Finite Group Databasebeta

← Group #12011926

Character table — Group #12011926

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222444444888888888888161616161616161616161616161616161616161616161616161616161616164040404040408080808080
order1222225510101010101022101010104444101010102020202024488101010102020202020202020202020202020404040404040404044444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ411111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1
χ611111111111111111111-1-111111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111
χ711111111111111111111-1-11111111111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-111
χ811111111111111111111-1-11111111111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1
χ92222222222222222222200-2-22222-2-2-2-20000000000000-2-200000000000000002200-2-200000
χ102222222222222222222200-2-22222-2-2-2-20000000000000-2-20000000000000000-2-2002200000
χ1122222222222222-2-2222200-22-2-2-2-2-2-2-2-20000000000000220000000000000000002200-20000
χ1222222222222222-2-2222200-22-2-2-2-2-2-2-2-2000000000000022000000000000000000-2-20020000
χ1322222222222222-2-22222222-2-2-2-2-222220-200000000000-2-2-2-2-2-222220000000000000000000
χ1422222222222222-2-22222-2-22-2-2-2-2-222220200000000000-2-22222-2-2-2-20000000000000000000
χ15222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000
χ16222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000000
χ17222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+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+521−521−521−521−521+521+521+521+5200000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52222-21−521−521+521+52−1+52−1+52−1−52−1−520-2000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52222-21−521−521+521+52−1+52−1+52−1−52−1−520-2000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1−52−1−5202000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1−52−1−5202000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000
χ24222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000000
χ25222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−5200000000000
χ26222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52222-21+521+521−521−52−1−52−1−52−1+52−1+520-2000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52222-21+521+521−521−52−1−52−1−52−1+52−1+520-2000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52-2-22-21+521+521−521−52−1−52−1−52−1+52−1+5202000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52-2-22-21+521+521−521−52−1−52−1−52−1+52−1+5202000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000000
χ312-2-222-222-2-222-2-22-222-2-200002-22-20000000i2−i2000000000000000000i2−i2i2−i2i2−i2i2−i200002i−2i0002−2
χ322-2-222-222-2-222-2-22-222-2-200002-22-20000000i2−i2000000000000000000i2−i2i2−i2i2−i2i2−i20000−2i2i000−22
χ332-2-222-222-2-222-2-22-222-2-200002-22-20000000−i2i2000000000000000000−i2i2−i2i2−i2i2−i2i200002i−2i000−22
χ342-2-222-222-2-222-2-22-222-2-200002-22-20000000−i2i2000000000000000000−i2i2−i2i2−i2i2−i2i20000−2i2i0002−2
χ35444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544−1+5−1−5−1+5−1−500-4-4−1+5−1+5−1−5−1−51−51−51+51+500000000000001−51+5000000000000000000000000000
χ36444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−500-441−51−51+51+51−51−51+51+50000000000000−1+5−1−5000000000000000000000000000
χ37444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544−1−5−1+5−1−5−1+500-4-4−1−5−1−5−1+5−1+51+51+51−51−500000000000001+51−5000000000000000000000000000
χ38444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+500-441+51+51−51−51+51+51−51−50000000000000−1−5−1+5000000000000000000000000000
χ394444-4-44444444400-4-4-4-400000000000020-2002222-2-2-2-200000000000000000000000000000
χ404444-4-44444444400-4-4-4-4000000000000-20200-2-2-2-2222200000000000000000000000000000
χ414444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5001−51+51−51+5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3620-200−2ζ28−2ζ12−2ζ4−2ζ362ζ282ζ122ζ42ζ3600000000000000000000000000000
χ424444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5001−51+51−51+5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36-202002ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ3600000000000000000000000000000
