Finite Group Databasebeta

← Group #11791111

Character table — Group #11791111

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12222222334444666666666666663666666612121212121212122266666666666666661212121288888888242424242424242424242424242424242244666612121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−ii−i
χ101111-1-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii−ii
χ111111-1-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i−i−iii−ii
χ121111-1-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iiiii−i−ii−i
χ131111-1-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iiiii−i−i−ii
χ141111-1-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i−i−iiii−i
χ151111-1-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii−i−iiii−i
χ161111-1-1-1-1111-11-111-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-11-1-111-1-111-1-1-1-1111111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000000000000000000000000000000000002-22-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2000000000000000000000000000000000000-22-2200
χ19222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2-2-2111111111111-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2-2-2111111111111-1-1-1-1-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2322222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2422222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2522222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-1-2-21111-2-2-2-211111111-1-1-1-10000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2622222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-12-1222-1-2-21111-2-2-2-211111111-1-1-1-10000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ272222-2-2-2-222-22-2222-2-2-222-2-2-2-222-2222-2-2-2-22-2-2-2222-22000000000000000000-2-2220000000000000000000000000000000000002i−2i−2i2i00
χ282222-2-2-2-222-22-2222-2-2-222-2-2-2-222-2222-2-2-2-22-2-2-2222-22000000000000000000-2-222000000000000000000000000000000000000−2i2i2i−2i00
χ292222-2-2-2-22-12-22-222-2-2-2-1-111112-1-2-1-1-11111-122-1-211-1-22-222-2-2-1-111-1-1-1-11111-1-11122-2-20000-1-1-1-11111000000002-200-1-1110000000000
χ302222-2-2-2-22-12-22-222-2-2-2-1-111112-1-2-1-1-11111-122-1-211-1-22-222-2-2-1-111-1-1-1-11111-1-111-2-22200001111-1-1-1-100000000-220011-1-10000000000
χ312222-2-2-2-22-12-22-222-2-2-2-1-111112-1-2-1-1-11111-122-1-211-1-2-22-2-22211-1-11111-1-1-1-1-1-11122-2-20000-1-1-1-1111100000000-220011-1-10000000000
χ322222-2-2-2-22-12-22-222-2-2-2-1-111112-1-2-1-1-11111-122-1-211-1-2-22-2-22211-1-11111-1-1-1-1-1-111-2-22200001111-1-1-1-1000000002-200-1-1110000000000
χ332222-2-2-2-2-122-22-2-1-111122-2-2-2-2-121-1-1-11111-1-1-121-2-2212-2-1-11122-2-2-1-1-1-11111-1-11100002i2i−2i−2i00000000−i−i−i−iiiii002i−2i0000−i−iii000000
χ342222-2-2-2-2-122-22-2-1-111122-2-2-2-2-121-1-1-11111-1-1-121-2-2212-2-1-11122-2-2-1-1-1-11111-1-1110000−2i−2i2i2i00000000iiii−i−i−i−i00−2i2i0000ii−i−i000000
χ352222-2-2-2-2-122-22-2-1-111122-2-2-2-2-121-1-1-11111-1-1-121-2-221-2211-1-1-2-2221111-1-1-1-1-1-11100002i2i−2i−2i00000000−i−i−i−iiiii00−2i2i0000ii−i−i000000
χ362222-2-2-2-2-122-22-2-1-111122-2-2-2-2-121-1-1-11111-1-1-121-2-221-2211-1-1-2-2221111-1-1-1-1-1-1110000−2i−2i2i2i00000000iiii−i−i−i−i002i−2i0000−i−iii000000
χ372-2-222-2-22222-2-22-2-22-2-2-2-222-2-22222-2-222-2-222-22-22-2-220000000000000000002-22-200002-22-20000000022-2-222-2-2000000000000000000
χ382-2-222-2-22222-2-22-2-22-2-2-2-222-2-22222-2-222-2-222-22-22-2-220000000000000000002-22-20000-22-2200000000-2-222-2-222000000000000000000
χ392-2-222-2-2222-222-2-2-22-2-2-2-222-2-22222-2-222-2-22-22-22-222-2000000000000000000-22-222-22-2000022-2-222-2-200000000000000000000000000
