Finite Group Databasebeta

← Group #12972259

Character table — Group #12972259

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size11112222222222444444444444444444444444444444444488881616161616161616202020204040404040401111222222222244444444444444444444444444444444448888161616161616161620202020404040404040
order1222445510101010101024888810101010202020202020202040404040404040404040404040404040224410101010202020204444444488222244101010101010101024888810101010202020202020202040404040404040404040404040404040224410101010202020204444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111111-11-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111111-11-1-1-1
χ61111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-11-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-11-1111
χ71111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-11-11-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-11-11-1-1
χ81111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11-11-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11-11-111
χ911111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-11-1-111-111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-11-1-111-1
χ1011111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-111-1-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-111-1-11
χ1111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-111-11-111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-111-11-1
χ1211111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-111-1-11-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-111-1-11-11
χ1311111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111-11-111-1-1-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111-11-111-1-1-11
χ1411111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-11-1-1111-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-11-1-1111-1
χ1511111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-11-11-1-1-111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-11-11-1-1-111-11
χ1611111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-11-1111-1-11-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-11-1111-1-11-1
χ17222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521+521−521+521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521+521−521+521−521+521−521+520000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-22-2−1+52−1−521−521+52−1+52−1−521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-22-2−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-22-221−521+52−1+52−1−521−521+52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-22-221−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1−52−1+52−1−521−521+521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2221−521+521−521+52−1+52−1−52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2221−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1−521−521+521−521+52−1+52−1−520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521+52−1+52−1−52−1+52−1−521−521+520000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ25222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ26222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521−521+521−521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521−521+521−521+521−521+521−520000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-22-2−1−52−1+521+521−52−1−52−1+521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-22-2−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22-221+521−52−1−52−1+521+521−52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22-221+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1+52−1−52−1+521+521−521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+521−521+521−52−1−52−1+52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22−1−52−1+521+521−521+521−52−1−52−1+520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-21+521−52−1−52−1+52−1−52−1+521+521−520000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-21+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ332222-2-2222222222-200002222-2-2-2-2-2-2-2-200000000000000000000000000002-2-220000002222-2-2222222222-200002222-2-2-2-2-2-2-2-200000000000000000000000000002-2-22000000
χ342222-2-2222222222-200002222-2-2-2-2-2-2-2-20000000000000000000000000000-222-20000002222-2-2222222222-200002222-2-2-2-2-2-2-2-20000000000000000000000000000-222-2000000
χ352222-2-222222222-220000-2-2-2-2-2-22222-2-2000000000000000000000000000022-2-20000002222-2-222222222-220000-2-2-2-2-2-22222-2-2000000000000000000000000000022-2-2000000
χ362222-2-222222222-220000-2-2-2-2-2-22222-2-20000000000000000000000000000-2-2220000002222-2-222222222-220000-2-2-2-2-2-22222-2-20000000000000000000000000000-2-222000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1).