Finite Group Databasebeta

← Group #72303704

Character table — Group #72303704

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size11112222222222222244444444888888888888888888888888888816161616161616161616161616161111222222222222224444444488888888888888888888888888881616161616161616161616161616
order1222222222222222222222444422224444444444444444444444444444444444444422222222222222222222224444222244444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ11111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111
χ12111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111
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χ7011111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-111
χ711111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ721111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-111-1-1
χ7311111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ7411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ7611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ77111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111
χ78111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ79111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1
χ80111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ82111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111
χ83111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ84111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1
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χ8622222222-2-2-2-222-2-2-2-200000000002200-2-20000−2i−2i2i2i00000000−2i−2i2i2i00000000000000-2-2-2-2-2-2-2-22222-2-222220000000000-2-2002200002i2i−2i−2i000000002i2i−2i−2i00000000000000
χ8722222222-2-2-2-222-2-2-2-20000000000-2-2002200002i2i−2i−2i00000000−2i−2i2i2i00000000000000-2-2-2-2-2-2-2-22222-2-2222200000000002200-2-20000−2i−2i2i2i000000002i2i−2i−2i00000000000000
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χ90222222-2-222-2-2-2-222-2-2000000002200-2-20000000000−2i−2i2i2i0000−2i2i−2i2i00000000000000-2-2-2-2-2-222-2-22222-2-22200000000-2-2002200000000002i2i−2i−2i00002i−2i2i−2i00000000000000
χ91222222-2-222-2-2-2-222-2-200000000-2-2002200000000002i2i−2i−2i0000−2i2i−2i2i00000000000000-2-2-2-2-2-222-2-22222-2-222000000002200-2-20000000000−2i−2i2i2i00002i−2i2i−2i00000000000000
χ92222222-2-222-2-2-2-222-2-200000000-2-200220000000000−2i−2i2i2i00002i−2i2i−2i00000000000000-2-2-2-2-2-222-2-22222-2-222000000002200-2-200000000002i2i−2i−2i0000−2i2i−2i2i00000000000000
χ93222222-2-2-2-222-2-2-2-2222222-2-2-2-20000000000000000000022-2-22-2-2200000000000000-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2222200000000000000000000-2-222-222-200000000000000
χ94222222-2-2-2-222-2-2-2-2222222-2-2-2-200000000000000000000-2-222-222-200000000000000-2-2-2-2-2-22222-2-22222-2-2-2-2-2-222220000000000000000000022-2-22-2-2200000000000000
χ95222222-2-2-2-222-2-2-2-222-2-2-2-222220000000000000000000022-2-2-222-200000000000000-2-2-2-2-2-22222-2-22222-2-22222-2-2-2-200000000000000000000-2-2222-2-2200000000000000
χ96222222-2-2-2-222-2-2-2-222-2-2-2-2222200000000000000000000-2-2222-2-2200000000000000-2-2-2-2-2-22222-2-22222-2-22222-2-2-2-20000000000000000000022-2-2-222-200000000000000
χ972222-2-22-22-22-22-22-2-2222-2-222-2-200000000000000000000000000002-200000000002-2-2-2-2-222-22-22-22-22-222-2-2-222-2-2220000000000000000000000000000-220000000000-22
χ982222-2-22-22-22-22-22-2-2222-2-222-2-20000000000000000000000000000-220000000000-22-2-2-2-222-22-22-22-22-222-2-2-222-2-22200000000000000000000000000002-200000000002-2
χ992222-2-22-22-22-22-22-2-22-2-222-2-22200000000000000000000000000002-20000000000-22-2-2-2-222-22-22-22-22-222-222-2-222-2-20000000000000000000000000000-2200000000002-2
χ1002222-2-22-22-22-22-22-2-22-2-222-2-2220000000000000000000000000000-2200000000002-2-2-2-2-222-22-22-22-22-222-222-2-222-2-200000000000000000000000000002-20000000000-22
χ1012222-2-2-22-222-2-22-22-2222-2-2-2-2220000000022-2-2000000000000000000000000002-200-2-2-2-2222-22-2-222-22-22-2-2-22222-2-200000000-2-22200000000000000000000000000-2200
χ1022222-2-2-22-222-2-22-22-2222-2-2-2-22200000000-2-22200000000000000000000000000-2200-2-2-2-2222-22-2-222-22-22-2-2-22222-2-20000000022-2-2000000000000000000000000002-200
χ1032222-2-2-22-222-2-22-22-22-2-22222-2-20000000022-2-200000000000000000000000000-2200-2-2-2-2222-22-2-222-22-22-222-2-2-2-22200000000-2-222000000000000000000000000002-200
χ1042222-2-2-22-222-2-22-22-22-2-22222-2-200000000-2-222000000000000000000000000002-200-2-2-2-2222-22-2-222-22-22-222-2-2-2-2220000000022-2-200000000000000000000000000-2200
χ1052-22-22-2222222-2-2-2-2-2-22-22-22-22-22-22-22-22-20000000000000000000000000000000000-22-22-22-2-2-2-2-2-2222222-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ1062-22-22-2222222-2-2-2-2-2-22-22-22-22-2-22-22-22-220000000000000000000000000000000000-22-22-22-2-2-2-2-2-2222222-22-22-22-222-22-22-22-20000000000000000000000000000000000
