Finite Group Databasebeta

← Group #72319167

Character table — Group #72319167

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111122222222224444444444444444444444888888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222224444444422222222444444444444442222222224444444444444444444444444444444444444444422444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-1111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-1111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-1111111111111-1-111-1-1-1-111-111-1-111-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-1111111111111-1-111-1-1-1-111-111-1-111-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-1-111-1-111-1-111
χ111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-111-1-111-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11-111-1-1-1-111-1-111
χ121111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-111-1-111-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-11-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111111111-1-111111111-111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-11-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111111111-1-111111111-111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-111-1111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-11-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1111-1-111-1-1-1-111
χ17111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-111-1-111-1-11-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1111-11-1-1-11-11-11-11-11-11-1
χ18111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-111-1-111-1-11-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-11-1111-11-11-11-11-11-11
χ19111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111111-11-1-1-11-11-1-11-11-11-11
χ20111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-11-1111-11-111-11-11-11-1
χ21111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111-1-1111111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111111-11-1-1-1-11-111-11-1-11-11
χ22111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111-1-1111111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-11-11111-11-1-11-111-11-1
χ23111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-111111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1111-11-1-1-1-11-11-11-111-11-1
χ24111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-111111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-11-11111-11-11-11-1-11-11
χ25111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111-11-1-11-111-1-111-1-111-1-11
χ26111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-111-11-1-111-1-111-1-111-1
χ27111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-11-11-1-11-111-1-11-111-1-111-1
χ28111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-11-111-11-1-111-11-1-111-1-11
χ29111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-11-11-1-11-11-111-11-1-11-111-1
χ30111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1-11-111-11-11-1-11-111-11-1-11
χ31111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111-1-1-1-11111-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-11-1-11-11-111-1-111-11-1-11
χ32111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111-1-1-1-11111-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11-111-11-11-1-111-1-11-111-1
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χ36222222222222220000-2-2-2-2-2-2-2-2222200002220000-2-2-2-22-2-20000-2-20000-2-2-2-200000000000000002222222200000000000000000000
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χ392222222222-2-2-2-2000022-2-222-2-2-2-2-2-20000-2-2222-2-200002-220000-2222-2-2000000000000-2-2-2-222220000000000000000000000000000
χ402222222222-2-2-2-2000022-2-222-2-2-2-2-2-20000-2-22-2-22200002-220000-22-2-2220000000000002222-2-2-2-20000000000000000000000000000
χ412222222222-2-2-2-20000-2-2-2-2-2-2-2-2-2-222000022-2000022-2-2-222000022000022-2-20000000000000000-2-2-2-2222200000000000000000000
χ422222222222-2-2-2-20000-2-2-2-2-2-2-2-2-2-222000022-20000-2-222-2220000220000-2-22200000000000000002222-2-2-2-200000000000000000000
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χ442222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-2-220000000022-2-2-2222-2000000002222-2-2-2-2000000000000000000000000000000000000
χ45222222-2-2-2-22222000022-2-2-2-222-2-2220000-2-2222-2-20000-2-2200002-2-2-222000000000000-2-222-2-2220000000000000000000000000000
