Finite Group Databasebeta

← Group #11787809

Character table — Group #11787809

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444444444444121212121212121244121212121212121212121212222288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-1-11-111111-1-11-1-1-1-1111-1-111-1-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−i11-1-11111-1-1-1-11-1ii−i−iii−i−i11-1-111-1-1i−i
χ101-1-11-111111-1-11-1-1-1-1111-1-111-1-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−i−i−iii11-1-11111-1-1-1-1-11ii−i−i−i−iii-1-111-1-111−ii
χ111-1-11-111111-1-11-1-1-1-1111-1-111-1-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i-1-111-1-1-1-111111-1−i−iiiii−i−i11-1-1-1-111−ii
χ121-1-11-111111-1-11-1-1-1-1111-1-111-1-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iii−i−iii-1-111-1-1-1-11111-11−i−iii−i−iii-1-11111-1-1i−i
χ131-1-11-111111-1-11-1-1-1-1111-1-111-1-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−iii−i−i-1-111-1-1-1-11111-11ii−i−iii−i−i-1-11111-1-1−ii
χ141-1-11-111111-1-11-1-1-1-1111-1-111-1-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−iii-1-111-1-1-1-111111-1ii−i−i−i−iii11-1-1-1-111i−i
χ151-1-11-111111-1-11-1-1-1-1111-1-111-1-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−i−iiiii−i−i11-1-11111-1-1-1-1-11−i−iiiii−i−i-1-111-1-111i−i
χ161-1-11-111111-1-11-1-1-1-1111-1-111-1-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−i−iii−i−iii11-1-11111-1-1-1-11-1−i−iii−i−iii11-1-111-1-1−ii
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χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000000000-22-2200
χ192222222-12222222-1-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000220000-1-1-1-1-1-1-1-1000000
χ202222222-12222222-1-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000011111111000000
χ212222222-12222222-1-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100002222000000000000-2-20000-1-1-1-11111000000
χ222222222-12222222-1-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20000000000002200001111-1-1-1-1000000
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χ24222222-122222-1-1-1222-1-1-1-1-12-12-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2-2-21111111100111100000000000000
χ25222222-122222-1-1-1222-1-1-1-1-12-12-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122220000-2-2-2-21111111100-1-1-1-100000000000000
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χ332222-2-22-12-22-2222-1-1-12222-11-21-1-1-1-2-2-2-111-1-1-1-1-11100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i300002-22-2000000000000000000-11-11i3−i3i3−i3000000
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χ362222-2-2-12-22-22-1-1-12221111-1-21-2-1-1-11-1-1-22211-2111100-1-13−33−3003−33−3003−33−3-22-2200000000−3−333−3−333001-11-100000000000000
χ372222-2-2-12-22-22-1-1-12221111-1-21-2-1-1-11-1-1-22211-2111100-1-1−33−3300−33−3300−33−332-22-200000000−3−333−3−33300-11-1100000000000000
χ382222-2-2-12-22-22-1-1-12221111-1-21-2-1-1-11-1-1-22211-2111100-1-1−33−3300−33−3300−33−33-22-220000000033−3−333−3−3001-11-100000000000000
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χ412-2-222-222-222-22-2-2-2-22-2-2222-222-2-22-22-2-22-2-2-2222-22002-200000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i00000000000000
χ422-2-222-222-222-22-2-2-2-22-2-2222-222-2-22-22-2-22-2-2-2222-22002-20000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i00000000000000
χ432-2-222-22-12-2-222-2-211-122-2-2-112-111-1-2-22-11-1-1-11111-1001-100003−333−3−3−33−3−33300002i−2i−2i2i000000000000000000−iii−i−i3i3i3−i3000000
