Finite Group Databasebeta

← Group #72338217

Character table — Group #72338217

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222222222224444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222244444444444444444444442222244444444444442222444444444444444444444444444488888888888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ91111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ121111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ131111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111
χ141111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111
χ151111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1
χ17111111-1-1111111111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ18111111-1-1111111111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ19111111-1-1111111111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ20111111-1-1111111111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ21111111-1-1111111111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-11111ii−i−iii−i−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ22111111-1-1111111111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-11111ii−i−iii−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ23111111-1-1111111111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-11111−i−iii−i−iii11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ24111111-1-1111111111111-1-111-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-11111−i−iii−i−iii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ25111111-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1ii−i−i−i−iii
χ26111111-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111ii−i−i−i−iii
χ27111111-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111−i−iiiii−i−i
χ28111111-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1−i−iiiii−i−i
χ29111111-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-1-111−i−iiiii−i−i
χ30111111-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1−i−iiiii−i−i
χ31111111-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1ii−i−i−i−iii
χ32111111-1-1111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111ii−i−i−i−iii
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χ3822222222-2-2-2-22222-2-2-2-2-2-2222-2-222222222-222-22-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-22-22-220000000000000000
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χ4322222222-2-2-2-2-2-2-2-22222-2-2-2-2-222-2-2-222222-2-2-22-22-2-222-2-222222-2-2-2-2-2-222-2-222000000000000000000000000000000000000000000000000
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χ46222222-2-22222-2-2-2-2-2-2-2-2-2-222-222-2-2-2-2-222-2-222222-2-2-2-2222000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
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χ9344-4-44-400−4i4i−4i4i4i−4i4i−4i-44-4400000000000000000000000000004-400−4i4i0000000000000000000000000000000000000000000000000000000000
χ9444-4-44-400−4i4i−4i4i4i−4i4i−4i-44-440000000000000000000000000000-44004i−4i0000000000000000000000000000000000000000000000000000000000
χ9544-4-44-400−4i4i−4i4i−4i4i−4i4i4-44-400000000000000000000000000000000000000004i−4i-44000000000000000000000000000000000000000000000000
χ9644-4-44-400−4i4i−4i4i−4i4i−4i4i4-44-40000000000000000000000000000000000000000−4i4i4-4000000000000000000000000000000000000000000000000
χ9744-4-4-44004i−4i−4i4i4i−4i−4i4i4-4-440000000000000000000000000000004-4004i−4i00000000000000000000000000000000000000000000000000000000
χ9844-4-4-44004i−4i−4i4i4i−4i−4i4i4-4-44000000000000000000000000000000-4400−4i4i00000000000000000000000000000000000000000000000000000000
χ9944-4-4-44004i−4i−4i4i−4i4i4i−4i-444-40000000000000000000000000000000000004i−4i4-40000000000000000000000000000000000000000000000000000
χ10044-4-4-44004i−4i−4i4i−4i4i4i−4i-444-4000000000000000000000000000000000000−4i4i-440000000000000000000000000000000000000000000000000000
χ10144-4-4-4400−4i4i4i−4i4i−4i−4i4i-444-40000000000000000000000000000000000004i−4i-440000000000000000000000000000000000000000000000000000
χ10244-4-4-4400−4i4i4i−4i4i−4i−4i4i-444-4000000000000000000000000000000000000−4i4i4-40000000000000000000000000000000000000000000000000000
χ10344-4-4-4400−4i4i4i−4i−4i4i4i−4i4-4-440000000000000000000000000000004-400−4i4i00000000000000000000000000000000000000000000000000000000
χ10444-4-4-4400−4i4i4i−4i−4i4i4i−4i4-4-44000000000000000000000000000000-44004i−4i00000000000000000000000000000000000000000000000000000000
χ1058-88-800000000000000008-80008i−8i8i−8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800000000000000008-8000−8i8i−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-80000000000000000-880008i−8i−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-80000000000000000-88000−8i8i8i−8i00000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88008-8000000000000008-880000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88008-800000000000000-88-8000080000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-8800-88000000000000008-8-8000080000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-8800000000000000-8880000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000

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