Finite Group Databasebeta

← Group #72262349

Character table — Group #72262349

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11222222244444444444444444488888888888888888161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222444444222222244444444444444444444444444444444444444444444444444444444444
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
χ31111111111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ9111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-111111-1-111111-111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−iii−i−iii−i−i11-1-1ii−i−i
χ10111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-111111-1-111111-111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii−i−iii−i−iii11-1-1−i−iii
χ11111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-11111-11-11111-11-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111−i−iiiiiii−i−i−i−iii−i−i−i−iii-1-111−i−iii
χ12111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-11111-11-11111-11-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−i−i−i−iiiii−i−iiiii−i−i-1-111ii−i−i
χ13111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-11-111-1-111111111iiii−i−i−i−i11-1-1ii−i−i−i−i−i−iiiiiii−i−iii−i−i-1-111−i−iii
χ14111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-11-111-1-111111111−i−i−i−iiiii11-1-1−i−iiiiiii−i−i−i−i−i−iii−i−iii-1-111ii−i−i
χ15111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111111111iiii−i−i−i−i-1-111−i−iii−i−i−i−iiiiiii−i−i−i−iii11-1-1ii−i−i
χ16111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111111111−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i−i−iiiii−i−i11-1-1−i−iii
χ17111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-1-1-1111-1-11-1111-1-11-1-1-1111111-1-1-1-1iiii−i−i−i−i1-11-1−i−iiiii−i−iii−i−i−i−iiiii−i−i1-11-1i−ii−i
χ18111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-1-1-1111-1-11-1111-1-11-1-1-1111111-1-1-1-1−i−i−i−iiiii1-11-1ii−i−i−i−iii−i−iiiii−i−i−i−iii1-11-1−ii−ii
χ19111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-1-1-1111-1-1-11111-1-1-1111-1-11111-1-1-1-1iiii−i−i−i−i-11-11ii−i−iii−i−iii−i−i−i−iii−i−iii-11-11−ii−ii
χ20111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-1-1-1111-1-1-11111-1-1-1111-1-11111-1-1-1-1−i−i−i−iiiii-11-11−i−iii−i−iii−i−iiiii−i−iii−i−i-11-11i−ii−i
χ21111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-1-1-11-1-1111-11-1-1111-1-1-111-1-1-1-11111iiii−i−i−i−i1-11-1−i−iii−i−iii−i−iii−i−iiiii−i−i-11-11−ii−ii
χ22111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-1-1-11-1-1111-11-1-1111-1-1-111-1-1-1-11111−i−i−i−iiiii1-11-1ii−i−iii−i−iii−i−iii−i−i−i−iii-11-11i−ii−i
χ23111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-1-1-11-1-111-111-1-111-1111-1-1-1-1-1-11111iiii−i−i−i−i-11-11ii−i−i−i−iii−i−iii−i−iii−i−iii1-11-1i−ii−i
χ24111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-1-1-11-1-111-111-1-111-1111-1-1-1-1-1-11111−i−i−i−iiiii-11-11−i−iiiii−i−iii−i−iii−i−iii−i−i1-11-1−ii−ii
χ25111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111-1-111-111-1-111-111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111111-1-111-1-11
χ26111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111-1-111-111-1-111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-11111-1-1-1-11-1-11-111-1
χ27111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111-1-111-111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1
χ28111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111-1-111-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111111111-111-11-1-11
χ29111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111-1-111-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1
χ30111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111-1-111-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1111111-1-1-1-1-111-11-1-11
χ31111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111-1-111-1-1-111-1-1-1-1-111-1-111111111-1-1-1-111111111-111-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-11
χ32111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111-1-111-1-1-111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111111111111-1-11-111-1
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χ3422222222222222222-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-2-2000000-2000000000000000000-2-222-2-2220000000000000000-22-22000000000000
χ35222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-222-2-2-2-222200000020000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000002i−2i−2i2i000000000000
χ36222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-222-2-2-2-22220000002000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000−2i2i2i−2i000000000000
χ372222222222222-2-222222222-2-222-2-2-2-2-22-2-2-2-2-2-2-222222000022-200002222220000000000000000-2-2-2-20000000000000000000000000000
χ382222222222222-2-222222222-2-222-2-2-2-2-22-2-2-2-2-2-2-2222220000-2-2-20000-2-2-2-2-2-2000000000000000022220000000000000000000000000000
χ392222222222222-2-222-2-2-2-222-2-222-2-2-2222-2-2-22222-2-2-2-2-200000020000000000000000000000000000002-22-20000000000002-22-200000000
χ402222222222222-2-222-2-2-2-222-2-222-2-2-2222-2-2-22222-2-2-2-2-20000002000000000000000000000000000000-22-22000000000000-22-2200000000
χ412222222222222-2-2-2-22222-2-222-2-2-2-2-2-2-2-222222-2-222-2-2-200002-2200002-222-2-20000000000000000-2-2220000000000000000000000000000
χ422222222222222-2-2-2-22222-2-222-2-2-2-2-2-2-2-222222-2-222-2-2-20000-2220000-22-2-222000000000000000022-2-20000000000000000000000000000
χ432222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-222-2222-2-222-2-2222000000-20000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000
χ442222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-222-2222-2-222-2-2222000000-2000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00000000
χ45222222222-2-2-2-222222222-2-222-2-2-2-22222-2-2222-2-2-2-2-2-2200002-2-200002-2-2-2220000000000000000-22-220000000000000000000000000000
χ46222222222-2-2-2-222222222-2-222-2-2-2-22222-2-2222-2-2-2-2-2-220000-22-20000-2222-2-200000000000000002-22-20000000000000000000000000000
χ47222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-22-2-22-2-22-2-2222222-200000020000000000000000000000000000002i−2i−2i2i000000000000−2i2i2i−2i00000000
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χ10688-8888-8-8-800000000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10716-16000000000008-88-80000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10816-16000000000008-8-88000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-1600000000000-888-8000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1600000000000-88-880000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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