Finite Group Databasebeta

← Group #14425682

Character table — Group #14425682

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1122222222244444444444444444444444444444445588888888888888888888888888888888888888888810101010101212202020202020202020202020202020202020202020242424242424244848484848486060120120120
order122223556101022244466666666610101010101012121212121215153030441010101010102020202020203030303030303030303030303030303030306060606060606060606060604441212222224446666661212121212121212124441010101020202020202044444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-111-1-1-1-111111-1-1-1-11-1-1111111-1-1-1-1111-1-1
χ6111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-11-1-111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-111
χ7111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-11111-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111
χ8111111111111-1-11-1-111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11111-111-1-1-1-1-1-11111111-1-1
χ911111111111-11-1-11-1111-1-111-1-1111111-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-11-1-11-1-1-111-1-1111-1-111-1-1-11-11111-1-111-1-111-11-1
χ1011111111111-11-1-11-1111-1-111-1-1111111-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11-1-11-1-1-111-1-1111-1-111-1-11-11-1-1-1-111-1-111-1-11-11
χ1111111111111-11-1-11-1111-1-111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111-1111-1-111-1-1-111-1-111-11-11111-1-111-1-1-1-11-11
χ1211111111111-11-1-11-1111-1-111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-111-1-1-111-1-1111-11-1-1-1-111-1-11111-11-1
χ1311111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-11-1-11-1-1-1-111111-1-1-1-111-1-111111-1-1-1-11111-1-11
χ1411111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1
χ1511111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-111-11111-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-111-1
χ1611111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-11111-1-1-1-1-11111-1-111-1-1-1-1-11111-1-111-1-11
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+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000022000000000000000000000222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000
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+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000-2-2000000000000000000000-2-2-21+521+521−521−521+521−521+521−521+521−5200000
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+5200−1−52−1+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+521−521−5200000220000000000000000000002-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−5200000
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+5200−1−52−1+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+521−521−5200000-2-2000000000000000000000-2221+521+521−521−521+521−52−1−52−1+52−1−52−1+5200000
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+52001+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+521−521−520000022000000000000000000000-22-2−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−5200000
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+52001+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+521−521−5200000-2-20000000000000000000002-221+521+521−521−52−1−52−1+521+521−52−1−52−1+5200000
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+52001+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+520000022000000000000000000000-2-22−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+5200000
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+52001+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+5200000-2-200000000000000000000022-21+521+521−521−52−1−52−1+52−1−52−1+521+521−5200000
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+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000022000000000000000000000222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000
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+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000-2-2000000000000000000000-2-2-21−521−521+521+521−521+521−521+521−521+5200000
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+52−1−5200−1+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+5200000220000000000000000000002-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+5200000
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+52−1−5200−1+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+5200000-2-2000000000000000000000-2221−521−521+521+521−521+52−1+52−1−52−1+52−1−5200000
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+52−1−52001−521+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+520000022000000000000000000000-22-2−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+5200000
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+52−1−52001−521+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+5200000-2-20000000000000000000002-221−521−521+521+52−1+52−1−521−521+52−1+52−1−5200000
