Finite Group Databasebeta

← Group #12980708

Character table — Group #12980708

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size112222222444444551010101122222224444445510101022444444488888810102020202244444448888881010202020224444444888888101020202044888888816161616161620204040404488888881616161616162020404040
order1244455101020202020202044222224441010101020202020202044222444442020202020202020202044444888884040404040404040404088888888884040404040404040404088888224441010101020202020202044222224441010101020202020202044222
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1
χ3111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1
χ4111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111
χ511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1
χ611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11
χ711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11
χ811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1
χ922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000
χ1022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000
χ11222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000
χ12222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000
χ1322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000
χ1422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000
χ1522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000
χ1622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000
χ172-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i000
χ182-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i000
χ194-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+500000000000
χ204-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−500000000000
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ23111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-111
χ24111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-11111111-1-1
χ2511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1-1-11-11-1-1-1-111-1-111-1-11-11-1-11-11-1-1-1-111-1-111-1-11-11
χ2611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11-1-11-11-1-1-1-111-1-11111-11-1-1-11-11-1-1-1-111-1-11111-11-1
χ2711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11-1-111-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-111-1
χ2811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1-1-111-1-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11111-1-111-1-11
χ2922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000-2-2-2-2-21−521+521−521+521−521+521−521+521−521+5200000-2-2-2-2-21−521+521−521+521−521+521−521+521−521+5200000
χ3022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000-2-2-2-2-21+521−521+521−521+521−521+521−521+521−5200000-2-2-2-2-21+521−521+521−521+521−521+521−521+521−5200000
χ31222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000-2-2-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000-2-2-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000
χ32222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000-2-2-2221+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000-2-2-2221+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000
χ3322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000-2-22-221−521+521−521+52−1+52−1−521−521+52−1+52−1−5200000-2-22-221−521+521−521+52−1+52−1−521−521+52−1+52−1−5200000
χ3422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000-2-22-221+521−521+521−52−1−52−1+521+521−52−1−52−1+5200000-2-22-221+521−521+521−52−1−52−1+521+521−52−1−52−1+5200000
χ3522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000-2-222-21−521+521−521+52−1+52−1−52−1+52−1−521−521+5200000-2-222-21−521+521−521+52−1+52−1−52−1+52−1−521−521+5200000
χ3622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000-2-222-21+521−521+521−52−1−52−1+52−1−52−1+521+521−5200000-2-222-21+521−521+521−52−1−52−1+52−1−52−1+521+521−5200000
χ372-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i000-22000-2-222000000−2i2i000-22000-2-222000000−2i2i000
χ382-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i000-22000-2-2220000002i−2i000-22000-2-2220000002i−2i000
χ394-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+500000000000-440001−51+5−1+5−1−500000000000-440001−51+5−1+5−1−500000000000
χ404-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−500000000000-440001+51−5−1−5−1+500000000000-440001+51−5−1−5−1+500000000000
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
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χ13544-4-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−500000-4-444-41−51+51−51+5−1+5−1−5−1+5−1−51−51+50000000000000000000000000−22−222222−22ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39000002222−22−2222−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000000000000000
χ13644-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+500000-4-444-41+51−51+51−5−1−5−1+5−1−5−1+51+51−50000000000000000000000000−22−222222−22−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37000002222−22−2222ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000000000000
χ1374-400044-4-40000004i−4i000-44000-4-444000000−4i4i00000000000000000000000−2222000−22−222222000000−2i22i200022−220002222−22−220000002i2−2i20000000000000000000000000000000000000000000
χ1384-400044-4-4000000−4i4i000-44000-4-4440000004i−4i00000000000000000000000−2222000−22−2222220000002i2−2i200022−220002222−22−22000000−2i22i20000000000000000000000000000000000000000000
χ1398-8000−2+25−2−252−252+2500000000000-880002−252+25−2+25−2−250000000000000000000000000000000−42420002ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ390000000000042−42000−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000000
χ1408-8000−2−25−2+252+252−2500000000000-880002+252−25−2−25−2+250000000000000000000000000000000−4242000−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ370000000000042−420002ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.