Finite Group Databasebeta

← Group #72265911

Character table — Group #72265911

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size1122222224444444444444444888888888888888888888888881616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222244444444444422222244444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-11111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-11111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ12111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ13111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-111111-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-111111-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ2011111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ2111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ2211111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ2311111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ2411111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ2511111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-111-1111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2611111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-111-1111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2711111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-11111-11-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ2811111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-11111-11-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ2911111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1111-111-1-1111-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ3011111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1111-111-1-1111-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ3111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1111-1-1-111111-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1111-1-1-111111-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
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χ35222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-222-2-22-20000222-20000-2-2-2-222220000000000000000000000000000000000000000
χ36222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-22000022-2200002222-2-2-2-20000000000000000000000000000000000000000
χ3722222222222-2-2-2-2-2-2-2-2222222-2-222-2-22222-2-2-2-2-2-22222-2-22222-2-2000022-2-20000-2-222-2-2220000000000000000000000000000000000000000
χ3822222222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22200002222000022-2-222-2-20000000000000000000000000000000000000000
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χ10444-4-4-4444-4004-44-4000000-444-400000000000000000000-44000000-2-2-2-200002222000000002-2-222-2-2200000000000000000000000000000000
χ10544-4-4-4444-400-44-440000004-4-4400000000000000000000-4400000022-2-20000-2-222000000002-2-22-222-200000000000000000000000000000000
χ10644-4-4-4444-400-44-440000004-4-4400000000000000000000-44000000-2-222000022-2-200000000-222-22-2-2200000000000000000000000000000000
χ10744-4-4-4444-400-44-44000000-444-4000000000000000000004-400000022-2-20000-2-22200000000-222-22-2-2200000000000000000000000000000000
χ10844-4-4-4444-400-44-44000000-444-4000000000000000000004-4000000-2-222000022-2-2000000002-2-22-222-200000000000000000000000000000000
χ1098888-8-88-8-8008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108888-8-88-8-800-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ111888-888-8-8-80000008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ112888-888-8-8-8000000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11332-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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