Finite Group Databasebeta

← Group #13088998

Character table — Group #13088998

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222222222444444444444444444466666666888888888810101010121212121212121212121212121212121212181820202020202020242424243030303036363636606060609090
order12233556666101036666101015151515303030303030303022241010101015153030303030303030226666610101010122020303030303030303024666666630306060244410102020612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-111111111-1-11111111-1-1-1-1-111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-111111111111111-1-1-1-111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-111
χ511111111111111111111111111111111-1-111-1-1-1-111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911-11111-1-111111-11-1-1-1-1111111-1-1-1-1111-11-1111111-1-111-1-1-1-11-1111-11-1-111-1-1-11111-1-1-1-11-11-1-111-1-111-1-111-1-111-1-11-11-1-11
χ1011-11111-1-111111-11-1-1-1-1111111-1-1-1-1111-11-1111111-1-111-1-1-1-1-11-1-11-11-1-111-1-1-11111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-11-111-1
χ1111-11111-1-111111-11-1-1-1-1111111-1-1-1-1111-1-11111111-1-111-1-1-1-11-1111-1-1-1-1-1-11111111-1-1-1-1-111-1-111-1-1-1-111-11-11-1-111-111-11-1
χ1211-11111-1-111111-11-1-1-1-1111111-1-1-1-1111-1-11111111-1-111-1-1-1-1-11-1-11-1-1-1-1-1-11111111-1-1-1-1-11-111-1-111-1-1111-11-1-1-1111-1-11-11
χ1311-11111-1-111111-11-1-1-1-1111111-1-1-1-111-111-1-1-1-1-111-1-111-1-1-1-11-111-1111111-1-1-1-1-1-1-11111-111-1-111-1-111-1-11-11-1-1-1111-1-111-1
χ1411-11111-1-111111-11-1-1-1-1111111-1-1-1-111-111-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-11111-11-111-1-11111-1-1-11-11-1-111-111-1-11
χ1511-11111-1-111111-11-1-1-1-1111111-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-11-111-11-111-1-1111-1-1-1-111111-11-1-111-1-1-1-111-1-11111-1-1-11-11-11
χ1611-11111-1-111111-11-1-1-1-1111111-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-1-11-1-1-11-111-1-1111-1-1-1-111111-1-111-1-111-1-11111-1-111-1-11-11-11-1
χ1722222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52220000000−1+52−1−52−1+52−1−520000−1+52−1−52−1+52−1−52000000
χ1822222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000022-2−1+52−1−521−521+52-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200000001−521+521−521+5200001−521+521−521+52000000
χ1922222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-221−521+52−1+52−1−522−1+52−1−521−521−521+521+521−521−521+521+52-2-20000000−1+52−1−52−1+52−1−5200001−521+521−521+52000000
χ2022222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-2-21−521+521−521+52-21−521+521−521−521+521+521−521−521+521+522200000001−521+521−521+520000−1+52−1−52−1+52−1−52000000
χ2122222−1−52−1+522222−1−52−1+5222222−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52220000000−1−52−1+52−1−52−1+520000−1−52−1+52−1−52−1+52000000
χ2222222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000022-2−1−52−1+521+521−52-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200000001+521−521+521−5200001+521−521+521−52000000
χ2322222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-221+521−52−1−52−1+522−1−52−1+521+521+521−521−521+521+521−521−52-2-20000000−1−52−1+52−1−52−1+5200001+521−521+521−52000000
χ2422222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-2-21+521−521+521−52-21+521−521+521+521−521−521+521+521−521−522200000001+521−521+521−520000−1−52−1+52−1−52−1+52000000
χ252222-12222-1222-1-1-1-1-122-1-122222222-1-100220000-1-1-1-1-1-1-1-1-1-122-1-100-10022-122000000000022-1-1-1-1-1-1-1-1-120020000-1-10000
χ262222-12222-1222-1-1-1-1-122-1-122222222-1-100220000-1-1-1-1-1-1-1-1-1-1-2-21100-10022-1220000000000-2-211111-1-1-1-1-200-20000110000
χ272222-12222-1222-1-1-1-1-122-1-122222222-1-100-2-20000-1-1-1-1-1-1-1-1-1-122-1-100100-2-21-2-2000000000022-1-1-1-1-11111-200-20000110000
χ282222-12222-1222-1-1-1-1-122-1-122222222-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-2-21100100-2-21-2-20000000000-2-211111111120020000-1-10000
χ29222-1222-1-12-122-12-1-1-12222-1-1-1-1-1-1-1-12222002222-1-122-1-1-1-1-1-12222-1-102200000-1-1-1-1-1-1-1-100-1-12-1-1-1-100000220000000-1-100
