Finite Group Databasebeta

← Group #14454346

Character table — Group #14454346

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222244444444444444668888888888888888888888888121212121212121616161616161616161616162020202024242424242424242424242440404040404048486060606060608080120
order1222344556661010101010101212151520202020303030303030442481010101024244040404060606060120120120120120120120120244202020206122020303030306060606024882810102020202040404040446122424101022448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-111-1-11-11
χ411111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-111-1-111-1-111-11-1
χ51111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-1111-1-1-1-1111111-1-11-111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-11-1
χ61111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-1111-1-1-1-11111-1-1111-111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-11
χ71111111111111111111111111111111111-1-11-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1
χ81111111111111111111111111111111111-1-11-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111
χ911111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1
χ1011111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-11111-1-1111-1-1
χ1211111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-111-1-1-111
χ1311111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-11-1-1111111111-111-1-1-1-1-1-1-1-111-111
χ1411111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-11111-1-111-11-1-111111111-11-1-111-1-11111-1-11-1-1
χ1511111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11
χ1611111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+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+5222222−1−52−1−52−1+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+52222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52000000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+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+52222-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52222−1−52−1−52−1+52−1+522-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52000000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+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+5222-22-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1+52−1+52-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002-2−1−52−1+521+521+521−521−521+521+521−521−52000000−1−52−1+52000000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+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+5222-2-221+521+521−521−5222−1−52−1−52−1+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+522-2-2−1−52−1−52−1+52−1+52-2-21+521−521+521+521−521−521+521+521−521−520000-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52000000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+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+52-2-2222−1−52−1−52−1+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+52-2-2-21+521+521−521−5222−1−52−1+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+521−521−520000001+521−52000000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+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+52-2-22-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-21+521+521−521−522-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000221+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+52000000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+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+52-2-2-22-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2221+521+521−521−52-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−52000000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+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+52-2-2-2-221+521+521−521−5222−1−52−1−52−1+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+52-2221+521+521−521−52-2-21+521−521+521+521−521−521+521+521−521−5200002-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+52000000000
χ252222222−1+52−1−52222−1+52−1−52−1+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+52−1−5222222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52000000000
χ262222222−1+52−1−52222−1+52−1−52−1+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+52−1−52222-2-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52222−1+52−1+52−1−52−1−522-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52000000000
χ272222222−1+52−1−52222−1+52−1−52−1+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+52−1−5222-22-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2-2−1+52−1+52−1−52−1−52-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200002-2−1+52−1−521−521−521+521+521−521−521+521+52000000−1+52−1−52000000000
χ282222222−1+52−1−52222−1+52−1−52−1+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+52−1−5222-2-221−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+52−1+52−1−52−1−52-2-21−521+521−521−521+521+521−521−521+521+520000-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52000000000
χ292222222−1+52−1−52222−1+52−1−52−1+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+52−1−52-2-2222−1+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+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+5222−1+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+521−521−521+521+520000001−521+52000000000
χ302222222−1+52−1−52222−1+52−1−52−1+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+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-21−521−521+521+522-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000221−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−52000000000
χ312222222−1+52−1−52222−1+52−1−52−1+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+52−1−52-2-2-22-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2221−521−521+521+52-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+52000000000
χ322222222−1+52−1−52222−1+52−1−52−1+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+52−1−52-2-2-2-221−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2221−521−521+521+52-2-21−521+521−521−521+521+521−521−521+521+5200002-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−52000000000
χ3322222-2-222222222222-2-222-2-2-2-2222222220000000000000-2-2-2-200000000-20022220000000000002-20000-2-200000000002-2000000-2200000
χ3422222-2-222222222222-2-222-2-2-2-2222222220000000000000-2-2-2-200000000-2002222000000000000-220000-2-20000000000-220000002-200000
χ3522222-2-222222222222-2-222-2-2-2-2222222-2-20000000000000-2-2-2-200000000200-2-2-2-20000000000002-200002200000000002-20000002-200000
χ3622222-2-222222222222-2-222-2-2-2-2222222-2-20000000000000-2-2-2-200000000200-2-2-2-2000000000000-220000220000000000-22000000-2200000
χ372222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000-1-122-1-1-1-1-1-1-1-1222200000000000022-1-1-1-100000000-1-10
χ382222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2111100000000110
χ392222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002-2-2222211-2-2-2-2-1-1-1-1111111110000000-11-2-2-1-1-1-1111122-2-2000000000000-22-1-11100000000-110
χ402222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002-2-2222211-2-2-2-2-1-1-1-1111111110000000-11-2-2-1-1-1-11111-2-2220000000000002-211-1-1000000001-10
χ412222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-22-2-2-2-2-211-2-2-2-2-1-1-1-11111111100000001-1221111-1-1-1-122-2-20000000000002-2-1-111000000001-10
χ422222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-22-2-2-2-2-211-2-2-2-2-1-1-1-11111111100000001-1221111-1-1-1-1-2-222000000000000-2211-1-100000000-110
χ432222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-2-22-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000011-2-2111111112222000000000000-2-2-1-1-1-100000000110
χ442222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-2-22-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000011-2-211111111-2-2-2-200000000000022111100000000-1-10
χ452-22-22-2222-2-22-2-2-2-222-222222-2-2-2-222-2-2000000000000000-2-2220000000002-20000000000000000002-200002-22-2000000002-2002-20000000
χ462-22-22-2222-2-22-2-2-2-222-222222-2-2-2-222-2-2000000000000000-2-2220000000002-2000000000000000000-2200002-22-200000000-2200-220000000
χ472-22-22-2222-2-22-2-2-2-222-222222-2-2-2-222-2-2000000000000000-2-222000000000-220000000000000000002-20000-22-22000000002-200-220000000
χ482-22-22-2222-2-22-2-2-2-222-222222-2-2-2-222-2-2000000000000000-2-222000000000-22000000000000000000-220000-22-2200000000-22002-20000000
χ4944444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+54400000000000001+51−51+51−500000000-400−1−5−1−5−1+5−1+50000000000000000001+51−50000000000000000000000000
χ5044444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5-4-400000000000001+51−51+51−5000000004001+51+51−51−5000000000000000000−1−5−1+50000000000000000000000000
χ5144444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−54400000000000001−51+51−51+500000000-400−1+5−1+5−1−5−1−50000000000000000001−51+50000000000000000000000000
χ5244444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5-4-400000000000001−51+51−51+5000000004001−51−51+51+5000000000000000000−1+5−1−50000000000000000000000000
χ534444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521−5200444−1−5−1−5−1+5−1+5-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−520000000-2-2−1−5−1+51+521+521−521−521+521+521−521−52000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.