Finite Group Databasebeta

← Group #72314384

Character table — Group #72314384

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size111111112222222222222222222222222222888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616
order1222444422222222222222444444444444442222222222222222444444444444444444444444444444444444444422224444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ11111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ191111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ201111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-111-1-111-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ211111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111
χ221111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-11-1-111-1-11111-1-111-1-111-1-111-1-1
χ231111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-111-1-1-1-111-1-11111-1-111-1-1
χ241111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-111-111-1-111-1-111-1-111-1-1-1-111-1-111
χ251111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11-11-11-11-1-11111-1-111-1-1-1-111-1-11111-1-1
χ281111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111111-11-11-11-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ291111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ301111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-111
χ311111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-11-11-11-1111-1-1-1-111-1-11111-1-111-1-1-1-111
χ321111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ332222222222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-20000000022-2-2000022-2-222-2-200000000-2-22200000000000000000000000000002-22-200000000000000000000
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χ39222222222-22-2-2-22-2-2-2222-222-2-2-2-22222-2-2-2-2-22-2200000000000000000000-22-220000000000000000000022-2-222-2-200-22002-2000000000000000000000000
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χ4122222222-22-22-2-2-22-2-222-22-2-222-2-222-2-222-2-22-2-2200000000000000000000-222-200000000000022-2-222-2-2000000002-200-2200000000000000000000000000
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χ4522222222-2-222-2-2-2-222-2-222-2-2-2-222-2-22222-2-2000022-2-2000000002-22-22-22-20000-2-2220000000000000000000000000000000000002-22-20000000000000000
χ4622222222-2-222-2-2-2-222-2-222-2-2-2-222-2-22222-2-2000022-2-200000000-22-22-22-220000-2-222000000000000000000000000000000000000-22-220000000000000000
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χ5022222222-2-2-2-222-2-22222-2-2-2-2-2-22222-2-2-2-22222-2-200000000-2-222-222-2-222-2-2-22200000000-2-222000000000000000000000000000000000000000000000000
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χ562222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-20000-2-22222-2-200000000222200000000000000000000000000002-2-2200000000000000000000
χ572222-2-2-2-22-22-2-2-22-2-2-2222-2-2-22222-2-2-2-222222-2-22000000000000000000002-2-220000000000000000000022-2-2-2-222002200-2-2000000000000000000000000
χ582222-2-2-2-22-22-2-2-22-2-2-2222-2-2-22222-2-2-2-222222-2-22000000000000000000002-2-2200000000000000000000-2-22222-2-200-2-20022000000000000000000000000
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χ682222-2-2-2-2-2-222-2-2-2-222-2-2222222-2-222-2-2-2-2220000-2-2-2-200000000-22-222-22-2000022220000000000000000000000000000000000002-2-220000000000000000
χ692222-2-2-2-2-2-2-2-222-2-22222-2-22222-2-2-2-22222-2-222220000000022-2-22-2-22-222-2-2-2-2-200000000-2-222000000000000000000000000000000000000000000000000
χ702222-2-2-2-2-2-2-2-222-2-22222-2-22222-2-2-2-22222-2-2222200000000-2-222-222-22-2-22-2-2-2-20000000022-2-2000000000000000000000000000000000000000000000000
χ712222-2-2-2-2-2-2-2-222-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-20000000022-2-2-222-22-2-22222200000000-2-222000000000000000000000000000000000000000000000000
χ722222-2-2-2-2-2-2-2-222-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-200000000-2-2222-2-22-222-222220000000022-2-2000000000000000000000000000000000000000000000000
χ732-2-2222-2-22-2-2-22-2-222-22-2222-22-22-22-22-22-22-200002-22-2000000000000000000002-22-2000000002-22-22-22-20000000000000000000000002-22-2000000000000
χ742-2-2222-2-22-2-2-22-2-222-22-2222-22-22-22-22-22-22-200002-22-2000000000000000000002-22-200000000-22-22-22-22000000000000000000000000-22-22000000000000
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χ772-2-2222-2-2-22-2-2-222-22-2-2222-22-222-2-222-22-2-2200002-2-2200000000000000000000-222-200000000000000002-22-22-22-200000000000000000000000000002-22-2
χ782-2-2222-2-2-22-2-2-222-22-2-2222-22-222-2-222-22-2-2200002-2-2200000000000000000000-222-20000000000000000-22-22-22-220000000000000000000000000000-22-22
χ792-2-2222-2-2-22-2-2-222-22-2-2222-22-222-2-222-22-2-220000-222-2000000000000000000002-2-2200000000000000002-22-22-22-20000000000000000000000000000-22-22
χ802-2-2222-2-2-22-2-2-222-22-2-2222-22-222-2-222-22-2-220000-222-2000000000000000000002-2-220000000000000000-22-22-22-2200000000000000000000000000002-22-2
χ812-2-2222-2-2-2-22-2-2222-222-2-22-222-2-222-2-222-2-22000000002-22-2000000000000000000002-22-200002-2-222-2-2200000000000000000000000000002-22-200000000
χ822-2-2222-2-2-2-22-2-2222-222-2-22-222-2-222-2-222-2-22000000002-22-2000000000000000000002-22-20000-222-2-222-20000000000000000000000000000-22-2200000000