χ30222-1222-1-12-122-12-1-1-12222-1-1-1-1-1-1-1-12222002222-1-122-1-1-1-1-1-1-2-2-2-2-1-102200000-1-1-1-1-1-1-1-10011-2111100000-2-200000001100
χ31222-1222-1-12-122-12-1-1-12222-1-1-1-1-1-1-1-122-2-200-2-2-2-2-1-122-1-1-1-1-1-12222110-2-2000001111111100-1-12-1-1-1-100000-2-200000001100
χ32222-1222-1-12-122-12-1-1-12222-1-1-1-1-1-1-1-122-2-200-2-2-2-2-1-122-1-1-1-1-1-1-2-2-2-2110-2-200000111111110011-2111100000220000000-1-100
χ3322-222−1+52−1−52-2-222−1+52−1−522-22-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−522-22-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+5200002-221−521+52−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+522-20000000−1+52−1−521−521+520000−1+52−1−521−521+52000000
χ3422-222−1+52−1−52-2-222−1+52−1−522-22-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+5200002-2-21−521+521−521+522−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2200000001−521+52−1+52−1−5200001−521+52−1+52−1−52000000
χ3522-222−1+52−1−52-2-222−1+52−1−522-22-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52-222-21−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-222−1+52−1−52−1+52−1−52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52-220000000−1+52−1−521−521+5200001−521+52−1+52−1−52000000
χ3622-222−1+52−1−52-2-222−1+52−1−522-22-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52-22-221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-22-2−1+52−1−521−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-200000001−521+52−1+52−1−520000−1+52−1−521−521+52000000
χ3722-222−1−52−1+52-2-222−1−52−1+522-22-2-21+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522-22-2−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−5200002-221+521−52−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−522-20000000−1−52−1+521+521−520000−1−52−1+521+521−52000000
χ3822-222−1−52−1+52-2-222−1−52−1+522-22-2-21+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−5200002-2-21+521−521+521−522−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2200000001+521−52−1−52−1+5200001+521−52−1−52−1+52000000
χ3922-222−1−52−1+52-2-222−1−52−1+522-22-2-21+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52-222-21+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-222−1−52−1+52−1−52−1+52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52-220000000−1−52−1+521+521−5200001+521−52−1−52−1+52000000
χ4022-222−1−52−1+52-2-222−1−52−1+522-22-2-21+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52-22-221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-22-2−1−52−1+521+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-200000001+521−52−1−52−1+520000−1−52−1+521+521−52000000
χ4122-22-122-2-2-1222-11-111-2-2-1-12222-2-2-2-2-1-1002-20000-1-111-1-111112-2-1-100-100221-2-200000000002-21-1-111-1-111200-20000-110000
χ4222-22-122-2-2-1222-11-111-2-2-1-12222-2-2-2-2-1-1002-20000-1-111-1-11111-221100-100221-2-20000000000-22-111-1-1-1-111-200200001-10000
χ4322-22-122-2-2-1222-11-111-2-2-1-12222-2-2-2-2-1-100-220000-1-111-1-111112-2-1-100100-2-2-12200000000002-21-1-11111-1-1-200200001-10000
χ4422-22-122-2-2-1222-11-111-2-2-1-12222-2-2-2-2-1-100-220000-1-111-1-11111-221100100-2-2-1220000000000-22-111-1-111-1-1200-20000-110000
χ4522-2-1222112-122-1-2-111-2-222-1-1-1-11111222-2002222-1-1-2-2-1-111112-222-110-2-200000-1-1-1-1111100-11-2-1-111000002-20000000-1100
χ4622-2-1222112-122-1-2-111-2-222-1-1-1-11111222-2002222-1-1-2-2-1-11111-22-2-2-110-2-200000-1-1-1-11111001-1211-1-100000-2200000001-100
χ4722-2-1222112-122-1-2-111-2-222-1-1-1-1111122-2200-2-2-2-2-1-1-2-2-1-111112-2221-1022000001111-1-1-1-100-11-2-1-11100000-2200000001-100
χ4822-2-1222112-122-1-2-111-2-222-1-1-1-1111122-2200-2-2-2-2-1-1-2-2-1-11111-22-2-21-1022000001111-1-1-1-1001-1211-1-1000002-20000000-1100
χ494444-2−1+5−1−544-24−1+5−1−5-2-2-2-2-2−1+5−1−51−521+52−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−521+52004400001−521+521−521+521−521+521−521−521+521+52000000-200−1+5−1−5-2−1+5−1−5000000000000000001−521+521−521+5200000000000000
χ504444-2−1+5−1−544-24−1+5−1−5-2-2-2-2-2−1+5−1−51−521+52−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−521+5200-4-400001−521+521−521+521−521+521−521−521+521+520000002001−51+521−51+500000000000000000−1+52−1−52−1+52−1−5200000000000000
