Finite Group Databasebeta

← Group #72238541

Character table — Group #72238541

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222224444444444888888888888888888888888888888888888888816161616161616161616161616161616323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222444422222222222222222222224444444444444444442222444444444444244444444444888888888888888888888888
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
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111111111111111-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111111111111111-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191111111111111111-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201111111111111111-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ261111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ271111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ281111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ291111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ301111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-111-11-1-11
χ321111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1111-1-11-111-1
χ33222222222222222222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-2-200000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-222-2-2-2-2-2-22200000000000000000000000000000000000000000000
χ3522222222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-222-2-2-2-2-2-200000000000000000000000000000000000000000000
χ3622222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-22200000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-222222222-2-2-2-2-2-222-2-200000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2-2-2-2-22222-2-2-2-222222200000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2-2-222222222-2-200000000000000000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2222200000000000000000000000000000000000000000000
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χ1068-88-80000000-880008-8000000000000000000000000-444-400000000-444-40000000000000000000000000000000000000000000000000000000000
χ1078-88-80000000-88000-880000000000000000000000004-4-4400000000-444-40000000000000000000000000000000000000000000000000000000000
χ1088-88-80000000-88000-88000000000000000000000000-444-4000000004-4-440000000000000000000000000000000000000000000000000000000000
χ1098-8-88000008-8000000000008-80000004-44-400004-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88000008-8000000000008-8000000-44-440000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88000008-800000000000-880000004-44-40000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88000008-800000000000-88000000-44-4400004-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800000-880000000008-8000000004-4-4400004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800000-880000000008-800000000-444-40000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800000-88000000000-88000000004-4-440000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800000-88000000000-8800000000-444-400004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000

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