Finite Group Databasebeta

← Group #72313895

Character table — Group #72313895

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222222222224444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222444444444444444444442222444444444444444444444444444444222244444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111
χ911111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1111-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1211111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1111-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1111-1-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1111-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ17111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-111111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111-11-1-11-1-11-1-111-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ18111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-111111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-111-1-11-1-1-111-1-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ19111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-111111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11-1-111-1111-1-111-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ20111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-111111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-11-111-111-111-1-11ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ21111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-111111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111-11-1-11-1-11-1-111-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ22111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-111111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-111-1-11-1-1-111-1-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ23111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-111111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11-1-111-1111-1-111-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ24111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-111111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-11-111-111-111-1-11−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ25111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111iiii−i−i−i−i−i−i−i−iiiii1-1111-1-1-1111-1-1-1-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ26111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111iiii−i−i−i−i−i−i−i−iiiii1-1-1-11-1-1-111-11111-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ27111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111iiii−i−i−i−i−i−i−i−iiiii-1111-1111-1-11-1-1-1-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ28111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111iiii−i−i−i−i−i−i−i−iiiii-11-1-1-1111-1-1-11111-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ29111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i1-1111-1-1-1111-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ30111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1-11-1-1-111-11111-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ31111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i-1111-1111-1-11-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ32111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-1111-1-1-11111-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ33222222222222-2-22222-2-22222-2-222-2-2-2-2-2-22-2-2222-2-2-222-2-2-2000000000000000000000000000000000000000000000000000000002-22-22-22-2
χ34222222222222-2-22222-2-22222-2-222-2-2-2-2-2-22-2-2222-2-2-222-2-2-200000000000000000000000000000000000000000000000000000000-22-22-22-22
χ35222222222222-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-22-2-22-2-2222-2-2222000000000000000000000000000000000000000000000000000000002-22-2-22-22
χ36222222222222-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-22-2-22-2-2222-2-222200000000000000000000000000000000000000000000000000000000-22-222-22-2
χ372222222222-2-22222-2-22222-2-222-2-222-2-2-2-2-222-22-22-2-22-22-2-20000000000000000000000000000000000000000000000002-22-22-22-200000000
χ382222222222-2-22222-2-22222-2-222-2-222-2-2-2-2-222-22-22-2-22-22-2-2000000000000000000000000000000000000000000000000-22-22-22-2200000000
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χ45222222-2-2-2-2222222-2-2-2-2-2-22222-2-22222-2-2-2-2-222-2-222-222-2-200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
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χ52222222-2-2-2-222-2-2-2-222-2-222-2-222-2-2-2-2-2-222-2222-22-2222-22-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
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χ54222222-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2222-2-2-222-2-2-2-2-222200000000000000000000000000000000000000000000000000000000-222-2-222-2
χ55222222-2-2-2-2-2-222-2-2-2-2222222-2-22222-2-2222-2-2-2-2-222222-2-2-2000000000000000000000000000000000000000000000000000000002-2-22-222-2
χ56222222-2-2-2-2-2-222-2-2-2-2222222-2-22222-2-2222-2-2-2-2-222222-2-2-200000000000000000000000000000000000000000000000000000000-222-22-2-22
χ572222-2-22-2-22222222-2-222-2-22222-2-2-2-22-22-222-2-2-22-22-22-2-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
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χ862222-2-2-222-2-2-2-2-222-2-22222-2-2-2-2-2-2222-2-2222-22-22-22-2-222-22-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ872222-2-2-222-2-2-2-2-2-2-222-2-2-2-22222-2-2222-2-2222-222-22-222-2-22-222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ882222-2-2-222-2-2-2-2-2-2-222-2-2-2-22222-2-2222-2-2222-222-22-222-2-22-2-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
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χ9144-4-40004-404-400−4i4i−4i4i00−4i4i−4i4i004-4000000000000000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ9244-4-40004-404-400−4i4i−4i4i00−4i4i−4i4i004-400000000000000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ9344-4-40004-40-44004i−4i−4i4i004i−4i−4i4i00-44000000000000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ9444-4-40004-40-44004i−4i−4i4i004i−4i−4i4i00-4400000000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ9544-4-40004-40-4400−4i4i4i−4i00−4i4i4i−4i00-44000000000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ9644-4-40004-40-4400−4i4i4i−4i00−4i4i4i−4i00-4400000000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ9744-4-4000-4404-4004i−4i−4i4i00−4i4i4i−4i00-44000000000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-2000000000000000000000000000000000000000000000000
χ9844-4-4000-4404-4004i−4i−4i4i00−4i4i4i−4i00-4400000000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-22000000000000000000000000000000000000000000000000
χ9944-4-4000-4404-400−4i4i4i−4i004i−4i−4i4i00-44000000000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-22000000000000000000000000000000000000000000000000
χ10044-4-4000-4404-400−4i4i4i−4i004i−4i−4i4i00-4400000000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-2000000000000000000000000000000000000000000000000
χ10144-4-4000-440-44004i−4i4i−4i00−4i4i−4i4i004-4000000000000000000002i−2i2i−2i−2i2i−2i2i-22-222-22-2000000000000000000000000000000000000000000000000
χ10244-4-4000-440-44004i−4i4i−4i00−4i4i−4i4i004-400000000000000000000−2i2i−2i2i2i−2i2i−2i2-22-2-22-22000000000000000000000000000000000000000000000000
χ10344-4-4000-440-4400−4i4i−4i4i004i−4i4i−4i004-4000000000000000000002i−2i2i−2i−2i2i−2i2i2-22-2-22-22000000000000000000000000000000000000000000000000
χ10444-4-4000-440-4400−4i4i−4i4i004i−4i4i−4i004-400000000000000000000−2i2i−2i2i2i−2i2i−2i-22-222-22-2000000000000000000000000000000000000000000000000
χ1058-88-800800-8000000008-800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800800-800000000-880000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-8008000000008-80000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-800800000000-8800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-80000008i−8i000000000000008i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-8000000−8i8i00000000000000−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-880000008i−8i00000000000000−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-88000000−8i8i000000000000008i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000

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