Finite Group Databasebeta

← Group #14453650

Character table — Group #14453650

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222444444444444444488888888888888888888121216161616161616161616161616162020242424242424242424242430304040404040404048484848606060606060608080
order122234455666101010101010881212151520202020303030303030242424404040406060606012012012012012012012012024610101220203030303060606060444481010202040404040222281212242420202020224448866
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ51111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-111111-1-1-1-1-1-11-1-111-1-1
χ61111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-111-111-1-111
χ71111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-1
χ81111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11-1-11111
χ9111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-1111-1-1-1-11-1
χ10111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-11111-11
χ11111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-111-111-1-1-1-11111-1-11-1-111-1-1-1-111-1-1-111111-1
χ12111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-111-1-111-1-111111-1-1-1-1-11
χ13111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1111111-11-11111-1-1-1-111-11-111-1-1-1-111-1-1111-1-1-11
χ14111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-11-11111-1-1-1-1-1-11-11-1-111-1-11111-1-1-1111-1
χ15111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-11-1-1-1-11111-1-1-11-111-1-111-1-111-1-1-111-11
χ16111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11-11-1-1-1-11111111-11-1-11111-1-1-1-1111-1-11-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000−1−52−1+52−1−52−1+52000000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521−521+521−521+521+521−521−520000000001+521−521+521−52000000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-21+521−52-21+521−521+521+521−521−521+521+521−521−5200-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000001+521−521+521−52000000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521−52-21+521−521+521+521−521−521+521+521−521−520022-21+521−521+521−521+521+521−521−52000000000−1−52−1+52−1−52−1+52000000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52222−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52002-2-2−1−52−1+52−1−52−1+521+521+521−521−52000000000−1−52−1+521+521−52000000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-22−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2221+521−521+521−52−1−52−1−52−1+52−1+520000000001+521−52−1−52−1+52000000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-22-2−1−52−1+52−1−52−1+521+521+521−521−520000000001+521−52−1−52−1+52000000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52002-221+521−521+521−52−1−52−1−52−1+52−1+52000000000−1−52−1+521+521−52000000000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000−1+52−1−52−1+52−1−52000000000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521+521−521+521−521−521+521+520000000001−521+521−521+52000000000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-21−521+52-21−521+521−521−521+521+521−521−521+521+5200-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000001−521+521−521+52000000000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521+52-21−521+521−521−521+521+521−521−521+521+520022-21−521+521−521+521−521−521+521+52000000000−1+52−1−52−1+52−1−52000000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52222−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52002-2-2−1+52−1−52−1+52−1−521−521−521+521+52000000000−1+52−1−521−521+52000000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-22−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2221−521+521−521+52−1+52−1+52−1−52−1−520000000001−521+52−1+52−1−52000000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-22-2−1+52−1−52−1+52−1−521−521−521+521+520000000001−521+52−1+52−1−52000000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52002-221−521+521−521+52−1+52−1+52−1−52−1−52000000000−1+52−1−521−521+52000000000
χ3322222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-2000000002-2000000000000002-200022-2-20000-2-20002-2000000002000000
χ3422222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-2000000002-200000000000000-2200022-2-2000022000-2200000000-2000000
χ3522222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-200000000-22000000000000002-2000-2-2220000220002-200000000-2000000
χ3622222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-200000000-2200000000000000-22000-2-2220000-2-2000-22000000002000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1220000000000000222-1-1-1-100000000000-1-1
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-2-20000000000000-2-2-211110000000000011
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1001-2-21-2-211111111220000000000000-2-22-1-1-1-10000000000011
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1001-2-21-2-211111111-2-2000000000000022-2111100000000000-1-1
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-11111111100-1221-2-2-1-1-1-111112200000000000002-2-2-1-11100000000000-11
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-11111111100-1221-2-2-1-1-1-11111-2-20000000000000-22211-1-1000000000001-1
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-111111111001-2-2-1221111-1-1-1-1220000000000000-22-2-1-111000000000001-1
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-111111111001-2-2-1221111-1-1-1-1-2-200000000000002-2211-1-100000000000-11
χ452-2-222-22222-2-2-2-222-2-22-22-222-2-222-2-2-2-222002-22-22-2-2-22222-2-222-2-20000000000000000000000000000000000000000002-202-20000
χ462-2-222-22222-2-2-2-222-2-22-22-222-2-222-2-2-2-222002-22-22-2-2-22222-2-222-2-2000000000000000000000000000000000000000000-220-220000
χ472-2-222-22222-2-2-2-222-2-2-222-222-2-222-2-2-2-22200-22-22-22-2-222-2-222-2-2220000000000000000000000000000000000000000002-20-220000
χ482-2-222-22222-2-2-2-222-2-2-222-222-2-222-2-2-2-22200-22-22-22-2-222-2-222-2-222000000000000000000000000000000000000000000-2202-20000
χ4944444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+500-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5000000001+51−51+51−5000000004-40000000000000000000−1−5−1+51+51−500000000000000000000000000
χ5044444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+500-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5000000001+51−51+51−500000000-4400000000000000000001+51−5−1−5−1+500000000000000000000000000
χ5144444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−500-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5000000001−51+51−51+5000000004-40000000000000000000−1+5−1−51−51+500000000000000000000000000
χ5244444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−500-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5000000001−51+51−51+500000000-4400000000000000000001−51+5−1+5−1−500000000000000000000000000
χ534444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−5244-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−5200-2−1−5−1+5-2−1−5−1+51+521+521−521−521+521+521−521−5200000000000000000000000000000000000
χ544444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−52-4-4-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−520021+51−521+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000
χ554444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−524-4221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2−1−5−1+521+51−51+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000000
χ564444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−52-44221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520021+51−5-2−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000000
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χ1008-88-8-400−2−25−2+2544-42+252−252+252−25−2−25−2+2500001+51−50000−1−51+5−1+51−5−1−5−1+5000000000000−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119000000000000000000000000000000000000000000000000000
χ1018-88-8-400−2−25−2+2544-42+252−252+252−25−2−25−2+2500001+51−50000−1−51+5−1+51−5−1−5−1+5000000000000ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119000000000000000000000000000000000000000000000000000
χ1028-88-8-400−2+25−2−2544-42−252+252−252+25−2+25−2−2500001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103000000000000000000000000000000000000000000000000000
χ1038-88-8-400−2+25−2−2544-42−252+252−252+25−2+25−2−2500001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103000000000000000000000000000000000000000000000000000
χ1048-8-88-48-8−2−25−2+25-4442+252−25−2−25−2+252+252−25004-41+51−5−2−25−2+252+252−25−1−5−1−5−1+5−1+51+51−5000000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-8−2+25−2−25-4442−252+25−2+25−2−252−252+25004-41−51+5−2+25−2−252−252+25−1+5−1+5−1−5−1−51−51+5000000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.