Finite Group Databasebeta

← Group #72302342

Character table — Group #72302342

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111111122222222222222222222444444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222444422222222224444444444224444444444444444444444444444444444222222224444444444444444888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ10111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ12111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ13111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ14111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ15111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1811111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ1911111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-1111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ2011111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ2111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ2211111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ2311111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ2411111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ2511111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ2611111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ2711111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ2811111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ2911111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ3011111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ3111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ3211111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
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χ36222222222222-2-222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
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χ382222222222-2-222-2-2-2-2-2-222-2-222-2-22-222-2-222-2-22-222-2-22-22-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ392222222222-2-222-2-2-2-2-2-222-2-222-2-22-2-2-222-2-222-22-2-2222-2-220000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
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χ5522222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ5622222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
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χ862222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222222-22-2-22-22-222-22-2-2-22-200000000000000000000-22-2200002-22-200000000000000000000000000000000
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χ964-4-4444-4-40000-44-444-4-440000-444-400000000000000000000000000-440000004-4000000000000000000000000000000000000000000000000
χ974-4-44-4-44400004-44-44-4-440000-44-44000000000000000000004-40000004-4000000000000000000000000000000000000000000000000000000
χ984-4-44-4-44400004-44-44-4-440000-44-4400000000000000000000-44000000-44000000000000000000000000000000000000000000000000000000
χ994-4-44-4-44400004-4-44-444-40000-444-400000000000000000000004-40000004-40000000000000000000000000000000000000000000000000000
χ1004-4-44-4-44400004-4-44-444-40000-444-40000000000000000000000-44000000-440000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4440000-444-4-44-4400004-44-4000000000000000000004-4000000-44000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-4440000-444-4-44-4400004-44-400000000000000000000-440000004-4000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-4440000-44-444-44-400004-4-4400000000000000000000004-4000000-440000000000000000000000000000000000000000000000000000
χ1044-4-44-4-4440000-44-444-44-400004-4-440000000000000000000000-440000004-40000000000000000000000000000000000000000000000000000
χ10588-8-88i−8i8i−8i008-800000000008i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88i−8i8i−8i00-880000000000−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8−8i8i−8i8i008-80000000000−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8−8i8i−8i8i00-8800000000008i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-88i−8i−8i8i8-800000000008i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88i−8i−8i8i-880000000000−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8−8i8i8i−8i8-80000000000−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8−8i8i8i−8i-8800000000008i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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