Finite Group Databasebeta

← Group #72241163

Character table — Group #72241163

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222244444444444444444444448888888888888888881616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222222222444444444444444444444444442244444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i
χ911111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1211111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-11-111-1-1111-1-11111-1-1-1-11111-1-1-1-1-111-1-11-11-11-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-11-111-1-1111-1-11111-1-1-1-11111-1-1-1-1-111-1-11-11-11-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-11-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-11-11ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-11-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-11-11−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-11-11-1111-1-111-1-1-1-111-1-1111-1-111-1-11
χ221111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-11-11-11-1-111-1-11111-1-111-1-1-111-1-111-1
χ231111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-11-111-1-111-1-1-1-111-1-111-111-1-111-1
χ241111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-11-1-1-111-1-11111-1-111-1-11-1-111-1-11
χ251111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-111111-111-1-11-1-1111111-1-1-1-1-1-1-1-11111-11-1-11-111-1-11ii−i−i−i−iiiii−i−i−i−iiii−ii−i−ii−ii
χ261111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-111111-111-1-11-1-1111111-1-1-1-1-1-1-1-11111-11-1-11-111-1-11−i−iiiii−i−i−i−iiiii−i−i−ii−iii−ii−i
χ271111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-111111-111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1ii−i−i−i−iiiii−i−i−i−iii−ii−iii−ii−i
χ281111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-111111-111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1−i−iiiii−i−i−i−iiiii−i−ii−ii−i−ii−ii
χ291111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1111111-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-11-1-111-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ301111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1111111-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-11-1-111-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ311111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-11-1-1111-1-1-1-111-1-11111-1-1-111-11-1-11
χ321111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-11-1-11-1-11111-1-111-1-1-1-1111-1-11-111-1
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χ342222222222222222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22-2-2-2-2000000000000000020000220000000000000000000000000000
χ3522222222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-20000220000000000000000000000000000
χ3622222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222222-2-2-2-222222000000000000000020000-2-20000000000000000000000000000
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χ1088-88-8000008-8000000000-444-4-444-400-88000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800000-880000000004-4-44-444-40000008-8000000000000004-44-400000000000000000000000000000000000000000000000000000000000000
χ1108-88-800000-880000000004-4-44-444-4000000-8800000000000000-44-4400000000000000000000000000000000000000000000000000000000000000
χ1118-88-800000-88000000000-444-44-4-440000008-800000000000000-44-4400000000000000000000000000000000000000000000000000000000000000
χ1128-88-800000-88000000000-444-44-4-44000000-88000000000000004-44-400000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-8-8880000-8000000000000000000000000000000004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000
χ1148-8-888-8-8880000-800000000000000000000000000000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-888-880000-8000000000000000000000000000000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-888-880000-800000000000000000000000000000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000

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