Finite Group Databasebeta

← Group #13089019

Character table — Group #13089019

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222222222444444444444444444466666666888888888810101010121212121212121212121212121212121212181820202020202020242424243030303036363636606060609090
order1223355666610103666610101515151530303030303030302444202020201515303030303030303044121261010121212202020206060606060606060241212121212121230306060244410102020612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-111111111111111111111-1-1-1-111-1-11111111111-1-11111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
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
χ911-11111-1-111111-1-1-11-1-11111-1-1-1-111111-11-1111111-1-111-1-1-1-11-111111-11-1-1-1-1-11111-1-1-1-1-11-11-111-1-111-1-1-111-1-1-111-111-1-11
χ1011-11111-1-111111-1-1-11-1-11111-1-1-1-111111-11-1111111-1-111-1-1-1-1-11-1-1111-11-1-1-1-1-11111-1-1-1-1-111-11-1-11111-1-11-1-11-1-1111-1-111-1
χ1111-11111-1-111111-1-1-11-1-11111-1-1-1-111111-1-11-1-1-1-111-1-111-1-1-1-11-111111-1-11-1-111-1-1-1-111111-1-11-111-1-111-1-1-11-1111-1-1-11-111-1
χ1211-11111-1-111111-1-1-11-1-11111-1-1-1-111111-1-11-1-1-1-111-1-111-1-1-1-1-11-1-1111-1-11-1-111-1-1-1-111111-11-11-1-11111-1-11-11-111-1-11-11-1-11
χ1311-11111-1-111111-1-1-11-1-11111-1-1-1-11111-111-1111111-1-111-1-1-1-11-111-1-1-111-111-1-11111-1-1-1-11-1-11-111-1-1-1-1111-11-111-1-11-11-11-1
χ1411-11111-1-111111-1-1-11-1-11111-1-1-1-11111-111-1111111-1-111-1-1-1-1-11-1-1-1-1-111-111-1-11111-1-1-1-11-11-11-1-111-1-111-11-1111-1-1-11-11-11
χ1511-11111-1-111111-1-1-11-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1-1-11-111-1-1-11-111111-1-1-1-11111-11-11-111-1-1-1-1111-1-11-1-1111-1-11-11
χ1611-11111-1-111111-1-1-11-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1-11-111111-1-1-1-11111-111-11-1-111-1-111-111-1-1-111-111-11-1
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+5200002−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5222-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200002−1−52−1+522-2-2−1−52−1+521+521−521+521+521−521−521+521+521−521−52-2-20000000−1−52−1+52−1−52−1+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+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-21+521−52-2221+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200000001+521−521+521−5200001+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+520000-21+521−52-2-2-21+521−521+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+52−1−52−1−5200002−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52220000000−1+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+52−1−5222-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200002−1+52−1−522-2-2−1+52−1−521−521+521−521−521+521+521−521−521+521+52-2-20000000−1+52−1−52−1+52−1−5200001−521+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+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-21−521+52-2221−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200000001−521+521−521+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+52−1−52−1−520000-21−521+52-2-2-21−521+521−521+521−521−521+521+521−521−521+521+522200000001−521+521−521+520000−1+52−1−52−1+52−1−52000000
χ252222-12222-1222-1-1-1-1-12222-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-122-1-1-122-10022000000000000-122-1-1-1-1-1-1-1-122000000-1-10000
χ262222-12222-1222-1-1-1-1-12222-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1-2-211-122-100220000000000001-2-21111-1-1-1-1-2-2000000110000
χ272222-12222-1222-1-1-1-1-12222-1-12222-1-122-2-2000000-1-1-1-1-1-1-1-1-1-122-1-11-2-2100-2-2000000000000-122-1-1-1-11111-2-2000000110000
χ282222-12222-1222-1-1-1-1-12222-1-12222-1-122-2-2000000-1-1-1-1-1-1-1-1-1-1-2-2111-2-2100-2-20000000000001-2-21111111122000000-1-10000
χ29222-1222-1-12-122-12-1-1-122-1-122-1-1-1-122-1-100222222-1-122-1-1-1-1-1-122220000-1-10022-1-1-1-1-1-1-1-1002-1-1-1-1-1-100000022000000-1-100
χ30222-1222-1-12-122-12-1-1-122-1-122-1-1-1-122-1-100222222-1-122-1-1-1-1-1-1-2-2-2-20000-1-10022-1-1-1-1-1-1-1-100-2111111000000-2-20000001100
χ31222-1222-1-12-122-12-1-1-122-1-122-1-1-1-122-1-100-2-2-2-2-2-2-1-122-1-1-1-1-1-1222200001100-2-211111111002-1-1-1-1-1-1000000-2-20000001100
χ32222-1222-1-12-122-12-1-1-122-1-122-1-1-1-122-1-100-2-2-2-2-2-2-1-122-1-1-1-1-1-1-2-2-2-200001100-2-21111111100-211111100000022000000-1-100
χ3322-222−1−52−1+52-2-222−1−52−1+522-2-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+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+521−521−5200002−1−52−1+52-22-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-220000000−1−52−1+521+521−5200001+521−52−1−52−1+52000000
χ3422-222−1−52−1+52-2-222−1−52−1+522-2-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-2-221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−5200002−1−52−1+52-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-20000000−1−52−1+521+521−520000−1−52−1+521+521−52000000
χ3522-222−1−52−1+52-2-222−1−52−1+522-2-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-222-2−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-21+521−5222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-200000001+521−52−1−52−1+520000−1−52−1+521+521−52000000
