Finite Group Databasebeta

← Group #11795308

Character table — Group #11795308

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222334444666666666612121212366666666688881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444444488121212121212121212121212242424248888
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
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000002i−2i0000000000002i2i−2i−2i0000
χ1022222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000−2i2i000000000000−2i−2i2i2i0000
χ112222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-100000000-1-1-1-10000
χ122222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-211110000000011110000
χ132222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111220000-2-2-1-1-1-10000000011110000
χ142222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2000022111100000000-1-1-1-10000
χ152222222-1-2-2-2-2222222-1-1-121111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−30000002i−2i−i3−i3i3i300000000−i−iii0000
χ162222222-1-2-2-2-2222222-1-1-121111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3000000−2i2ii3i3−i3−i300000000ii−i−i0000
χ172222222-1-2-2-2-2222222-1-1-121111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−3333333330000002i−2ii3i3−i3−i300000000−i−iii0000
χ182222222-1-2-2-2-2222222-1-1-121111-1-1-1-1-1-1-1-1-1-10000-2-2-211111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333000000−2i2i−i3−i3i3i300000000ii−i−i0000
χ19222222-122222-1-1-1-1-1-1222-12222-122-1-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-100000000
χ20222222-122222-1-1-1-1-1-1222-12222-122-1-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000001111111100000000
χ21222222-122222-1-1-1-1-1-1222-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110022-2-2000000-1-1-1-1111100000000
χ22222222-122222-1-1-1-1-1-1222-12222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100-2-2220000001111-1-1-1-100000000
χ232222-2-22222-2-22-2-2-2-22222222222-2-222-2-2-2-2222-2-22-2-2-2-222-2-2-2-222222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ242222-2-22222-2-22-2-2-2-22222222222-2-222-2-2-2-22-2-2222-2-2-2-222-2-2-2-2222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ252222-2-222-2-2222-2-2-2-222222-2-2-2-22-2-222-2-2-2-220000-22222-2-22222-2-2-2000000000000000000000000000000002-20000002-22-20000000000000000
χ262222-2-222-2-2222-2-2-2-222222-2-2-2-22-2-222-2-2-2-220000-22222-2-22222-2-2-200000000000000000000000000000000-22000000-22-220000000000000000
χ272222-2-22-122-2-22-2-2-2-22-1-1-12-1-1-1-1-111-1-11111-122-2-22-2-211-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000−i3i3i3−i300000000−i3i3−i3i30000
χ282222-2-22-122-2-22-2-2-2-22-1-1-12-1-1-1-1-111-1-11111-122-2-22-2-211-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000i3−i3−i3i300000000i3−i3i3−i30000
χ292222-2-22-122-2-22-2-2-2-22-1-1-12-1-1-1-1-111-1-11111-1-2-2222-2-211-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100000000−i3i3i3−i300000000i3−i3i3−i30000
χ302222-2-22-122-2-22-2-2-2-22-1-1-12-1-1-1-1-111-1-11111-1-2-2222-2-211-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100000000i3−i3−i3i300000000−i3i3−i3i30000
χ312222-2-22-1-2-2222-2-2-2-22-1-1-121111-111-1-11111-10000-222-1-111-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−333332-2000000-11-11000000003−3−330000
χ322222-2-22-1-2-2222-2-2-2-22-1-1-121111-111-1-11111-10000-222-1-111-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−33333-220000001-11-100000000−333−30000
χ332222-2-22-1-2-2222-2-2-2-22-1-1-121111-111-1-11111-10000-222-1-111-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−32-2000000-11-1100000000−333−30000
χ342222-2-22-1-2-2222-2-2-2-22-1-1-121111-111-1-11111-10000-222-1-111-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−3-220000001-11-1000000003−3−330000
