Finite Group Databasebeta

← Group #72337722

Character table — Group #72337722

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222244444444444444444444448888888888888888881616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-111-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i
χ611111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-111-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii
χ711111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii
χ811111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i
χ91111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111111111-1-1-111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii
χ101111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111111111-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i
χ111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i
χ121111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii
χ131111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ141111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ151111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ161111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ17111111-1-1-111-1-1-111111-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11-111-1-11iiii−i−i−i−i-11-11-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ18111111-1-1-111-1-1-111111-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11-111-1-11iiii−i−i−i−i-11-11-1ii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ19111111-1-1-111-1-1-111111-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11-111-1-11−i−i−i−iiiii-11-11-1−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ20111111-1-1-111-1-1-111111-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11-111-1-11−i−i−i−iiiii-11-11-1−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ21111111-1-1-111-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1111-1-1-1iiii−i−i−i−i11-1-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii-111-1-111-1
χ22111111-1-1-111-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1111-1-1-1iiii−i−i−i−i11-1-11−i−iiiii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i1-1-111-1-11
χ23111111-1-1-111-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1111-1-1-1−i−i−i−iiiii11-1-11ii−i−i−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii1-1-111-1-11
χ24111111-1-1-111-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1111-1-1-1−i−i−i−iiiii11-1-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i-111-1-111-1
χ25111111-1-1-111-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-1iiii−i−i−i−i1-111-1−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-111-11-1-11
χ26111111-1-1-111-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-1iiii−i−i−i−i1-111-1−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-11-111-1
χ27111111-1-1-111-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-1−i−i−i−iiiii1-111-1ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-11-111-1
χ28111111-1-1-111-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-1−i−i−i−iiiii1-111-1ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11
χ29111111-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-11-111-1-11iiii−i−i−i−i-1-11-11ii−i−i−i−iii−i−iii11-1-1-1-111-1-11111-1-1i−ii−i−ii−ii
χ30111111-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-11-111-1-11iiii−i−i−i−i-1-11-11ii−i−i−i−iii−i−iii-1-11111-1-111-1-1-1-111−ii−iii−ii−i
χ31111111-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-11-111-1-11−i−i−i−iiiii-1-11-11−i−iiiii−i−iii−i−i11-1-1-1-111-1-11111-1-1−ii−iii−ii−i
χ32111111-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-11-111-1-11−i−i−i−iiiii-1-11-11−i−iiiii−i−iii−i−i-1-11111-1-111-1-1-1-111i−ii−i−ii−ii
χ33222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-200000000-2-2-2-2-2000000000000000000000000000000000000
χ3422222222222222222222222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22000000002-2-222000000000000000000000000000000000000
χ352222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222-2-2-2-2200000000222-2-2000000000000000000000000000000000000
χ362222222222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-200000000-22222000000000000000000000000000000000000
χ37222222222222222-2-2-2-22-2-200000000-2-22222000000000000-2-222-2-2222-22-2-200000000-200000000000000002-22-2000000002-22-200000000
χ38222222222222222-2-2-2-22-2-200000000-2-22222000000000000-2-222-2-2222-22-2-200000000-20000000000000000-22-2200000000-22-2200000000
