Finite Group Databasebeta

← Group #11795340

Character table — Group #11795340

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order12222233444466666612121212121212123666666666668888121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444888888121212122424242424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ922222222-2-2-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000002i−2i0000000000002i2i−2i−2i0000
χ1022222222-2-2-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000−2i2i000000000000−2i−2i2i2i0000
χ112222222-12222222-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-100000000-1-1-1-10000
χ122222222-12222222-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-211110000000011110000
χ132222222-12222222-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111220000-2-2-1-1-1-10000000011110000
χ142222222-12222222-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2000022111100000000-1-1-1-10000
χ152222222-1-2-2-2-2222-1-1-111-2-2-2-211-122-1-1-1-1-1-1-1-1-10000-211111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−30000002i−2i−i3−i3i3i300000000−i−iii0000
χ162222222-1-2-2-2-2222-1-1-111-2-2-2-211-122-1-1-1-1-1-1-1-1-10000-211111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3000000−2i2ii3i3−i3−i300000000ii−i−i0000
χ172222222-1-2-2-2-2222-1-1-111-2-2-2-211-122-1-1-1-1-1-1-1-1-10000-211111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−3333333330000002i−2ii3i3−i3−i300000000−i−iii0000
χ182222222-1-2-2-2-2222-1-1-111-2-2-2-211-122-1-1-1-1-1-1-1-1-10000-211111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333000000−2i2i−i3−i3i3i300000000ii−i−i0000
χ19222222-122222-1-1-122222-1-1-1-122-1-1-122-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-100000000
χ20222222-122222-1-1-122222-1-1-1-122-1-1-122-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000001111111100000000
χ21222222-122222-1-1-122222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110022-2-2000000-1-1-1-1111100000000
χ22222222-122222-1-1-122222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100-2-2220000001111-1-1-1-100000000
χ232222-2-2222-2-2222222222-2-2-2-2222-2-2-2-222-2-2-2-2222-2-22-2-222-2-2-2-222222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ242222-2-2222-2-2222222222-2-2-2-2222-2-2-2-222-2-2-2-22-2-2222-2-222-2-2-2-2222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ252222-2-222-222-2222222-2-22222-2-22-2-2-2-222-2-2-2-220000-222-2-22222-2-2-2000000000000000000000000000000002-20000002-22-20000000000000000
χ262222-2-222-222-2222222-2-22222-2-22-2-2-2-222-2-2-2-220000-222-2-22222-2-2-200000000000000000000000000000000-22000000-22-220000000000000000
χ272222-2-22-12-2-22222-1-1-1-1-1-2-2-2-2-1-1-1-2-211-1-11111-122-2-2211-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000−i3i3i3−i300000000−i3i3−i3i30000
χ282222-2-22-12-2-22222-1-1-1-1-1-2-2-2-2-1-1-1-2-211-1-11111-122-2-2211-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000i3−i3−i3i300000000i3−i3i3−i30000
χ292222-2-22-12-2-22222-1-1-1-1-1-2-2-2-2-1-1-1-2-211-1-11111-1-2-222211-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100000000−i3i3i3−i300000000i3−i3i3−i30000
χ302222-2-22-12-2-22222-1-1-1-1-1-2-2-2-2-1-1-1-2-211-1-11111-1-2-222211-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100000000i3−i3−i3i300000000−i3i3−i3i30000
χ312222-2-22-1-222-2222-1-1-111222211-1-2-211-1-11111-10000-2-1-111-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−333332-2000000-11-11000000003−3−330000
χ322222-2-22-1-222-2222-1-1-111222211-1-2-211-1-11111-10000-2-1-111-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−33333-220000001-11-100000000−333−30000
χ332222-2-22-1-222-2222-1-1-111222211-1-2-211-1-11111-10000-2-1-111-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−32-2000000-11-1100000000−333−30000
χ342222-2-22-1-222-2222-1-1-111222211-1-2-211-1-11111-10000-2-1-111-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−3-220000001-11-1000000003−3−330000
χ352222-2-2-122-2-22-1-1-122222111122-111-2-2-1-11111-122-2-2-1-2-2-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000033−3−333−3−300000000
