Finite Group Databasebeta

← Group #72262283

Character table — Group #72262283

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11222222244444444444444444488888888888888888161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222224444444422222222222224444222222224444444444444444448888888844444444444488888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111-111111-111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i11-1-1ii−i−i
χ1011111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111111-111111-111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii11-1-1−i−iii
χ1111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-111111-11-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111iiii−i−i−i−i−i−iiiii−i−i−i−iii-1-111−i−iii
χ1211111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-111111-11-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111−i−i−i−iiiiiii−i−i−i−iiiii−i−i-1-111ii−i−i
χ1311111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11-111-1-111111111iiii−i−i−i−i11-1-1−i−i−i−iiiiiii−i−iii−i−iii−i−i-1-111−i−iii
χ1411111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11-111-1-111111111−i−i−i−iiiii11-1-1iiii−i−i−i−i−i−iii−i−iii−i−iii-1-111ii−i−i
χ1511111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-11111111111iiii−i−i−i−i-1-111−i−i−i−iiiii−i−iiiii−i−i−i−iii11-1-1ii−i−i
χ1611111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-11111111111−i−i−i−iiiii-1-111iiii−i−i−i−iii−i−i−i−iiiii−i−i11-1-1−i−iii
χ17111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-111111111-1-11-111-1-11-1-1-1111111-1-1-1-1iiii−i−i−i−i1-11-1ii−i−iii−i−i−i−iii−i−iiiii−i−i1-11-1i−ii−i
χ18111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-111111111-1-11-111-1-11-1-1-1111111-1-1-1-1−i−i−i−iiiii1-11-1−i−iii−i−iiiii−i−iii−i−i−i−iii1-11-1−ii−ii
χ19111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-111111111-1-1-1111-1-1-1111-1-11111-1-1-1-1iiii−i−i−i−i-11-11ii−i−iii−i−iii−i−i−i−iii−i−iii-11-11−ii−ii
χ20111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-111111111-1-1-1111-1-1-1111-1-11111-1-1-1-1−i−i−i−iiiii-11-11−i−iii−i−iii−i−iiiii−i−iii−i−i-11-11i−ii−i
χ21111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1111111-1-1111-1-1-1111-1-1-111-1-1-1-11111iiii−i−i−i−i1-11-1−i−iii−i−iii−i−iii−i−iiiii−i−i-11-11−ii−ii
χ22111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1111111-1-1111-1-1-1111-1-1-111-1-1-1-11111−i−i−i−iiiii1-11-1ii−i−iii−i−iii−i−iii−i−i−i−iii-11-11i−ii−i
χ23111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1111111-1-111-11-1-111-1111-1-1-1-1-1-11111iiii−i−i−i−i-11-11−i−iii−i−iiiii−i−i−i−iii−i−iii1-11-1i−ii−i
χ24111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1111111-1-111-11-1-111-1111-1-1-1-1-1-11111−i−i−i−iiiii-11-11ii−i−iii−i−i−i−iiiii−i−iii−i−i1-11-1−ii−ii
χ25111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-11
χ26111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11111-1-111111111-1-1-1-11-1-11-111-1
χ27111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1
χ28111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-111-11-1-11
χ29111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1
χ30111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111111111-1-1-1-1-111-11-1-11
χ31111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111111111-111-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-111-1-11
χ32111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1111111111-1-11-111-1
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χ10688-8888-8-8-80000-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10716-1600000008-88-800008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10816-1600000008-8-880000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-160000000-888-80000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-160000000-88-8800008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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