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χ862-2-2222-2-2-2-2-222-222-22-222-2-222-2-22-222-2-222-2000000002-2-2200000000000000000000-222-2000000000000-222-2-222-2000000000000000000000000-22-220000
χ872-2-2222-2-2-2-2-222-222-22-222-2-222-2-22-222-2-222-200000000-222-2000000000000000000002-2-220000000000002-2-222-2-22000000000000000000000000-22-220000
χ882-2-2222-2-2-2-2-222-222-22-222-2-222-2-22-222-2-222-200000000-222-2000000000000000000002-2-22000000000000-222-2-222-20000000000000000000000002-22-20000
χ892-2-22-2-2222-2-2-22-2-222-22-222-22-22-22-22-22-22-2200002-2-22000000000000000000002-2-22000000002-22-2-22-220000000000000000000000002-2-22000000000000
χ902-2-22-2-2222-2-2-22-2-222-22-222-22-22-22-22-22-22-2200002-2-22000000000000000000002-2-2200000000-22-222-22-2000000000000000000000000-222-2000000000000
χ912-2-22-2-2222-2-2-22-2-222-22-222-22-22-22-22-22-22-220000-222-200000000000000000000-222-2000000002-22-2-22-22000000000000000000000000-222-2000000000000
χ922-2-22-2-2222-2-2-22-2-222-22-222-22-22-22-22-22-22-220000-222-200000000000000000000-222-200000000-22-222-22-20000000000000000000000002-2-22000000000000
χ932-2-22-2-222-22-2-2-222-22-2-22222-22-2-222-2-22-222-200002-22-200000000000000000000-22-2200000000000000002-22-2-22-2200000000000000000000000000002-2-22
χ942-2-22-2-222-22-2-2-222-22-2-22222-22-2-222-2-22-222-200002-22-200000000000000000000-22-220000000000000000-22-222-22-20000000000000000000000000000-222-2
χ952-2-22-2-222-22-2-2-222-22-2-22222-22-2-222-2-22-222-20000-22-22000000000000000000002-22-200000000000000002-22-2-22-220000000000000000000000000000-222-2
χ962-2-22-2-222-22-2-2-222-22-2-22222-22-2-222-2-22-222-20000-22-22000000000000000000002-22-20000000000000000-22-222-22-200000000000000000000000000002-2-22
χ972-2-22-2-222-2-22-2-2222-222-2-222-2-222-2-222-2-222-2000000002-2-22000000000000000000002-2-2200002-2-22-222-200000000000000000000000000002-2-2200000000
χ982-2-22-2-222-2-22-2-2222-222-2-222-2-222-2-222-2-222-2000000002-2-22000000000000000000002-2-220000-222-22-2-220000000000000000000000000000-222-200000000
χ992-2-22-2-222-2-22-2-2222-222-2-222-2-222-2-222-2-222-200000000-222-200000000000000000000-222-200002-2-22-222-20000000000000000000000000000-222-200000000
χ1002-2-22-2-222-2-22-2-2222-222-2-222-2-222-2-222-2-222-200000000-222-200000000000000000000-222-20000-222-22-2-2200000000000000000000000000002-2-2200000000
χ1012-2-22-2-222-2-2-222-222-22-222-22-2-222-22-2-222-2-22000000002-22-200000000000000000000-22-220000000000002-2-22-222-20000000000000000000000002-2-220000
χ1022-2-22-2-222-2-2-222-222-22-222-22-2-222-22-2-222-2-22000000002-22-200000000000000000000-22-22000000000000-222-22-2-22000000000000000000000000-222-20000
χ1032-2-22-2-222-2-2-222-222-22-222-22-2-222-22-2-222-2-2200000000-22-22000000000000000000002-22-20000000000002-2-22-222-2000000000000000000000000-222-20000
χ1042-2-22-2-222-2-2-222-222-22-222-22-2-222-22-2-222-2-2200000000-22-22000000000000000000002-22-2000000000000-222-22-2-220000000000000000000000002-2-220000
χ105444444444-4-44444-4-4-4-4-4-4444-4-4-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644444444-444-444-44-4-4-4-44-4-4-444-4-4-4-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074444-4-4-4-44-4-44444-4-4-4-4-4-44-4-444444444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084444-4-4-4-4-444-444-44-4-4-4-44-444-4-44444-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-4444-4-4444-44-4-4-4-44-44-444-4-44-44-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-4444-4-444-44-44-4-4-444-44-44-4-44-444-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-4444-4-44-444-44-444-4-44-4-44-44-44-4-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-4444-4-4-44444-44-44-44-4-4-4-44-444-44-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-4-444444-44-4-4-4-44-44-44-444-44-44-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-4-44444-44-44-4-4-444-44-4-444-44-4-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44-4-4444-444-44-444-4-44-4-4-44-44-444-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44-4-444-44444-44-44-44-4-4-44-44-4-44-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-88i−8i8i−8i0000000000000000000000000000000000000000004-400000000000000000000004i−4i000000000000000000000000000000000000000000000000
χ11888-8-88i−8i8i−8i000000000000000000000000000000000000000000-440000000000000000000000−4i4i000000000000000000000000000000000000000000000000
χ11988-8-8−8i8i−8i8i0000000000000000000000000000000000000000004-40000000000000000000000−4i4i000000000000000000000000000000000000000000000000
χ12088-8-8−8i8i−8i8i000000000000000000000000000000000000000000-4400000000000000000000004i−4i000000000000000000000000000000000000000000000000
χ1218-88-88i−8i−8i8i00000000000000000000000000000000000000004-400000000000000000000004i−4i00000000000000000000000000000000000000000000000000
χ1228-88-88i−8i−8i8i0000000000000000000000000000000000000000-440000000000000000000000−4i4i00000000000000000000000000000000000000000000000000
χ1238-88-8−8i8i8i−8i00000000000000000000000000000000000000004-40000000000000000000000−4i4i00000000000000000000000000000000000000000000000000
χ1248-88-8−8i8i8i−8i0000000000000000000000000000000000000000-4400000000000000000000004i−4i00000000000000000000000000000000000000000000000000

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