Finite Group Databasebeta

← Group #14425409

Character table — Group #14425409

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222222244444444444444444444444444444448888888888888888888888888888888888888888881010101010102020202020202020202020202020202020202020202424242424242424484848484848120120120120
order122344556101022444466666101012121212121212121212151520202020303010101010202020202020202030303030303030303030606060606060606060606060606060606060606022446622444466666121212121212121212124488202020202020404040402488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1111-1-11111-1-1-1-1-1-11-11-1-1-1-1-11111-1-11-11-1
χ6111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1111-1-11111-1-1-1-1-1-1-11-111111-1-1-1-111-11-11
χ7111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-11111111-11-1-1-1-1-11111-1-1-11-11
χ8111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-1111111-11-111111-1-1-1-1111-11-1
χ911111111111-11-11-1-11-1-1111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-11-1-11-1-11111-1-111-1-1-1-11-1-11-1-1-1-111-1-1111-1-11
χ1011111111111-11-11-1-11-1-1111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-11-1-11-1-11111-1-111-1-1-1-1-111-11111-1-111-1-1-111-1
χ1111111111111-11-11-1-11-1-1111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-111-1-1-1-111-1-111111-1-11-1-1-1-111-1-111-111-1
χ1211111111111-11-11-1-11-1-1111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-111-1-1-1-111-1-11111-111-11111-1-111-1-11-1-11
χ1311111111111-1-1-1-1111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-111-1-1
χ1411111111111-1-1-1-1111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ1511111111111-1-1-1-1111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111
χ1611111111111-1-1-1-1111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ17222222−1+52−1−522−1+52−1−5222222222222−1+52−1−522222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520000000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ18222222−1+52−1−522−1+52−1−5222222222222−1+52−1−522222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52000000000000000000000000000-2-2-2-21−521−521+521+521−521+521−521+521−521+520000
χ19222222−1+52−1−522−1+52−1−522-22-2-2-2222-2-2−1+52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+520000000000000000000000000002-22-21−521−521+521+52−1+52−1−52−1+52−1−521−521+520000
χ20222222−1+52−1−522−1+52−1−522-22-2-2-2222-2-2−1+52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+52000000000000000000000000000-22-22−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−520000
χ21222222−1+52−1−522−1+52−1−52-22-22-2-22-2-222−1+52−1−5222-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000000000000000000000000002-2-221−521−521+521+52−1+52−1−521−521+52−1+52−1−520000
χ22222222−1+52−1−522−1+52−1−52-22-22-2-22-2-222−1+52−1−5222-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000000000000000000000000-222-2−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+520000
χ23222222−1+52−1−522−1+52−1−52-2-2-2-2222-2-2-2-2−1+52−1−5222-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+520000
χ24222222−1+52−1−522−1+52−1−52-2-2-2-2222-2-2-2-2−1+52−1−5222-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000-2-2221−521−521+521+521−521+52−1+52−1−52−1+52−1−520000
χ25222222−1−52−1+522−1−52−1+5222222222222−1−52−1+522222222222−1−52−1+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+52−1−52−1−52−1+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+520000000000000000000000000002222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ26222222−1−52−1+522−1−52−1+5222222222222−1−52−1+522222222222−1−52−1+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+52−1−52−1−52−1+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+52000000000000000000000000000-2-2-2-21+521+521−521−521+521−521+521−521+521−520000
χ27222222−1−52−1+522−1−52−1+522-22-2-2-2222-2-2−1−52−1+522222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−520000000000000000000000000002-22-21+521+521−521−52−1−52−1+52−1−52−1+521+521−520000
χ28222222−1−52−1+522−1−52−1+522-22-2-2-2222-2-2−1−52−1+522222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000-22-22−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+520000
