Finite Group Databasebeta

← Group #72271748

Character table — Group #72271748

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222444444444444444444444444888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616162424242424242424323232323232323232323232323232323232484848484848484896969696969696969696
order122222222234444666222222444466666666661212121222244444666666121212121212121212122244444444446666661212121212121212121212121212121212121212121222224444448888121212122424242424242424224444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1
χ911111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-1111-11-11-11-111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-111-1-11-111-1-111-1-1
χ1011111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-1111-11-11-11-111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-1-111-1-111
χ1111111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-1111-11-11-11-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-11111-1-1-1111-1-1-1-111
χ1211111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-1111-11-11-11-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-1-1-1111111-1-1-1-1111-1-1-11111-1-1
χ1311111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-111-11-11-11-1111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-111-1-11-1-1-111-1-111
χ1411111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-111-11-11-11-1111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1111-1-111-1-1
χ1511111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-111-11-11-11-11-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-1-11111-1-1
χ1611111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-111-11-11-11-11-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-1111111-1-1-1-111-1-1-1-1111-111-1-1-1-111
χ1722222222222222222222-2-2-2-222-2-222222222222222-2-222-2-2-22-2-2-2-2222222-2-2-2-222000000002222-2-2000000000000-2-200002222222200000000-2-20000-2-2-2-200000000000000000000000000
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χ19222222222222222222-2-222-2-22222222-2-2-2-222222222-2-2-22-2-2-222-2-2-2-2-2-22222-2-2-2-20000000000002-20000000000002-2000000000000222222220000000000000000000000-2-2-2-20000000000
χ20222222222222222222-2-222-2-22222222-2-2-2-222222222-2-2-22-2-2-222-2-2-2-2-2-22222-2-2-2-20000000000002-20000000000002-2000000000000-2-2-2-2-2-2-2-2000000000000000000000022220000000000
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χ2322222222222-2-2-2-22222222-2-2-2-2-2-22222222222-2-2-2-22-22-2-222-222-2-222-2-2-2-2-2-222-2-20000000000002-2000000000000-220000000000002222-2-2-2-20000000000000000000000-2-2220000000000
χ2422222222222-2-2-2-22222222-2-2-2-2-2-22222222222-2-2-2-22-22-2-222-222-2-222-2-2-2-2-2-222-2-20000000000002-2000000000000-22000000000000-2-2-2-22222000000000000000000000022-2-20000000000
χ2522222222222-2-2-2-222222-2-222-2-2222222222222-2-2-2-2-222-22-2-2-2-2-22222-2-2-2-222-2-2-2-2000000000000-220000000000002-20000000000000000000000000000000000000022-2-20000-2200000000
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χ2722222222222-2-2-2-2222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-2-2-2-2-2-222222-2-2-2-2-2-222-2-22222220000000022-2-2-2-20000000000002200002222-2-2-2-200000000-220000-2-22200000000000000000000000000
χ2822222222222-2-2-2-2222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-2-2-2-2-2-222222-2-2-2-2-2-222-2-222222200000000-2-222-2-2000000000000220000-2-2-2-22222000000002-2000022-2-200000000000000000000000000
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χ352222222222-12222-1-1-122-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-221111-1-1-1-1-1-11111-1-100000000-2-2-2-211−i3i3−i3i3−i3−i3i3i3−i3−i3i3i311−i3i3−i3i31111111100000000220000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
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χ372222222222-1-2-2-2-2-1-1-1-2-22222-2-2-2-2-1-1-11111-1-1-1111122-22-2-2-22-1-1-1-111-1-1111111-1-12-22-22-22-222-2-2-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111000000002-222-2-2-1-111-1-1-1-11111000000000000000000
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χ392222222222-1-2-2-2-2-1-1-1-2-22222-2-2-2-2-1-1-11111-1-1-1111122-22-2-2-22-1-1-1-111-1-1111111-1-1-22-22-22-2222-2-2-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111000000002-2-2-222-1-1111111-1-1-1-1000000000000000000
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χ442222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-2-2-222-1-1-11111-1-1-11111-2-2-222222111111-1-111-1-1-1-1-1-100000000-2-22211i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3-1-1i3−i3−i3i31111-1-1-1-1000000002-20000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000
χ452222-2-2-2-222222-2-22222222222-22222-22222-2-2-222-2-2-2-2-22-22-2-22222-2-2222-22222-2-222-2-2-2-2220000-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000
χ462222-2-2-2-222222-2-22222222222-22222-22222-2-2-222-2-2-2-2-22-22-2-22222-2-2222-22222-2-2-2-22222-2-20000-2-2-2-2-2-222222222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ472222-2-2-2-222222-2-222222-2-2-2-22-2-2-222-22222-2-2-222-2-222-222-22-2-2-2-2-2-2-2222-2-2-2-2-2-2-2000000000000220000000000002200000000000000000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000000000000000
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χ532222-2-2-2-2222-2-2222222222-2-2-22-2-222-22222-2-2-2-2-222-22-2-222-2222-2-2-2-2-2-2-22-2-22222000000000000-220000000000002-20000000000000000000000000000000000000000000000002-2-220000
χ542222-2-2-2-2222-2-2222222222-2-2-22-2-222-22222-2-2-2-2-222-22-2-222-2222-2-2-2-2-2-2-22-2-22222000000000000-220000000000002-2000000000000000000000000000000000000000000000000-222-20000
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χ562222-2-2-2-2222-2-22222222-2-222-222222-22222-2-2-2-2-2222-2-2-2-2-222-2-222-2-2-2-2-2222-2-2220000000000002-2000000000000-220000000000000000000000000000000000000000000000000000-222-2
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χ592222-2-2-2-2222-2-222222-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2-2-2-2-22222-222222-2-200000000000022000000000000-2-200000000000000000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i000000000000000000
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χ1468-8-880000-88-4000044-48-800-8800-88-440-44-44000000000000000004-40000004-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-8-880000-88-4000044-4-88008-800-88-4404-44-400000000000000000-440000004-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8-880000-88-4000044-4-8800-88008-8-4404-44-4000000000000000004-4000000-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14916-1616-161600-1600-800008-88000000000000-800000080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15016-1616-16-16001600-800008-880000000000008000000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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