Finite Group Databasebeta

← Group #72341315

Character table — Group #72341315

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11222444444444444448888888888888888888888888888161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232326464646464646464
order12222222222222244442222222222444444444488888888222244444488888888888888882444444444444444444488888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111111-1-11111111111-1-111-1-1-1-1-1-1-1-11111111111111-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111-1-11111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1111111111111-11-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11111-1-1-1-1111111-1-11111-1-1-1-111
χ81111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1111111111-1-1-1-111-1-111-1-11111-1-1
χ9111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1
χ10111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111
χ11111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ12111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1
χ13111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ14111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-111111-1-1-1-11111-1-111-1-111-1-111-1-1
χ15111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-111-1-11-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1
χ16111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-111-11-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ1711111111111-1-1-1-11-11-11111-1-111-1-11-1-1-111-1-111iiii−i−i−i−i1-11-11-1-11-1-111-1-1ii−i−iiiii−i−i−i−i11-1-1-1-111ii−i−iii−i−iii−i−ii−i1-1i−i1-11-1i−ii−i
χ1811111111111-1-1-1-11-11-11111-1-111-1-11-1-1-111-1-111iiii−i−i−i−i1-11-11-1-11-1-111-1-1ii−i−iiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii−i−iiii−i1-1i−i-11-11−ii−ii
χ1911111111111-1-1-1-11-11-11111-1-111-1-11-1-1-111-1-111−i−i−i−iiiii1-11-11-1-11-1-111-1-1−i−iii−i−i−i−iiiii11-1-1-1-111−i−iii−i−iii−i−iii−ii1-1−ii1-11-1−ii−ii
χ2011111111111-1-1-1-11-11-11111-1-111-1-11-1-1-111-1-111−i−i−i−iiiii1-11-11-1-11-1-111-1-1−i−iii−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−iii−i−i−ii1-1−ii-11-11i−ii−i
χ2111111111111-1-1-1-11-11-11111-1-1-1-1-1-11-1-1-111-1-1-1-1iiii−i−i−i−i1-1-111-11-111-1-111ii−i−iiiii−i−i−i−i1-1-1-1111-1−i−iiiii−i−i−i−iii−ii-11−ii1-1-11i−i−ii
χ2211111111111-1-1-1-11-11-11111-1-1-1-1-1-11-1-1-111-1-1-1-1iiii−i−i−i−i1-1-111-11-111-1-111ii−i−iiiii−i−i−i−i-1111-1-1-11−i−iii−i−iiiii−i−i−ii-11−ii-111-1−iii−i
χ2311111111111-1-1-1-11-11-11111-1-1-1-1-1-11-1-1-111-1-1-1-1−i−i−i−iiiii1-1-111-11-111-1-111−i−iii−i−i−i−iiiii1-1-1-1111-1ii−i−i−i−iiiii−i−ii−i-11i−i1-1-11−iii−i
χ2411111111111-1-1-1-11-11-11111-1-1-1-1-1-11-1-1-111-1-1-1-1−i−i−i−iiiii1-1-111-11-111-1-111−i−iii−i−i−i−iiiii-1111-1-1-11ii−i−iii−i−i−i−iiii−i-11i−i-111-1i−i−ii
χ2511111111111-1-1-1-11-11-111-1-11111-1-11-1-1-1-1-11111iiii−i−i−i−i-111-1-11-11-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−iii−i−ii−i-11i−i-11-11−ii−ii
χ2611111111111-1-1-1-11-11-111-1-11111-1-11-1-1-1-1-11111iiii−i−i−i−i-111-1-11-11-1-1-1-111ii−i−i−i−i−i−iiiii-1-11111-1-1−i−iii−i−iii−i−iiii−i-11i−i1-11-1i−ii−i
χ2711111111111-1-1-1-11-11-111-1-11111-1-11-1-1-1-1-11111−i−i−i−iiiii-111-1-11-11-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii−i−iii−ii-11−ii-11-11i−ii−i
χ2811111111111-1-1-1-11-11-111-1-11111-1-11-1-1-1-1-11111−i−i−i−iiiii-111-1-11-11-1-1-1-111−i−iiiiiii−i−i−i−i-1-11111-1-1ii−i−iii−i−iii−i−i−ii-11−ii1-11-1−ii−ii
χ2911111111111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1-1-111-1-1iiii−i−i−i−i-11-11-111-11111-1-1ii−i−i−i−i−i−iiiii1-1-1-1111-1ii−i−iii−i−i−i−iii−ii1-1−ii-111-1−iii−i
χ3011111111111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1-1-111-1-1iiii−i−i−i−i-11-11-111-11111-1-1ii−i−i−i−i−i−iiiii-1111-1-1-11ii−i−i−i−iiiii−i−i−ii1-1−ii1-1-11i−i−ii
χ3111111111111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1-1-111-1-1−i−i−i−iiiii-11-11-111-11111-1-1−i−iiiiiii−i−i−i−i1-1-1-1111-1−i−iii−i−iiiii−i−ii−i1-1i−i-111-1i−i−ii
χ3211111111111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1-1-111-1-1−i−i−i−iiiii-11-11-111-11111-1-1−i−iiiiiii−i−i−i−i-1111-1-1-11−i−iiiii−i−i−i−iiii−i1-1i−i1-1-11−iii−i
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χ35222222222-2-222-2-2-2-2-2-22-20000002-2-222-2000000−2i−2i2i2i−2i−2i2i2i00000000000000−2i2i−2i2i0000000002002-20-200000000−2i2i−2i2i00000000000000
χ36222222222-2-222-2-2-2-2-2-22-20000002-2-222-2000000−2i−2i2i2i−2i−2i2i2i00000000000000−2i2i−2i2i000000000-200-2202000000002i−2i2i−2i00000000000000
χ37222222222-2-2-2-222-22-222-2000000-22-2-2-2200000022-2-2-2-222000000000000002-2-22000000000200-220-2000000002-2-2200000000000000
χ38222222222-2-2-2-222-22-222-2000000-22-2-2-2200000022-2-2-2-222000000000000002-2-22000000000-2002-20200000000-222-200000000000000
χ39222222222-2-2-2-222-22-222-2000000-22-2-2-22000000-2-22222-2-200000000000000-222-2000000000200-220-200000000-222-200000000000000
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χ10488-88-8000000-8800000000-444-4000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-88008-8-88000080-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8800-888-8000080-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10732-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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