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χ452-2-222-22-12-2-222-2-211-122-2-2-112-111-1-2-22-11-1-1-11111-1001-10000−33−3−3333−333−3−300002i−2i−2i2i000000000000000000−iii−ii3−i3−i3i3000000
χ462-2-222-22-12-2-222-2-211-122-2-2-112-111-1-2-22-11-1-1-11111-1001-10000−33−3−3333−333−3−30000−2i2i2i−2i000000000000000000i−i−ii−i3i3i3−i3000000
χ472-2-222-2-12-222-2-111-2-2211-1-1-1-2-1211-11-11-22-2112-1-11-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i32i−2i−2i2i00000000−3−33333−3−300−iii−i00000000000000
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χ532-2-22-222-122-2-22-2-211-122-2-2-1-1-2111-122-2-1-11-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii00002i2i−2i−2i0000000000002-20000−i−iii-1-111000000
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χ552-2-22-222-122-2-22-2-211-122-2-2-1-1-2111-122-2-1-11-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i00002i2i−2i−2i000000000000-220000−i−iii11-1-1000000
χ562-2-22-222-122-2-22-2-211-122-2-2-1-1-2111-122-2-1-11-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i0000−2i−2i2i2i0000000000002-20000ii−i−i-1-111000000
χ572-2-22-22-1222-2-2-111-2-22-1-111-121-211-1-1-1122-2-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i000022-2-2-1-1-1-1111100−i−iii00000000000000
χ582-2-22-22-1222-2-2-111-2-22-1-111-121-211-1-1-1122-2-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii−2i−2i2i2i0000-2-2221111-1-1-1-100ii−i−i00000000000000
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χ854-4-444-44-2-444-44-4-422-2-4-444-224-222-2-44-42-2222-2-2-22-200-2200000000000000000000000000000000000000000000000000000000
χ864-4-444-4-244-4-44-222-4-44-2-222-2-4-2422-222-24-44-2-2-4222-2002-200000000000000000000000000000000000000000000000000000000
χ874-4-444-4-2-24-4-44-22222-2-2-22212-2-2-1-1122-2-22-2112-1-1-1100-11000023−23−3−333−232333−3−30000000000000000000000000000000000000000
χ884-4-444-4-2-24-4-44-22222-2-2-22212-2-2-1-1122-2-22-2112-1-1-1100-110000−232333−3−323−23−3−3330000000000000000000000000000000000000000
χ894-4-444-4-2-2-444-4-22222-222-2-212-2-2-1-112-222-22-1-1-211-11001-1−2i32i32i3−2i300i3−i3i3−i300−i3i3−i3i30000000000000000000000000000000000000000
χ904-4-444-4-2-2-444-4-22222-222-2-212-2-2-1-112-222-22-1-1-211-11001-12i3−2i3−2i32i300−i3i3−i3i300i3−i3i3−i30000000000000000000000000000000000000000
χ914-4-44-444-2-4-4444-4-422-2-4-444-2-2-4222-24-4422-222-2-2-2-22002-200000000000000000000000000000000000000000000000000000000
χ924-4-44-44-24-4-444-222-4-4422-2-2-242-422-2-22-2-4-44224-2-2-22002-200000000000000000000000000000000000000000000000000000000
χ934-4-44-44-2-244-4-4-22222-2-2-2221-222-1-11-2-22-2-22112-1-11-14i−4i1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000000000
χ944-4-44-44-2-244-4-4-22222-2-2-2221-222-1-11-2-22-2-22112-1-11-1−4i4i1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000000000
χ954-4-44-44-2-2-4-444-22222-222-2-21-222-1-11-22-222-2-1-1-2111-100-110000003-3-3300-333-30000000000000000000000000000000000000000
χ964-4-44-44-2-2-4-444-22222-222-2-21-222-1-11-22-222-2-1-1-2111-100-11000000-333-3003-3-330000000000000000000000000000000000000000
χ9788-8-8008-40000-88-8-4440000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-400004-44-44443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004-44-444−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-8-884-440000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-4000044-44-4443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4000044-44-44−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.