Finite Group Databasebeta

← Group #12254181

Character table — Group #12254181

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11222444488888888816162244488881616161616161616163232224448888161616161616161616323255101010202020204040404040404040408080
order122442488888881616161624510102020102040404040404040808080801020510102020102040404040404040808080801020222442488888881616161624
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ31111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1
χ41111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ511111-1-111-111-1-111-1-11-111111-1-111-111-1-111-1-11-111111-1-111-111-1-111-1-11-111111-1-111-111-1-111-1-11-1
χ611111-1-111-111-1-1-1-111-1111111-1-111-111-1-1-1-111-1111111-1-111-111-1-1-1-111-1111111-1-111-111-1-1-1-111-11
χ711111-1-111-1-1-11111-1-1-1111111-1-111-1-1-11111-1-1-1111111-1-111-1-1-11111-1-1-1111111-1-111-1-1-11111-1-1-11
χ811111-1-111-1-1-111-1-1111-111111-1-111-1-1-111-1-1111-111111-1-111-1-1-111-1-1111-111111-1-111-1-1-111-1-1111-1
χ92222222-2-2-200000000002222222-2-2-200000000002222222-2-2-200000000002222222-2-2-20000000000
χ1022222-2-2-2-22000000000022222-2-2-2-22000000000022222-2-2-2-22000000000022222-2-2-2-220000000000
χ11222-2-22-20000000i2−i2i2−i200222-2-22-20000000i2−i2i2−i200222-2-22-20000000i2−i2i2−i200222-2-22-20000000i2−i2i2−i200
χ12222-2-22-20000000−i2i2−i2i200222-2-22-20000000−i2i2−i2i200222-2-22-20000000−i2i2−i2i200222-2-22-20000000−i2i2−i2i200
χ13222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200
χ14222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200
χ1522-22-2002-20002i−2i00000022-22-2002-20002i−2i00000022-22-2002-20002i−2i00000022-22-2002-20002i−2i000000
χ1622-22-2002-2000−2i2i00000022-22-2002-2000−2i2i00000022-22-2002-2000−2i2i00000022-22-2002-2000−2i2i000000
χ1722-22-200-2202i−2i0000000022-22-200-2202i−2i0000000022-22-200-2202i−2i0000000022-22-200-2202i−2i00000000
χ1822-22-200-220−2i2i0000000022-22-200-220−2i2i0000000022-22-200-220−2i2i0000000022-22-200-220−2i2i00000000
χ1944-4-4400000000000000044-4-4400000000000000044-4-4400000000000000044-4-44000000000000000
χ208-80000000000000000008-80000000000000000008-80000000000000000008-8000000000000000000
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ231111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ241111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ2511111-1-111-111-1-111-1-11-111111-1-111-111-1-111-1-11-111111-1-111-111-1-111-1-11-1-1-1-1-1-111-1-11-1-111-1-111-11
χ2611111-1-111-111-1-1-1-111-1111111-1-111-111-1-1-1-111-1111111-1-111-111-1-1-1-111-11-1-1-1-1-111-1-11-1-11111-1-11-1
χ2711111-1-111-1-1-11111-1-1-1111111-1-111-1-1-11111-1-1-1111111-1-111-1-1-11111-1-1-11-1-1-1-1-111-1-1111-1-1-1-1111-1
χ2811111-1-111-1-1-111-1-1111-111111-1-111-1-1-111-1-1111-111111-1-111-1-1-111-1-1111-1-1-1-1-1-111-1-1111-1-111-1-1-11
χ292222222-2-2-200000000002222222-2-2-200000000002222222-2-2-20000000000-2-2-2-2-2-2-22220000000000
χ3022222-2-2-2-22000000000022222-2-2-2-22000000000022222-2-2-2-220000000000-2-2-2-2-22222-20000000000
χ31222-2-22-20000000i2−i2i2−i200222-2-22-20000000i2−i2i2−i200222-2-22-20000000i2−i2i2−i200-2-2-222-220000000−i2i2−i2i200
χ32222-2-22-20000000−i2i2−i2i200222-2-22-20000000−i2i2−i2i200222-2-22-20000000−i2i2−i2i200-2-2-222-220000000i2−i2i2−i200
χ33222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200-2-2-2222-20000000−i2i2i2−i200
χ34222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200-2-2-2222-20000000i2−i2−i2i200
χ3522-22-2002-20002i−2i00000022-22-2002-20002i−2i00000022-22-2002-20002i−2i000000-2-22-2200-22000−2i2i000000
