Finite Group Databasebeta

← Group #72270230

Character table — Group #72270230

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222444444444444444444444444444444444444444444444488888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616164848484848484848969696969696969696969696
order12222222223666222222222222444466666666666666666666661212121212121212222244666622224444444444444444444466666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i
χ101111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii
χ111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−iii−i−i−i−iii−i−iii
χ121111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ131111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ141111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ151111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ161111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ17222222222222222222-2-2-2-22222-2-2-2-222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-22-22-2-2-22222002-20000002-2000022-2-2000022-2-2000022-2-200000000-2-2000022-2-2000000002222-2-2-2-20000000000000000000000000000
χ18222222222222222222-2-2-2-22222-2-2-2-222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-22-22-2-2-2222200-22000000-220000-2-222000022-2-20000-2-22200000000-2-20000-2-22200000000-2-2-2-222220000000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-22-2222-2-2-2-2002-20000002-20000-2-2220000-2-222000022-2-20000000022000022-2-200000000-2-2-2-222220000000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-22-2222-2-2-2-200-22000000-22000022-2-20000-2-2220000-2-22200000000220000-2-222000000002222-2-2-2-20000000000000000000000000000
χ2122222222222222-2-2-2-222222222-2-2-2-2222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-22-22-2-222222-20000002-20022-2-200000000-2-22222-2-2000000000000-2-222-2-200002222-2-2-2-2000000000000000000000000000000000000
χ2222222222222222-2-2-2-222222222-2-2-2-2222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-22-22-2-22222-22000000-2200-2-22200000000-2-222-2-222000000000000-2-2-2-2220000-2-2-2-22222000000000000000000000000000000000000
χ2322222222222222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-22-22-222-2-2-2-22-20000002-200-2-2220000000022-2-222-2-20000000000002222-2-20000-2-2-2-22222000000000000000000000000000000000000
χ2422222222222222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-22-22-222-2-2-2-2-22000000-220022-2-20000000022-2-2-2-22200000000000022-2-22200002222-2-2-2-2000000000000000000000000000000000000
χ2522222222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222-2-2-2-2222222000022-2-200000000000022-2-2-2-2-2-2000000002222-2-2-2-2220000000000000000000000002222-2-2-2-200000000000000000000
χ2622222222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222-2-2-2-22222220000-2-222000000000000-2-222-2-2-2-200000000-2-2-2-2222222000000000000000000000000-2-2-2-2222200000000000000000000
χ2722222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2000022-2-2000000000000-2-2222222000000002222-2-2-2-2-2-2000000000000000000000000-2-2-2-2222200000000000000000000
χ2822222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-20000-2-22200000000000022-2-2222200000000-2-2-2-22222-2-20000000000000000000000002222-2-2-2-200000000000000000000
χ292222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ302222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111100000000000000000000
χ312222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-222-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000
χ322222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-100000000000000000000
χ332222222222-1-1-1-122222222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111222222222222-2-2-2-2-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000
χ342222222222-1-1-1-122222222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111122-2-2-2-2-2-222-2-2-2-2-2-2222222221111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ352222222222-1-1-1-122222222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-222-2-2-2-2-2-2222222-2-2-2-2222211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000
χ362222222222-1-1-1-122222222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-22222-2-2-2-222222222-2-2-2-2111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000
χ372222222222-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111112-22-2-2-2-1-1-1-1002-20000002-2000022-2-20000-1-111−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i311−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i3-1-1-1-11111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ382222222222-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111112-22-2-2-2-1-1-1-1002-20000002-2000022-2-20000-1-111i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i311i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i3-1-1-1-11111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ392222222222-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111112-22-2-2-2-1-1-1-100-22000000-220000-2-2220000-1-111−i3i3−i3i311-1-1i3i3−i3−i3i3i3−i3−i311−i3i3−i3i311-1-1−i3−i3i3i3−i3−i3i3i31111-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
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χ412222222222-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-22-22221111002-20000002-20000-2-222000011-1-1−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i3-1-1−i3i3−i3i3-1-111i3i3−i3−i3i3i3−i3−i31111-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ422222222222-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-22-22221111002-20000002-20000-2-222000011-1-1i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i3-1-1i3−i3i3−i3-1-111−i3−i3i3i3−i3−i3i3i31111-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ432222222222-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-22-2222111100-22000000-22000022-2-2000011-1-1−i3i3−i3i311-1-1i3i3−i3−i3i3i3−i3−i3-1-1−i3i3−i3i311-1-1i3i3−i3−i3i3i3−i3−i3-1-1-1-11111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ442222222222-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-22-2222111100-22000000-22000022-2-2000011-1-1i3−i3i3−i311-1-1−i3−i3i3i3−i3−i3i3i3-1-1i3−i3i3−i311-1-1−i3−i3i3i3−i3−i3i3i3-1-1-1-11111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ452222222222-1-1-1-1-2-2-2-222222222-2-2-2-2-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-22-22-2-2-1-1-1-12-20000002-20022-2-20000000011-1-1-1-111−i3i3−i3i3−i3−i3i3i3i3i3−i3−i311-1-111−i3i3−i3i3-1-1-1-11111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ462222222222-1-1-1-1-2-2-2-222222222-2-2-2-2-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-22-22-2-2-1-1-1-12-20000002-20022-2-20000000011-1-1-1-111i3−i3i3−i3i3i3−i3−i3−i3−i3i3i311-1-111i3−i3i3−i3-1-1-1-11111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ472222222222-1-1-1-1-2-2-2-222222222-2-2-2-2-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-22-22-2-2-1-1-1-1-22000000-2200-2-2220000000011-1-111-1-1−i3i3−i3i3i3i3−i3−i3−i3−i3i3i31111-1-1−i3i3−i3i31111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
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Here i is the imaginary unit (i² = −1).