χ514444-2−1−5−1+544-24−1−5−1+5-2-2-2-2-2−1−5−1+51+521−52−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+521−52004400001+521−521+521−521+521−521+521+521−521−52000000-200−1−5−1+5-2−1−5−1+5000000000000000001+521−521+521−5200000000000000
χ524444-2−1−5−1+544-24−1−5−1+5-2-2-2-2-2−1−5−1+51+521−52−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+521−5200-4-400001+521−521+521−521+521−521+521+521−521−520000002001+51−521+51−500000000000000000−1−52−1+52−1−52−1+5200000000000000
χ53444-24−1+5−1−5-2-24-2−1+5−1−5-24-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52−1+5−1−54400−1+5−1+5−1−5−1−51−521+52−1+5−1−51−521+521−521−521+521+520000-2-20−1+5−1−5000001−521−521+521+521−521−521+521+52000000000000000000000000000
χ54444-24−1+5−1−5-2-24-2−1+5−1−5-24-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52−1+5−1−5-4-4001−51−51+51+51−521+52−1+5−1−51−521+521−521−521+521+5200002201−51+500000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000
χ55444-24−1−5−1+5-2-24-2−1−5−1+5-24-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52−1−5−1+54400−1−5−1−5−1+5−1+51+521−52−1−5−1+51+521−521+521+521−521−520000-2-20−1−5−1+5000001+521+521−521−521+521+521−521−52000000000000000000000000000
χ56444-24−1−5−1+5-2-24-2−1−5−1+5-24-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52−1−5−1+5-4-4001+51+51−51−51+521−52−1−5−1+51+521−521+521+521−521−5200002201+51−500000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000
χ57444-2-244-2-2-2-2441-211144-2-2-2-2-2-2-2-2-2-2-2-20000000011-2-211111144-2-200000000000000000000-2-2-21111000000000000000000
χ58444-2-244-2-2-2-2441-211144-2-2-2-2-2-2-2-2-2-2-2-20000000011-2-2111111-4-42200000000000000000000222-1-1-1-1000000000000000000
χ5944-44-2−1+5−1−5-4-4-24−1+5−1−5-22-2221−51+51−521+52−1+5−1−5−1+5−1−51−51−51+51+51−521+52004-400001−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52000000-200−1+5−1−521−51+5000000000000000001−521+52−1+52−1−5200000000000000
χ6044-44-2−1+5−1−5-4-4-24−1+5−1−5-22-2221−51+51−521+52−1+5−1−5−1+5−1−51−51−51+51+51−521+5200-4400001−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−520000002001−51+5-2−1+5−1−500000000000000000−1+52−1−521−521+5200000000000000
χ6144-44-2−1−5−1+5-4-4-24−1−5−1+5-22-2221+51−51+521−52−1−5−1+5−1−5−1+51+51+51−51−51+521−52004-400001+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52000000-200−1−5−1+521+51−5000000000000000001+521−52−1−52−1+5200000000000000
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χ784-40-24−1+5−1−52i3−2i3-421−51+5-2022i3−2i300−1+5−1−51−521+52−1+52−1−52ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ141−51+500002ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ141−521+5200−1+52−1−52ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ1400000000000000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14000000000000000000000000000
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χ90888-4-4−2+25−2−25-4-4-4-4−2+25−2−252-4222−2+25−2−251−51+51−51+51−51+51−51−51+51+51−51+500000000−1+52−1−521−51+5−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000
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χ9288-8-4-4−2+25−2−2544-4-4−2+25−2−25242-2-22−252+251−51+51−51+51−51+5−1+5−1+5−1−5−1−51−51+500000000−1+52−1−52−1+5−1−5−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000
χ9388-8-4-4−2−25−2+2544-4-4−2−25−2+25242-2-22+252−251+51−51+51−51+51−5−1−5−1−5−1+5−1+51+51−500000000−1−52−1+52−1−5−1+5−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000
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χ968-80-4-4−2+25−2−254i3−4i3442−252+2520-2−2i32i3001−51+51−51+5−1+5−1−52ζ2−2ζ7+2ζ8−2ζ13−2ζ2+2ζ7−2ζ8+2ζ13−2ζ−2ζ4+2ζ11+2ζ142ζ+2ζ4−2ζ11−2ζ14−1+5−1−500000000−1+52−1−52001−521+52−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ140000000000000000000000000000000000000000000000000
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χ998-80-4-4−2−25−2+25−4i34i3442+252−2520-22i3−2i3001+51−51+51−5−1−5−1+52ζ+2ζ4−2ζ11−2ζ14−2ζ−2ζ4+2ζ11+2ζ14−2ζ2+2ζ7−2ζ8+2ζ132ζ2−2ζ7+2ζ8−2ζ13−1−5−1+500000000−1−52−1+52001+521−52−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ130000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.