Finite Group Databasebeta

← Group #14425321

Character table — Group #14425321

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size112222222224444444444444444444888888888888888888888888881212121216161616161616161616162020202024242424242424242424303030304040404040404848484860608080120120
order1223445561010246101012121515202020203030606060604681010121212202020202020303060606060606060606060222424303040406060120120120120222448101010101010202022442666812202040402462448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111111111-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111-1-1111111111111-1111-11-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-1-1-111
χ8111111111111111111111111111111-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-11-111111111-1-1
χ911111111111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-11111111-1-1-111-1-1-1-11-11-1
χ1011111111111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-111111-1-111-11-11
χ1111111111111-1-1111111111111111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-111111-1-11
χ1211111111111-1-1111111111111111111-1-1-1-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111111111-1-1-1111-1-111-1-1-111-1
χ1311111111111-1-111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-111-1-1111111-1-1-111111-1-1-1-11111-111-11-1-1-111-1-1-11-11
χ1411111111111-1-111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1-111-111111-1-1-1-1-1-1-1-11-1-11-11-1-111111-11-1
χ1511111111111-1-111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-11-1-1-1-1-11111-1-1-1-1-111-11-111-1-111-111-1
χ1611111111111-1-111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1111-1-1-1-1-1111111111-1-11-1111-1-1-1-11-1-11
χ17222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000022−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000000000−1−52−1+52−1−52−1+52000000
χ18222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-21+521+521−521−521+521−521+521−5200000000001+521−521+521−52000000
χ19222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522222-2−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000000001+521−521+521−52000000
χ20222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-2−1−52−1+521+521−52−1−52−1+521+521+521−521−520000221+521+521−521−521+521−521+521−520000000000−1−52−1+52−1−52−1+52000000
χ21222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-21+521−52-2221+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+5222-2-2-21+521−521+521−521+521−521+521+521−521−5200002-2−1−52−1−52−1+52−1+521+521−521+521−520000000000−1−52−1+521+521−52000000
χ22222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-21+521−52-2221+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+52-2-222-21+521−521+521−521+521−521+521+521−521−520000-221+521+521−521−52−1−52−1+52−1−52−1+5200000000001+521−52−1−52−1+52000000
χ23222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-221+521−52-2-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-221+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+520000-22−1−52−1−52−1+52−1+521+521−521+521−5200000000001+521−52−1−52−1+52000000
χ24222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-221+521−52-2-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-22221+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+5200002-21+521+521−521−52−1−52−1+52−1−52−1+520000000000−1−52−1+521+521−52000000
χ25222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000000000−1+52−1−52−1+52−1−52000000
χ26222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-21−521−521+521+521−521+521−521+5200000000001−521+521−521+52000000
χ27222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522222-2−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000000001−521+521−521+52000000
χ28222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-2-2−1+52−1−521−521+52−1+52−1−521−521−521+521+520000221−521−521+521+521−521+521−521+520000000000−1+52−1−52−1+52−1−52000000
χ29222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-21−521+52-2221−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-21−521+521−521+521−521+521−521−521+521+5200002-2−1+52−1+52−1−52−1−521−521+521−521+520000000000−1+52−1−521−521+52000000
χ30222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-21−521+52-2221−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-21−521+521−521+521−521+521−521−521+521+520000-221−521−521+521+52−1+52−1−52−1+52−1−5200000000001−521+52−1+52−1−52000000
χ31222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-221−521+52-2-2-21−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−520000-22−1+52−1+52−1−52−1−521−521+521−521+5200000000001−521+52−1+52−1−52000000
χ32222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-221−521+52-2-2-21−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-22221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−5200002-21−521−521+521+52−1+52−1−52−1+52−1−520000000000−1+52−1−521−521+52000000
χ332222-2-22222200222-2-222-2-2-2-222-2-2-2-20000000000000022-2-2000000002-200000000000002-200002-22-2000022-2-202-20000000000000
