Finite Group Databasebeta

← Group #72266172

Character table — Group #72266172

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222222224444444444444444448888888888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222244444444444444442222222244444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ71111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ12111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ13111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ181111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
χ3322222222222222222222222222222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2220000-2-2-2-22200000000000000000000000000000000000000000000
χ342222222222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200002222-2-200000000000000000000000000000000000000000000
χ35222222222222222222222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-200000000000000000000000000000000000000000000
χ36222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2000022222200000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-222-2-200000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000022-2-22200000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-20000-2-2222200000000000000000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-22222000022-2-2-2-200000000000000000000000000000000000000000000
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χ1004-4-444-4-44-4000040000-4400-44-44-440000000000000000000000000000004-400000000-222-2000000-222-22-22-2-22-2200000000000000000000000000000000
χ1014-4-44-44-4-4400004004-4004-4004-4-4400000000000000000000000000004-400000000002-22-2000000-22-222-2-222-2-2200000000000000000000000000000000
χ1024-4-44-44-4-4400004004-4004-4004-4-4400000000000000000000000000004-40000000000-22-220000002-22-2-222-2-222-200000000000000000000000000000000
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χ1044-4-44-44-4-4400004004-4004-400-444-40000000000000000000000000000-440000000000-22-220000002-22-22-2-222-2-2200000000000000000000000000000000
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χ1064-4-44-44-4-440000400-4400-44004-4-440000000000000000000000000000-440000000000-222-20000002-2-22-222-22-2-2200000000000000000000000000000000
χ1074-4-44-44-4-440000400-4400-4400-444-400000000000000000000000000004-400000000002-2-22000000-222-2-222-22-2-2200000000000000000000000000000000
χ1084-4-44-44-4-440000400-4400-4400-444-400000000000000000000000000004-40000000000-222-20000002-2-222-2-22-222-200000000000000000000000000000000
χ1098-88-800000008-8000000000000000008-80000004-44-40000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800000008-8000000000000000008-8000000-44-44000000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800000008-800000000000000000-880000004-44-4000000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800000008-800000000000000000-88000000-44-440000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-80000000-880000000000000008-8000000004-4-440000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-80000000-880000000000000008-800000000-444-4000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-80000000-88000000000000000-88000000004-4-44000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-80000000-88000000000000000-8800000000-444-40000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
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χ1188-8-888-88-880000-80000-88008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).