Finite Group Databasebeta

← Group #11752769

Character table — Group #11752769

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222244444444444444444444444444444444444444444444444444441212121220202020242424242424242430303030404040406060
order122234455666101010101010441212121212121515202020202020202020202020303030303030606060606060606060606060606060606060606060606060244422441010202020202020224466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-1-1-111111-11-1-1-1
χ6111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111111-1-1-1-1-1-1-1-1-11-1111
χ7111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-11111-1-1-1-11-11-111
χ8111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-111111111-11-11-1-1
χ911111-1-1111111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-111-1-11-1-111-1
χ1011111-1-1111111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-111-111-1-111-1-1-1-111-111-1-11
χ1111111-1-1111111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11-1-11-1-111-1-111-1-1111-1-11-11
χ1211111-1-1111111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-111-11-1
χ1311111-1-111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-111-1-1-11
χ1411111-1-111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1
χ1511111-1-111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-11-1
χ1611111-1-111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-111-1-1-1-111-11
χ172222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ182222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-200001+521−521+521−521+521−521+521−520000000000
χ192222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2-2-2−1−52−1+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+521−521−521−521−522-22-20000−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ202222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2-2-2−1−52−1+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+521−521−521−521−52-22-2200001+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ212222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+520000000000
χ232222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2-2-2−1+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+522-22-20000−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ242222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2-2-2−1+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+52-22-2200001−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ2522222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522-2-2-222-2-2−1−52−1+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+521−521−521−521−522-2-220000−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ2622222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522-2-2-222-2-2−1−52−1+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+521−521−521−521−52-222-200001+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ2722222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2-222−1−52−1+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+5222-2-20000−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ2822222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2-222−1−52−1+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+52-2-22200001+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ2922222-2-2−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522-2-2-222-2-2−1+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+522-2-220000−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ3022222-2-2−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522-2-2-222-2-2−1+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+52-222-200001−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ3122222-2-2−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-2-222−1+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+52−1−52−1−52−1−52−1−5222-2-20000−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ3222222-2-2−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-2-222−1+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+52−1−52−1−52−1−52−1−52-2-22200001−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ332222-12222-1-1-122222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000-1-1-1-100
χ342222-12222-1-1-122222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000111100
χ352222-12222-1-1-1222222-2-2-1-11111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100002-22-2000000000000-11-1100
χ362222-12222-1-1-1222222-2-2-1-11111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-22-220000000000001-11-100
χ372222-1-2-222-1-1-12222222-211-1-111-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100002-2-22000000000000-111-100
χ382222-1-2-222-1-1-12222222-211-1-111-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000-222-20000000000001-1-1100
χ392222-1-2-222-1-1-1222222-221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000022-2-2000000000000-1-11100
χ402222-1-2-222-1-1-1222222-221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000-2-22200000000000011-1-100
χ4122-2-222i−2i222-2-22-2-22-2-2002i−2i0000222i−2i2i−2i000000002-2-22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002-22i−2i000000
χ4222-2-222i−2i222-2-22-2-22-2-2002i−2i0000222i−2i2i−2i000000002-2-22-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000-22−2i2i000000
χ4322-2-22−2i2i222-2-22-2-22-2-200−2i2i000022−2i2i−2i2i000000002-2-22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000002-2−2i2i000000
χ4422-2-22−2i2i222-2-22-2-22-2-200−2i2i000022−2i2i−2i2i000000002-2-22-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000-222i−2i000000
χ454444-244−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+544-2-2-2-2-2-21+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+521−521−521−521−5200000000000000000000000000
χ464444-244−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-4-4-2-222221+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+5200000000000000000000000000
χ474444-244−1+5−1−5-2-2-2−1+5−1+5−1+5−1−5−1−5−1−544-2-2-2-2-2-21−521+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+5200000000000000000000000000
χ484444-244−1+5−1−5-2-2-2−1+5−1+5−1+5−1−5−1−5−1−5-4-4-2-222221−521+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+52−1−52−1−52−1−52−1−5200000000000000000000000000
χ494444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+54-422-2-2221+521−521+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−51+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000
χ504444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-442222-2-21+521−521+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+51+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+521+521+521+521+521−521−521−521−5200000000000000000000000000
χ514444-2-4-4−1+5−1−5-2-2-2−1+5−1+5−1+5−1−5−1−5−1−54-422-2-2221−521+521−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+51−521−521−521+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000
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χ954-4-44-200−1+5−1−52-221−51−5−1+51+51+5−1−50000−2323001−521+52000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+52−1+521−52−1−52−1−521+52ζ2−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+ζ46−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−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−ζ5900000000000000000000000000
χ964-4-44-200−1+5−1−52-221−51−5−1+51+51+5−1−50000−2323001−521+5200000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+52−1+521−52−1−52−1−521+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−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−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000000000000000

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