Finite Group Databasebeta

← Group #72225891

Character table — Group #72225891

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222444444444444444488888888888888888888881616161616161616161616161616161616161616161616161616161616161616323232323232323264646464646464646464646464646464
order12222222222222222222222222222222224444444444444424444444444444444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i
χ61111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii
χ71111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii
χ81111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i
χ9111111111111111111-1-1-1-1-1-1-1-111-1-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ10111111111111111111-1-1-1-1-1-1-1-111-1-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ11111111111111111111-1-1-1-1-1-1-1-111-1-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii
χ12111111111111111111-1-1-1-1-1-1-1-111-1-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iii−i−i−i−iii11-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1
χ171111-1-1-1-111111111-1-11111-1-1-1-1-1-111-111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i
χ181111-1-1-1-111111111-1-11111-1-1-1-1-1-111-111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii
χ191111-1-1-1-111111111-1-11111-1-1-1-1-1-111-111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii
χ201111-1-1-1-111111111-1-11111-1-1-1-1-1-111-111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i
χ211111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiii−i−iii−i−ii-11-111-11-1
χ221111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−iii−i−iii−i1-11-1-11-11
χ231111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−ii−i−iii−i−ii1-11-1-11-11
χ241111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−iii−i−iii−i-11-111-11-1
χ251111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1-11-111-1-111-1-11
χ261111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-11-1-111-1-111-1
χ271111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-11-1-11-11-111-1-111-1
χ281111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11-111-11-11-1-111-1-11
χ291111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ301111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ311111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ321111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
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χ36222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000
χ372222-2-2-2-222222222-2-22222-2-2-2-2-2-222-222-2-2-2-2-22222222222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ382222-2-2-2-222222222-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-222-2-22222-2-20000000000000000000000000000000000000000
χ392222-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ402222-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-22-2-22-2-2-2-22222-2-2222222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
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χ918-88-8008-80000000000-44-44-44-44000000000000000000000000000000000000002-22-22-22-2-22-22-22-22000000000000000000000000
χ928-88-8008-80000000000-44-44-44-4400000000000000000000000000000000000000-22-22-22-222-22-22-22-2000000000000000000000000
χ938-88-800-8800000000004-44-4-44-44000000000000000000000000000000000000002-22-2-22-222-22-2-22-22000000000000000000000000
χ948-88-800-8800000000004-44-4-44-4400000000000000000000000000000000000000-22-222-22-2-22-222-22-2000000000000000000000000
χ958-88-800-880000000000-44-444-44-4000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ968-88-800-880000000000-44-444-44-400000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ978-8-888-80000000000004-4-444-4-44000000000000000000000000000000000000002-2-22-222-22-2-22-222-2000000000000000000000000
χ988-8-888-80000000000004-4-444-4-4400000000000000000000000000000000000000-222-22-2-22-222-22-2-22000000000000000000000000
χ998-8-888-8000000000000-444-4-444-4000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ1008-8-888-8000000000000-444-4-444-400000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ1018-8-88-880000000000004-4-44-444-4000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ1028-8-88-880000000000004-4-44-444-400000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ1038-8-88-88000000000000-444-44-4-44000000000000000000000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000
χ1048-8-88-88000000000000-444-44-4-4400000000000000000000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000

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