χ352222-2-2-1222-2-2-11111-1222-12222-1-2-2-1-11111-122-2-2-111-2-2-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000−i3−i3i3i3−i3−i3i3i300000000
χ362222-2-2-1222-2-2-11111-1222-12222-1-2-2-1-11111-122-2-2-111-2-2-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000i3i3−i3−i3i3i3−i3−i300000000
χ372222-2-2-1222-2-2-11111-1222-12222-1-2-2-1-11111-1-2-222-111-2-2-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000−i3−i3i3i3i3i3−i3−i300000000
χ382222-2-2-1222-2-2-11111-1222-12222-1-2-2-1-11111-1-2-222-111-2-2-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000i3i3−i3−i3−i3−i3i3i300000000
χ3922-2-22-2222-22-2-222-2-222-2-2-222-2-222-2-2-222-2-22000022-22-22222-2-2-2-2-200000000000000000000000000000000000000000000000000000000002-2
χ4022-2-22-2222-22-2-222-2-222-2-2-222-2-222-2-2-222-2-22000022-22-22222-2-2-2-2-20000000000000000000000000000000000000000000000000000000000-22
χ4122-2-22-222-22-22-222-2-222-2-2-2-2-22222-2-2-222-2-220000-2-22-22-2-2-2-22222200000000000000000000000000000000002i−2i000000002i−2i2i−2i000000000000
χ4222-2-22-222-22-22-222-2-222-2-2-2-2-22222-2-2-222-2-220000-2-22-22-2-2-2-2222220000000000000000000000000000000000−2i2i00000000−2i2i−2i2i000000000000
χ4322-2-22-2-12-22-221-1-111-12-2-21-2-222-12-211-1-111-1000011-1-221111-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002i−2i00000000−ii−ii3−33−300000000
χ4422-2-22-2-12-22-221-1-111-12-2-21-2-222-12-211-1-111-1000011-1-221111-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300−2i2i00000000i−ii−i−33−3300000000
χ4522-2-22-2-12-22-221-1-111-12-2-21-2-222-12-211-1-111-1000011-1-221111-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002i−2i00000000−ii−ii−33−3300000000
χ4622-2-22-2-12-22-221-1-111-12-2-21-2-222-12-211-1-111-1000011-1-221111-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300−2i2i00000000i−ii−i3−33−300000000
χ4722-2-2-22222-2-22-2-2-22222-2-2-222-2-22-22-2-2-2-222200002-22-2222-2-222-2-2-2000000000000000000000000000000000000000000000000000000002-200
χ4822-2-2-22222-2-22-2-2-22222-2-2-222-2-22-22-2-2-2-222200002-22-2222-2-222-2-2-200000000000000000000000000000000000000000000000000000000-2200
χ4922-2-2-2222-222-2-2-2-22222-2-2-2-2-2222-22-2-2-2-22220000-22-22-2-2-222-2-22220000000000000000000000000000000000002i−2i00000000002i−2i−2i2i00000000
χ5022-2-2-2222-222-2-2-2-22222-2-2-2-2-2222-22-2-2-2-22220000-22-22-2-2-222-2-2222000000000000000000000000000000000000−2i2i0000000000−2i2i2i−2i00000000
χ5122-2-2-22-12-222-2111-1-1-12-2-21-2-222-1-221111-1-1-100001-112-211-1-111-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300002i−2i0000003−3−33−iii−i00000000
χ5222-2-2-22-12-222-2111-1-1-12-2-21-2-222-1-221111-1-1-100001-112-211-1-111-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000−2i2i000000−333−3i−i−ii00000000
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χ55444444-24-4-4-4-4-2-2-2-2-2-2444-2-4-4-4-4-244-2-2-2-2-2-2-20000222-4-4222222222000000000000000000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-211111114444-2-2-2-2-2111111-211-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111-4-4-4-4-2-2-2-2-2111111-2112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-123232323−23−23−23−2300000000−3−3−3−3−3−3−3−3333333330000000000000000000000000000
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
χ604444-4-4-24-4-444-22222-2444-2-4-4-4-4-2-4-4-2-22222-200002-2-24422-2-2-2-2222000000000000000000000000000000000000000000000000000000000000
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χ7544-4-4-44-2-24-4-44222-2-2-2-2222-2-22212-2-1-1-1-11110000-22-22-211-1-1112-1-100000000000000003i3i−3i−3i−3i−3i3i3i−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ7644-4-4-44-2-24-4-44222-2-2-2-2222-2-22212-2-1-1-1-11110000-22-22-211-1-1112-1-10000000000000000−3i−3i3i3i3i3i−3i−3i3i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.