χ402-2-222-2-2222-222-2-2-22-2-2-2-222-2-22222-2-222-2-22-22-22-222-2000000000000000000-22-22-22-220000-2-222-2-22200000000000000000000000000
χ412-2-222-2-222-1-222-2-2-22-2-211-1-1112-12-111-1-111-1-22121-1-1-2000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i31-11-12-22-20000-1-111-1-111000000000000−i3i3−i3i30000000000
χ422-2-222-2-222-1-222-2-2-22-2-211-1-1112-12-111-1-111-1-22121-1-1-2000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i31-11-1-22-22000011-1-111-1-1000000000000i3−i3i3−i30000000000
χ432-2-222-2-222-1-222-2-2-22-2-211-1-1112-12-111-1-111-1-22121-1-1-2000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31-11-12-22-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ442-2-222-2-222-1-222-2-2-22-2-211-1-1112-12-111-1-111-1-22121-1-1-2000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31-11-1-22-22000011-1-111-1-1000000000000−i3i3−i3i30000000000
χ452-2-222-2-22-122-2-2211-111-2-222-2-2-12-1-111-1-111-1-11212-2-2-100−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-1100002-22-200000000-1-111-1-11100000000−i3i3−i3i3000000
χ462-2-222-2-22-122-2-2211-111-2-222-2-2-12-1-111-1-111-1-11212-2-2-100−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-110000-22-220000000011-1-111-1-100000000i3−i3i3−i3000000
χ472-2-222-2-22-122-2-2211-111-2-222-2-2-12-1-111-1-111-1-11212-2-2-100i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-1100002-22-200000000-1-111-1-11100000000i3−i3i3−i3000000
χ482-2-222-2-22-122-2-2211-111-2-222-2-2-12-1-111-1-111-1-11212-2-2-100i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-110000-22-220000000011-1-111-1-100000000−i3i3−i3i3000000
χ492-2-22-222-22222-2-2-2-2-222-2-2-2-22222-22-2-2-2-22222-222-22-2-20000000000000000002-2-2200002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ502-2-22-222-22222-2-2-2-2-222-2-2-2-22222-22-2-2-2-22222-222-22-2-20000000000000000002-2-220000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ512-2-22-222-222-2-222-2-2-222-2-2-2-22222-22-2-2-2-2222-22-2-22-222000000000000000000-222-22-2-22000022-2-2-2-22200000000000000000000000000
χ522-2-22-222-222-2-222-2-2-222-2-2-2-22222-22-2-2-2-2222-22-2-22-222000000000000000000-222-2-222-20000-2-22222-2-200000000000000000000000000
χ532-2-22-222-22-1-2-222-2-2-2221111-1-12-1-2-11111-1-1-1-221-2-11-12000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i31-1-112-2-220000-1-11111-1-1000000000000−i3i3i3−i30000000000
χ542-2-22-222-22-1-2-222-2-2-2221111-1-12-1-2-11111-1-1-1-221-2-11-12000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i31-1-11-222-2000011-1-1-1-111000000000000i3−i3−i3i30000000000
χ552-2-22-222-22-1-2-222-2-2-2221111-1-12-1-2-11111-1-1-1-221-2-11-12000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i31-1-112-2-220000-1-11111-1-1000000000000i3−i3−i3i30000000000
χ562-2-22-222-22-1-2-222-2-2-2221111-1-12-1-2-11111-1-1-1-221-2-11-12000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i31-1-11-222-2000011-1-1-1-111000000000000−i3i3i3−i30000000000
χ572-2-22-222-2-1222-2-2111-1-1-2-2-2-222-121-11111-1-1-1-112-1-22-2100−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-111-100002i−2i−2i2i00000000−i−iiiii−i−i000000003−3−33000000
χ582-2-22-222-2-1222-2-2111-1-1-2-2-2-222-121-11111-1-1-1-112-1-22-2100−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-111-10000−2i2i2i−2i00000000ii−i−i−i−iii00000000−333−3000000
χ592-2-22-222-2-1222-2-2111-1-1-2-2-2-222-121-11111-1-1-1-112-1-22-2100i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-111-100002i−2i−2i2i00000000−i−iiiii−i−i00000000−333−3000000
