Finite Group Databasebeta

← Group #72312498

Character table — Group #72312498

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111111112222444444444444444444444444888888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222444422442222222222444444444488884444444444444444444488888888888888888888888888888844444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ91111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ121111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ131111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ1711-1-111-1-11-1-1111-1-111-1-11-111-1-1-111-1-1111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−i111-1-1-111-1-1ii−i−iii−i−ii−ii−i1-11-11-11-1
χ1811-1-111-1-11-1-1111-1-111-1-11-111-1-1-111-1-1111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−i111-1-1-111-1-1−i−iii−i−iii−ii−ii-11-11-11-11
χ1911-1-111-1-11-1-1111-1-111-1-11-111-1-1-111-1-1111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iii111-1-1-111-1-1ii−i−iii−i−ii−ii−i-11-11-11-11
χ2011-1-111-1-11-1-1111-1-111-1-11-111-1-1-111-1-1111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iii111-1-1-111-1-1−i−iii−i−iii−ii−ii1-11-11-11-1
χ2111-1-111-1-11-1-1111-1-111-1-11-111-1-1-111-1-11-1-111ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-111−i−iii−i−iii−i−iii−i−iii-1-1-1111-1-111ii−i−i−i−iiii−i−ii1-1-111-1-11
χ2211-1-111-1-11-1-1111-1-111-1-11-111-1-1-111-1-11-1-111ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-111−i−iii−i−iii−i−iii−i−iii-1-1-1111-1-111−i−iiiii−i−i−iii−i-111-1-111-1
χ2311-1-111-1-11-1-1111-1-111-1-11-111-1-1-111-1-11-1-111−i−iii−i−iii11-1-1−i−iii−i−iii-1-111ii−i−iii−i−iii−i−iii−i−i-1-1-1111-1-111ii−i−i−i−iiii−i−ii-111-1-111-1
χ2411-1-111-1-11-1-1111-1-111-1-11-111-1-1-111-1-11-1-111−i−iii−i−iii11-1-1−i−iii−i−iii-1-111ii−i−iii−i−iii−i−iii−i−i-1-1-1111-1-111−i−iiiii−i−i−iii−i1-1-111-1-11
χ2511-1-111-1-11-1-1111-1-1-1-1111-111-1-1-1-1-111111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iii111-1-1-1-1-111ii−i−iii−i−i−ii−ii1-11-1-11-11
χ2611-1-111-1-11-1-1111-1-1-1-1111-111-1-1-1-1-111111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iii111-1-1-1-1-111−i−iii−i−iiii−ii−i-11-111-11-1
χ2711-1-111-1-11-1-1111-1-1-1-1111-111-1-1-1-1-111111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i111-1-1-1-1-111ii−i−iii−i−i−ii−ii-11-111-11-1
χ2811-1-111-1-11-1-1111-1-1-1-1111-111-1-1-1-1-111111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i111-1-1-1-1-111−i−iii−i−iiii−ii−i1-11-1-11-11
χ2911-1-111-1-11-1-1111-1-1-1-1111-111-1-1-1-1-1111-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii11-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-111111-1-1ii−i−i−i−iii−iii−i1-1-11-111-1
χ3011-1-111-1-11-1-1111-1-1-1-1111-111-1-1-1-1-1111-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii11-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-111111-1-1−i−iiiii−i−ii−i−ii-111-11-1-11
χ3111-1-111-1-11-1-1111-1-1-1-1111-111-1-1-1-1-1111-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i11-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-111111-1-1ii−i−i−i−iii−iii−i-111-11-1-11
χ3211-1-111-1-11-1-1111-1-1-1-1111-111-1-1-1-1-1111-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i11-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-111111-1-1−i−iiiii−i−ii−i−ii1-1-11-111-1
χ332222222222222-22-20000-2-2-2-22-2-20000222220000222200000000-2-2-2-200000000-2-2-2-2000022222-2-22-2-2000000000000000000000000
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χ362222222222222-22-20000-2-2-2-22-2-200002-2-2-2-20000-2-2-2-200000000222200000000-2-2-2-200002222-222-222000000000000000000000000
χ37222222222222-22-2-22222-222-2-22-22222-2222200000000-2-2-2-200000000-2-2-2-20000000000000000-22-2-22-2222200000000000000000000
χ38222222222222-22-2-22222-222-2-22-22222-2-2-2-2-200000000-2-2-2-200000000222200000000000000002-222-22-2-2-2-200000000000000000000
χ39222222222222-22-2-2-2-2-2-2-222-2-22-2-2-2-2-2-222220000000022220000000022220000000000000000-22-2-22-2-2-2-2-200000000000000000000
χ40222222222222-22-2-2-2-2-2-2-222-2-22-2-2-2-2-2-2-2-2-2-200000000222200000000-2-2-2-200000000000000002-222-22222200000000000000000000
χ41222222222222-2-2-2200002-2-22-2-220000-22222222200000000-2-2-2-200000000-2-2-2-2000022220000-2-22-2-22000000000000000000000000
χ42222222222222-2-2-2200002-2-22-2-220000-22222-2-2-2-20000000022220000000022220000-2-2-2-20000-2-22-2-22000000000000000000000000
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χ44222222222222-2-2-2200002-2-22-2-220000-2-2-2-2-2-2-2-2-200000000222200000000-2-2-2-200002222000022-222-2000000000000000000000000
