Finite Group Databasebeta

← Group #11864454

Character table — Group #11864454

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444444444448888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222223344446666662234466666666666121212121212121212121212121212126666666612121212121212122244444466661212121212121212121212122266668824242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
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
χ5111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ7111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111
χ91111-1-111-1-111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11-111-1-11-111-1-111-1-11-1
χ101111-1-111-1-111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-11-1-111-11-1-111-1-111-11
χ111111-1-111-1-111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-111111-111-1-11-111-1-1-1-111-11
χ121111-1-111-1-111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111-11-1-111-11-1-11111-1-11-1
χ131111-1-111-1-111111111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-1-1-111111-111-1-1-11-1-111-1-1111-1
χ141111-1-111-1-111111111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-111-1-111-1-1-11
χ151111-1-111-1-111111111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-111-1-1111111-1-1-1-11-111-1-1-11-1-11111-1-1-11
χ161111-1-111-1-111111111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-111-1-1111111-1-1-1-1-11-1-1111-111-1-1-1-1111-1
χ1722222222-2-2-2-22222220020022000022222-2-2-2-2-2-2-20000-2-2-2-2-20022000000-2-200002-2-22000022-2-2-2-22200000000000000000000000000
χ1822222222-2-2-2-22222220020022000022222-2-2-2-2-2-2-20000-2-2-2-2-20022000000-2-20000-222-20000-2-22222-2-200000000000000000000000000
χ192222222-1222222-1-1-1222-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-122-1-1-1-1000000
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χ212222222-1222222-1-1-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-111-1-1111111-1-1111100000000000000000000000022-1-1-1-1-2-21111000000
χ222222222-1222222-1-1-12-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-111-1-1111111-1-11111000000000000000000000000-2-2111122-1-1-1-1000000
χ23222222-122222-1-1222-122-122-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ24222222-122222-1-1222-122-122-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ25222222-122222-1-1222-1-2-2-1-2-2-1-1111122-1-1-1222-1-1-1-11111-1-1-1-12-2-2-1-11111-2-2-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000
χ26222222-122222-1-1222-1-2-2-1-2-2-1-1111122-1-1-1222-1-1-1-11111-1-1-1-12-2-2-1-11111-2-2-1-11111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000
χ27222222-12-2-2-2-2-1-1222-100-100-1-1−i3−i3i3i322-1-1-1-2-2-21111−i3−i3i3i31111-200-1-1−i3−i3i3i30011−i3−i3i3i32-2-220000-1-11111-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000
χ28222222-12-2-2-2-2-1-1222-100-100-1-1−i3−i3i3i322-1-1-1-2-2-21111−i3−i3i3i31111-200-1-1−i3−i3i3i30011−i3−i3i3i3-222-2000011-1-1-1-111i3i3−i3−i3i3i3−i3−i3000000000000000000
χ29222222-12-2-2-2-2-1-1222-100-100-1-1i3i3−i3−i322-1-1-1-2-2-21111i3i3−i3−i31111-200-1-1i3i3−i3−i30011i3i3−i3−i32-2-220000-1-11111-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
χ30222222-12-2-2-2-2-1-1222-100-100-1-1i3i3−i3−i322-1-1-1-2-2-21111i3i3−i3−i31111-200-1-1i3i3−i3−i30011i3i3−i3−i3-222-2000011-1-1-1-111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ312222-2-22222-2-222222200200-2-20000-2-2222-222-2-22200002222-200-2-2000000-2-2000022-2-200002222-2-2-2-200000000000000000000000000
