Finite Group Databasebeta

← Group #72270494

Character table — Group #72270494

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222444444444444444444888888888888888888888888888888881616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232484848484848484848484848484848489696969696969696
order1222222222366622222222222266666622224444666666666666666666661212121222444444666612121212121212121212121212124444444412121212121212121212121212121212224444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-1iiii−i−i−i−i11-1-1ii−i−i
χ101111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111−i−i−i−iiiii-1-111−i−iii
χ111111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-1−i−i−i−iiiii11-1-1−i−iii
χ121111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111iiii−i−i−i−i-1-111ii−i−i
χ131111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-11-111-1-1−i−i−i−iiiii-1-111ii−i−i
χ141111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11-11-1-111iiii−i−i−i−i11-1-1−i−iii
χ151111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-1iiii−i−i−i−i-1-111−i−iii
χ161111111111111111-1-1-1-1-111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-111−i−i−i−iiiii11-1-1ii−i−i
χ172222222222222222222-2-222-2-22222222-2-222-2-2-2-22222-2-2-2-2222222-2-222-2-2-2-2-2-2000000000000-2-20000000000000000000000000000000000002-22-2-2-2220000000000000000
χ182222222222222222222-2-222-2-22222222-2-222-2-2-2-22222-2-2-2-2222222-2-222-2-2-2-2-2-2000000000000-2-2000000000000000000000000000000000000-22-2222-2-20000000000000000
χ192222222222222222-2-2-2222222-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2000000000000220000000000000000000000000000000000002222-2-2-2-20000000000000000
χ202222222222222222-2-2-2222222-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-200000000000022000000000000000000000000000000000000-2-2-2-222220000000000000000
χ2122222222222222-2-222222-2-222222222222-2-2-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-2000000000000-2-2000000000000000000000000000000000000000000000000000000002-22-2
χ2222222222222222-2-222222-2-222222222222-2-2-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-2000000000000-2-200000000000000000000000000000000000000000000000000000000-22-22
χ2322222222222222-2-2222-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000220000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ2422222222222222-2-2222-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000022000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ2522222222222222-2-2-2-2-222-2-222-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000-2-20000000000002-2-22000022-2-2-2-22200000000000000000000000000000000
χ2622222222222222-2-2-2-2-222-2-222-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000-2-2000000000000-222-20000-2-22222-2-200000000000000000000000000000000
χ2722222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-200000000000022000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ2822222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-20000000000002200000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ292222222222-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ302222222222-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ312222222222-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-11111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ322222222222-1-1-1-1222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ332222222222-1-1-1-122-2-2-2-2-222-2-2-2-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-12222-2-2-2-2-1-1-1-111-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ342222222222-1-1-1-122-2-2-2-2-222-2-2-2-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-12222-2-2-2-2-1-1-1-111-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ352222222222-1-1-1-122-2-2-2-2-222-2-2-2-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-1-2-2-2-222221111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ362222222222-1-1-1-122-2-2-2-2-222-2-2-2-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-1-2-2-2-222221111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
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χ392222222222-1-1-1-1-2-2222-2-2-2-2-2-22-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3-1-1i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32i−2i2i−2i0000−i−iii−i−iii−3−333−3−333000000000000000000000000
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χ422222222222-1-1-1-1-2-2-2-2-222-2-222-2-1-1-1-1-1-1-2-22222-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000−i3−i3i3i311−i3−i3i3i3i3i3i3i3−i3−i3−i3−i3-222-2000011-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000
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χ512-2-222-2-2-2222-2-2222-2-22-2-2-2-222222-2-2-222-2-222-2-2222-2-222-2-2-2-222-2-22222-2-222-2-2000000000000-220000000000000000000000000000000000000000000022-2-2-2-22200000000
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χ572-2-222-2-2-2222-2-22-2-2-2-222222-2-2222-2-2-22-222-22-2-22-2-222-2-222-2-22222-2-2-2-22222-2-2000000000000-2200000000000000000000000000000000000000000000000000002-2-220000
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χ602-2-222-2-2-2222-2-22-2-2-2-22-2-22222222-2-2-222-22-2-222-2-2-22222-2-2-2-2222222-2-2-2-2-2-222-22-2222-2-2-22-222-2-22-2222-2-222-2-2000000000000000000000000000000000000000000000000
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χ642-2-222-2-2-222-111-12222-2-2-2-2-222-2-1-1111-1-222-2-22-22-1-11111-1-1-1-111-1-1-1-1111111-1-100000000i3−i3−i3i31-1i3−i3−i3i3i3i3−i3−i3−i3−i3i3i30000−2i2i−2i2i3−33−33−33−3i−ii−ii−ii−i000000000000000000000000
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Here i is the imaginary unit (i² = −1).