χ29222222−1−52−1+522−1−52−1+52-22-22-2-22-2-222−1−52−1+5222-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+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+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000000000000000000000000002-2-221+521+521−521−52−1−52−1+521+521−52−1−52−1+520000
χ30222222−1−52−1+522−1−52−1+52-22-22-2-22-2-222−1−52−1+5222-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+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+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000000000000000000000000-222-2−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−520000
χ31222222−1−52−1+522−1−52−1+52-2-2-2-2222-2-2-2-2−1−52−1+5222-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+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+5200000000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−520000
χ32222222−1−52−1+522−1−52−1+52-2-2-2-2222-2-2-2-2−1−52−1+5222-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+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+52000000000000000000000000000-2-2221+521+521−521−521+521−52−1−52−1+52−1−52−1+520000
χ332222-2-22222200002-22000022-2-2000022-2-222-2-2-2-222000000002-22-22200000000-2-2-2-20000000022-2-222-2-222-2-22200002-220000-2-2000022-2-2000000000000000000
χ342222-2-22222200002-22000022-2-2000022-2-222-2-2-2-222000000002-22-22200000000-2-2-2-20000000022-2-222-2-2-2-222-2-20000-22-20000220000-2-222000000000000000000
χ352222-2-2222220000-222000022-2-20000-2-22222-2-2-2-22200000000-22-222200000000-2-2-2-200000000-2-222-2-22222-2-2220000-2220000-2-20000-2-222000000000000000000
χ362222-2-2222220000-222000022-2-20000-2-22222-2-2-2-22200000000-22-222200000000-2-2-2-200000000-2-222-2-222-2-222-2-200002-2-2000022000022-2-2000000000000000000
χ37222-12222-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ38222-12222-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2-2-2111111111111111000000000000000000
χ39222-12222-1222-22-2-2-2-1-1-11122-1-1-1-1111111-1-12222-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111112222-1-12-22-2-2-2-1-1-111-1-1-1-1111111000000000000000000
χ40222-12222-1222-22-2-2-2-1-1-11122-1-1-1-1111111-1-12222-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-2-2-2-211-22-2222111-1-11111-1-1-1-1-1-1000000000000000000
χ41222-12222-122-22-22-2-2-111-1-122-1-111-1-11111-1-12222-1-1-2-222-2-222-2-2-2-2-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111112222-1-1-22-22-2-2-111-1-1-1-111-1-11111000000000000000000
χ42222-12222-122-22-22-2-2-111-1-122-1-111-1-11111-1-12222-1-1-2-222-2-222-2-2-2-2-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-2-2-2-2112-22-2221-1-11111-1-111-1-1-1-1000000000000000000
χ43222-12222-122-2-2-2-222-1111122-1-11111-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-12222-1-1-2-2-2-222-11111-1-11111-1-1-1-1000000000000000000
χ44222-12222-122-2-2-2-222-1111122-1-11111-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2112222-2-21-1-1-1-111-1-1-1-11111000000000000000000
χ45222-1-2-222-12200002-2-1i3−i3i3−i32211i3−i3i3−i3-1-111-1-1-2-2-2-2-1-1000000002-22-2-1-1i3−i3i3−i3i3−i3i3−i31111i3−i3i3−i3i3−i3i3−i3-1-111-1-11122-2-2-1-100002-2-1i3−i3i3−i311i3−i3i3−i3-1-111000000000000000000
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χ1238-80800−2+25−2−25-82−252+2500000000000000000000000−2+25−2−2500002−252+250000000000000000000000000000000000000000000000000000000000000000000000000−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ140000000000
χ1248-80800−2−25−2+25-82+252−2500000000000000000000000−2−25−2+2500002+252−250000000000000000000000000000000000000000000000000000000000000000000000000−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ130000000000
χ1258-80800−2−25−2+25-82+252−2500000000000000000000000−2−25−2+2500002+252−2500000000000000000000000000000000000000000000000000000000000000000000000002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ130000000000
χ1268-80-400884-8-800000000000000000000000-4-400004400000000000000000000000000000000000000000000004i3−4i3000000000000000000000000000000000000000
χ1278-80-400884-8-800000000000000000000000-4-40000440000000000000000000000000000000000000000000000−4i34i3000000000000000000000000000000000000000
χ12816-160-800−4+45−4−4584−454+45000000000000000000000002−252+250000−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12916-160-800−4−45−4+4584+454−45000000000000000000000002+252−250000−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.