Finite Group Databasebeta

← Group #11752712

Character table — Group #11752712

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444444444444444444444444444444444444101010101212121220202020202020202020242424242424242460606060
order122234455666101010101010121212124412121212151520202020202020202020202030303030303060606060606060606060606060606060606060606060606044442222246612121212121210101010101010104444
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
χ51111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1
χ911111-1-111111111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11-11-11111-1-1-1-111-1-111-1-11-11-1
χ1011111-1-111111111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-111-11111-1-1-1-1-1-111-1-111-11-11
χ1111111-1-111111111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-1-1-1111111-1-111-1-1-11-11
χ1211111-1-111111111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-11111-1-111-1-1111-11-1
χ1311111-1-111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-11-1-111-1-11111-1-1-1-1111-1-11
χ1411111-1-111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-11-1-111-1-111-1-11111-1-1-111-1
χ1511111-1-111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-111-111-1-111-1-111-1-1-1-111-111-1
χ1611111-1-111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11-111-1-111-1-1-1-11111-1-11-1-11
χ172222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+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+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+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+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+522222-2-2-2-2-2-2−1−52−1+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+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+521−521−521−521−52000022-2-20000000000−1−52−1+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+522222-2-2-2-2-2-2−1−52−1+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+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+521−521−521−521−520000-2-22200000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ212222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522222222222−1+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+52−1−52−1−52−1−52−1−52000022220000000000−1+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+52−1−52−1−52−1−522222222222−1+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+52−1−52−1−52−1−52−1−520000-2-2-2-200000000001−521+521−521+521−521+521−521+520000
χ232222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+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+52−1−52−1−52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+520000-2-22200000000001−521+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+52-2-2-2-22-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52-2-2-2-22-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52-2-2-2-2-22-2-222−1−52−1+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+521−521−521−521−521+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+52-2-2-2-2-22-2-222−1−52−1+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+521−521−521−521−521+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+52−1−52−1−52−1−52-2-2-2-22-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+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+52−1−52−1−52−1−52-2-2-2-22-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521+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+52−1−52−1−52−1−52-2-2-2-2-22-2-222−1+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+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+52−1−52−1−52−1−52-2-2-2-2-22-2-222−1+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+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
χ332222-12222-1-1-1222222-1-1-1-122-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-1000000000000
χ342222-12222-1-1-1222222-1-1-1-122-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211111111000000000000
χ352222-12222-1-1-1222222-1-1-1-1-2-21111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122220000-2-211-1-1-1-111000000000000
χ362222-12222-1-1-1222222-1-1-1-1-2-21111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000022-1-11111-1-1000000000000
χ372222-1-2-222-1-1-122222211112-2-1-111-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-200002-2-1-1-1-11111000000000000
χ382222-1-2-222-1-1-122222211112-2-1-111-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-2220000-221111-1-1-1-1000000000000
χ392222-1-2-222-1-1-12222221111-2211-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-20000-2211-1-111-1-1000000000000
χ402222-1-2-222-1-1-12222221111-2211-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-22200002-2-1-111-1-111000000000000
χ4122-2-222-2222-2-22-2-22-2-222-2-2000000222-22-2000000002-2-22-2-222-2-222-2-200000000000000002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ4222-2-222-2222-2-22-2-22-2-222-2-2000000222-22-2000000002-2-22-2-222-2-222-2-20000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ4322-2-22-22222-2-22-2-22-2-2-2-22200000022-22-22000000002-2-22-2-2-2-222-2-22200000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ4422-2-22-22222-2-22-2-22-2-2-2-22200000022-22-22000000002-2-22-2-2-2-222-2-2220000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ4522-2-2-12-222-1112-2-22-2-2-1-111003−33−3-1-12-22-200000000-111-111-1-111-1-11133−3−333−3−333−3−333−3−32i−2i2i−2i000000−i3i3−ii−ii−i3i3000000000000
χ4622-2-2-12-222-1112-2-22-2-2-1-111003−33−3-1-12-22-200000000-111-111-1-111-1-11133−3−333−3−333−3−333−3−3−2i2i−2i2i000000i3−i3i−ii−ii3−i3000000000000
χ4722-2-2-12-222-1112-2-22-2-2-1-11100−33−33-1-12-22-200000000-111-111-1-111-1-111−3−333−3−333−3−333−3−3332i−2i2i−2i000000i3−i3−ii−iii3−i3000000000000
χ4822-2-2-12-222-1112-2-22-2-2-1-11100−33−33-1-12-22-200000000-111-111-1-111-1-111−3−333−3−333−3−333−3−333−2i2i−2i2i000000−i3i3i−ii−i−i3i3000000000000
χ4922-2-2-1-2222-1112-2-22-2-211-1-1003−3−33-1-1-22-2200000000-111-11111-1-111-1-133−3−333−3−3−3−333−3−3332i−2i−2i2i000000−i3i3−iii−ii3−i3000000000000
χ5022-2-2-1-2222-1112-2-22-2-211-1-1003−3−33-1-1-22-2200000000-111-11111-1-111-1-133−3−333−3−3−3−333−3−333−2i2i2i−2i000000i3−i3i−i−ii−i3i3000000000000
χ5122-2-2-1-2222-1112-2-22-2-211-1-100−333−3-1-1-22-2200000000-111-11111-1-111-1-1−3−333−3−33333−3−333−3−32i−2i−2i2i000000i3−i3−iii−i−i3i3000000000000
χ5222-2-2-1-2222-1112-2-22-2-211-1-100−333−3-1-1-22-2200000000-111-11111-1-111-1-1−3−333−3−33333−3−333−3−3−2i2i2i−2i000000−i3i3i−i−iii3−i3000000000000
χ534444-244−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-2-2-2-244-2-2-2-21+521−52−1−5−1−5−1+5−1+5−1−5−1−5−1+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
χ544444-244−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-2-2-2-2-4-422221+521−52−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−51+521+521+521−521−521−521+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+52−1+52−1+52000000000000000000000000000000
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χ1014-4-44-200−1+5−1−522-21−51−5−1+51+51+5−1−5−232323−230000001−521+52000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1+521−52−1−52−1−521+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+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−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+ζ46000000000000000000000000000000
χ1024-4-44-200−1+5−1−522-21−51−5−1+51+51+5−1−5−232323−230000001−521+5200000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1+521−52−1−52−1−521+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+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000000000000000000000

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