χ342222-2-22222200222-2-222-2-2-2-222-2-2-2-20000000000000022-2-2000000002-20000000000000-2200002-22-20000-2-2220-220000000000000
χ352222-2-22222200222-2-222-2-2-2-222-2-2-2-20000000000000022-2-200000000-2200000000000002-20000-22-220000-2-22202-20000000000000
χ362222-2-22222200222-2-222-2-2-2-222-2-2-2-20000000000000022-2-200000000-220000000000000-220000-22-22000022-2-20-220000000000000
χ37222-12222-12222-122-1-1-1-12222-1-1-1-1-1-12-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-122-1-1-1-1-1-12222000000000000002-1-1-12-1000000-1-100
χ38222-12222-12222-122-1-1-1-12222-1-1-1-1-1-12-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-122-1-1-1-1-1-1-2-2-2-200000000000000-2111-210000001100
χ39222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-2-1-222-11122-2-2-2-2-1-1-1-11111111100001-1-1-2-2-1-11111222200000000000000-2-1-1-1-2-10000001100
χ40222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-2-1-222-11122-2-2-2-2-1-1-1-11111111100001-1-1-2-2-1-11111-2-2-2-200000000000000211121000000-1-100
χ41222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-121-2-2-21-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000111-2-211111122-2-2000000000000002-1-11-21000000-1100
χ42222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-121-2-2-21-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000111-2-2111111-2-22200000000000000-211-12-10000001-100
χ43222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-1-212-2-2111-2-2-2-2-2-2-1-1-1-1111111110000-1112211-1-1-1-122-2-200000000000000-2-1-11210000001-100
χ44222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-1-212-2-2111-2-2-2-2-2-2-1-1-1-1111111110000-1112211-1-1-1-1-2-22200000000000000211-1-2-1000000-1100
χ4522-222-2222222-2-2-2-2-2222-2-22222-2-2-2-202022-200-2-20000-2-22200000000000002200-2-20000000000000000002-22-200000000002-20000
χ4622-222-2222222-2-2-2-2-2222-2-22222-2-2-2-202022-200-2-20000-2-22200000000000002200-2-2000000000000000000-22-220000000000-220000
χ4722-222-222222-22-2-2-2-2222-2-22222-2-2-2-20-20-2-2200220000-2-2220000000000000-2-200220000000000000000002-22-20000000000-220000
χ4822-222-222222-22-2-2-2-2222-2-22222-2-2-2-20-20-2-2200220000-2-2220000000000000-2-20022000000000000000000-22-2200000000002-20000
χ4922-22-222222200-2-2-22-22222-2-222222200000000000000-2-2-2-200000000002-200000000000002-200000022-2-22-2-2200020-20000000000
χ5022-22-222222200-2-2-22-22222-2-222222200000000000000-2-2-2-200000000002-20000000000000-2200000022-2-2-222-2000-2020000000000
χ5122-22-222222200-2-2-22-22222-2-222222200000000000000-2-2-2-20000000000-2200000000000002-2000000-2-222-222-200020-20000000000
χ5222-22-222222200-2-2-22-22222-2-222222200000000000000-2-2-2-20000000000-220000000000000-22000000-2-2222-2-22000-2020000000000
χ534444-4-4−1−5−1+54−1−5−1+5004−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−500000000000000−1−5−1+51+51−5000000004-40000000000000000000−1−51+5−1+51−5000000000000000000000000
χ544444-4-4−1−5−1+54−1−5−1+5004−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−500000000000000−1−5−1+51+51−500000000-4400000000000000000001+5−1−51−5−1+5000000000000000000000000
χ554444-4-4−1+5−1−54−1+5−1−5004−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−51−51−51+51+500000000000000−1+5−1−51−51+5000000004-40000000000000000000−1+51−5−1−51+5000000000000000000000000
χ564444-4-4−1+5−1−54−1+5−1−5004−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−51−51−51+51+500000000000000−1+5−1−51−51+500000000-4400000000000000000001−5−1+51+5−1−5000000000000000000000000
χ57444-244−1−5−1+5-2−1−5−1+544-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−524-24−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−520000-21+521−52−1−5−1+51+521−521+521+521−521−520000000000000000000000000000000000
χ58444-244−1−5−1+5-2−1−5−1+544-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−52-4-2-4−1−5−1+5-222−1−5−1+51+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000021+521−521+51−51+521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
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χ1048-80-400−2+25−2−2542−252+2500000001−51+50000−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59000000−2i32i3002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000ζ2−ζ7−ζ22+ζ23+ζ38+ζ43−ζ47−ζ58−ζ2+ζ7+ζ22−ζ23−ζ38−ζ43+ζ47+ζ58−ζ2−ζ7+ζ22+ζ23−ζ38+ζ43−ζ47+ζ58ζ2+ζ7−ζ22−ζ23+ζ38−ζ43+ζ47−ζ58−ζ11−ζ14+ζ19−ζ26−ζ31+ζ34+ζ46+ζ59ζ11+ζ14−ζ19+ζ26+ζ31−ζ34−ζ46−ζ59−ζ11+ζ14+ζ19+ζ26−ζ31−ζ34−ζ46+ζ59ζ11−ζ14−ζ19−ζ26+ζ31+ζ34+ζ46−ζ590000000000000000000000000000000000000000000000000
χ1058-80-400−2+25−2−2542−252+2500000001−51+50000−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ590000002i3−2i300−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−ζ2+ζ7+ζ22−ζ23−ζ38−ζ43+ζ47+ζ58ζ2−ζ7−ζ22+ζ23+ζ38+ζ43−ζ47−ζ58ζ2+ζ7−ζ22−ζ23+ζ38−ζ43+ζ47−ζ58−ζ2−ζ7+ζ22+ζ23−ζ38+ζ43−ζ47+ζ58ζ11+ζ14−ζ19+ζ26+ζ31−ζ34−ζ46−ζ59−ζ11−ζ14+ζ19−ζ26−ζ31+ζ34+ζ46+ζ59ζ11−ζ14−ζ19−ζ26+ζ31+ζ34+ζ46−ζ59−ζ11+ζ14+ζ19+ζ26−ζ31−ζ34−ζ46+ζ590000000000000000000000000000000000000000000000000

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