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+52−1−52001−521+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+52−1−52−1−520000022000000000000000000000-2-22−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−5200000
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+52−1−52001−521+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+52−1−52−1−5200000-2-200000000000000000000022-21−521−521+521+52−1+52−1−52−1+52−1−521−521+5200000
χ3322222-122-122222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3422222-122-122222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21100-2-2-2-2-2-2111111111111111000000000000000000
χ3522222-122-1222-2-22-2-2-1-1-1-1-11111222222-1-11111-1-1-1-12222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111222-1-1002-2-22-2-2-1-11111-1-1-1-1-11111000000000000000000
χ3622222-122-1222-2-22-2-2-1-1-1-1-11111222222-1-11111-1-1-1-1-2-222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-21100-222-22211-1-1-1-111111-1-1-1-1000000000000000000
χ3722222-122-122-22-2-22-2-1-1-111-1-11122222211-1-111-1-1-1-122-2-222-2-2-2-222-2-2-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111222-1-100-22-2-22-211-1-111-1-1-111-1-111000000000000000000
χ3822222-122-122-22-2-22-2-1-1-111-1-11122222211-1-111-1-1-1-1-2-2-2-222-2-2-2-222-2-2-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-2-2-211002-222-22-1-111-1-1111-1-111-1-1000000000000000000
χ3922222-122-122-2-22-2-22-1-1-11111-1-12222221111-1-1-1-1-1-122-2-2-2-222-2-2-2-222-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1222-1-100-2-22-2-221111-1-1-1-1-11111-1-1000000000000000000
χ4022222-122-122-2-22-2-22-1-1-11111-1-12222221111-1-1-1-1-1-1-2-2-2-2-2-222-2-2-2-222-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-2-2-2110022-222-2-1-1-1-111111-1-1-1-111000000000000000000
χ41222-2-222222200200-22-2-20000222-2-22-2-20000-2-22222220000220000-2-22-2-22-2-200000000222200000000-2-2-2-22-2-2220000-20020000-2-22-2-2000022000000000000000000
χ42222-2-222222200200-22-2-20000222-2-22-2-20000-2-22222-2-20000220000-2-22-2-22-2-200000000222200000000-2-2-2-2-222-2-20000200-2000022-2220000-2-2000000000000000000
χ43222-2-222222200-20022-2-20000-2-22-2-22-2-20000222222220000-2-20000222-2-22-2-200000000-2-2-2-20000000022222-2-2220000200-20000222-2-20000-2-2000000000000000000
χ44222-2-222222200-20022-2-20000-2-22-2-22-2-20000222222-2-20000-2-20000222-2-22-2-200000000-2-2-2-2000000002222-222-2-20000-20020000-2-2-222000022000000000000000000
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χ11944-4-44-2−1+5−1−5-2−1+5−1−5-40040022-222−2i32i32i3−2i31−51−5−1+51+51+5−1−5-2-22i3−2i3−2i32i31−521+521−521+52001−51+50000−1+5−1−50000−1+52−1+521−52−1−52−1−521+52−1+52−1+52−1−52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461−521−521+521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000000000000000000000
χ12044-4-44-2−1+5−1−5-2−1+5−1−5-40040022-2222i3−2i3−2i32i31−51−5−1+51+51+5−1−5-2-2−2i32i32i3−2i31−521+521−521+52001−51+50000−1+5−1−50000−1+52−1+521−52−1−52−1−521+52−1+52−1+52−1−52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461−521−521+521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000000000000000000
χ1214-4000444-4-4-400000000000000000000000000044-4-44i−4i0000000000000000000000000000000000000000000004i−4i2-20000000000000000000000002-22-20000002i−2i000
χ1224-4000444-4-4-400000000000000000000000000044-4-44i−4i0000000000000000000000000000000000000000000004i−4i-22000000000000000000000000-22-22000000−2i2i000
χ1234-4000444-4-4-400000000000000000000000000044-4-4−4i4i000000000000000000000000000000000000000000000−4i4i2-20000000000000000000000002-22-2000000−2i2i000
χ1244-4000444-4-4-400000000000000000000000000044-4-4−4i4i000000000000000000000000000000000000000000000−4i4i-22000000000000000000000000-22-220000002i−2i000
χ1258-80008−2−25−2+25-82+252−25000000000000000000000000000−2−25−2+252+252−2500000000000000000000000000000000000000000000000004-4000000000000000000000000−1−51+5−1+51−500000000000
χ1268-80008−2−25−2+25-82+252−25000000000000000000000000000−2−25−2+252+252−250000000000000000000000000000000000000000000000000-440000000000000000000000001+5−1−51−5−1+500000000000
χ1278-80008−2+25−2−25-82−252+25000000000000000000000000000−2+25−2−252−252+2500000000000000000000000000000000000000000000000004-4000000000000000000000000−1+51−5−1−51+500000000000
χ1288-80008−2+25−2−25-82−252+25000000000000000000000000000−2+25−2−252−252+250000000000000000000000000000000000000000000000000-440000000000000000000000001−5−1+51+5−1−500000000000
χ1298-8000-4884-8-8000000000000000000000000000-4-4448i−8i000000000000000000000000000000000000000000000−4i4i00000000000000000000000000000000000000000
χ1308-8000-4884-8-8000000000000000000000000000-4-444−8i8i0000000000000000000000000000000000000000000004i−4i00000000000000000000000000000000000000000
χ13116-16000-8−4−45−4+4584+454−450000000000000000000000000002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13216-16000-8−4+45−4−4584−454+450000000000000000000000000002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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