Finite Group Databasebeta

← Group #11754635

Character table — Group #11754635

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444444444444444444444444444444444444101010101212121220202020202020202020242424242424242460606060
order12223445566610101010101012121212246610101010121215152020202020202020303030303030303030303030303060606060606060606060606060606060224422442466661212121210101010202020202244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1
χ911111-1-111111111111-1-1-1-11-1111111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1111-1-1-1-11111-1-111-1-11-11-1
χ1011111-1-111111111111-1-1-1-11-1111111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1111-1-1-1-111-1-111-1-111-11-11
χ1111111-1-111111111111-1-1-1-11-1111111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-1-11111-1-111-1-111-1-1-11-11
χ1211111-1-111111111111-1-1-1-11-1111111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1-11111-1-1-1-111-1-1111-11-1
χ1311111-1-111111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-1-111-11111-1-1-1-111-1-1-1-1111-1-11
χ1411111-1-111111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-11-11111-1-1-1-1-1-11111-1-1-111-1
χ1511111-1-111111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-11-11-1-1-1-1111111-1-1-1-111-111-1
χ1611111-1-111111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-111-1-11-1-1-1-11111-1-11111-1-11-1-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022220000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-200000000001+521−521+521−521+521−521+521−520000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-21+521+521−521−52-2-2−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000022-2-20000000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-21+521+521−521−52-2-2−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000-2-22200000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022220000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-200000000001−521+521−521+521−521+521−521+520000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-21−521−521+521+52-2-2−1+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+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000022-2-20000000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-21−521−521+521+52-2-2−1+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+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000-2-22200000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-222−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200002-22-20000000000−1−52−1+521+521−52−1−52−1+521+521−520000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-222−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-22-2200000000001+521−52−1−52−1+521+521−52−1−52−1+520000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-22-2-21+521+521−521−5222−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-2-220000000000−1−52−1+521+521−521+521−52−1−52−1+520000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-22-2-21+521+521−521−5222−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-222-200000000001+521−52−1−52−1+52−1−52−1+521+521−520000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-222−1+52−1+52−1−52−1−52-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200002-22-20000000000−1+52−1−521−521+52−1+52−1−521−521+520000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-222−1+52−1+52−1−52−1−52-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000-22-2200000000001−521+52−1+52−1−521−521+52−1+52−1−520000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-22-2-21−521−521+521+5222−1+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+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2-220000000000−1+52−1−521−521+521−521+52−1+52−1−520000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-22-2-21−521−521+521+5222−1+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+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-222-200000000001−521+52−1+52−1−52−1+52−1−521−521+520000
χ332222-12222-1-1-1222222-1-1-1-122-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-1000000000000
χ342222-12222-1-1-1222222-1-1-1-122-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211111111000000000000
χ352222-12222-1-1-1222222-1-1-1-1-2-211-2-2-2-211-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111122220000-2-2-1-111-1-111000000000000
χ362222-12222-1-1-1222222-1-1-1-1-2-211-2-2-2-211-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-200002211-1-111-1-1000000000000
χ372222-1-2-222-1-1-122222211112-2-1-1222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-20000-22-1-11111-1-1000000000000
χ382222-1-2-222-1-1-122222211112-2-1-1222211-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-22200002-211-1-1-1-111000000000000
χ392222-1-2-222-1-1-12222221111-2211-2-2-2-2-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-122-2-200002-2-1-1-1-11111000000000000
χ402222-1-2-222-1-1-12222221111-2211-2-2-2-2-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-2-2220000-221111-1-1-1-1000000000000
χ412-22-222-222-2-22-2-222-2-222-2-20000000000222-22-20000-2-2-2-2000000002222-2-222-2-2000000002-22-20000002-2002-200000000000000
χ422-22-222-222-2-22-2-222-2-222-2-20000000000222-22-20000-2-2-2-2000000002222-2-222-2-200000000-22-22000000-2200-2200000000000000
χ432-22-22-2222-2-22-2-222-2-2-2-222000000000022-22-220000-2-2-2-20000000022-2-222-2-222000000002-2-220000002-200-2200000000000000
χ442-22-22-2222-2-22-2-222-2-2-2-222000000000022-22-220000-2-2-2-20000000022-2-222-2-22200000000-222-2000000-22002-200000000000000
χ452-22-2-12-22211-1-2-222-2-2-1-11100−i3i30000−i3i3-1-12-22-200001111−i3−i3i3i3−i3−i3i3i3-1-1-1-111-1-111−i3−i3i3i3−i3−i3i3i32-22-2000000-11−i3i3-11−i3i3000000000000
χ462-22-2-12-22211-1-2-222-2-2-1-11100−i3i30000−i3i3-1-12-22-200001111−i3−i3i3i3−i3−i3i3i3-1-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3-22-220000001-1i3−i31-1i3−i3000000000000
χ472-22-2-12-22211-1-2-222-2-2-1-11100i3−i30000i3−i3-1-12-22-200001111i3i3−i3−i3i3i3−i3−i3-1-1-1-111-1-111i3i3−i3−i3i3i3−i3−i32-22-2000000-11i3−i3-11i3−i3000000000000
χ482-22-2-12-22211-1-2-222-2-2-1-11100i3−i30000i3−i3-1-12-22-200001111i3i3−i3−i3i3i3−i3−i3-1-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3-22-220000001-1−i3i31-1−i3i3000000000000
χ492-22-2-1-222211-1-2-222-2-211-1-100−i3i30000i3−i3-1-1-22-2200001111−i3−i3i3i3−i3−i3i3i3-1-111-1-111-1-1i3i3−i3−i3i3i3−i3−i32-2-22000000-11i3−i31-1−i3i3000000000000
χ502-22-2-1-222211-1-2-222-2-211-1-100−i3i30000i3−i3-1-1-22-2200001111−i3−i3i3i3−i3−i3i3i3-1-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3-222-20000001-1−i3i3-11i3−i3000000000000
χ512-22-2-1-222211-1-2-222-2-211-1-100i3−i30000−i3i3-1-1-22-2200001111i3i3−i3−i3i3i3−i3−i3-1-111-1-111-1-1−i3−i3i3i3−i3−i3i3i32-2-22000000-11−i3i31-1i3−i3000000000000
χ522-22-2-1-222211-1-2-222-2-211-1-100i3−i30000−i3i3-1-1-22-2200001111i3i3−i3−i3i3i3−i3−i3-1-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3-222-20000001-1i3−i3-11−i3i3000000000000
χ534444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-2-2-2-244-2-2−1−5−1−5−1+5−1+5-2-21+521−52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−521+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000000
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χ1014-4-44-200−1+5−1−52-22−1+5−1−51−51+51−51+5−232323−2300000000001−521+5200002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+521−52−1−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.