χ1072-22-22-2222222-2-2-2-2-2-2-22-22-22-222-2-222-2-220000000000000000000000000000000000-22-22-22-2-2-2-2-2-22222222-22-22-22-2-222-2-222-20000000000000000000000000000000000
χ1082-22-22-2222222-2-2-2-2-2-2-22-22-22-22-222-2-222-20000000000000000000000000000000000-22-22-22-2-2-2-2-2-22222222-22-22-22-22-2-222-2-220000000000000000000000000000000000
χ1092-22-22-222-2-2-2-2-2-2222200000000002-200-22000000002-22-22-22-2000000000000000000-22-22-22-2-2222222-2-2-2-20000000000-22002-200000000-22-22-22-22000000000000000000
χ1102-22-22-222-2-2-2-2-2-2222200000000002-200-2200000000-22-22-22-22000000000000000000-22-22-22-2-2222222-2-2-2-20000000000-22002-2000000002-22-22-22-2000000000000000000
χ1112-22-22-222-2-2-2-2-2-222220000000000-22002-2000000002-22-2-22-22000000000000000000-22-22-22-2-2222222-2-2-2-200000000002-200-2200000000-22-222-22-2000000000000000000
χ1122-22-22-222-2-2-2-2-2-222220000000000-22002-200000000-22-222-22-2000000000000000000-22-22-22-2-2222222-2-2-2-200000000002-200-22000000002-22-2-22-22000000000000000000
χ1132-22-22-2-2-222-2-222-2-222000000002-200-220000002-22-200002-2-22000000000000000000-22-22-2222-2-222-2-222-2-200000000-22002-2000000-22-220000-222-2000000000000000000
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χ1172-22-22-2-2-2-2-2222222-2-22-22-2-22-220000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000-22-22-222222-2-2-2-2-2-222-22-222-22-2000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ1182-22-22-2-2-2-2-2222222-2-22-22-2-22-22000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000-22-22-222222-2-2-2-2-2-222-22-222-22-20000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ1192-22-22-2-2-2-2-2222222-2-2-22-222-22-20000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000-22-22-222222-2-2-2-2-2-2222-22-2-22-22000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ1202-22-22-2-2-2-2-2222222-2-2-22-222-22-2000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000-22-22-222222-2-2-2-2-2-2222-22-2-22-220000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ1212-22-2-222-22-22-2-22-222-22-2-222-2-2200000000000000000000000000000000002i−2i2i−2i0000-22-222-2-22-22-222-22-2-22-222-2-222-20000000000000000000000000000000000−2i2i−2i2i0000
χ1222-22-2-222-22-22-2-22-222-22-2-222-2-220000000000000000000000000000000000−2i2i−2i2i0000-22-222-2-22-22-222-22-2-22-222-2-222-200000000000000000000000000000000002i−2i2i−2i0000
χ1232-22-2-222-22-22-2-22-222-2-222-2-222-200000000000000000000000000000000002i−2i−2i2i0000-22-222-2-22-22-222-22-2-222-2-222-2-220000000000000000000000000000000000−2i2i2i−2i0000
χ1242-22-2-222-22-22-2-22-222-2-222-2-222-20000000000000000000000000000000000−2i2i2i−2i0000-22-222-2-22-22-222-22-2-222-2-222-2-2200000000000000000000000000000000002i−2i−2i2i0000
χ1252-22-2-22-22-222-22-22-22-22-2-22-222-20000000000000000000000000000002i−2i2i−2i00000000-22-222-22-22-2-22-22-22-22-222-22-2-22000000000000000000000000000000−2i2i−2i2i00000000
χ1262-22-2-22-22-222-22-22-22-22-2-22-222-2000000000000000000000000000000−2i2i−2i2i00000000-22-222-22-22-2-22-22-22-22-222-22-2-220000000000000000000000000000002i−2i2i−2i00000000
χ1272-22-2-22-22-222-22-22-22-2-222-22-2-220000000000000000000000000000002i−2i−2i2i00000000-22-222-22-22-2-22-22-22-222-2-22-222-2000000000000000000000000000000−2i2i2i−2i00000000
χ1282-22-2-22-22-222-22-22-22-2-222-22-2-22000000000000000000000000000000−2i2i2i−2i00000000-22-222-22-22-2-22-22-22-222-2-22-222-20000000000000000000000000000002i−2i−2i2i00000000
χ1294444-4-44-4-44-444-4-444-400000000000000000000000000000000000000000000000000-4-4-4-444-444-44-4-444-4-4400000000000000000000000000000000000000000000000000
χ1304444-4-4-444-4-44-444-44-400000000000000000000000000000000000000000000000000-4-4-4-4444-4-444-44-4-44-4400000000000000000000000000000000000000000000000000
χ1314-44-4-444-4-44-44-444-4-4400000000000000000000000000000000000000000000000000-44-444-4-444-44-44-4-444-400000000000000000000000000000000000000000000000000
χ1324-44-4-44-444-4-444-4-44-4400000000000000000000000000000000000000000000000000-44-444-44-4-444-4-444-44-400000000000000000000000000000000000000000000000000
χ13388-8-8000000000000000000000000000000004i−4i000000000000000000000000000000-8-88800000000000000000000000000000000−4i4i000000000000000000000000000000
χ13488-8-800000000000000000000000000000000−4i4i000000000000000000000000000000-8-888000000000000000000000000000000004i−4i000000000000000000000000000000
χ1358-8-880000000000000000000000000000004-400000000000000000000000000000000-888-8000000000000000000000000000000-4400000000000000000000000000000000
χ1368-8-88000000000000000000000000000000-4400000000000000000000000000000000-888-80000000000000000000000000000004-400000000000000000000000000000000

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