χ452222-2-2-2-222-2-2222-22222-22-22-2-22-2-2-2-2-20000000000002-22-20000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ462222-2-2-2-222-2-2222-22222-22-22-2-22-2-2-2-2-20000000000002-22-2000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ472222-2-2-2-222-2-2222-2-2-2-2-2-22-22-2-222222-2000000000000-22-220000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ482222-2-2-2-222-2-2222-2-2-2-2-2-22-22-2-222222-2000000000000-22-22000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ492222-2-2-2-222-2-22-22200002-22-2-22-20000-200002-22-2000000002-22-200002i−2i2i−2i00002i−2i2i−2i0000−2i2i−2i2i0000002i−2i2i−2i00000000000000000000
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χ522222-2-2-2-222-2-22-22200002-22-2-22-20000-20000-22-2200000000-22-220000−2i2i−2i2i00002i−2i2i−2i0000−2i2i−2i2i000000−2i2i−2i2i00000000000000000000
χ532222-2-2-2-222-2-2-22-22222222-2-22-2-2-2-2-2-2200002-22-22-22-2-22-22-22-222-22-200000000000000000000000000000000000000000000000000
χ542222-2-2-2-222-2-2-22-22222222-2-22-2-2-2-2-2-220000-22-22-22-22-22-222-22-2-22-2200000000000000000000000000000000000000000000000000
χ552222-2-2-2-222-2-2-22-22-2-2-2-222-2-22-2-22222200002-22-2-22-222-22-2-22-22-22-2200000000000000000000000000000000000000000000000000
χ562222-2-2-2-222-2-2-22-22-2-2-2-222-2-22-2-2222220000-22-222-22-22-22-22-22-22-22-200000000000000000000000000000000000000000000000000
χ572222-2-2-2-222-2-2-2-2-2-20000-2-22222200002000000002-22-200000000-22-222i−2i2i−2i−2i2i−2i2i00002i−2i2i−2i0000000000−2i2i−2i2i00000000000000000000
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χ6322-2-222-2-22-2-222-2-220000-22-2-2-22200002-2-22200002i2i−2i−2i00000000−2i−2i2i2i000000002i2i−2i−2i0000−2i−2i2i2i-2222-2-2000000000000000000000000
χ6422-2-222-2-22-2-222-2-220000-22-2-2-22200002-2-2220000−2i−2i2i2i000000002i2i−2i−2i00000000−2i−2i2i2i00002i2i−2i−2i-2222-2-2000000000000000000000000
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χ7622-2-2-2-2222-22-222-22-2-222-2-2-2222-222-2-2-2000000000000-222-2000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000
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χ7822-2-2-2-2222-22-22-2-2-20000222-22-220000-200002i−2i−2i2i000000002i−2i−2i2i0000−2i2i2i−2i00002-2-220000-222-2000000−2i2i2i−2i00000000000000000000
χ7922-2-2-2-2222-22-22-2-2-20000222-22-220000-20000−2i2i2i−2i00000000−2i2i2i−2i00002i−2i−2i2i00002-2-220000-222-20000002i−2i−2i2i00000000000000000000
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χ8122-2-2-2-2222-22-2-222-222-2-22-2-2-2-222-2-222200002i−2i−2i2i2i−2i−2i2i-222-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000
χ8222-2-2-2-2222-22-2-222-222-2-22-2-2-2-222-2-22220000−2i2i2i−2i−2i2i2i−2i-222-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ8322-2-2-2-2222-22-2-222-2-2-2222-2-2-2-22222-2-2200002i−2i−2i2i−2i2i2i−2i2-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ8422-2-2-2-2222-22-2-222-2-2-2222-2-2-2-22222-2-220000−2i2i2i−2i2i−2i−2i2i2-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000000000
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χ894444-4-4-4-4-4-444000000000000000000004-44-4000000000000000000000000000000000000000000000000002-22-22-22-2000000000000
χ904444-4-4-4-4-4-444000000000000000000004-44-400000000000000000000000000000000000000000000000000-22-22-22-22000000000000
χ914444-4-4-4-4-4-44400000000000000000000-44-44000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ924444-4-4-4-4-4-44400000000000000000000-44-4400000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ9344-4-4-4-444-44-44000000000000000000004-4-44000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ9444-4-4-4-444-44-44000000000000000000004-4-4400000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ9544-4-4-4-444-44-4400000000000000000000-444-4000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ9644-4-4-4-444-44-4400000000000000000000-444-400000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ9788888888-8-8-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-888-8-8-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-88i−8i8i−8i000000004-44-400000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-88i−8i8i−8i00000000-44-440000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8−8i8i−8i8i000000004-44-40000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8−8i8i−8i8i00000000-44-4400000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-888i−8i−8i8i000000004-4-4400000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888i−8i−8i8i00000000-444-40000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88−8i8i8i−8i000000004-4-440000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88−8i8i8i−8i00000000-444-400000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000

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