χ322222-2-22222-2-222222200200-2-20000-2-2222-222-2-22200002222-200-2-2000000-2-20000-2-2220000-2-2-2-2222200000000000000000000000000
χ332222-2-22-1-2-22222-1-1-1222-1-2-2-2-2222211-1-1-1-11122-2-2-2-2-2-21111-1-1-111-1-1-1-111-1-111110000000000000000000000002-2-1-1112-2-1-111000000
χ342222-2-22-1-2-22222-1-1-1222-1-2-2-2-2222211-1-1-1-11122-2-2-2-2-2-21111-1-1-111-1-1-1-111-1-11111000000000000000000000000-2211-1-1-2211-1-1000000
χ352222-2-22-1-2-22222-1-1-12-2-2-122-2-2-2-2-2-211-1-1-1-11122-2-222221111-111111111-1-1-1-1-1-1-1-10000000000000000000000002-2-1-111-2211-1-1000000
χ362222-2-22-1-2-22222-1-1-12-2-2-122-2-2-2-2-2-211-1-1-1-11122-2-222221111-111111111-1-1-1-1-1-1-1-1000000000000000000000000-2211-1-12-2-1-111000000
χ372222-2-2-1222-2-2-1-1222-100-10011−i3−i3i3i3-2-2-1-1-1-22211-1-1i3i3−i3−i3-1-1-1-1-20011−i3−i3i3i30011i3i3−i3−i322-2-20000-1-1-1-11111−i3−i3i3i3i3i3−i3−i3000000000000000000
χ382222-2-2-1222-2-2-1-1222-100-10011−i3−i3i3i3-2-2-1-1-1-22211-1-1i3i3−i3−i3-1-1-1-1-20011−i3−i3i3i30011i3i3−i3−i3-2-22200001111-1-1-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
χ392222-2-2-1222-2-2-1-1222-100-10011i3i3−i3−i3-2-2-1-1-1-22211-1-1−i3−i3i3i3-1-1-1-1-20011i3i3−i3−i30011−i3−i3i3i322-2-20000-1-1-1-11111i3i3−i3−i3−i3−i3i3i3000000000000000000
χ402222-2-2-1222-2-2-1-1222-100-10011i3i3−i3−i3-2-2-1-1-1-22211-1-1−i3−i3i3i3-1-1-1-1-20011i3i3−i3−i30011−i3−i3i3i3-2-22200001111-1-1-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ412222-2-2-12-2-222-1-1222-122-1-2-211-1-1-1-1-2-2-1-1-12-2-2-1-1111111111122211-1-1-1-1-2-2-1-111112-22-222-2-2-1-111-1-111-1-1-1-11111000000000000000000
χ422222-2-2-12-2-222-1-1222-122-1-2-211-1-1-1-1-2-2-1-1-12-2-2-1-1111111111122211-1-1-1-1-2-2-1-11111-22-22-2-22211-1-111-1-11111-1-1-1-1000000000000000000
χ432222-2-2-12-2-222-1-1222-1-2-2-122111111-2-2-1-1-12-2-2-1-111-1-1-1-111112-2-211111122-1-1-1-1-1-12-22-2-2-222-1-111-1-1111111-1-1-1-1000000000000000000
χ442222-2-2-12-2-222-1-1222-1-2-2-122111111-2-2-1-1-12-2-2-1-111-1-1-1-111112-2-211111122-1-1-1-1-1-1-22-2222-2-211-1-111-1-1-1-1-1-11111000000000000000000
χ452-2-222-2222-22-2-2-2-2-2222-222-22-22-22-22-2-2-22-22-22-22-22-22-222-2-222-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000
χ462-2-222-2222-22-2-2-2-2-222-222-222-2-22-222-2-2-22-22-22-22-2-22-2222-2-22-222-2-22-22-222-2-22-22000000000000000000000000000000000000000000
χ472-2-222-222-22-22-2-2-2-222002002-200002-2-2-222-22-22-220000-2-222-2002-2000000-22000000002-22-2000000002-22-22-22-2000000000000000000
χ482-2-222-222-22-22-2-2-2-222002002-200002-2-2-222-22-22-220000-2-222-2002-2000000-2200000000-22-2200000000-22-22-22-22000000000000000000
χ492-2-222-22-12-22-2-2-211-122-2-12-22-22-22-2-1111-11-112-22-22-22-2-1-111-1-11-11-11-11-11-11-11-1100000000000000000000000000−i3i3−i3i300−i3i3−i3i3000000
χ502-2-222-22-12-22-2-2-211-122-2-12-22-22-22-2-1111-11-112-22-22-22-2-1-111-1-11-11-11-11-11-11-11-1100000000000000000000000000i3−i3i3−i300i3−i3i3−i3000000
χ512-2-222-22-12-22-2-2-211-12-22-1-222-2-22-22-1111-11-112-22-2-22-22-1-111-11-1-111-11-11-1-111-11-100000000000000000000000000−i3i3−i3i300i3−i3i3−i3000000
χ522-2-222-22-12-22-2-2-211-12-22-1-222-2-22-22-1111-11-112-22-2-22-22-1-111-11-1-111-11-11-1-111-11-100000000000000000000000000i3−i3i3−i300−i3i3−i3i3000000
