Finite Group Databasebeta

← Group #14453111

Character table — Group #14453111

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444488888888888888888888888888812121212121212121616161616161616161616202020202020242424242424242424242424404040404040404848606080120120120
order1222344556661010101010101212151520202020303030303030246682020202024244040404060606060120120120120120120120120448820202020101012303030306060606044881212442020202020204040404044121212242420202412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ5111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-11111-1-1-1-111-1-1111-111-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ6111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-11111-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-11
χ7111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-111-11-1-111111111-11111-1-1-1-1-1-1-11-11
χ8111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-111-1-1-11-1-1111111111-1-1-1-111-1-1111-11-1
χ911111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11-1-1-1-1111111-1-111-11111111-1-1-1-11-1-1-11-1-1-1-11111-1-1
χ1011111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11-1-1-1-11111-1-111-1-1-11111111-1-1-1-1-1111-111-1-1-1-1-1-111
χ1111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1111-1-1-1-1-1-1-111111-1-1-11-1-111-1-11-111
χ1211111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-11111-1111-1111111-11-1-1
χ1311111111111111111111111111111111-1-1-1-11-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-1-11
χ1411111111111111111111111111111111-1-1-1-11-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1111-1
χ1511111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1
χ1611111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111111-1-11
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+522222−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52000000
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+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+52-2-2-2-21+521+521−521−52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-21+521−521+521+521−521−521+521+521−521−5200000001+521−52000000
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+522-222-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−520000002-2−1−52−1+521+521+521−521−521+521+521−521−520000000−1−52−1+52000000
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+522-222-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521−521−52−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−52000000-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−52000000
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+52-22-2-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+521+521−5221+521+521−521−52−1−52−1−52−1+52−1+52000000-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52000000
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+52-22-2-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521−5221+521+521−521−52−1−52−1−52−1+52−1+520000002-21+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+52000000
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+52-2-2-2-221+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+522222−1−52−1−52−1+52−1+521+521−52-21+521+521−521−521+521+521−521−52000000-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52000000
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+52-2-2-2-21+521+521−521−521+521−52-21+521+521−521−521+521+521−521−52000000221+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+52000000
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+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52000000
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+52−1−5222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-21−521+521−521−521+521+521−521−521+521+5200000001−521+52000000
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+52−1−522-222-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+520000002-2−1+52−1−521−521−521+521+521−521−521+521+520000000−1+52−1−52000000
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+52−1−522-222-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521+521+52−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+52000000-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+52000000
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+52−1−52-22-2-2-2−1+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+5222-2-2−1+52−1+52−1−52−1−521−521+5221−521−521+521+52−1+52−1+52−1−52−1−52000000-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52000000
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+52−1−52-22-2-2-2−1+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+52-2-2221−521−521+521+521−521+5221−521−521+521+52−1+52−1+52−1−52−1−520000002-21−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−52000000
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+52−1−52-2-2-2-221−521−521+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+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−521−521+52-21−521−521+521+521−521−521+521+52000000-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52000000
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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521+52-21−521−521+521+521−521−521+521+52000000221−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−52000000
χ3322222-2-222222222222-2-222-2-2-2-2222222000000000000000-2-2-2-2000000002-200-2-2-2-2000000000002-200-2-2002200000000000020000-220000
χ3422222-2-222222222222-2-222-2-2-2-2222222000000000000000-2-2-2-2000000002-200-2-2-2-200000000000-2200220022000000000000-200002-20000
χ3522222-2-222222222222-2-222-2-2-2-2222222000000000000000-2-2-2-200000000-22002222000000000002-200-2-200-2-2000000000000200002-20000
χ3622222-2-222222222222-2-222-2-2-2-2222222000000000000000-2-2-2-200000000-2200222200000000000-22002200-2-2000000000000-20000-220000
χ372222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-1-12222-1-100000000000022-1-1-1-1-10000-1000
χ382222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-1-1-2-2-2-211000000000000-2-21111100001000
χ392222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-1-1-2-2-2-2-211-2-2-2-2-1-1-1-11111111100000000221-1-1-1-1111122-2-2-1-1000000000000-22-1-1-11100001000
χ402222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-1-1-2-2-2-2-211-2-2-2-2-1-1-1-11111111100000000221-1-1-1-11111-2-222110000000000002-2111-1-10000-1000
χ412222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2211-2222211-2-2-2-2-1-1-1-11111111100000000-2-2-11111-1-1-1-122-2-2-1-10000000000002-211-1110000-1000
χ422222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2211-2222211-2-2-2-2-1-1-1-11111111100000000-2-2-11111-1-1-1-1-2-22211000000000000-22-1-11-1-100001000
χ432222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2112-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-21111111112222-1-1000000000000-2-211-1-1-100001000
χ442222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2112-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2111111111-2-2-2-21100000000000022-1-11110000-1000
χ4544444-4-4−1−5−1+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+50000000000000001+51−51+51−5000000004-4001+51+51−51−50000000000000000000−1−5−1+500000000000000000000000
χ4644444-4-4−1−5−1+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+50000000000000001+51−51+51−500000000-4400−1−5−1−5−1+5−1+500000000000000000001+51−500000000000000000000000
χ4744444-4-4−1+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+5−1−50000000000000001−51+51−51+5000000004-4001−51−51+51+50000000000000000000−1+5−1−500000000000000000000000
χ4844444-4-4−1+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+5−1−50000000000000001−51+51−51+500000000-4400−1+5−1+5−1−5−1−500000000000000000001−51+500000000000000000000000
χ494444-244−1−5−1+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+521−5244-2-24−1−5−1−5−1+5−1+5-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−5200000000−1−5−1+5-21+521+521−521−521+521+521−521−52000000000000000000000000000000000
χ504444-244−1−5−1+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+521−524-4-2-2-41+51+51−51−5221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000−1−5−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000
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χ1048-88-8-4-88−2−25−2+25-4442+252−252+252−25−2−25−2+254-41+51−52+252−25−2−25−2+25−1−5−1+51+51−5−1−5−1+5000000000000000−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000000000
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χ1118-8-88-400−2+25−2−254-44−2+25−2−252−252+252−252+25001−51+500001−51+5−1+5−1−5−1+5−1−5000000000−262600000000−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+ζ1030000000000000000000000000000000000000000000000000000

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