Finite Group Databasebeta

← Group #72259019

Character table — Group #72259019

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111111122222222222222222222222222224444444488888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ12111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ17111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ18111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ19111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii
χ20111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i
χ21111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iii−i−iii
χ22111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−iii−i−i
χ23111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1ii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i
χ24111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii
χ25111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii
χ26111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111ii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ27111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ28111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ29111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-1−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ30111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-1ii−i−iii−i−i−i−iiiii−i−iii−i−i−i−iii
χ31111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii
χ32111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i
χ33222222222222-2-2-2-2-2-2222222-2-2-2-2-222-2-2-2-2-22222-2-2-2-222-2-2000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i00000000
χ34222222222222-2-2-2-2-2-2222222-2-2-2-2-222-2-2-2-2-22222-2-2-2-222-2-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i00000000
χ35222222222222-2-2-2-2-2-2222222-2-2-2-2-222-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i00000000
χ36222222222222-2-2-2-2-2-2222222-2-2-2-2-222-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i00000000
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2222222222-2-2-2-2-2-2220000000000000000000000000000000022-2-2-2-2220000000000000000000000002-2-2200000000
χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2222222222-2-2-2-2-2-22200000000000000000000000000000000-2-22222-2-2000000000000000000000000-222-200000000
χ39222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-222222-2-2-2-2222222-2-20000000000000000000000000000000022-2-2-2-222000000000000000000000000-222-200000000
χ40222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-222222-2-2-2-2222222-2-200000000000000000000000000000000-2-22222-2-20000000000000000000000002-2-2200000000
χ4122222222-2-2-2-22222-2-22222-2-222-2-2-2-2-222-2-2-222-2-222-2-22-22-20000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i00000000000000000000
χ4222222222-2-2-2-22222-2-22222-2-222-2-2-2-2-222-2-2-222-2-222-2-22-22-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i00000000000000000000
χ4322222222-2-2-2-22222-2-22222-2-222-2-2-2-2-222-2-2-2-2-222-2-222-22-220000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i00000000000000000000
χ4422222222-2-2-2-22222-2-22222-2-222-2-2-2-2-222-2-2-2-2-222-2-222-22-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i00000000000000000000
χ4522222222-2-2-2-22222-2-2-2-2-2-222-2-22-2-222-2-222222-2-222-2-2-22-2200000000000000000000000022-2-2-2-222000000000000000000002-2-2200000000000000000000
χ4622222222-2-2-2-22222-2-2-2-2-2-222-2-22-2-222-2-222222-2-222-2-2-22-22000000000000000000000000-2-22222-2-200000000000000000000-222-200000000000000000000
χ4722222222-2-2-2-22222-2-2-2-2-2-222-2-22-2-222-2-2222-2-222-2-2222-22-200000000000000000000000022-2-2-2-22200000000000000000000-222-200000000000000000000
χ4822222222-2-2-2-22222-2-2-2-2-2-222-2-22-2-222-2-2222-2-222-2-2222-22-2000000000000000000000000-2-22222-2-2000000000000000000002-2-2200000000000000000000
χ4922222222-2-2-2-2-2-2-2-2222222-2-2-2-2222-2-2-2-222222-2-2-2-2222-2-2200000000222200000000-2-2-2-200000000000000002-22-200000000000000000000000000000000
χ5022222222-2-2-2-2-2-2-2-2222222-2-2-2-2222-2-2-2-222222-2-2-2-2222-2-2200000000-2-2-2-20000000022220000000000000000-22-2200000000000000000000000000000000
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χ5422222222-2-2-2-2-2-2-2-222-2-2-2-22222-2222222-2-2-222-2-2-2-222-222-200000000-2-2220000000022-2-20000000000000000-222-200000000000000000000000000000000
χ5522222222-2-2-2-2-2-2-2-222-2-2-2-22222-2222222-2-2-2-2-22222-2-22-2-220000000022-2-200000000-2-2220000000000000000-222-200000000000000000000000000000000
χ5622222222-2-2-2-2-2-2-2-222-2-2-2-22222-2222222-2-2-2-2-22222-2-22-2-2200000000-2-2220000000022-2-200000000000000002-2-2200000000000000000000000000000000
χ57222-2-2-2-2222-2-222-2-22-222-2-2222-222-2-2-22-22-2-2000000000000000022-2-20000000022-2-200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000002i−2i2i−2i000000000000
χ58222-2-2-2-2222-2-222-2-22-222-2-2222-222-2-2-22-22-2-2000000000000000022-2-20000000022-2-20000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i000000000000
χ59222-2-2-2-2222-2-222-2-22-222-2-2222-222-2-2-22-22-2-20000000000000000-2-22200000000-2-22200002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000−2i2i−2i2i000000000000
χ60222-2-2-2-2222-2-222-2-22-222-2-2222-222-2-2-22-22-2-20000000000000000-2-22200000000-2-2220000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002i−2i2i−2i000000000000
χ61222-2-2-2-2222-2-222-2-22-2-2-222-2-2-22-22-222-22-222000000000000000022-2-200000000-2-22200002-22-2-22-2200000000000000000000000000002-2-22000000000000
χ62222-2-2-2-2222-2-222-2-22-2-2-222-2-2-22-22-222-22-222000000000000000022-2-200000000-2-2220000-22-222-22-20000000000000000000000000000-222-2000000000000
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χ64222-2-2-2-2222-2-222-2-22-2-2-222-2-2-22-22-222-22-2220000000000000000-2-2220000000022-2-20000-22-222-22-200000000000000000000000000002-2-22000000000000
χ65222-2-2-2-22-2-22222-2-2-2222-2-2-2-22-2-2-22222-2-22200000000000022-2-20000000022-2-2000000002-2-222-2-220000000000000000000000002-22-20000000000000000
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χ752-2-222-2-222-22-22-22-22-22-22-22-2222-222-2-2-2-22-2000000000000-22-2200000000-22-2200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000−2i2i−2i2i0000
χ762-2-222-2-222-22-22-22-22-22-22-22-2222-222-2-2-2-22-2000000000000-22-2200000000-22-220000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002i−2i2i−2i0000
χ772-2-222-2-222-22-22-22-22-2-22-22-22-2-2-2-22-22222-220000000000002-22-200000000-22-2200000000000000002-22-2-22-2200000000000000000000000000002-2-220000
χ782-2-222-2-222-22-22-22-22-2-22-22-22-2-2-2-22-22222-220000000000002-22-200000000-22-220000000000000000-22-222-22-20000000000000000000000000000-222-20000
χ792-2-222-2-222-22-22-22-22-2-22-22-22-2-2-2-22-22222-22000000000000-22-22000000002-22-200000000000000002-22-2-22-220000000000000000000000000000-222-20000
χ802-2-222-2-222-22-22-22-22-2-22-22-22-2-2-2-22-22222-22000000000000-22-22000000002-22-20000000000000000-22-222-22-200000000000000000000000000002-2-220000
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Here i is the imaginary unit (i² = −1).