-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002i−2i0000002i2i−2i−2i000000000000
χ1022222222-2-2-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000−2i2i000000−2i−2i2i2i000000000000
χ112222222-1222222-1-12-122-1-1-1-122-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1220000-1-1-1-1-1-1000000000000
χ122222222-1222222-1-12-122-1-1-1-122-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-20000111111000000000000
χ132222222-1222222-1-12-122-1-1-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111122-1-1-2-20000-1-11111000000000000
χ142222222-1222222-1-12-122-1-1-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-21122000011-1-1-1-1000000000000
χ152222222-1-2-2-2-222-1-12-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-10000-211111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−300−i3i32i−2i0000−i3i3−i−iii000000000000
χ162222222-1-2-2-2-222-1-12-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-10000-211111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−300i3−i3−2i2i0000i3−i3ii−i−i000000000000
χ172222222-1-2-2-2-222-1-12-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-10000-211111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−33333333300−i3i3−2i2i0000−i3i3ii−i−i000000000000
χ182222222-1-2-2-2-222-1-12-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-10000-211111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−33333333300i3−i32i−2i0000i3−i3−i−iii000000000000
χ19222222-122222-1-122-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-10000
χ20222222-122222-1-122-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000111111110000
χ21222222-122222-1-122-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000022-2-2000000-1-1-1-111110000
χ22222222-122222-1-122-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000-2-2220000001111-1-1-1-10000
χ232222-2-2222-2-2222222222-2-2-2-2222-2-2-2-222-2-2-2-220000-2222222-2-2-2-2-2000000000000000000000000000000002-222000000-2-20000000000000000
χ242222-2-2222-2-2222222222-2-2-2-2222-2-2-2-222-2-2-2-220000-2222222-2-2-2-2-200000000000000000000000000000000-22-2-2000000220000000000000000
χ252222-2-222-222-2222222-2-22222-2-22-2-2-2-222-2-2-2-2222-2-22-2-2-2-2-2-22222222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ262222-2-222-222-2222222-2-22222-2-22-2-2-2-222-2-2-2-22-2-2222-2-2-2-2-2-222222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ272222-2-22-12-2-2222-1-12-122111122-1-2-211-1-11111-10000-2-1-1-1-1-1-111-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−333332-2-1-1000000113−33−3000000000000
χ282222-2-22-12-2-2222-1-12-122111122-1-2-211-1-11111-10000-2-1-1-1-1-1-111-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−33333-2211000000-1-1−33−33000000000000
χ292222-2-22-12-2-2222-1-12-122111122-1-2-211-1-11111-10000-2-1-1-1-1-1-111-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−32-2-1-100000011−33−33000000000000
χ302222-2-22-12-2-2222-1-12-122111122-1-2-211-1-11111-10000-2-1-1-1-1-1-111-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−3-2211000000-1-13−33−3000000000000
χ312222-2-22-1-222-222-1-12-1-2-2-1-1-1-1-2-2-1-2-211-1-11111-122-2-22111111-1-12-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-1111100−i3i3000000i3−i3−i3i3i3−i3000000000000
χ322222-2-22-1-222-222-1-12-1-2-2-1-1-1-1-2-2-1-2-211-1-11111-122-2-22111111-1-12-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-1111100i3−i3000000−i3i3i3−i3−i3i3000000000000
χ332222-2-22-1-222-222-1-12-1-2-2-1-1-1-1-2-2-1-2-211-1-11111-1-2-2222111111-1-12-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100−i3i3000000i3−i3i3−i3−i3i3000000000000
χ342222-2-22-1-222-222-1-12-1-2-2-1-1-1-1-2-2-1-2-211-1-11111-1-2-2222111111-1-12-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100i3−i3000000−i3i3−i3i3i3−i3000000000000
χ352222-2-2-12-222-2-1-122-1211222211-111-2-2-1-11111-122-2-2-1-2-21111-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000033−3−333−3−30000
