Finite Group Databasebeta

← Group #72330501

Character table — Group #72330501

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111111111111111111111111111111144444444888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222222222222222222222222222222222222222222222224444444444444444444444444444224444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ91111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1
χ101111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-11111
χ111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-1-1-11111
χ121111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ131111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-111
χ141111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ151111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1
χ161111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-111
χ1811111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1
χ1911111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ2011111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ2211111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111
χ2311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111111111
χ2411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1
χ2511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1
χ2611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-111
χ2711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ2811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1
χ2911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ3011111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1111111-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-1-1-1
χ3211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-11111
χ332222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222-2-2000000000000000022-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i00000000000000000000
χ342222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222-2-2000000000000000022-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i00000000000000000000
χ352222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2220000000000000000-2-222000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i00000000000000000000
χ362222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2220000000000000000-2-22200000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i00000000000000000000
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χ382222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222-2-20000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000−2i2i2i−2i00000000000000000000
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χ41222222-2-2-2-2222-222-2-22222-2-2-2-2-2-22-2-2-2000000000000000022-2-222-2-20000000000002i2i−2i−2i00002i−2i2i−2i00002i2i−2i−2i000000002-200000000000000000000002i−2i00
χ42222222-2-2-2-2222-222-2-22222-2-2-2-2-2-22-2-2-2000000000000000022-2-222-2-2000000000000−2i−2i2i2i0000−2i2i−2i2i0000−2i−2i2i2i000000002-20000000000000000000000−2i2i00
χ43222222-2-2-2-2222-222-2-22222-2-2-2-2-2-22-2-2-2000000000000000022-2-2-2-2220000000000002i2i−2i−2i00002i−2i2i−2i0000−2i−2i2i2i00000000-220000000000000000000000−2i2i00
χ44222222-2-2-2-2222-222-2-22222-2-2-2-2-2-22-2-2-2000000000000000022-2-2-2-222000000000000−2i−2i2i2i0000−2i2i−2i2i00002i2i−2i−2i00000000-2200000000000000000000002i−2i00
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χ46222222-2-2-2-2222-222-2-22222-2-2-2-2-2-22-2-2-20000000000000000-2-22222-2-2000000000000−2i−2i2i2i00002i−2i2i−2i00002i2i−2i−2i00000000-220000000000000000000000−2i2i00
χ47222222-2-2-2-2222-222-2-22222-2-2-2-2-2-22-2-2-20000000000000000-2-222-2-2220000000000002i2i−2i−2i0000−2i2i−2i2i00002i2i−2i−2i000000002-20000000000000000000000−2i2i00
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χ9444-4-4-44-444-44-44-4-44-44-44-4-44-4444-444-4-4-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-44-444-4-44-44-44-444-444-44-4-44-4-4-4444-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-4-44-444-4-44-44-44-444-444-44-4-44-4-4-444-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-444-444-44-44-4-44-4-4-4-44-4-444-44-4444-44-40000000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ984-444-444-44-44-4-44-4-4-4-44-4-444-44-4444-44-4000000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ994-444-444-44-4-444-4-4-4-4-4-444-4-44-4444-44-4400000000000000000000000000000000000000000000000000004-44-4000000000000000000000000000000000000
χ1004-444-444-44-4-444-4-4-4-4-4-444-4-44-4444-44-440000000000000000000000000000000000000000000000000000-44-44000000000000000000000000000000000000
χ1014-444-44-44-444-4-4-4-4-4444-4-44-44-44-4-444-440000000000000000000000000000000000000000000000004-44-40000000000000000000000000000000000000000
χ1024-444-44-44-444-4-4-4-4-4444-4-44-44-44-4-444-44000000000000000000000000000000000000000000000000-44-440000000000000000000000000000000000000000
χ1034-444-44-44-44-4444-4-444-444-44-44-4-4-4-4-44-400000000000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ1044-444-44-44-44-4444-4-444-444-44-44-4-4-4-4-44-40000000000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ1054-44-44-44-4-444-4-44-44-44-4444-4-44-44-4-44-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-44-44-44-4-444-4-44-44-44-4444-4-44-44-4-44-44-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-44-44-44-4-44-444-4-44-444-4-4-444-444-44-44-44-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-44-44-44-4-44-444-4-44-444-4-4-444-444-44-44-4-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-44-44-4-444-44-4-4-4-444-4-444444-44-44-4-44-40000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1104-44-44-4-444-44-4-4-4-444-4-444444-44-44-4-44-4000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1114-44-44-4-444-4-4444-444-44-4-4-4-4-44-4-4444-440000000000000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000
χ1124-44-44-4-444-4-4444-444-44-4-4-4-4-44-4-4444-44000000000000000000000000000000000000000000000000-444-40000000000000000000000000000000000000000
χ1134-4-44-4-4444444-4444-4-444-4-44-4-44-4-4-4-4-440000000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ1144-4-44-4-4444444-4444-4-444-4-44-4-44-4-4-4-4-44000000000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ1154-4-44-4-44444-4-44-444-4-4-4-444-444-4-4-4444-400000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44-4-44444-4-44-444-4-4-4-444-444-4-4-4444-40000000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-44444-4-444-444-4-44-4-44-4-4-4-44-44444-40000000000000000000000000000000000000000000000000000000000004-4000000000000000000000000000000
χ1184-4-4-44444-4-444-444-4-44-4-44-4-4-4-44-44444-4000000000000000000000000000000000000000000000000000000000000-44000000000000000000000000000000
χ1194-4-4-44444-4-4-4-44-44-4-4444-44444-4-44-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000004-4000000000000
χ1204-4-4-44444-4-4-4-44-44-4-4444-44444-4-44-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000-44000000000000
χ1214-4-4-444-4-44444-4-44-44-4-4-44-4444-44-44-4-440000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-444-4-44444-4-44-44-4-4-44-4444-44-44-4-44000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-4-444-4-444-4-4444-44-444-44-4-4-444-4-444-4000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ1244-4-4-444-4-444-4-4444-44-444-44-4-4-444-4-444-400000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000

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