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χ61444444444-2-4-4-4-444444-2-2-2-2-2-24-24-2-2-2-2-2-2-2-2-4-42-4222-40000000000000000002222000000000000000000000000000000000000000000
χ6244444444-24-4-4-4-4-2-2-2-2-2444444-24-2-2-2-2-2-2-2-2-222-42-4-4-420000000000000000002222000000000000000000000000000000000000000000
χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
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χ704444-4-4-4-4-2-24-44-4-2-2222-2-22222-2-22111-1-1-1-11-2-2-2222-22-4422-2-222-2-2-1-1-1-1111111-1-1000000000000000000000000000000000000000000
χ714444-4-4-4-4-2-2-44-44-2-2222-2-22222-2-22111-1-1-1-11222-2-2-22-200000000003-3-33-333-3-1-111000000000000000000000000000000000000000000
χ724444-4-4-4-4-2-2-44-44-2-2222-2-22222-2-22111-1-1-1-11222-2-2-22-20000000000-333-33-3-33-1-111000000000000000000000000000000000000000000
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χ894-44-4-44-444-20000-4444-42-22-2-22-42-4-22-22-2-22200000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ904-44-4-44-444-20000-4444-42-22-2-22-42-4-22-22-2-22200000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ914-44-4-44-44-2400002-2-2-22-44-444-42-42-22-22-2-22200000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ924-44-4-44-44-2400002-2-2-22-44-444-42-42-22-22-2-2220000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ934-4-444-4-444-24-4-44-4-44-4-422-2-2224-24-222-2-222-24-4-2-4-2224000000000000000000-22-22000000000000000000000000000000000000000000
χ944-4-444-4-44-24-444-422-222-4-444-4-4-24-2-222-2-222-22-2-4-2-44420000000000000000002-22-2000000000000000000000000000000000000000000
χ954-4-444-4-44-2-24-4-4422-22222-2-222-2-2-21-1-111-1-11-22-22-222-200−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i31-11-1000000000000000000000000000000000000000000
χ964-4-444-4-44-2-24-4-4422-22222-2-222-2-2-21-1-111-1-11-22-22-222-2002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i31-11-1000000000000000000000000000000000000000000
χ974-4-444-4-44-2-2-444-422-22222-2-222-2-2-21-1-111-1-112-22-22-2-22000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3-11-11000000000000000000000000000000000000000000
χ984-4-444-4-44-2-2-444-422-22222-2-222-2-2-21-1-111-1-112-22-22-2-220000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3-11-11000000000000000000000000000000000000000000
χ994-4-44-444-44-244-4-4-4-4-4442222-2-24-2-4-22222-2-2-24-4-242-22-4000000000000000000-222-2000000000000000000000000000000000000000000
χ1004-4-44-444-4-24-4-444222-2-2-4-4-4-444-242-22222-2-2-22-2-424-44-20000000000000000002-2-22000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-244-4-4222-2-22222-2-2-2-221-1-1-1-1111-22-2-22-22200−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i31-1-11000000000000000000000000000000000000000000
χ1024-4-44-444-4-2-244-4-4222-2-22222-2-2-2-221-1-1-1-1111-22-2-22-222002i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i31-1-11000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-2-4-444222-2-22222-2-2-2-221-1-1-1-11112-222-22-2-2000000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i3-111-1000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-2-4-444222-2-22222-2-2-2-221-1-1-1-11112-222-22-2-20000002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i3-111-1000000000000000000000000000000000000000000
χ10588-8-888-8-8-4-40000-444-44-44-44-4444-422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-44-44-4-444-44-444422-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-400004-444-44-4-444-444-42-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-400004-4-4-444-44-4-444442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).