Finite Group Databasebeta

← Group #12089486

Character table — Group #12089486

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222224444444444444444444888888888888888888888888888161616162020202020203232323232323232404040404040404040404080
order1222444455101010101010488888820202020202020202020202088840404040404040404040404040404040404040404040404044442222442020202020202020444448888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-1111
χ51111111111111111111-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1111-1-1-1-1-1-11
χ61111111111111111111-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1111111-1
χ71111111111111111111-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1111-1-1-1-1-111-1
χ81111111111111111111-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-111111-1-11
χ911111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-1111-1111-1-1-1-1-1
χ1011111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-1-1-1-1-11-1-1-111111
χ1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-111-1-11-1-111-1-1111
χ1211111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-11111-111-1-111-1-1-1
χ1311111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-1111-11-11-1-11111-1
χ1411111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111111-1-1-1-111-11-11-111-1-1-1-11
χ1511111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-11111-1-1-111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-11111-1-11-1-11111-1-111-1
χ1722222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-20000001−521+521−521+521−521+521−521+52000000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-2000000−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-220000001−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22000000−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-20000001−521+52−1+52−1−52−1+52−1−521−521+52000000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-20000001+521−521+521−521+521−521+521−52000000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-2000000−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-220000001+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22000000−1−52−1+521+521−521+521−52−1−52−1+52000000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-20000001+521−52−1−52−1+52−1−52−1+521+521−52000000000000
χ3322222-2-2222222222-22200002222-2-2-2-2-2-2-2-2-20022-2-222-2-2000000000000000000002222000000000000-2-200000000
χ3422222-2-2222222222-22200002222-2-2-2-2-2-2-2-2-20022-2-222-2-200000000000000000000-2-2-2-20000000000002200000000
χ3522222-2-2222222222-2-2-200002222-2-2-2-2-2-2-2-2200-2-222-2-2220000000000000000000022-2-2000000000000-2200000000
χ3622222-2-2222222222-2-2-200002222-2-2-2-2-2-2-2-2200-2-222-2-22200000000000000000000-2-2220000000000002-200000000
χ372222-222-222222222-20022-2-2-2-2-2-2-2-2-2-222220000000000022-2-222-2-2000000000000000022000000002-200-20000000
χ382222-222-222222222-20022-2-2-2-2-2-2-2-2-2-222220000000000022-2-222-2-20000000000000000-2-200000000-220020000000
χ392222-222-222222222-200-2-222-2-2-2-2-2-2-2-2222200000000000-2-222-2-22200000000000000002200000000-2-20020000000
χ402222-222-222222222-200-2-222-2-2-2-2-2-2-2-2222200000000000-2-222-2-2220000000000000000-2-2000000002200-20000000
χ4122-2-2200-22222-2-2-2-202-22−22−22-22-20000000002−22-2002-2002−22−22−22−222−2−222−2−200002-22-20000000000000002−22−2000
χ4222-2-2200-22222-2-2-2-202-22−22−22-22-20000000002−22-2002-2002−22−22−22−222−2−222−2−20000-22-22000000000000000−22−22000
χ4322-2-2200-22222-2-2-2-202-2−22−222-22-2000000000−222-2002-200−22−22−22−22−2−222−2−22200002-22-2000000000000000−22−22000
χ4422-2-2200-22222-2-2-2-202-2−22−222-22-2000000000−222-2002-200−22−22−22−22−2−222−2−2220000-22-220000000000000002−22−2000
χ4522-2-2200-22222-2-2-2-20-222−22−22-22-2000000000−22-2200-22002−22−22−22−2−2−222−2−22200002-2-220000000000000002−2−22000
χ4622-2-2200-22222-2-2-2-20-222−22−22-22-2000000000−22-2200-22002−22−22−22−2−2−222−2−2220000-222-2000000000000000−222−2000
χ4722-2-2200-22222-2-2-2-20-22−22−222-22-20000000002−2-2200-2200−22−22−22−2222−2−222−2−200002-2-22000000000000000−222−2000
χ4822-2-2200-22222-2-2-2-20-22−22−222-22-20000000002−2-2200-2200−22−22−22−2222−2−222−2−20000-222-20000000000000002−2−22000
χ4944444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4440000−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5-400−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000
χ5044444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-40000−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+54001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000
χ5144444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4440000−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5-400−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000
χ5244444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-40000−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−54001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000
χ534444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-40044-4-41−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−500000000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000
χ544444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-400-4-4441−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5000000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000
χ554444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-40044-4-41+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+500000000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000
χ564444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-400-4-4441+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5000000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000
χ574444-4-4-4-4444444444000000-4-4-4-44444-4-4-4-4000000000000000000000000000000000000000000000000000000000
χ584444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−540000001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500000000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000
χ594444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−540000001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000
χ604444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+540000001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000
χ614444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+540000001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000
χ6244-4-4400-4−1+5−1−5−1+5−1−51−51+51−51+504-422−2222−22−1+51−5−1−51+500000000022−22−1+51−500−1−51+500−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000
χ6344-4-4400-4−1+5−1−5−1+5−1−51−51+51−51+504-4−2222−2222−1+51−5−1−51+5000000000−2222−1+51−500−1−51+500ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000
χ6444-4-4400-4−1+5−1−5−1+5−1−51−51+51−51+50-4422−2222−22−1+51−5−1−51+5000000000−22221−5−1+5001+5−1−500−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000
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χ848-88-8000088-8-888-8-80000000000000000000000000000000000000000000000000000000000000000000000000000
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χ898-8-8808-80−2+25−2−252−252+252−252+25−2+25−2−25000000000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000
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χ928-8-880-880−2−25−2+252+252−252+252−25−2−25−2+250000000000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1).