χ532-2-222-2-122-22-211-2-22-12-2-12-2-11-11-112-211-1-22-2-11-11-11-11-1-11122-2-11-11-112-2-11-11-1100000000−i3i3−i3i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000000000
χ542-2-222-2-122-22-211-2-22-12-2-12-2-11-11-112-211-1-22-2-11-11-11-11-1-11122-2-11-11-112-2-11-11-1100000000i3−i3i3−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000
χ552-2-222-2-122-22-211-2-22-1-22-1-22-111-11-12-211-1-22-2-11-111-11-1-1-1112-22-111-11-1-22-111-11-100000000−i3i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000
χ562-2-222-2-122-22-211-2-22-1-22-1-22-111-11-12-211-1-22-2-11-111-11-1-1-1112-22-111-11-1-22-111-11-100000000i3−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000
χ572-2-222-2-12-22-2211-2-22-100-100-11−i3i3i3−i32-211-12-221-11-1−i3i3i3−i311-1-1-200-11−i3i3i3−i3001-1−i3i3i3−i300002-22-2−i3i3i3−i3i3−i3−i3i3-11-11-11-11000000000000000000
χ582-2-222-2-12-22-2211-2-22-100-100-11−i3i3i3−i32-211-12-221-11-1−i3i3i3−i311-1-1-200-11−i3i3i3−i3001-1−i3i3i3−i30000-22-22i3−i3−i3i3−i3i3i3−i31-11-11-11-1000000000000000000
χ592-2-222-2-12-22-2211-2-22-100-100-11i3−i3−i3i32-211-12-221-11-1i3−i3−i3i311-1-1-200-11i3−i3−i3i3001-1i3−i3−i3i300002-22-2i3−i3−i3i3−i3i3i3−i3-11-11-11-11000000000000000000
χ602-2-222-2-12-22-2211-2-22-100-100-11i3−i3−i3i32-211-12-221-11-1i3−i3−i3i311-1-1-200-11i3−i3−i3i3001-1i3−i3−i3i30000-22-22−i3i3i3−i3i3−i3−i3i31-11-11-11-1000000000000000000
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χ652-2-22-222-1-222-2-2-211-122-2-1-22-222-22-21-111-111-12-2-22-22-2211-1-1-1-111-1-11-111-1-111-11-100000000000000000000000000−i3i3i3−i300−i3i3i3−i3000000
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χ682-2-22-222-1-222-2-2-211-12-22-12-2-22-22-221-111-111-12-2-222-22-211-1-1-11-11-11-11-1-11-11-11-1100000000000000000000000000i3−i3−i3i300−i3i3i3−i3000000
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χ732-2-22-22-12-222-211-2-22-12-2-1-221-1-11-11-2211-1-2-22-111-11-11-111-1-122-21-1-11-11-22-111-11-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000
χ742-2-22-22-12-222-211-2-22-12-2-1-221-1-11-11-2211-1-2-22-111-11-11-111-1-122-21-1-11-11-22-111-11-100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000
χ752-2-22-22-12-222-211-2-22-1-22-12-21-11-11-1-2211-1-2-22-111-1-11-1111-1-12-221-11-11-12-2-11-11-1100000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000
χ762-2-22-22-12-222-211-2-22-1-22-12-21-11-11-1-2211-1-2-22-111-1-11-1111-1-12-221-11-11-12-2-11-11-1100000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000
χ774444444-2-4-4-4-444-2-2-2400-200440000-2-2-2-2-2222-4-4-4-400002222200-2-2000000220000000000000000000000000000000000000000000000
χ78444444-2-24444-2-2-2-2-2-244144-2-2-2-2-2-2-2-2111-2-2-2-2-2-2-2-2-2-2-21111-2-2-2111111-2-2111111000000000000000000000000000000000000000000
χ79444444-2-24444-2-2-2-2-2-2-4-41-4-4-2-22222-2-2111-2-2-2-2-2-2-222221111-22211-1-1-1-12211-1-1-1-1000000000000000000000000000000000000000000
χ80444444-2-2-4-4-4-4-2-2-2-2-2-200100-2-2−2i3−2i32i32i3-2-21112222222−2i3−2i32i32i3-1-1-1-120011i3i3−i3−i300-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ81444444-2-2-4-4-4-4-2-2-2-2-2-200100-2-22i32i3−2i3−2i3-2-211122222222i32i3−2i3−2i3-1-1-1-120011−i3−i3i3i300-1-1−i3−i3i3i3000000000000000000000000000000000000000000
χ824444-4-44-244-4-444-2-2-2400-200-4-4000022-2-2-22-2-2-4-4440000-2-2-2-220022000000220000000000000000000000000000000000000000000000
