Finite Group Databasebeta

← Group #12011821

Character table — Group #12011821

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1122222224444444488888888881616161616161616161616161616161616161616161616163232323240404040808080808080
order12244551010241010202020208810102020404040402444161620202020202020204040808080808080808010102020448824441616
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111
χ5111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1
χ6111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ7111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ922222222222222222-2-22222-2-2-2-200000000000000-2-200000000000022-2-2000000
χ1022222222222222222-2-22222-2-2-2-200000000000000-2-2000000000000-2-222000000
χ11222222222-2-22222222-2-2-2-2-2222200000000000000-2-20000000000000000020-200
χ12222222222-2-22222222-2-2-2-2-2222200000000000000-2-200000000000000000-20200
χ13222222222-2-2222222-22-2-2-2-2-2-2-2-22-2000000000000220000000022-2-20000000000
χ14222222222-2-2222222-22-2-2-2-2-2-2-2-2-220000000000002200000000-2-2220000000000
χ1522222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−520000000000
χ1622222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−520000000000
χ1722222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+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+520000000000
χ1822222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2221−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521+520000000000
χ1922222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52-221−521+521−521+521−521−521+521+522-20000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−1+52−1−521−521+520000000000
χ2022222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52-221−521+521−521+521−521−521+521+522-20000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−1+52−1−521−521+520000000000
χ2122222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52-221−521+521−521+521−521−521+521+52-220000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ141−521+52−1+52−1−520000000000
χ2222222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52-221−521+521−521+521−521−521+521+52-220000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ141−521+52−1+52−1−520000000000
χ2322222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+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+520000000000
χ2422222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-21+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+520000000000
χ2522222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521−521+521−520000000000
χ2622222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2221+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+521+521−521+521−520000000000
χ2722222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52-221+521−521+521−521+521+521−521−522-20000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−1−52−1+521+521−520000000000
χ2822222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52-221+521−521+521−521+521+521−521−522-20000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−1−52−1+521+521−520000000000
χ2922222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52-221+521−521+521−521+521+521−521−52-220000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ381+521−52−1−52−1+520000000000
χ3022222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52-221+521−521+521−521+521+521−521−52-220000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ381+521−52−1−52−1+520000000000
χ31222-2-222222-222-2-2-2-20022-2-2000000002−200000000002−22−22−22−200002-20000002−2
χ32222-2-222222-222-2-2-2-20022-2-2000000002−200000000002−22−22−22−20000-22000000−22
χ33222-2-222222-222-2-2-2-20022-2-200000000−220000000000−22−22−22−2200002-2000000−22
χ34222-2-222222-222-2-2-2-20022-2-200000000−220000000000−22−22−22−220000-220000002−2
χ3544444−1+5−1−5−1+5−1−544−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−51−51−51+51+5000000000000001−51+50000000000000000000000
χ3644444−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−5−1+5−1−54-41−51+51−51+5−1+5−1+5−1−5−1−5000000000000001−51+50000000000000000000000
χ3744444−1−5−1+5−1−5−1+544−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+51+51+51−51−5000000000000001+51−50000000000000000000000
χ3844444−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+5−1−5−1+54-41+51−51+51−5−1−5−1−5−1+5−1+5000000000000001+51−50000000000000000000000
χ39444-4-44444-4444-4-4-4-400-4-444000000000000000000000000000000000000000000