χ39222222222222222-2-2-2-22-2-200000000-2-22222000000000000-2-222-2-2-2-2-22-222000000002000000000000000000002-22-22-22-2000000000000
χ40222222222222222-2-2-2-22-2-200000000-2-22222000000000000-2-222-2-2-2-2-22-22200000000200000000000000000000-22-22-22-22000000000000
χ41222222222222222-2-2-2-22-2-200000000-2-2-2-2-2-200000000000022-2-22222-22-22-200000000-2000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ42222222222222222-2-2-2-22-2-200000000-2-2-2-2-2-200000000000022-2-22222-22-22-200000000-200000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ43222222222222222-2-2-2-22-2-200000000-2-2-2-2-2-200000000000022-2-222-2-22-22-2200000000200000000000000002i−2i2i−2i00000000−2i2i−2i2i00000000
χ44222222222222222-2-2-2-22-2-200000000-2-2-2-2-2-200000000000022-2-222-2-22-22-220000000020000000000000000−2i2i−2i2i000000002i−2i2i−2i00000000
χ45222222-2-2-222-2-2-222222-2-2-222222222-2-2222222-2-2-2-222-2-2-2-222-2-2-2-2-22-2-222-2000000002-22-22000000000000000000000000000000000000
χ46222222-2-2-222-2-2-222222-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-222222-2-2-222200000000-2-222-2000000000000000000000000000000000000
χ47222222-2-2-222-2-2-222222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222222-2-2-222200000000-22-2-22000000000000000000000000000000000000
χ48222222-2-2-222-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2222222-2-2-2-2-22-2-222-20000000022-22-2000000000000000000000000000000000000
χ49222222-2-2-222-2-2-22-2-2-2-2-22200000000222222000000000000-2-2-2-2222-22-2-22-200000000200000000000000002-2-22000000002-2-2200000000
χ50222222-2-2-222-2-2-22-2-2-2-2-22200000000222222000000000000-2-2-2-2222-22-2-22-20000000020000000000000000-222-200000000-222-200000000
χ51222222-2-2-222-2-2-22-2-2-2-2-22200000000222222000000000000-2-2-2-222-22-222-2200000000-2000000000000000000002-2-222-2-22000000000000
χ52222222-2-2-222-2-2-22-2-2-2-2-22200000000222222000000000000-2-2-2-222-22-222-2200000000-200000000000000000000-222-2-222-2000000000000
χ53222222-2-2-222-2-2-22-2-2-2-2-2220000000022-2-2-2-20000000000002222-2-22-2-222-2-2000000002000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ54222222-2-2-222-2-2-22-2-2-2-2-2220000000022-2-2-2-20000000000002222-2-22-2-222-2-200000000200000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ55222222-2-2-222-2-2-22-2-2-2-2-2220000000022-2-2-2-20000000000002222-2-2-222-2-22200000000-200000000000000002i−2i−2i2i00000000−2i2i2i−2i00000000
χ56222222-2-2-222-2-2-22-2-2-2-2-2220000000022-2-2-2-20000000000002222-2-2-222-2-22200000000-20000000000000000−2i2i2i−2i000000002i−2i−2i2i00000000
χ5744444444-4-4-4-4-4-4-40000400000000000044-4-4000000000000004-40000000002i2i−2i−2i2i2i−2i−2i000002i−2i2i−2i00000000000000000000000000000000
χ5844444444-4-4-4-4-4-4-40000400000000000044-4-4000000000000004-4000000000−2i−2i2i2i−2i−2i2i2i00000−2i2i−2i2i00000000000000000000000000000000
χ5944444444-4-4-4-4-4-4-400004000000000000-4-44400000000000000-440000000002i2i−2i−2i2i2i−2i−2i00000−2i2i−2i2i00000000000000000000000000000000
χ6044444444-4-4-4-4-4-4-400004000000000000-4-44400000000000000-44000000000−2i−2i2i2i−2i−2i2i2i000002i−2i2i−2i00000000000000000000000000000000
χ61444444-4-44-4-4444-40000-400000000000044-4-400000000000000-4400000000022-2-2-2-222000002-2-2200000000000000000000000000000000
χ62444444-4-44-4-4444-40000-400000000000044-4-400000000000000-44000000000-2-22222-2-200000-222-200000000000000000000000000000000
χ63444444-4-44-4-4444-40000-4000000000000-4-444000000000000004-400000000022-2-2-2-22200000-222-200000000000000000000000000000000
χ64444444-4-44-4-4444-40000-4000000000000-4-444000000000000004-4000000000-2-22222-2-2000002-2-2200000000000000000000000000000000
χ654444-4-444444-4-44-444-4-4-44-4000044444-40000000000-4-444-4-400000000000000000000000000000000000000000000000000000000000000
χ664444-4-444444-4-44-444-4-4-44-40000-4-4-4-44-4000000000044-4-44400000000000000000000000000000000000000000000000000000000000000
χ674444-4-444444-4-44-4-4-444-4-4444440000-440000-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ684444-4-444444-4-44-4-4-444-4-44-4-4-4-40000-44000044-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ694444-4-4-4-4-44444-4-444-4-44-4400004444-440000000000-4-4-4-44400000000000000000000000000000000000000000000000000000000000000
χ704444-4-4-4-4-44444-4-444-4-44-440000-4-4-4-4-4400000000004444-4-400000000000000000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-44444-4-4-4-44444-4444400004-40000-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ724444-4-4-4-4-44444-4-4-4-44444-4-4-4-4-400004-400004444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ7344-4-4004-444-400-40004-400444-4-400000-40000004-40000000000000000000002i−2i2i−2i2i−2i2i−2i0000000002i−2i2i−2i0000000000000000000000000000
