Finite Group Databasebeta

← Group #72265788

Character table — Group #72265788

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222224444444444444448888888888888888888888881616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232646464646464646464646464
order12222222222222222222222222222222222222222444444444422224444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111111-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i
χ10111111111111111111111-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii
χ11111111111111111111111-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i−i−iii−i−iii
χ12111111111111111111111-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ13111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ14111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ15111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ16111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ171111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-11-11-111-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-11-11-1i−ii−ii−ii−i
χ181111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-11-11-111-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i-1-111-1-111-11-11−ii−ii−ii−ii
χ191111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-11-11-111-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-11-11-1−ii−ii−ii−ii
χ201111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-11-11-111-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii-1-111-1-111-11-11i−ii−ii−ii−i
χ211111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-1-111-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-111-1-1-11-11i−ii−i−ii−ii
χ221111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-1-111-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-111-1-1111-11-1−ii−iii−ii−i
χ231111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-1-111-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-111-1-1-11-11−ii−iii−ii−i
χ241111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-1-111-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-111-1-1111-11-1i−ii−i−ii−ii
χ251111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-111-1-11-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−i−i−iiii−i−ii-111-1-111-1
χ261111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-111-1-11-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iiiii−i−i−iii−i1-1-111-1-11
χ271111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-111-1-11-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−i−i−iiii−i−ii1-1-111-1-11
χ281111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-111-1-11-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iiiii−i−i−iii−i-111-1-111-1
χ291111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-11-11-1-111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii−iii−i-111-11-1-11
χ301111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-11-11-1-111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−ii−i−ii1-1-11-111-1
χ311111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-11-11-1-111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii−iii−i1-1-11-111-1
χ321111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-11-11-1-111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−ii−i−ii-111-11-1-11
χ33222222222222222222222222222-2-2-2-222222222-2-2-2-2-2-22222-2-2-22-2-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000
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χ35222222222222222222222-2-222-2-2-2-2-2-2-2-22222-2-222-2-2-2-22222222-2-2-22-2-2-2-222-2-22200000000000000000000000000000000000000000000
χ36222222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222-22222222-2-222-2-200000000000000000000000000000000000000000000
χ37222222222222-2-2-2-22-2-2-2-22222222222220000-2-222-2-2-2-20000-2-22-200-2000000000022-2-222-2-2000000002-22-2000000000000000000000000
χ38222222222222-2-2-2-22-2-2-2-22222222222220000-2-222-2-2-2-20000-2-22-200-20000000000-2-222-2-22200000000-22-22000000000000000000000000
χ39222222222222-2-2-2-22-2-2-2-2222222-2-2-2-2220000-2-2-2-22222000022-2-200200000000000000000022-2-222-2-200002-22-200000000000000000000
χ40222222222222-2-2-2-22-2-2-2-2222222-2-2-2-2220000-2-2-2-22222000022-2-2002000000000000000000-2-222-2-2220000-22-2200000000000000000000
χ41222222222222-2-2-2-22-2-2-2-2-2-222-2-22222-2-2000022-2-2-2-2-2-2000022-22002000000000022-2-222-2-200000000-22-22000000000000000000000000
χ42222222222222-2-2-2-22-2-2-2-2-2-222-2-22222-2-2000022-2-2-2-2-2-2000022-220020000000000-2-222-2-222000000002-22-2000000000000000000000000
χ43222222222222-2-2-2-22-2-2-2-2-2-222-2-2-2-2-2-2-2-20000222222220000-2-22200-200000000000000000022-2-222-2-20000-22-2200000000000000000000
χ44222222222222-2-2-2-22-2-2-2-2-2-222-2-2-2-2-2-2-2-20000222222220000-2-22200-2000000000000000000-2-222-2-22200002-22-200000000000000000000
χ452222222222-2-22222-2-2-2-2-222-2-222-2-222-2-222-2-22222-2-22222-2-222-2-2-22-2-2222-2-2-2-22200000000000000000000000000000000000000000000
χ462222222222-2-22222-2-2-2-2-222-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-22-2-22-2-2-22222-2-200000000000000000000000000000000000000000000
χ472222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-222-22-2-22222-2-200000000000000000000000000000000000000000000
χ482222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-222-2-2222-222-222-2-2-2-22200000000000000000000000000000000000000000000
χ492222222222-2-2-2-2-2-2-2222222-2-22222-2-2-2-20000-2-2-2-2-2-2220000222200-200000000002i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i000000000000000000000000
χ502222222222-2-2-2-2-2-2-2222222-2-22222-2-2-2-20000-2-2-2-2-2-2220000222200-20000000000−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i000000000000000000000000
χ512222222222-2-2-2-2-2-2-2222222-2-222-2-222-2-20000-2-22222-2-20000-2-2-220020000000000000000002i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i00000000000000000000