χ46222222-2-2-2-22222000022-2-2-2-222-2-2220000-2-22-2-2220000-2-2200002-222-2-200000000000022-2-222-2-20000000000000000000000000000
χ47222222-2-2-2-222220000-2-2-2-22222-2-2-2-2000022-2000022-2-22220000-2-20000-2-2220000000000000000-2-222-2-22200000000000000000000
χ48222222-2-2-2-222220000-2-2-2-22222-2-2-2-2000022-20000-2-2222220000-2-2000022-2-2000000000000000022-2-222-2-200000000000000000000
χ49222222-2-2-2-222222222-2-22222-2-2-2-2222222-2-2200000000-22-2-2-2-2-2-2200000000-2-222-2-222000000000000000000000000000000000000
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χ51222222-2-2-2-2-2-2-2-2000022-2-2-2-22222220000-2-2-22222000022-20000-22-2-2-2-2000000000000-2-22222-2-20000000000000000000000000000
χ52222222-2-2-2-2-2-2-2-2000022-2-2-2-22222220000-2-2-2-2-2-2-2000022-20000-22222200000000000022-2-2-2-2220000000000000000000000000000
χ53222222-2-2-2-2-2-2-2-20000-2-2-2-2222222-2-2000022200002222-2-2-20000220000-2-2-2-20000000000000000-2-22222-2-200000000000000000000
χ54222222-2-2-2-2-2-2-2-20000-2-2-2-2222222-2-200002220000-2-2-2-2-2-2-200002200002222000000000000000022-2-2-2-22200000000000000000000
χ55222222-2-2-2-2-2-2-2-22222-2-22222-2-22222-2-2-2-2-2-2-2000000002-22-2-2222-200000000-2-22222-2-2000000000000000000000000000000000000
χ56222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222222222-2-2-2000000002-2222-2-22-20000000022-2-2-2-222000000000000000000000000000000000000
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χ6822-2-22-22i2i−2i−2i000022-2-2-22-22−2i2i−2i2i002i−2i00002-20-2200-22000002i−2i0000−2i2i00−2i2i00-22−2i2i00002-22i−2i00002-22i−2i000000000000000000000000
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χ8222-2-22-2−2i−2i2i2i000022-2-22-2-22−2i2i2i−2i002i−2i0000-22000-2200-22000−2i2i0000002i−2i002i−2i2-2−2i2i00000000−2i2i2-20000−2i2i2-200000000000000000000
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χ8422-2-22-2−2i−2i2i2i000022-2-2-22-222i−2i2i−2i00−2i2i00002-20-2200-2200000−2i2i00002i−2i002i−2i00-222i−2i00002-2−2i2i00002-2−2i2i000000000000000000000000
χ8522-2-22-2−2i−2i2i2i0000-2-2222-2-22−2i2i2i−2i002i−2i0000-220002-200-220002i−2i000000−2i2i002i−2i-222i−2i000000002i−2i-220000−2i2i2-200000000000000000000
χ8622-2-22-2−2i−2i2i2i0000-2-2222-2-22−2i2i2i−2i002i−2i0000-22000-22002-20002i−2i0000002i−2i00−2i2i-222i−2i00000000−2i2i2-200002i−2i-2200000000000000000000
χ8722-2-22-2−2i−2i2i2i0000-2-222-22-222i−2i2i−2i00−2i2i00002-202-200-22000002i−2i0000−2i2i002i−2i002-2−2i2i0000-222i−2i00002-2−2i2i000000000000000000000000
χ8822-2-22-2−2i−2i2i2i0000-2-222-22-222i−2i2i−2i00−2i2i00002-20-22002-2000002i−2i00002i−2i00−2i2i002-2−2i2i00002-2−2i2i0000-222i−2i000000000000000000000000
χ894444-4-44-44-444-4-40000000000004-4000000000000000000000000000000000000000000000000000000000022-22-22-2-2000000000000
χ904444-4-44-44-444-4-40000000000004-40000000000000000000000000000000000000000000000000000000000-2-22-22-222000000000000
χ914444-4-44-44-4-4-444000000000000-4400000000000000000000000000000000000000000000000000000000002-2-222-2-22000000000000
χ924444-4-44-44-4-4-444000000000000-440000000000000000000000000000000000000000000000000000000000-222-2-222-2000000000000
χ934444-4-4-44-4444-4-4000000000000-44000000000000000000000000000000000000000000000000000000000022-2-2-2-222000000000000
χ944444-4-4-44-4444-4-4000000000000-440000000000000000000000000000000000000000000000000000000000-2-22222-2-2000000000000
χ954444-4-4-44-44-4-4440000000000004-400000000000000000000000000000000000000000000000000000000002-2-2-2222-2000000000000
χ964444-4-4-44-44-4-4440000000000004-40000000000000000000000000000000000000000000000000000000000-2222-2-2-22000000000000
χ9788-8-8-888i−8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-88−8i8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000008i−8i4-44-40000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8000000008i−8i-44-44000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800000000−8i8i4-44-4000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800000000−8i8i-44-440000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-880000008-8004-4-440000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-880000008-800-444-4000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88000000-88004-4-44000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88000000-8800-444-40000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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