Finite Group Databasebeta

← Group #72302556

Character table — Group #72302556

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121
size11112222222222222222444444444444444444444444444444488888888888888888888888888888888888888888888888816161616161616161616161616163232323232323232
order1222222222444444444422222222222222222222444444444442222222222222244444444444444444488888888888888882244444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-111-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1111111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-11111-1-1-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-111-11111-1-1-1-111-1-1-1-111
χ171111111111111-1-111111-1-1-1-11111-1-1-1-111111111-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-11-11-11-11-1
χ181111111111111-1-111111-1-1-1-11111-1-1-1-111111111-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-11-11-11-11
χ191111111111111-1-111111-1-1-1-11111-1-1-1-111111111-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-111-1-1-11-11-11-11
χ201111111111111-1-111111-1-1-1-11111-1-1-1-111111111-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-1-1111-11-11-11-1
χ211111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-1111-11-1-11-11
χ221111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-11111-1-1-11-111-11-1
χ231111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-111-11-111-11-1
χ241111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-11-11-1-11-11
χ251111111111111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-1111-1-111-1-11
χ261111111111111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-111-1-111-1-1-111-1-111-1
χ271111111111111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-111-1-111-111-1-111-1
χ281111111111111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111-111-1-111-1-11-1-111-1-11
χ291111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1111-1-11111-1-11-1-11-111-1
χ301111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-111-1-1-1-111-111-11-1-11
χ311111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-1-1-111-11-1-11
χ321111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-1111-1-11-111-1
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χ902-2-22-222-2-22-2-2200-222-2200002-2-2200002-2-222-2-22000-222-200002-20000-2200-2200000000-2200002-200-2200002-2-220000-22-220000000000000000000000
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χ952-2-22-222-2-22-2-2200-222-220000-222-20000-222-2-222-20002-2-2200002-200002-200-2200000000-220000-2200-2200002-2-2200002-22-20000000000000000000000
χ962-2-22-222-2-22-2-2200-222-220000-222-20000-222-2-222-20002-2-2200002-20000-22002-200000000-2200002-2002-20000-222-20000-22-220000000000000000000000
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χ982-2-22-22-222-2-22-200-22-222000000002-2-222-2-22-222-20000000-222-2002-2-2200002-20000000000-222-20000-22-222-200000000-222-20000000000000000000000
χ992-2-22-22-222-2-22-200-22-222000000002-2-22-222-22-2-220000000-222-200-222-20000-2200000000002-2-2200002-2-222-200000000-222-20000000000000000000000
χ1002-2-22-22-222-2-22-200-22-222000000002-2-22-222-22-2-220000000-222-200-22-2200002-200000000002-22-20000-222-2-22000000002-2-220000000000000000000000
χ1012-2-22-22-222-2-22-200-22-22200000000-222-22-2-22-222-200000002-2-2200-222-200002-200000000002-2-220000-222-2-2200000000-222-20000000000000000000000
χ1022-2-22-22-222-2-22-200-22-22200000000-222-22-2-22-222-200000002-2-2200-22-220000-2200000000002-22-200002-2-222-2000000002-2-220000000000000000000000
χ1032-2-22-22-222-2-22-200-22-22200000000-222-2-222-22-2-2200000002-2-22002-22-200002-20000000000-22-220000-22-222-2000000002-2-220000000000000000000000
χ1042-2-22-22-222-2-22-200-22-22200000000-222-2-222-22-2-2200000002-2-22002-2-220000-220000000000-222-200002-22-2-2200000000-222-20000000000000000000000
χ105444444-4-4-4-4-44444-4-444-4-4-44400000000000000004-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ106444444-4-4-4-4-444-4-4-4-444-444-4-40000000000000000-444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074444-4-444-4-4-4444444-4-4-4-44-440000000000000000-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084444-4-444-4-4-444-4-444-4-4-44-44-400000000000000004-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-444-44-44-44-4400-44-44-4000000004-4-440000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-444-44-44-44-4400-44-44-400000000-444-4000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-444-4-44-4444-400-444-4-400004-4-440000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-444-4-44-4444-400-444-4-40000-444-4000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-444-4-4444-4004-4-44-400004-44-4000000000000000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-444-4-4444-4004-4-44-40000-44-440000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44-44-444-44-44004-44-4-4000000004-44-4000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44-44-444-44-44004-44-4-400000000-44-440000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-80000000008i−8i0000000000000000000000000000000000000000000000004-44i−4i000000000000000000000000000000000000000000000000000000
χ11888-8-80000000008i−8i000000000000000000000000000000000000000000000000-44−4i4i000000000000000000000000000000000000000000000000000000
χ11988-8-8000000000−8i8i0000000000000000000000000000000000000000000000004-4−4i4i000000000000000000000000000000000000000000000000000000
χ12088-8-8000000000−8i8i000000000000000000000000000000000000000000000000-444i−4i000000000000000000000000000000000000000000000000000000
χ12116-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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