χ362222-2-2-122-2-22-1-1-122222111122-111-2-2-1-11111-122-2-2-1-2-2-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000−3−333−3−33300000000
χ372222-2-2-122-2-22-1-1-122222111122-111-2-2-1-11111-1-2-222-1-2-2-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000033−3−3−3−33300000000
χ382222-2-2-122-2-22-1-1-122222111122-111-2-2-1-11111-1-2-222-1-2-2-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000−3−33333−3−300000000
χ3922-2-22-22222-2-2-2-222-2-22222-2-2-2-222-22-2-2-222-2-22000022-22222-2-2-2-2-20000000000000000000000000000000000002-200000000002-22-200000000
χ4022-2-22-22222-2-2-2-222-2-22222-2-2-2-222-22-2-2-222-2-22000022-22222-2-2-2-2-2000000000000000000000000000000000000-220000000000-22-2200000000
χ4122-2-22-222-2-222-2-222-2-2-2-2-2-2222222-22-2-2-222-2-220000-2-22-2-2-2-222222000000000000000000000000000000000000000000000000000000002i−2i00
χ4222-2-22-222-2-222-2-222-2-2-2-2-2-2222222-22-2-2-222-2-220000-2-22-2-2-2-22222200000000000000000000000000000000000000000000000000000000−2i2i00
χ4322-2-22-2-1222-2-211-12-2-222-1-111-2-2-1-112-211-1-111-10000-12-2-1-1-1-1111110000000033−3−333−3−333−3−333−3−333−3−333−3−300002-20000003−33−3-11-1100000000
χ4422-2-22-2-1222-2-211-12-2-222-1-111-2-2-1-112-211-1-111-10000-12-2-1-1-1-1111110000000033−3−333−3−333−3−333−3−333−3−333−3−30000-22000000−33−331-11-100000000
χ4522-2-22-2-1222-2-211-12-2-222-1-111-2-2-1-112-211-1-111-10000-12-2-1-1-1-11111100000000−3−333−3−333−3−333−3−333−3−333−3−33300002-2000000−33−33-11-1100000000
χ4622-2-22-2-1222-2-211-12-2-222-1-111-2-2-1-112-211-1-111-10000-12-2-1-1-1-11111100000000−3−333−3−333−3−333−3−333−3−333−3−3330000-220000003−33−31-11-100000000
χ4722-2-2-22222-22-2-2-222-2-222-2-222-2-22-22-22-2-2-2-222200002-2222-2-222-2-2-200000000000000000000000000000000002-2000000002-2-22000000000000
χ4822-2-2-22222-22-2-2-222-2-222-2-222-2-22-22-22-2-2-2-222200002-2222-2-222-2-2-20000000000000000000000000000000000-2200000000-222-2000000000000
χ4922-2-2-2222-22-22-2-222-2-2-2-222-2-2222-22-22-2-2-2-22220000-22-2-2-222-2-222200000000000000000000000000000000000000000000000000000000002i−2i
χ5022-2-2-2222-22-22-2-222-2-2-2-222-2-2222-22-22-2-2-2-22220000-22-2-2-222-2-22220000000000000000000000000000000000000000000000000000000000−2i2i
χ5122-2-2-22-122-22-211-12-2-22211-1-1-2-2-11-1-221111-1-1-10000-1-22-1-111-1-11110000000033−3−3−3−33333−3−3−3−33333−3−3−3−333002-200000000-111-1−333−300000000
χ5222-2-2-22-122-22-211-12-2-22211-1-1-2-2-11-1-221111-1-1-10000-1-22-1-111-1-11110000000033−3−3−3−33333−3−3−3−33333−3−3−3−33300-22000000001-1-113−3−3300000000
χ5322-2-2-22-122-22-211-12-2-22211-1-1-2-2-11-1-221111-1-1-10000-1-22-1-111-1-111100000000−3−33333−3−3−3−33333−3−3−3−33333−3−3002-200000000-111-13−3−3300000000
χ5422-2-2-22-122-22-211-12-2-22211-1-1-2-2-11-1-221111-1-1-10000-1-22-1-111-1-111100000000−3−33333−3−3−3−33333−3−3−3−33333−3−300-22000000001-1-11−333−300000000
χ55444444-24-4-4-4-4-2-2-2444-4-42222-4-4-2-2-244-2-2-2-2-2-2-200002-4-4222222222000000000000000000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-211111114444-2-2-2111111-211-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
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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
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χ614444-4-4-2-24-4-44-2-2-2-2-2-2-2-22222-2-21222211-1-1-1-1144-4-4-22211-1-1-1-1-211-2-222-2-222-2-2-2-222221111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ624444-4-4-2-24-4-44-2-2-2-2-2-2-2-22222-2-21222211-1-1-1-11-4-444-22211-1-1-1-1-21122-2-222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000000000000000
χ634444-4-4-2-2-444-4-2-2-2-2-2-222-2-2-2-2221222211-1-1-1-1100002-2-2-1-111112-1-12323−23−23−23−23232300000000−3−3−3−333333333−3−3−3−30000000000000000000000000000
χ644444-4-4-2-2-444-4-2-2-2-2-2-222-2-2-2-2221222211-1-1-1-1100002-2-2-1-111112-1-1−23−2323232323−23−23000000003333−3−3−3−3−3−3−3−333330000000000000000000000000000
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χ804-44-4004400004-4-4-44-400000000400004-40000-4002i2−2i2000000000000002i2−2i2002i2−2i200002i2−2i22i2−2i200002i2−2i22i2−2i200002i2−2i22i2−2i20000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.