Finite Group Databasebeta

← Group #72264303

Character table — Group #72264303

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11111111222222222222222244444444444444444444444444888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161632323232
order1222222222222222222244442222222244444444444444444422224444444444444444442244444444444444444488888888888888884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ10111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ11111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ13111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ17111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-1-1-111i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−ii−ii−i
χ18111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii−ii−ii
χ19111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-1-1-111−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−ii−ii
χ20111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−ii−ii−i
χ21111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111ii−i−i−i−iii11-1-111-1-1i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iiii−i−ii
χ22111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111ii−i−i−i−iii-1-111-1-111i−i−iiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i−iii−i
χ23111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111−i−iiiii−i−i11-1-111-1-1−iii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i−iii−i
χ24111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111−i−iiiii−i−i-1-111-1-111−iii−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iiii−i−ii
χ25111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111ii−i−iii−i−i11-1-1-1-111i−ii−i−i−iii−i−iii-1-111-1-111−i−iii−i−iiii−ii−i
χ26111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111ii−i−iii−i−i-1-11111-1-1i−ii−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i−ii−ii
χ27111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111−i−iii−i−iii11-1-1-1-111−ii−iiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i−ii−ii
χ28111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111−i−iii−i−iii-1-11111-1-1−ii−iiii−i−iii−i−i11-1-111-1-1−i−iii−i−iiii−ii−i
χ29111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1ii−i−i−i−iii11-1-111-1-1i−i−ii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−ii−i−ii
χ30111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1ii−i−i−i−iii-1-111-1-111i−i−ii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii−iii−i
χ31111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1−i−iiiii−i−i11-1-111-1-1−iii−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii−iii−i
χ32111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1−i−iiiii−i−i-1-111-1-111−iii−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−ii−i−ii
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χ3522222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-2-222222222-20000-2-2000000002222222200000000-2-2-2-20000000000000000000000000000
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χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-22222222-2-2-2-2222220000-2-2000000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i0000000000000000000000000000
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χ1074-4-4-4444-4-444-4-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000022−22−222200000000
χ1084-4-4-4444-4-444-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000−222222−2200000000
χ109888-8-8-88-800000000000000000000000000000000000008i−8i00000000000000000000000000000000000000000000000000000000000000000
χ110888-8-8-88-80000000000000000000000000000000000000−8i8i00000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-88-880000000000000000000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88000000000000000000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000

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