Finite Group Databasebeta

← Group #14425730

Character table — Group #14425730

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222222244444444444444444444444444444448888888888888888888888888888888888888888881010101010102020202020202020202020202020202020202020202424242424242424484848484848120120120120
order1222235561010222444666666666101010101010121212121212151530301010101010102020202020203030303030303030303030303030303030306060606060606060606060602222662224446666666661212121212124444202020202020202020202444
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
χ5111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ6111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-1111111-1-1111111-1-1-1-1-1-111
χ8111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1111111-1-1
χ911111111111-11-1-11-1111-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-1111-1-111-1-1-1-111-1-11-11-11111-1-111-1-11-11-1
χ1011111111111-11-1-11-1111-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-1111-1-111-1-1-1-111-1-1-11-11-1-1-1-111-1-111-11-11
χ1111111111111-11-1-11-1111-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-1111-11-11111-1-111-1-1-11-11
χ1211111111111-11-1-11-1111-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-11-11-1-1-1-111-1-1111-11-1
χ1311111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11-1-11111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1111-1-11
χ1411111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11-1-11111-1-1-1-111-1-1-1-111-111-1-1-1-1-11111-1-1-111-1
χ1511111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-11-1-111111-1-1-1-111-111-1
χ1611111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1-111-1-1-1-1-11111-1-11-1-11
χ17222222−1−52−1+522−1−52−1+52222222222222222−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52222222222222222−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+522-2-22-2-222222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−520000
χ20222222−1−52−1+522−1−52−1+522-2-22-2-222222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000000000000-2-2221+521+521−521−521+521−52−1−52−1+52−1−52−1+520000
χ21222222−1−52−1+522−1−52−1+52-22-2-22-2222-2-222-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000002-22-2−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−520000
χ22222222−1−52−1+522−1−52−1+52-22-2-22-2222-2-222-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000-22-221+521+521−521−52−1−52−1+521+521−52−1−52−1+520000
χ23222222−1−52−1+522−1−52−1+52-2-22-2-22222-2-2-2-222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-222−1−52−1+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+521−521−521+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+520000000000000000000000000002-2-22−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+520000
χ24222222−1−52−1+522−1−52−1+52-2-22-2-22222-2-2-2-222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-222−1−52−1+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+521−521−521+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+52000000000000000000000000000-222-21+521+521−521−52−1−52−1+52−1−52−1+521+521−520000
χ25222222−1+52−1−522−1+52−1−52222222222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52222222222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−522-2-22-2-222222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+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+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+5200000000000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+520000
χ28222222−1+52−1−522−1+52−1−522-2-22-2-222222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+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+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+52000000000000000000000000000-2-2221−521−521+521+521−521+52−1+52−1−52−1+52−1−520000
χ29222222−1+52−1−522−1+52−1−52-22-2-22-2222-2-222-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000002-22-2−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+520000
χ30222222−1+52−1−522−1+52−1−52-22-2-22-2222-2-222-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000-22-221−521−521+521+52−1+52−1−521−521+52−1+52−1−520000
χ31222222−1+52−1−522−1+52−1−52-2-22-2-22222-2-2-2-222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-222−1+52−1−52−1+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+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000002-2-22−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−520000
χ32222222−1+52−1−522−1+52−1−52-2-22-2-22222-2-2-2-222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-222−1+52−1−52−1+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+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000-222-21−521−521+521+52−1+52−1−52−1+52−1−521−521+520000
χ3322222-122-122222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3422222-122-122222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2-2-2111111111111111000000000000000000
χ3522222-122-1222-2-22-2-2-1-1-1-1-11111222222-1-11111-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111112222-1-12-2-22-2-2-1-1-1-1-11111-1-11111000000000000000000
χ3622222-122-1222-2-22-2-2-1-1-1-1-11111222222-1-11111-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-211-222-22211111-1-1-1-111-1-1-1-1000000000000000000
χ3722222-122-122-22-2-22-2-1-1-111-1-11122222211-1-111-1-1-1-1-2-222-2-2-2-222-2-2-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111112222-1-1-22-2-22-2-1-1-111-1-11111-1-111000000000000000000
χ3822222-122-122-22-2-22-2-1-1-111-1-11122222211-1-111-1-1-1-1-2-222-2-2-2-222-2-2-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-2-2-2-2112-222-22111-1-111-1-1-1-111-1-1000000000000000000
χ3922222-122-122-2-22-2-22-1-1-11111-1-12222221111-1-1-1-1-1-1-2-2-2-222-2-2-2-222-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-12222-1-1-2-22-2-22-1-1-11111-1-11111-1-1000000000000000000
χ4022222-122-122-2-22-2-22-1-1-11111-1-12222221111-1-1-1-1-1-1-2-2-2-222-2-2-2-222-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-2-2-2-21122-222-2111-1-1-1-111-1-1-1-111000000000000000000
χ41222-2-222222200200-22-2-20000222-2-22-2-20000-2-222220000220000-2-22-2-22-2-200000000222200000000-2-2-2-222-2-22200200-22-2-20000220000-2-2000000000000000000
χ42222-2-222222200200-22-2-20000222-2-22-2-20000-2-222220000220000-2-22-2-22-2-200000000222200000000-2-2-2-2-2-222-2-200-2002-2220000-2-2000022000000000000000000
χ43222-2-222222200-20022-2-20000-2-22-2-22-2-200002222220000-2-20000222-2-22-2-200000000-2-2-2-200000000222222-2-22200-20022-2-20000-2-2000022000000000000000000
χ44222-2-222222200-20022-2-20000-2-22-2-22-2-200002222220000-2-20000222-2-22-2-200000000-2-2-2-2000000002222-2-222-2-200200-2-2220000220000-2-2000000000000000000
χ45222-2-2-122-12200200-2-111−i3i3−i3i3-1-12-2-22-2-2−i3i3−i3i311-1-1-1-10000220000-2-2-111-111−i3i3−i3i3−i3i3−i3i3-1-1-1-1−i3i3−i3i3−i3i3−i3i3111122-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i311000000000000000000
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χ1218-8000888-8-8-800000000000000000000000000088-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-80008−2−25−2+25-82+252−25000000000000000000000000000−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000
χ1238-80008−2−25−2+25-82+252−25000000000000000000000000000−2−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000
χ1248-80008−2+25−2−25-82−252+25000000000000000000000000000−2+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000
χ1258-80008−2+25−2−25-82−252+25000000000000000000000000000−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000
χ1268-8000-4884-8-8000000000000000000000000000-4-4440000000000000000000000000000000000000000000000−4i34i3000000000000000000000000000000000000000
χ1278-8000-4884-8-8000000000000000000000000000-4-44400000000000000000000000000000000000000000000004i3−4i3000000000000000000000000000000000000000
χ12816-16000-8−4−45−4+4584+454−450000000000000000000000000002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12916-16000-8−4+45−4−4584−454+450000000000000000000000000002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.