Finite Group Databasebeta

← Group #12080909

Character table — Group #12080909

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122222222444888888888888888810101010161616161616161616161616161616161616161616161616161620203232404040404040404040408080
order1222551010101010104442444448888202020202020224448101020202020202020202020404040404040404040404040442020444444888848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-11-1-111111111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ61111111111111111-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-11-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1
χ9111111111111111-11-1-11-111-1-111111111111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11-11-111-1-11-1
χ10111111111111111-11-1-11-111-1-1111111-1-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-11
χ11111111111111111-11-1-11-1-1-1111111111111-11-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11-11-1-1-111-11
χ12111111111111111-11-1-11-1-1-111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11-1111-1-11-1
χ13111111111111111-1-11-1-1111-1-11111111111-11-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11-1111-1-1-11
χ14111111111111111-1-11-1-1111-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-11-1-1-1111-1
χ15111111111111111-1-11-1-11-1-11111111111111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-11-11-1-1111-1
χ16111111111111111-1-11-1-11-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-1-11
χ172222222222222-2-200200-2000022-2-2-2-22222000000220000-2-2000000000000-2-20000020-2000000
χ182222222222222-2-200200-2000022-2-2-2-2-2-2-2-2000000220000-2-20000000000002200000-202000000
χ192222222222222-2-200-2002000022-2-2-2-22222000000-2-2000022000000000000-2-200000-202000000
χ202222222222222-2-200-2002000022-2-2-2-2-2-2-2-2000000-2-2000022000000000000220000020-2000000
χ21222222222222-22-20200-200000-2-222-2-222-2-20000220000-2-2000000000000002-20000-2020000000
χ22222222222222-22-20200-200000-2-222-2-2-2-2220000220000-2-200000000000000-22000020-20000000
χ23222222222222-22-20-200200000-2-222-2-222-2-20000-2-2000022000000000000002-2000020-20000000
χ24222222222222-22-20-200200000-2-222-2-2-2-2220000-2-200002200000000000000-220000-2020000000
χ25222222222222-2-22200-2000000-2-2-2-22222-2-200220000-2-20000000000000000-22002-20000000000
χ26222222222222-2-22200-2000000-2-2-2-222-2-22200220000-2-200000000000000002-200-220000000000
χ27222222222222-2-22-2002000000-2-2-2-22222-2-200-2-20000220000000000000000-2200-220000000000
χ28222222222222-2-22-2002000000-2-2-2-222-2-22200-2-200002200000000000000002-2002-20000000000
χ292222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222222−1+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+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52000000000000
χ302222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−520000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52001−521+52000000000000
χ312222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-22-2-22222−1+52−1−52−1+52−1−52−1+52−1−520000-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52001−521+52000000000000
χ322222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-22-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52000022−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−52000000000000
χ332222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-22-2-22-222-2-2−1+52−1−52−1+52−1−52−1+52−1−5200002-21−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52000000000000
χ342222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-22-2-22-2-2-222−1+52−1−52−1+52−1−52−1+52−1−520000-221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+52000000000000
χ352222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-22-2-2222-2-2−1+52−1−52−1+52−1−52−1+52−1−520000-221−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52000000000000
χ362222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-22-2-22-2-222−1+52−1−52−1+52−1−52−1+52−1−5200002-21−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−52000000000000
χ372222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222222−1−52−1+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+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+5200−1−52−1+52000000000000
χ382222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+520000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52001+521−52000000000000
χ392222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-22-2-22222−1−52−1+52−1−52−1+52−1−52−1+520000-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52001+521−52000000000000
χ402222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-22-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52000022−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+52000000000000
