Finite Group Databasebeta

← Group #12075855

Character table — Group #12075855

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222444444444448888888888888888888888888881010161616161616161616161616161616161616202020202032324040404040404040408080
order1222444455101010101010444202020202020202024444888810101010202020202020404040404040404022482020202020202020404040404040404044444202022444888848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-11-111-1-11-1
χ6111111111111111111111111111-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111111-11-1-111-11
χ7111111111111111111111111111-1-1-11-1-1-111-1-1-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-11-1-1-111-11
χ8111111111111111111111111111-1-1-11-1-1-111-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1111-1-11-1
χ91111111111111111-1-11111111111-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11-111111-1-1
χ101111111111111111-1-11111111111-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-11-1-1-1-1-111
χ111111111111111111-1-11111111111-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-111-1-11-11-1-1-1-111
χ121111111111111111-1-11111111111-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-11-11111-1-1
χ131111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111111-1-1-1-111111111111-1-1-1-111-1-1-111-1-1-11
χ141111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-111-1-1-1-1111-1-1111-1
χ151111111111111111-1-1111111111-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1111-1
χ161111111111111111-1-1111111111-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-11
χ1722222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−520022−1+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+52−1−52−1−5200000−1+52−1−5200000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000001−521+5200000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22-222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52002-21−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000−1+52−1−5200000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-221−521−521+521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000001−521+5200000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-222222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-21−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000001−521+5200000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-22-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+5200221−521−521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000−1+52−1−5200000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+5200-22−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+5200000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002-2−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+5200000−1+52−1−5200000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1−52−1+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+52−1+52−1+520022−1−52−1−52−1+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+5200000−1−52−1+5200000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000001+521−5200000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52002-21+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000−1−52−1+5200000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-221+521+521−521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000001+521−5200000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-222222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-21+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000001+521−5200000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−5200221+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000−1−52−1+5200000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-222-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−5200-22−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000001+521−5200000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002-2−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−5200000−1−52−1+5200000000000
χ3322222-2-222222222222-2-2-222-2-222000-20000000002222-2-20000000022000000-2-20000000000-2-22-2-20000020000000
χ3422222-2-222222222222-2-2-222-2-222000-20000000002222-2-200000000-2-2000000-2-2000000000022-22200000-20000000
χ3522222-2-2222222222-2-2-2-2-222-2-2220002000000000-2-2-2-2-2-20000000022000000220000000000-2-222200000-20000000
χ3622222-2-2222222222-2-2-2-2-222-2-2220002000000000-2-2-2-2-2-200000000-2-200000022000000000022-2-2-20000020000000
χ372222-222-22222222200-222-2-222-2-22000-2000022220000-2-2000000002200000000-2-2000000002-2-2000000-202000000
χ382222-222-22222222200-222-2-222-2-22000-2000022220000-2-200000000-2-200000000-2-200000000-22200000020-2000000
χ392222-222-22222222200-222-2-222-2-2-200020000-2-2-2-20000-2-200000000220000000022000000002-2-200000020-2000000
χ402222-222-22222222200-222-2-222-2-2-200020000-2-2-2-20000-2-200000000-2-2000000002200000000-222000000-202000000
χ412222-2-2-2-222222222002-2-2-2-2-2-2-2-202-200000000000000220000000022002-22-2000000000000-22-200002-2000000000
χ422222-2-2-2-222222222002-2-2-2-2-2-2-2-202-2000000000000002200000000-2-2002-22-20000000000002-220000-22000000000
χ432222-2-2-2-222222222002-2-2-2-2-2-2-2-20-220000000000000022000000002200-22-22000000000000-22-20000-22000000000
χ442222-2-2-2-222222222002-2-2-2-2-2-2-2-20-22000000000000002200000000-2-200-22-220000000000002-2200002-2000000000
χ4544444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-41−51+5−1+5−1−51−51+5−1+5−1−5000-4000000000−1+5−1+5−1−5−1−51−51+500000000000000001−51+50000000000000000000000000000
χ4644444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-41−51+5−1+5−1−51−51+5−1+5−1−500040000000001−51−51+51+51−51+50000000000000000−1+5−1−50000000000000000000000000000
χ4744444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-41+51−5−1−5−1+51+51−5−1−5−1+5000-4000000000−1−5−1−5−1+5−1+51+51−500000000000000001+51−50000000000000000000000000000
χ4844444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-41+51−5−1−5−1+51+51−5−1−5−1+500040000000001+51+51−51−51+51−50000000000000000−1−5−1+50000000000000000000000000000
χ494444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-4−1+5−1−51−51+5−1+5−1−51−51+54000-40000−1+5−1+5−1−5−1−500001−51+50000000000000000001−51+500000000000000000000000000
χ504444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-4−1+5−1−51−51+5−1+5−1−51−51+5-4000400001−51−51+51+500001−51+5000000000000000000−1+5−1−500000000000000000000000000
χ514444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-4−1−5−1+51+51−5−1−5−1+51+51−54000-40000−1−5−1−5−1+5−1+500001+51−50000000000000000001+51−500000000000000000000000000
χ524444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-4−1−5−1+51+51−5−1−5−1+51+51−5-4000400001+51+51−51−500001+51−5000000000000000000−1−5−1+500000000000000000000000000
χ534444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50041−51+51−51+51−51+51−51+504-400000000000000−1+5−1−5000000000000−1+51−5−1−51+5000000000000000000000000000000
χ544444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50041−51+51−51+51−51+51−51+50-4400000000000000−1+5−1−50000000000001−5−1+51+5−1−5000000000000000000000000000000
χ554444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50041+51−51+51−51+51−51+51−504-400000000000000−1−5−1+5000000000000−1−51+5−1+51−5000000000000000000000000000000
χ564444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50041+51−51+51−51+51−51+51−50-4400000000000000−1−5−1+50000000000001+5−1−51−5−1+5000000000000000000000000000000
χ5744-4-404-404444-4-4-4-4000-4-40044000000000000000000000000000000000000000000000000000000000000022−220000
χ5844-4-404-404444-4-4-4-4000-4-400440000000000000000000000000000000000000000000000000000000000000−22220000
χ5944-4-40-4404444-4-4-4-40004400-4-4000000022−220000000000000000000000000000000022−2222−220000000000000000000000
χ6044-4-40-4404444-4-4-4-40004400-4-40000000−222200000000000000000000000000000000−2222−22220000000000000000000000
χ6144-4-40-440−1+5−1−5−1+5−1−51−51+51−51+5000−1+5−1−5001−51+5000000022−22002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000
χ6244-4-40-440−1+5−1−5−1+5−1−51−51+51−51+5000−1+5−1−5001−51+5000000022−2200−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000
χ6344-4-40-440−1+5−1−5−1+5−1−51−51+51−51+5000−1+5−1−5001−51+50000000−2222002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000
χ6444-4-40-440−1+5−1−5−1+5−1−51−51+51−51+5000−1+5−1−5001−51+50000000−222200−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.