Finite Group Databasebeta

← Group #72314779

Character table — Group #72314779

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11112222224444444488888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232646464646464
order12222222222222222222222222222222222244444444222222444444444444444444444444444444444444444444444488888888444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ91111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ101111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ121111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111
χ131111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1
χ171-1-111-1-11-111-1-1111-1-111-1-111-1-111-1-111-1-11-11111-1-1-1-11-11-11-1ii−i−i1-111-1-111-1-111-1-1iiii−i−i−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-1i−ii−i
χ181-1-111-1-11-111-1-1111-1-111-1-111-1-111-1-111-1-11-11111-1-1-1-11-11-11-1−i−iii1-111-1-111-1-111-1-1−i−i−i−iiiii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-1−ii−ii
χ191-1-111-1-11-111-1-1111-1-111-1-111-1-111-1-1-1-1111-11111-1-1-1-11-11-1-11ii−i−i1-111-1-111-1-111-1-1−i−i−i−iiiii-11i−i-1-111-1-111ii−i−i−i−iii−i−iii−i−iii-11i−ii−i
χ201-1-111-1-11-111-1-1111-1-111-1-111-1-111-1-1-1-1111-11111-1-1-1-11-11-1-11−i−iii1-111-1-111-1-111-1-1iiii−i−i−i−i-11−ii-1-111-1-111−i−iiiii−i−iii−i−iii−i−i-11−ii−ii
χ211-1-111-1-11-111-1-1111-1-111-1-111-1-1-1-11111-1-11-11111-1-1-1-1-11-111-1ii−i−i-1111-1-1-1-111-1-111iiii−i−i−i−i1-1i−i11-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-11−ii−ii
χ221-1-111-1-11-111-1-1111-1-111-1-111-1-1-1-11111-1-11-11111-1-1-1-1-11-111-1−i−iii-1111-1-1-1-111-1-111−i−i−i−iiiii1-1−ii11-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-11i−ii−i
χ231-1-111-1-11-111-1-1111-1-111-1-111-1-1-1-111-1-1111-11111-1-1-1-1-11-11-11ii−i−i-1111-1-1-1-111-1-111−i−i−i−iiiii-11i−i-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i1-1−ii−ii
χ241-1-111-1-11-111-1-1111-1-111-1-111-1-1-1-111-1-1111-11111-1-1-1-1-11-11-11−i−iii-1111-1-1-1-111-1-111iiii−i−i−i−i-11−ii-1-11111-1-1−i−iiiii−i−i−i−iii−i−iii1-1i−ii−i
χ251-1-111-1-11-111-1-1111-1-111-1-1-1-11111-1-111-1-11-111-1-111-1-11-1-111-1ii−i−i-11-1-11111-1-1-1-111−i−i−i−iiiii1-1i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-11i−i−ii
χ261-1-111-1-11-111-1-1111-1-111-1-1-1-11111-1-111-1-11-111-1-111-1-11-1-111-1−i−iii-11-1-11111-1-1-1-111iiii−i−i−i−i1-1−ii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-11−iii−i
χ271-1-111-1-11-111-1-1111-1-111-1-1-1-11111-1-1-1-1111-111-1-111-1-11-1-11-11ii−i−i-11-1-11111-1-1-1-111iiii−i−i−i−i-11i−i11-1-1-1-111−i−iii−i−iii−i−iiiii−i−i1-1i−i−ii
χ281-1-111-1-11-111-1-1111-1-111-1-1-1-11111-1-1-1-1111-111-1-111-1-11-1-11-11−i−iii-11-1-11111-1-1-1-111−i−i−i−iiiii-11−ii11-1-1-1-111ii−i−iii−i−iii−i−i−i−iii1-1−iii−i
χ291-1-111-1-11-111-1-1111-1-111-1-1-1-111-1-11111-1-11-111-1-111-1-1-111-11-1ii−i−i1-1-1-111-1-11111-1-1−i−i−i−iiiii1-1i−i-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i1-1−iii−i
χ301-1-111-1-11-111-1-1111-1-111-1-1-1-111-1-11111-1-11-111-1-111-1-1-111-11-1−i−iii1-1-1-111-1-11111-1-1iiii−i−i−i−i1-1−ii-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii1-1i−i−ii
χ311-1-111-1-11-111-1-1111-1-111-1-1-1-111-1-111-1-1111-111-1-111-1-1-111-1-11ii−i−i1-1-1-111-1-11111-1-1iiii−i−i−i−i-11i−i11-1-111-1-1−i−iii−i−iiiii−i−i−i−iii-11−iii−i
χ321-1-111-1-11-111-1-1111-1-111-1-1-1-111-1-111-1-1111-111-1-111-1-1-111-1-11−i−iii1-1-1-111-1-11111-1-1−i−i−i−iiiii-11−ii11-1-111-1-1ii−i−iii−i−i−i−iiiii−i−i-11i−i−ii
χ33222222222222222222-2-22-22-22-2000022222-2-2-22-22-2-2-20000220000002-22-20000000000000000-2-2002-22-200000000000000000000000000
χ34222222222222222222-2-22-22-22-20000-2-2-2-22-2-2-22-22-2-2-20000-2-20000002-22-200000000000000002200-22-2200000000000000000000000000
χ35222222222222222222-2-22-2-22-22000022222-2-2-2-22-22-2-2000022000000-22-220000000000000000-2-200-22-2200000000000000000000000000
χ36222222222222222222-2-22-2-22-220000-2-2-2-22-2-2-2-22-22-2-20000-2-2000000-22-22000000000000000022002-22-200000000000000000000000000
χ372222222222222-2-22-2-222-22000022220000-22-2-20000-2-22200000000000000-2-2-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i000000
χ382222222222222-2-22-2-222-22000022220000-22-2-20000-2-22200000000000000-2-2-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i000000
χ392222222222222-2-22-2-222-220000-2-2-2-20000-22-2-20000-2-2-2-200000000000000222200002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000
χ402222222222222-2-22-2-222-220000-2-2-2-20000-22-2-20000-2-2-2-20000000000000022220000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000
χ412222222222-2-2-222-2222-2-22222200000000-2-22-22222-22000000000000-2-2-2-2000000002-22-22-22-200000000000000002-22-200000000000000
χ422222222222-2-2-222-2222-2-22222200000000-2-22-22222-22000000000000-2-2-2-200000000-22-22-22-220000000000000000-22-2200000000000000
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χ452222222222-2-2-222-222-22-2-22-22-200000000-22-222-22-22-2000000222200-22-22000000000000000000-2-2000000002-22-2000000000000000000
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χ522222222222-2-2-2-2-2-2-2-22-2220000000000002-2-2200002-200-2-2000000-2-2000000002222−2i2i2i−2i−2i2i2i−2i000000000000000000002i−2i2i−2i0000000000
χ532-2-222-2-22-222-2-2222-2-2-2-2-222-2-22000022-2-222-2-22-2-222200002-20000002-2-220000000000000000-22002-2-2200000000000000000000000000
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χ1078-8-88-88-888-80000000000000000000044-4-400000000000000-44000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-888-800000000000000000000-4-444000000000000004-4000000000000000000000000000000000000000000000000000000000000
χ1091616-16-160000008-8800-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1616-1600000088-800-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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