χ3622-222−1−52−1+52-2-222−1−52−1+522-2-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-22-221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-21+521−522-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2200000001+521−52−1−52−1+5200001+521−52−1−52−1+52000000
χ3722-222−1+52−1−52-2-222−1+52−1−522-2-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+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+5200002−1+52−1−52-22-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-220000000−1+52−1−521−521+5200001−521+52−1+52−1−52000000
χ3822-222−1+52−1−52-2-222−1+52−1−522-2-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522-2-221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+5200002−1+52−1−52-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-20000000−1+52−1−521−521+520000−1+52−1−521−521+52000000
χ3922-222−1+52−1−52-2-222−1+52−1−522-2-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-222-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-21−521+5222-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-200000001−521+52−1+52−1−520000−1+52−1−521−521+52000000
χ4022-222−1+52−1−52-2-222−1+52−1−522-2-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-22-221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-21−521+522-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2200000001−521+52−1+52−1−5200001−521+52−1+52−1−52000000
χ4122-22-122-2-2-1222-1111-1-2-222-1-1-2-2-2-2-1-1222-2000000-1-111-1-111112-2-1-1-122100-2-200000000000012-2-1-111-1-111-220000001-10000
χ4222-22-122-2-2-1222-1111-1-2-222-1-1-2-2-2-2-1-1222-2000000-1-111-1-11111-2211-122100-2-2000000000000-1-2211-1-1-1-1112-2000000-110000
χ4322-22-122-2-2-1222-1111-1-2-222-1-1-2-2-2-2-1-122-22000000-1-111-1-111112-2-1-11-2-2-1002200000000000012-2-1-11111-1-12-2000000-110000
χ4422-22-122-2-2-1222-1111-1-2-222-1-1-2-2-2-2-1-122-22000000-1-111-1-11111-22111-2-2-10022000000000000-1-2211-1-111-1-1-220000001-10000
χ4522-2-1222112-122-1-211-1-2-2-1-122111122-1-1002-22222-1-1-2-2-1-111112-2220000-1100-2-2-1-1-1-1111100-2-11-1-1110000002-2000000-1100
χ4622-2-1222112-122-1-211-1-2-2-1-122111122-1-1002-22222-1-1-2-2-1-11111-22-2-20000-1100-2-2-1-1-1-111110021-111-1-1000000-220000001-100
χ4722-2-1222112-122-1-211-1-2-2-1-122111122-1-100-22-2-2-2-2-1-1-2-2-1-111112-22200001-100221111-1-1-1-100-2-11-1-111000000-220000001-100
χ4822-2-1222112-122-1-211-1-2-2-1-122111122-1-100-22-2-2-2-2-1-1-2-2-1-11111-22-2-200001-100221111-1-1-1-10021-111-1-10000002-2000000-1100
χ494444-2−1−5−1+544-24−1−5−1+5-2-2-2-2-2−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521−52−1−5−1+5440000001+521−521+521−521+521−521+521+521−521−520000-2−1−5−1+5-200−1−5−1+500000000000000000001+521−521+521−5200000000000000
χ504444-2−1−5−1+544-24−1−5−1+5-2-2-2-2-2−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521−52−1−5−1+5-4-40000001+521−521+521−521+521−521+521+521−521−52000021+51−52001+51−50000000000000000000−1−52−1+52−1−52−1+5200000000000000
χ514444-2−1+5−1−544-24−1+5−1−5-2-2-2-2-2−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521+52−1+5−1−5440000001−521+521−521+521−521+521−521−521+521+520000-2−1+5−1−5-200−1+5−1−500000000000000000001−521+521−521+5200000000000000
χ524444-2−1+5−1−544-24−1+5−1−5-2-2-2-2-2−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521+52−1+5−1−5-4-40000001−521+521−521+521−521+521−521−521+521+52000021−51+52001−51+50000000000000000000−1+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+51+521−52−1−5−1+51+521+521−521−52−1−5−1+51+521−520044−1−5−1−5−1+5−1+51+521−52−1−5−1+51+521−521+521+521−521−5200000000-2-200−1−5−1+51+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+51+521−52−1−5−1+51+521+521−521−52−1−5−1+51+521−5200-4-41+51+51−51−51+521−52−1−5−1+51+521−521+521+521−521−520000000022001+51−5−1−52−1−52−1+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+5−1−51−521+52−1+5−1−51−521−521+521+52−1+5−1−51−521+520044−1+5−1+5−1−5−1−51−521+52−1+5−1−51−521+521−521−521+521+5200000000-2-200−1+5−1−51−521−521+521+521−521−521+521+52000000000000000000000000000
χ56444-24−1+5−1−5-2-24-2−1+5−1−5-24-2-2-2−1+5−1−51−521+52−1+5−1−51−521−521+521+52−1+5−1−51−521+5200-4-41−51−51+51+51−521+52−1+5−1−51−521+521−521−521+521+520000000022001−51+5−1+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+5-2222-21+51−5−1−5−1+51+521−521+51+51−51−51+521−52−1−5−1+54-40000001+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+520000-2−1−5−1+52001+51−500000000000000000001+521−52−1−52−1+5200000000000000
χ6044-44-2−1−5−1+5-4-4-24−1−5−1+5-2222-21+51−5−1−5−1+51+521−521+51+51−51−51+521−52−1−5−1+5-440000001+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52000021+51−5-200−1−5−1+50000000000000000000−1−52−1+521+521−5200000000000000
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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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χ988-80-4-4−2+25−2−25−4i34i3442−252+25202i3−2i3-2001−51+51−51+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−5−1+5−1−500000000−1+52−1−52001−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000000000000000000000
χ998-80-4-4−2+25−2−254i3−4i3442−252+2520−2i32i3-2001−51+51−51+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−5−1+5−1−500000000−1+52−1−52001−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000000000000000000000000

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