χ362222-2-2-12-222-2-1-122-1211222211-111-2-2-1-11111-122-2-2-1-2-21111-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000−3−333−3−3330000
χ372222-2-2-12-222-2-1-122-1211222211-111-2-2-1-11111-1-2-222-1-2-21111-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000033−3−3−3−3330000
χ382222-2-2-12-222-2-1-122-1211222211-111-2-2-1-11111-1-2-222-1-2-21111-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000−3−33333−3−30000
χ392-22-22-22222-2-2-2-2-2-2222222-2-2-2-222-22-2-2-222-2-220000-22-222-2-2-2-222200000000000000000000000000000000000000002i−2i00000000002i−2i2i−2i0000
χ402-22-22-22222-2-2-2-2-2-2222222-2-2-2-222-22-2-2-222-2-220000-22-222-2-2-2-22220000000000000000000000000000000000000000−2i2i0000000000−2i2i−2i2i0000
χ412-22-22-222-2-222-2-2-2-222-2-2-2-2222222-22-2-2-222-2-2200002-22-2-22222-2-2-2000000000000000000000000000000000000000000000000000000002-200
χ422-22-22-222-2-222-2-2-2-222-2-2-2-2222222-22-2-2-222-2-2200002-22-2-22222-2-2-200000000000000000000000000000000000000000000000000000000-2200
χ432-22-22-2-1222-2-211-2-2-12-1-122-2-211-1-112-211-1-111-1000012-2-1-11111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000002i−2i0000003−33−3−ii−ii0000
χ442-22-22-2-1222-2-211-2-2-12-1-122-2-211-1-112-211-1-111-1000012-2-1-11111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000−2i2i000000−33−33i−ii−i0000
χ452-22-22-2-1222-2-211-2-2-12-1-122-2-211-1-112-211-1-111-1000012-2-1-11111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000002i−2i000000−33−33−ii−ii0000
χ462-22-22-2-1222-2-211-2-2-12-1-122-2-211-1-112-211-1-111-1000012-2-1-11111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000−2i2i0000003−33−3i−ii−i0000
χ472-22-2-22222-22-2-2-2-2-22222-2-222-2-22-22-22-2-2-2-2222000022-222-2-222-2-2-200000000000000000000000000000000000000000000000000000000002i−2i
χ482-22-2-22222-22-2-2-2-2-22222-2-222-2-22-22-22-2-2-2-2222000022-222-2-222-2-2-20000000000000000000000000000000000000000000000000000000000−2i2i
χ492-22-2-2222-22-22-2-2-2-222-2-222-2-2222-22-22-2-2-2-22220000-2-22-2-222-2-2222000000000000000000000000000000000000002-2000000002-2-2200000000
χ502-22-2-2222-22-22-2-2-2-222-2-222-2-2222-22-22-2-2-2-22220000-2-22-2-222-2-222200000000000000000000000000000000000000-2200000000-222-200000000
χ512-22-2-22-12-22-2211-2-2-121122-2-2-1-1-11-1-221111-1-1-100001-2211-1-111-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000002-200000000-111-1−i3i3i3−i30000
χ522-22-2-22-12-22-2211-2-2-121122-2-2-1-1-11-1-221111-1-1-100001-2211-1-111-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000-22000000001-1-11i3−i3−i3i30000
χ532-22-2-22-12-22-2211-2-2-121122-2-2-1-1-11-1-221111-1-1-100001-2211-1-111-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000002-200000000-111-1i3−i3−i3i30000
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χ57444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-4-4-4-4-2-2-2111111-2112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2222222221-2-2-2-211111110000222-1-1-1-1-1-12-1-123232323−23−23−23−2300000000−3−3−3−3−3−3−3−3333333330000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2222222221-2-2-2-211111110000222-1-1-1-1-1-12-1-1−23−23−23−23232323230000000033333333−3−3−3−3−3−3−3−30000000000000000000000000000
χ604444-4-4-244-4-44-2-244-24-2-2-4-4-4-4-2-2-222-4-4-2-22222-20000244-2-2-2-222222000000000000000000000000000000000000000000000000000000000000
χ614444-4-4-2-24-4-44-2-2-2-2-2-2-2-22222-2-21222211-1-1-1-1100002-2-21111-1-12-1-12323−23−23−23−23232300000000−3−3−3−333333333−3−3−3−30000000000000000000000000000
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χ7144-4-400-240000-224-42-423−23000023−23-20000-220000200−2i22i200023−2323−230000000−2i22i200−2i22i2i6−i6i6−i6i2−i2i2−i2i6−i6i6−i6i2−i2i2−i2i6−i6i6−i6i2−i2i2−i20000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.