χ434444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5001−51+51−51+500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3620-200−2ζ12−2ζ28−2ζ36−2ζ42ζ122ζ282ζ362ζ400000000000000000000000000000
χ444444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5001−51+51−51+500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36-202002ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ400000000000000000000000000000
χ454444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5001+51−51+51−500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2820-200−2ζ4−2ζ36−2ζ12−2ζ282ζ42ζ362ζ122ζ2800000000000000000000000000000
χ464444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5001+51−51+51−500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28-202002ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ2800000000000000000000000000000
χ474444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5001+51−51+51−5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2820-200−2ζ36−2ζ4−2ζ28−2ζ122ζ362ζ42ζ282ζ1200000000000000000000000000000
χ484444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5001+51−51+51−5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28-202002ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ1200000000000000000000000000000
χ494-44-40044-4-4-4-4440000002-2000000000000000000000000000002-22-2000000002i−2i2i−2i0000000
χ504-44-40044-4-4-4-4440000002-2000000000000000000000000000002-22-200000000−2i2i−2i2i0000000
χ514-44-40044-4-4-4-444000000-2200000000000000000000000000000-22-22000000002i−2i−2i2i0000000
χ524-44-40044-4-4-4-444000000-2200000000000000000000000000000-22-2200000000−2i2i2i−2i0000000
χ534-4-444-444-4-444-4-4-4444-4-40000-44-440000000000000000000000000000000000000000000000
χ544-4-444-4−1+5−1−51−51+5−1+5−1−51−51+54-4−1+5−1−51−51+50000−1+51−5−1−51+500000002i2−2i2000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000
χ554-4-444-4−1+5−1−51−51+5−1+5−1−51−51+54-4−1+5−1−51−51+50000−1+51−5−1−51+50000000−2i22i2000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000
χ564-4-444-4−1+5−1−51−51+5−1+5−1−51−51+5-44−1+5−1−51−51+500001−5−1+51+5−1−5000000000000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000
χ574-4-444-4−1+5−1−51−51+5−1+5−1−51−51+5-44−1+5−1−51−51+500001−5−1+51+5−1−5000000000000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000
χ584-4-444-4−1−5−1+51+51−5−1−5−1+51+51−54-4−1−5−1+51+51−50000−1−51+5−1+51−500000002i2−2i2000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000
χ594-4-444-4−1−5−1+51+51−5−1−5−1+51+51−54-4−1−5−1+51+51−50000−1−51+5−1+51−50000000−2i22i2000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000
χ604-4-444-4−1−5−1+51+51−5−1−5−1+51+51−5-44−1−5−1+51+51−500001+5−1−51−5−1+5000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000
χ614-4-444-4−1−5−1+51+51−5−1−5−1+51+51−5-44−1−5−1+51+51−500001+5−1−51−5−1+5000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000
χ624-4-44-4444-4-444-4-400-4-444000000000000000000000000000000000000000000000000002-200
χ634-4-44-4444-4-444-4-400-4-44400000000000000000000000000000000000000000000000000-2200
χ6488-8-8008888-8-8-8-8000000000000000000000000000000000000000000000000000000000000
χ6588-8-800−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000
χ6688-8-800−2+25−2−25−2+25−2−252−252+252−252+250000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000
χ6788-8-800−2−25−2+25−2−25−2+252+252−252+252−250000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000
χ6888-8-800−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000
χ698-88-800−2+25−2−252−252+252−252+25−2+25−2−250000004-400000000000000000000000000000−1+51−5−1−51+50000000000000000000
χ708-88-800−2+25−2−252−252+252−252+25−2+25−2−25000000-44000000000000000000000000000001−5−1+51+5−1−50000000000000000000
χ718-88-800−2−25−2+252+252−252+252−25−2−25−2+250000004-400000000000000000000000000000−1−51+5−1+51−50000000000000000000
χ728-88-800−2−25−2+252+252−252+252−25−2−25−2+25000000-44000000000000000000000000000001+5−1−51−5−1+50000000000000000000
χ738-8-88-88−2+25−2−252−252+25−2+25−2−252−252+25002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000
χ748-8-88-88−2−25−2+252+252−25−2−25−2+252+252−25002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.