χ522222222222-2-2-2-2-2-2-2222222-2-222-2-222-2-20000-2-22222-2-20000-2-2-22002000000000000000000−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i00000000000000000000
χ532222222222-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-22200002222-2-2220000-2-2-2-200200000000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i000000000000000000000000
χ542222222222-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-22200002222-2-2220000-2-2-2-20020000000000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i000000000000000000000000
χ552222222222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000022-2-222-2-20000222-200-20000000000000000002i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i00000000000000000000
χ562222222222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000022-2-222-2-20000222-200-2000000000000000000−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i00000000000000000000
χ57444444-4-4-4-4440000-40000004-400000000000000004-44-400000000000000000000000000000004-4004-40000000000000000000000000000
χ58444444-4-4-4-4440000-40000004-400000000000000004-44-40000000000000000000000000000000-4400-440000000000000000000000000000
χ59444444-4-4-4-4440000-40000004-40000000000000000-44-44000000000000000000000000000004-4004-4000000000000000000000000000000
χ60444444-4-4-4-4440000-40000004-40000000000000000-44-4400000000000000000000000000000-4400-44000000000000000000000000000000
χ61444444-4-4-4-4-4-400004000000-4400000000000000004-4-4400000000000000000000000000000004i−4i00−4i4i0000000000000000000000000000
χ62444444-4-4-4-4-4-400004000000-4400000000000000004-4-440000000000000000000000000000000−4i4i004i−4i0000000000000000000000000000
χ63444444-4-4-4-4-4-400004000000-440000000000000000-444-4000000000000000000000000000004i−4i00−4i4i000000000000000000000000000000
χ64444444-4-4-4-4-4-400004000000-440000000000000000-444-400000000000000000000000000000−4i4i004i−4i000000000000000000000000000000
χ654444-4-444-4-4440000-4000000-44004-44-400000000000000000000000000000000000004-4004-4000000000000000000000000000000000000
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χ734444-4-4-4-4444444-4-4444-4-400-4-40000000000000000000000000000440-4-40000000000000000000000000000000000000000000000000000
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χ774444-4-4-4-444-4-444-4-4-4-4-444004400000000000000000000000000004-40-440000000000000000000000000000000000000000000000000000
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χ804444-4-4-4-444-4-4-4-444-444-4-4004400000000-4-4440000000044-4-40000000000000000000000000000000000000000000000000000000000000
χ814-4-444-44-4-44004-44-400000000000000000004-4004-40000004-44-40000000004-4000000000000000000000000000000000000000000000000
χ824-4-444-44-4-44004-44-400000000000000000004-400-440000004-4-44000000000-44000000000000000000000000000000000000000000000000
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χ844-4-444-44-4-44004-44-40000000000000000000-4400-44000000-44-440000000004-4000000000000000000000000000000000000000000000000
χ854-4-444-44-4-4400-44-44000000000000000004-400004-400004-400-4400000000000004-400000000000000000000000000000000000000000000
χ864-4-444-44-4-4400-44-44000000000000000004-40000-4400004-4004-40000000000000-4400000000000000000000000000000000000000000000
χ874-4-444-44-4-4400-44-4400000000000000000-4400004-40000-4400-440000000000000-4400000000000000000000000000000000000000000000
χ884-4-444-44-4-4400-44-4400000000000000000-440000-440000-44004-400000000000004-400000000000000000000000000000000000000000000
χ894-4-44-44-44-44004-4-44000004-4004-40000004-4004-4000000-44000000000004-400000000000000000000000000000000000000000000000000
χ904-4-44-44-44-44004-4-44000004-4004-4000000-44004-40000004-400000000000-4400000000000000000000000000000000000000000000000000
χ914-4-44-44-44-44004-4-4400000-4400-440000004-400-44000000-4400000000000-4400000000000000000000000000000000000000000000000000
χ924-4-44-44-44-44004-4-4400000-4400-44000000-4400-440000004-4000000000004-400000000000000000000000000000000000000000000000000
χ934-4-44-44-44-4400-444-4000004-4004-4000000004-4-4400000000-4400000000000004-40000000000000000000000000000000000000000000000
χ944-4-44-44-44-4400-444-4000004-4004-400000000-44-44000000004-40000000000000-440000000000000000000000000000000000000000000000
χ954-4-44-44-44-4400-444-400000-4400-44000000004-44-400000000-440000000000000-440000000000000000000000000000000000000000000000
χ964-4-44-44-44-4400-444-400000-4400-4400000000-444-4000000004-400000000000004-40000000000000000000000000000000000000000000000
χ9788-8-80000008-80000000004400-4-400004-40000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ9888-8-80000008-80000000004400-4-400004-4000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ9988-8-80000008-8000000000-4-400440000-440000000000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ10088-8-80000008-8000000000-4-400440000-44000000000000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ10188-8-8000000-880000000004400-4-40000-440000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ10288-8-8000000-880000000004400-4-40000-44000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ10388-8-8000000-88000000000-4-4004400004-40000000000000000000000000000000000000000000000000000000002-2-22-222-2000000000000
χ10488-8-8000000-88000000000-4-4004400004-4000000000000000000000000000000000000000000000000000000000-222-22-2-22000000000000
χ1058-8-888-8-888-800000008-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-888-8-888-80000000-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-888-88-800000008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-88-80000000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-1616-16000000000000000008-800-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1616-1600000000000000000-88008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000

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