Finite Group Databasebeta

← Group #72248835

Character table — Group #72248835

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ7111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111
χ8111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-11-111-1-1
χ911111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1011111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
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χ974-4-444-4-4-444-24-44-444-4-422-2-2-2220000-222-22-22-22-2-22000000000000000000000000000000000000000000000000000000−232323−2300000000000000000000
χ984-4-444-4-4-444-2-44-44-4-44422-222-2-20000-222-22-2-22-222-200000000000000000000000000004-4000000000000000000000000-22-2200000000000000000000
χ994-4-444-4-4-444-2-44-44-4-44422-222-2-20000-222-22-2-22-222-20000000000000000000000000000-440000000000000000000000002-22-200000000000000000000
χ1004-4-44-44-44-44444-4-44-44-4-4-4444-4-40000-444-4-444-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-44-244-4-44-44-422-2-2-22200002-2-222-2-222-22-20000000000000000000000000000000000000000000000000023−23−2323000000000000000000000000
χ1024-4-44-44-44-44-244-4-44-44-422-2-2-22200002-2-222-2-222-22-200000000000000000000000000000000000000000000000000−232323−23000000000000000000000000
χ1034-4-44-44-44-44-2-4-444-44-4422-222-2-200002-2-222-22-2-22-22000000000000000000000000004-40000000000000000000000-22-22000000000000000000000000
χ1044-4-44-44-44-44-2-4-444-44-4422-222-2-200002-2-222-22-2-22-2200000000000000000000000000-4400000000000000000000002-22-2000000000000000000000000
χ1054-4-44-4-4444-4-24444-4-4-4-422-2-2-22244-4-42-22-2-22-2-2-222200004-40000-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-4-4444-4-24444-4-4-4-422-2-2-222-4-4442-22-2-22-2-2-22220000-44000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000
χ1074-4-44-4-4444-4-2-4-4-4-4444422-222-2-244-4-42-22-2-22222-2-2-20000-440000-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ1084-4-44-4-4444-4-2-4-4-4-4444422-222-2-2-4-4442-22-2-22222-2-2-200004-4000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000
χ10988-8-80000008000000008-8-800004-44-400000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ11088-8-80000008000000008-8-80000-44-440000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8000000-400000000-44443−4343−434-44-40000000000000000000000-22-2223−2323−23000000000000000000000000000000000000000000000000000000000000
χ11288-8-8000000-400000000-44443−4343−43-44-4400000000000000000000002-22-2−2323−2323000000000000000000000000000000000000000000000000000000000000
χ11388-8-8000000-400000000-444−4343−43434-44-40000000000000000000000-22-22−2323−2323000000000000000000000000000000000000000000000000000000000000
χ11488-8-8000000-400000000-444−4343−4343-44-4400000000000000000000002-22-223−2323−23000000000000000000000000000000000000000000000000000000000000
χ1158-88-8000000800000000-88-800004-4-4400000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8000000800000000-88-80000-444-40000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8000000-4000000004-4443−43−43434-4-440000000000000000000000-222-223−23−2323000000000000000000000000000000000000000000000000000000000000
χ1188-88-8000000-4000000004-4443−43−4343-444-400000000000000000000002-2-22−232323−23000000000000000000000000000000000000000000000000000000000000
χ1198-88-8000000-4000000004-44−434343−434-4-440000000000000000000000-222-2−232323−23000000000000000000000000000000000000000000000000000000000000
χ1208-88-8000000-4000000004-44−434343−43-444-400000000000000000000002-2-2223−23−2323000000000000000000000000000000000000000000000000000000000000

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