χ412222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-22-2-22-222-2-2−1−52−1+52−1−52−1+52−1−52−1+5200002-21+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52000000000000
χ422222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-22-2-22-2-2-222−1−52−1+52−1−52−1+52−1−52−1+520000-221+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−52000000000000
χ432222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-22-2-2222-2-2−1−52−1+52−1−52−1+52−1−52−1+520000-221+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52000000000000
χ442222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-22-2-22-2-222−1−52−1+52−1−52−1+52−1−52−1+5200002-21+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+52000000000000
χ454444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-4-400400-40000−1+5−1−51−51+51−51+50000000000−1+5−1−500001−51+50000000000000000000000000000
χ464444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-4-400-40040000−1+5−1−51−51+51−51+500000000001−51+50000−1+5−1−50000000000000000000000000000
χ474444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-40400-4000001−51+5−1+5−1−51−51+500000000−1+5−1−500001−51+5000000000000000000000000000000
χ484444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-40-4004000001−51+5−1+5−1−51−51+5000000001−51+50000−1+5−1−5000000000000000000000000000000
χ494444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-44400-40000001−51+51−51+5−1+5−1−5000000−1+5−1−500001−51+500000000000000000000000000000000
χ504444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-44-40040000001−51+51−51+5−1+5−1−50000001−51+50000−1+5−1−500000000000000000000000000000000
χ514444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-4-400400-40000−1−5−1+51+51−51+51−50000000000−1−5−1+500001+51−50000000000000000000000000000
χ524444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-4-400-40040000−1−5−1+51+51−51+51−500000000001+51−50000−1−5−1+50000000000000000000000000000
χ534444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-40400-4000001+51−5−1−5−1+51+51−500000000−1−5−1+500001+51−5000000000000000000000000000000
χ544444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-40-4004000001+51−5−1−5−1+51+51−5000000001+51−50000−1−5−1+5000000000000000000000000000000
χ554444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-44400-40000001+51−51+51−5−1−5−1+5000000−1−5−1+500001+51−500000000000000000000000000000000
χ564444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-44-40040000001+51−51+51−5−1−5−1+50000001+51−50000−1−5−1+500000000000000000000000000000000
χ5744-4-4444-44-4-4-4000000000002-2000000004-40000000000000000002-22-200000000000000002-200
χ5844-4-4444-44-4-4-4000000000002-200000000-440000000000000000002-22-20000000000000000-2200
χ5944-4-4444-44-4-4-400000000000-22000000004-4000000000000000000-22-220000000000000000-2200
χ6044-4-4444-44-4-4-400000000000-2200000000-44000000000000000000-22-2200000000000000002-200
χ614-44-444-44-44-4-40000000002-2000000004-400000000000000002-22-20000000000000000002-20000
χ624-44-444-44-44-4-40000000002-200000000-4400000000000000002-22-2000000000000000000-220000
χ634-44-444-44-44-4-4000000000-22000000004-40000000000000000-22-22000000000000000000-220000
χ644-44-444-44-44-4-4000000000-2200000000-440000000000000000-22-220000000000000000002-20000
χ6588-8-8−2+25−2−25−2+252−25−2−252+252−252+25000000000004-40000000000000000000000000000−1+51−5−1−51+500000000000000000000
χ6688-8-8−2+25−2−25−2+252−25−2−252+252−252+2500000000000-4400000000000000000000000000001−5−1+51+5−1−500000000000000000000
χ6788-8-8−2−25−2+25−2−252+25−2+252−252+252−25000000000004-40000000000000000000000000000−1−51+5−1+51−500000000000000000000
χ6888-8-8−2−25−2+25−2−252+25−2+252−252+252−2500000000000-4400000000000000000000000000001+5−1−51−5−1+500000000000000000000
χ698-88-8−2+25−2−252−25−2+252+25−2−252−252+250000000004-400000000000000000000000000−1+51−5−1−51+5000000000000000000000000
χ708-88-8−2+25−2−252−25−2+252+25−2−252−252+25000000000-44000000000000000000000000001−5−1+51+5−1−5000000000000000000000000
χ718-88-8−2−25−2+252+25−2−252−25−2+252+252−250000000004-400000000000000000000000000−1−51+5−1+51−5000000000000000000000000
χ728-88-8−2−25−2+252+25−2−252−25−2+252+252−25000000000-44000000000000000000000000001+5−1−51−5−1+5000000000000000000000000
χ738-8-8888-8-8-8-88800000000000000000000000000000000000000000000000000000000000000000
χ748-8-88−2+25−2−252−252−252+252+25−2+25−2−250000000000000000000000000000000000000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000
χ758-8-88−2+25−2−252−252−252+252+25−2+25−2−25000000000000000000000000000000000000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000000000000000
χ768-8-88−2−25−2+252+252+252−252−25−2−25−2+250000000000000000000000000000000000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000
χ778-8-88−2−25−2+252+252+252−252−25−2−25−2+25000000000000000000000000000000000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).