χ7444-4-4004-444-400-40004-400444-4-400000-40000004-4000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000−2i2i−2i2i0000000000000000000000000000
χ7544-4-4004-444-400-40004-4004-4-44400000-4000000-440000000000000000000002i−2i2i−2i2i−2i2i−2i000000000−2i2i−2i2i0000000000000000000000000000
χ7644-4-4004-444-400-40004-4004-4-44400000-4000000-44000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000002i−2i2i−2i0000000000000000000000000000
χ7744-4-4004-4-4-4400404-4000-40000044-4-4400000000000004-40000000000000002-2-222-2-2200000000000002-22-2000000000000000000000000
χ7844-4-4004-4-4-4400404-4000-40000044-4-4400000000000004-4000000000000000-222-2-222-20000000000000-22-22000000000000000000000000
χ7944-4-4004-4-4-4400404-4000-400000-4-44440000000000000-440000000000000002-2-222-2-220000000000000-22-22000000000000000000000000
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χ8144-4-400-444-4400-404-400040000044-4-4-40000000000000-440000000000000002i−2i−2i2i−2i2i2i−2i00000000000002i−2i−2i2i000000000000000000000000
χ8244-4-400-444-4400-404-400040000044-4-4-40000000000000-44000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000−2i2i2i−2i000000000000000000000000
χ8344-4-400-444-4400-404-4000400000-4-444-400000000000004-40000000000000002i−2i−2i2i−2i2i2i−2i0000000000000−2i2i2i−2i000000000000000000000000
χ8444-4-400-444-4400-404-4000400000-4-444-400000000000004-4000000000000000−2i2i2i−2i2i−2i−2i2i00000000000002i−2i−2i2i000000000000000000000000
χ8544-4-400-44-44-40040004-400-444-4-4000004000000-440000000000000000000002-22-2-22-220000000002-2-220000000000000000000000000000
χ8644-4-400-44-44-40040004-400-444-4-4000004000000-44000000000000000000000-22-222-22-2000000000-222-20000000000000000000000000000
χ8744-4-400-44-44-40040004-400-4-4-4440000040000004-40000000000000000000002-22-2-22-22000000000-222-20000000000000000000000000000
χ8844-4-400-44-44-40040004-400-4-4-4440000040000004-4000000000000000000000-22-222-22-20000000002-2-220000000000000000000000000000
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χ908888-8-8-8-88-8-8-8-88800008000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8008-888-800-8000-8800-80000000008000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8008-8-8-880080-880008000000000-80000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-888-8800-80-88000-800000000080000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-800-88-88-8008000-88008000000000-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800000008-80000000004-44-44-44-400000000004-400004-44-4004-400000000000000000000000000000000000000000000000000000000
χ968-88-800000008-80000000004-44-4-44-4400000000004-40000-44-4400-4400000000000000000000000000000000000000000000000000000000
χ978-88-800000008-8000000000-44-444-44-40000000000-4400004-4-4400-4400000000000000000000000000000000000000000000000000000000
χ988-88-800000008-8000000000-44-44-44-440000000000-440000-444-4004-400000000000000000000000000000000000000000000000000000000
χ998-88-80000000-880000000004-44-44-44-40000000000-440000-444-400-4400000000000000000000000000000000000000000000000000000000
χ1008-88-80000000-880000000004-44-4-44-440000000000-4400004-4-44004-400000000000000000000000000000000000000000000000000000000
χ1018-88-80000000-88000000000-44-444-44-400000000004-40000-44-44004-400000000000000000000000000000000000000000000000000000000
χ1028-88-80000000-88000000000-44-44-44-4400000000004-400004-44-400-4400000000000000000000000000000000000000000000000000000000
χ1038-8-888-800000000000000004-4-444-4-4400008-84-400004-4000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-800000000000000004-4-44-444-40000-884-40000-44000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-888-80000000000000000-444-44-4-440000-88-4400004-4000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-888-80000000000000000-444-4-444-400008-8-440000-44000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-8800000000000000004-4-444-4-44008-800-440000-44000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8800000000000000004-4-44-444-400-8800-4400004-4000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-880000000000000000-444-44-4-4400-88004-40000-44000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-880000000000000000-444-4-444-4008-8004-400004-4000000000000000000000000000000000000000000000000000000000000000000

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