χ834444-4-4-2-244-4-4-2-2-2-2-2-20010022−2i3−2i32i32i3221112-2-222-2-22i32i3−2i3−2i31111200-1-1i3i3−i3−i300-1-1−i3−i3i3i3000000000000000000000000000000000000000000
χ844444-4-4-2-244-4-4-2-2-2-2-2-200100222i32i3−2i3−2i3221112-2-222-2-2−2i3−2i32i32i31111200-1-1−i3−i3i3i300-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ854444-4-4-2-2-4-444-2-2-2-2-2-2441-4-422-2-2-2-222111-222-2-2222222-1-1-1-1-2-2-2-1-111112211-1-1-1-1000000000000000000000000000000000000000000
χ864444-4-4-2-2-4-444-2-2-2-2-2-2-4-414422222222111-222-2-222-2-2-2-2-1-1-1-1-222-1-1-1-1-1-1-2-2111111000000000000000000000000000000000000000000
χ8744-4-4004400004-44-4-4-400400000000004-4-40000000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ8844-4-4004400004-44-4-4-400400000000004-4-400000000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ894-44-400440000-44-44-4-40040000000000-44-400000000000000000000000000000000000000000000000000000000000000000000−2i22i20000
χ904-44-400440000-44-44-4-40040000000000-44-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i20000
χ914-4-444-44-2-44-44-4-422-2400-2004-40000-2222-2-22-2-44-44000022-2-2200-220000002-20000000000000000000000000000000000000000000000
χ924-4-444-4-2-24-44-42222-2-24-414-4-22-22-22-22-1-112-22-22-22-22-2211-1-1-2-221-11-11-1-221-11-11-1000000000000000000000000000000000000000000
χ934-4-444-4-2-24-44-42222-2-2-441-44-222-22-2-22-1-112-22-22-222-22-211-1-1-22-21-1-11-112-21-1-11-11000000000000000000000000000000000000000000
χ944-4-444-4-2-2-44-442222-2-200100-22−2i32i32i3−2i3-22-1-11-22-22-22-2−2i32i32i3−2i3-1-1112001-1i3−i3−i3i300-11i3−i3−i3i3000000000000000000000000000000000000000000
χ954-4-444-4-2-2-44-442222-2-200100-222i3−2i3−2i32i3-22-1-11-22-22-22-22i3−2i3−2i32i3-1-1112001-1−i3i3i3−i300-11−i3i3i3−i3000000000000000000000000000000000000000000
χ964-4-44-444-24-4-44-4-422-2400-200-4400002-222-2-2-22-444-40000-2-2222002-20000002-20000000000000000000000000000000000000000000000
χ974-4-44-44-2-24-4-442222-2-2001002-2−2i32i32i3−2i32-2-1-11-2-222-2-222i3−2i3−2i32i311-1-1200-11i3−i3−i3i300-11−i3i3i3−i3000000000000000000000000000000000000000000
χ984-4-44-44-2-24-4-442222-2-2001002-22i3−2i3−2i32i32-2-1-11-2-222-2-22−2i32i32i3−2i311-1-1200-11−i3i3i3−i300-11i3−i3−i3i3000000000000000000000000000000000000000000
χ994-4-44-44-2-2-444-42222-2-24-41-442-2-22-222-2-1-1122-2-222-22-22-2-1-111-2-22-111-11-12-21-1-11-11000000000000000000000000000000000000000000
χ1004-4-44-44-2-2-444-42222-2-2-4414-42-22-22-22-2-1-1122-2-222-2-22-22-1-111-22-2-11-11-11-221-11-11-1000000000000000000000000000000000000000000
χ10188-8-8008-400008-8-444-800-40000000000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800-480000-448-8-8400-40000000000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-800-4-40000-44-444400200000000002-2-2000000000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ10488-8-800-4-40000-44-444400200000000002-2-200000000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ1058-88-8008-40000-884-44-800-400000000004-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-4800004-4-88-8400-400000000004-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-4-400004-44-4440020000000000-22-2000000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ1088-88-800-4-400004-44-4440020000000000-22-200000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000

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