χ40444-4-4−1+5−1−5−1+5−1−54-4−1+5−1−51−51+51−51+500−1+5−1−51−51+50000000022−220000000000−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+ζ3900000000000000
χ41444-4-4−1+5−1−5−1+5−1−54-4−1+5−1−51−51+51−51+500−1+5−1−51−51+500000000−22220000000000ζ7−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−ζ3900000000000000
χ42444-4-4−1+5−1−5−1+5−1−5-44−1+5−1−51−51+51−51+5001−51+5−1+5−1−500000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000000
χ43444-4-4−1+5−1−5−1+5−1−5-44−1+5−1−51−51+51−51+5001−51+5−1+5−1−500000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000000
χ44444-4-4−1−5−1+5−1−5−1+54-4−1−5−1+51+51−51+51−500−1−5−1+51+51−50000000022−220000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000
χ45444-4-4−1−5−1+5−1−5−1+54-4−1−5−1+51+51−51+51−500−1−5−1+51+51−500000000−22220000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000
χ46444-4-4−1−5−1+5−1−5−1+5-44−1−5−1+51+51−51+51−5001+51−5−1−5−1+500000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000
χ47444-4-4−1−5−1+5−1−5−1+5-44−1−5−1+51+51−51+51−5001+51−5−1−5−1+500000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000
χ4844-44-4444400-4-444-4-40000000000002i−2i002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ4944-44-4444400-4-444-4-4000000000000−2i2i00−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ5044-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+5000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14002i−2i00ζ12−ζ22−ζ28−ζ38−ζ12+ζ22+ζ28+ζ38−ζ12−ζ22+ζ28−ζ38ζ12+ζ22−ζ28+ζ38ζ4−ζ6−ζ14−ζ36−ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14+ζ36ζ4+ζ6+ζ14−ζ36000000000000000000000000
χ5144-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+5000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400−2i2i00−ζ12+ζ22+ζ28+ζ38ζ12−ζ22−ζ28−ζ38ζ12+ζ22−ζ28+ζ38−ζ12−ζ22+ζ28−ζ38−ζ4+ζ6+ζ14+ζ36ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14−ζ36−ζ4−ζ6−ζ14+ζ36000000000000000000000000
χ5244-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+50000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14002i−2i00−ζ12−ζ22+ζ28−ζ38ζ12+ζ22−ζ28+ζ38ζ12−ζ22−ζ28−ζ38−ζ12+ζ22+ζ28+ζ38−ζ4−ζ6−ζ14+ζ36ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14−ζ36−ζ4+ζ6+ζ14+ζ36000000000000000000000000
χ5344-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+50000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400−2i2i00ζ12+ζ22−ζ28+ζ38−ζ12−ζ22+ζ28−ζ38−ζ12+ζ22+ζ28+ζ38ζ12−ζ22−ζ28−ζ38ζ4+ζ6+ζ14−ζ36−ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14+ζ36ζ4−ζ6−ζ14−ζ36000000000000000000000000
χ5444-44-4−1−5−1+5−1−5−1+5001+51−5−1−5−1+51+51−50000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38002i−2i00ζ4−ζ6−ζ14−ζ36−ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14+ζ36ζ4+ζ6+ζ14−ζ36−ζ12−ζ22+ζ28−ζ38ζ12+ζ22−ζ28+ζ38ζ12−ζ22−ζ28−ζ38−ζ12+ζ22+ζ28+ζ38000000000000000000000000
χ5544-44-4−1−5−1+5−1−5−1+5001+51−5−1−5−1+51+51−50000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800−2i2i00−ζ4+ζ6+ζ14+ζ36ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14−ζ36−ζ4−ζ6−ζ14+ζ36ζ12+ζ22−ζ28+ζ38−ζ12−ζ22+ζ28−ζ38−ζ12+ζ22+ζ28+ζ38ζ12−ζ22−ζ28−ζ38000000000000000000000000
χ5644-44-4−1−5−1+5−1−5−1+5001+51−5−1−5−1+51+51−5000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38002i−2i00−ζ4−ζ6−ζ14+ζ36ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14−ζ36−ζ4+ζ6+ζ14+ζ36ζ12−ζ22−ζ28−ζ38−ζ12+ζ22+ζ28+ζ38−ζ12−ζ22+ζ28−ζ38ζ12+ζ22−ζ28+ζ38000000000000000000000000
χ5744-44-4−1−5−1+5−1−5−1+5001+51−5−1−5−1+51+51−5000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800−2i2i00ζ4+ζ6+ζ14−ζ36−ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14+ζ36ζ4−ζ6−ζ14−ζ36−ζ12+ζ22+ζ28+ζ38ζ12−ζ22−ζ28−ζ38ζ12+ζ22−ζ28+ζ38−ζ12−ζ22+ζ28−ζ38000000000000000000000000
χ5844-4-44444400-4-4-4-44400000000000000000000000000000000000000000020-2000
χ5944-4-44444400-4-4-4-444000000000000000000000000000000000000000000-202000
χ6088-8-88−2+25−2−25−2+25−2−25002−252+252−252+25−2+25−2−25000000000000000000000000000000000000000000000000
χ6188-8-88−2−25−2+25−2−25−2+25002+252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000
χ628-800088-8-80000000000000000000000000000000000000000000000002i2−2i2000000
χ638-800088-8-8000000000000000000000000000000000000000000000000−2i22i2000000
χ6416-16000−4+45−4−454−454+4500000000000000000000000000000000000000000000000000000000
χ6516-16000−4−45−4+454+454−4500000000000000000000000000000000000000000000000000000000

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