Finite Group Databasebeta

← Group #72266186

Character table — Group #72266186

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size111122222244444444888888888888888888161616161616161616161616323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464646464128128128128
order1222222222222222222222222222222222222222224444442244444444444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111-1-11111-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iii−i−iii−i−i
χ101111111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−iii−i−iii
χ111111111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-111-1-1-1-11111ii−i−iiiii−i−i−i−i−i−iii−i−iii
χ121111111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-111-1-1-1-11111−i−iii−i−i−i−iiiiiii−i−iii−i−i
χ131111111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1111111-1-1-1-1-1-11111ii−i−i−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1111111-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i−i−iiiii−i−i
χ151111111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1111111-1-1-1-1ii−i−i−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1111111-1-1-1-1−i−iiiiiii−i−i−i−iii−i−i−i−iii
χ1711111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-111-1-11111ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i-1-111-1-1i−ii−iii−i−iii−i−i1-11-111-1-111-1-1i−ii−ii−ii−i
χ1811111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-111-1-11111ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-1-111-1-1i−ii−iii−i−iii−i−i-11-11-1-111-1-111−ii−ii−ii−ii
χ1911111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-111-1-11111−i−iii−i−iii11-1-111-1-1−i−iii−i−iii-1-111-1-1−ii−ii−i−iii−i−iii1-11-111-1-111-1-1−ii−ii−ii−ii
χ2011111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-111-1-11111−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-1-111-1-1−ii−ii−i−iii−i−iii-11-11-1-111-1-111i−ii−ii−ii−i
χ2111111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111i−ii−i−i−iii−i−iii1-11-1-1-111-1-111i−ii−i−ii−ii
χ2211111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii11-1-111i−ii−i−i−iii−i−iii-11-1111-1-111-1-1−ii−iii−ii−i
χ2311111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111−ii−iiii−i−iii−i−i1-11-1-1-111-1-111−ii−iii−ii−i
χ2411111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111−ii−iiii−i−iii−i−i-11-1111-1-111-1-1i−ii−i−ii−ii
χ2511111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-1-1-111i−i−iiii−i−i−i−iiii−i−iiii−i−i−i−iii-111-1-111-1
χ2611111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-1-1-111i−i−iiii−i−i−i−iii−iii−i−i−iiiii−i−i1-1-111-1-11
χ2711111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-1-1-111−iii−i−i−iiiii−i−ii−i−iiii−i−i−i−iii1-1-111-1-11
χ2811111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-1-1-111−iii−i−i−iiiii−i−i−iii−i−i−iiiii−i−i-111-1-111-1
χ2911111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11111-1-1i−i−ii−i−iiiii−i−ii−i−ii−i−iiiii−i−i-111-11-1-11
χ3011111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111111-1-1i−i−ii−i−iiiii−i−i−iii−iii−i−i−i−iii1-1-11-111-1
χ3111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111111-1-1−iii−iii−i−i−i−iiii−i−ii−i−iiiii−i−i1-1-11-111-1
χ3211111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11111-1-1−iii−iii−i−i−i−iii−iii−iii−i−i−i−iii-111-11-1-11
χ33222222222222222222222222-2-2222222-2-22222-2-2-2-2-2-222-2-200-2-22-200222222220000000000000000000000-2-2-2-20000000000000000000000000000
χ34222222222222222222222222-2-2222222-2-22222-2-2-2-2-2-222-2-200-2-22-200-2-2-2-2-2-2-2-2000000000000000000000022220000000000000000000000000000
χ3522222222222222222222-2-22222222-2-222222-2-222-2-2-2-2-2-222002-2-2-200000000002222222200000000000000000000000000-2-2-2-20000000000000000
χ3622222222222222222222-2-22222222-2-222222-2-222-2-2-2-2-2-222002-2-2-20000000000-2-2-2-2-2-2-2-20000000000000000000000000022220000000000000000
χ3722222222222222222222-2-222-2-2222-2-22-2-222-2-2-2-22222-2-2-2-200-22-2200000000000000000022222222000000000000000000000000000000-2-2-2-20000
χ3822222222222222222222-2-222-2-2222-2-22-2-222-2-2-2-22222-2-2-2-200-22-22000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000022220000
χ392222222222222222-2-22222-2-222-2-2222-222-2-222-2-222-2-2-2-22200-2-2-22002222-2-2-2-20000000000000000000000-2-2220000000000000000000000000000
χ402222222222222222-2-22222-2-222-2-2222-222-2-222-2-222-2-2-2-22200-2-2-2200-2-2-2-22222000000000000000000000022-2-20000000000000000000000000000
χ412222222222222222-2-222-2-2-2-222-2-22-2-2-222-2-2-2-2-2-2-2-222222200-222-20000000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000−2i−2i2i2i0000
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χ442222222222222222-2-222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2-22222-2-222-2-2002-2220000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000002i2i−2i−2i0000000000000000
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χ4622222222222222-2-222-2-2222222-2-2-222222-2-2-2-22222-2-222-2-200-22-2-20000000000-2-222-2-222000000000000000000000000002-22-20000000000000000
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χ1058-88-8008-8000000008-800-4-40000000440000000000000-44000000000000000000000000000000000000000000002-2-222-2-2200000000000000000000
χ1068-88-8008-8000000008-800-4-40000000440000000000000-4400000000000000000000000000000000000000000000-222-2-222-200000000000000000000
χ1078-88-8008-800000000-8800440000000-4-40000000000000-44000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ1088-88-8008-800000000-8800440000000-4-40000000000000-4400000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ1098-88-8008-800000000-8800-4-400000004400000000000004-4000000000000000000000000000000000000000000002-2-22-222-200000000000000000000
χ1108-88-8008-800000000-8800-4-400000004400000000000004-400000000000000000000000000000000000000000000-222-22-2-2200000000000000000000
χ1111616-16-160000-1616000000000000008-8000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1121616-16-160000-161600000000000000-880000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11316-1616-1600-16160000000000008-80000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-1616-1600-1616000000000000-8800000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-16-161616-160000000000000000000000000000000000000000004-400004-400000000000000000000000000000000000000000000000000000000000000
χ11616-16-161616-16000000000000000000000000000000000000000000-440000-4400000000000000000000000000000000000000000000000000000000000000
χ11716-16-1616-16160000000000000000000000000000000000000000004-40000-4400000000000000000000000000000000000000000000000000000000000000
χ11816-16-1616-1616000000000000000000000000000000000000000000-4400004-400000000000000000000000000000000000000000000000000000000000000

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