χ3622-22-2002-2000−2i2i00000022-22-2002-2000−2i2i00000022-22-2002-2000−2i2i000000-2-22-2200-220002i−2i000000
χ3722-22-200-2202i−2i0000000022-22-200-2202i−2i0000000022-22-200-2202i−2i00000000-2-22-22002-20−2i2i00000000
χ3822-22-200-220−2i2i0000000022-22-200-220−2i2i0000000022-22-200-220−2i2i00000000-2-22-22002-202i−2i00000000
χ3944-4-4400000000000000044-4-4400000000000000044-4-44000000000000000-4-444-4000000000000000
χ408-80000000000000000008-80000000000000000008-8000000000000000000-88000000000000000000
χ4122222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000
χ4222222222222222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+5200000000000000000000
χ432222222222-2-2-2-22222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−521+521+5200000000000000000000
χ442222222222-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+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+52−1−52−1−5200000000000000000000
χ4522222-2-222-222-2-222-2-22-2−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+5200000000000000000000
χ4622222-2-222-222-2-2-2-222-22−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−5200000000000000000000
χ4722222-2-222-2-2-22222-2-2-22−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−5200000000000000000000
χ4822222-2-222-2-2-222-2-2222-2−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+5200000000000000000000
χ494444444-4-4-40000000000−1+5−1+5−1+5−1+5−1+5−1+5−1+51−51−51−50000000000−1−5−1−5−1−5−1−5−1−5−1−5−1−51+51+51+5000000000000000000000000000000
χ5044444-4-4-4-440000000000−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+50000000000−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−5000000000000000000000000000000
χ51444-4-44-400000002i2−2i22i2−2i200−1+5−1+5−1+51−51−5−1+51−50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700−1−5−1−5−1−51+51+5−1−51+50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000
χ52444-4-44-40000000−2i22i2−2i22i200−1+5−1+5−1+51−51−5−1+51−50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700−1−5−1−5−1−51+51+5−1−51+50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000
χ53444-4-4-4400000002i2−2i2−2i22i200−1+5−1+5−1+51−51−51−5−1+50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700−1−5−1−5−1−51+51+51+5−1−50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000
χ54444-4-4-440000000−2i22i22i2−2i200−1+5−1+5−1+51−51−51−5−1+50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700−1−5−1−5−1−51+51+51+5−1−50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000
χ5544-44-4004-40004i−4i000000−1+5−1+51−5−1+51−500−1+51−5000−2ζ22−2ζ382ζ22+2ζ38000000−1−5−1−51+5−1−51+500−1−51+5000−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000
χ5644-44-4004-4000−4i4i000000−1+5−1+51−5−1+51−500−1+51−50002ζ22+2ζ38−2ζ22−2ζ38000000−1−5−1−51+5−1−51+500−1−51+50002ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000
χ5744-44-400-4404i−4i00000000−1+5−1+51−5−1+51−5001−5−1+50−2ζ22−2ζ382ζ22+2ζ3800000000−1−5−1−51+5−1−51+5001+5−1−50−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000
χ5844-44-400-440−4i4i00000000−1+5−1+51−5−1+51−5001−5−1+502ζ22+2ζ38−2ζ22−2ζ3800000000−1−5−1−51+5−1−51+5001+5−1−502ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000
χ5988-8-88000000000000000−2+25−2+252−252−25−2+25000000000000000−2−25−2−252+252+25−2−2500000000000000000000000000000000000
χ6016-16000000000000000000−4+454−45000000000000000000−4−454+4500000000000000000000000000000000000000
χ6122222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+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+5200000000000000000000
χ6222222222222222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−5200000000000000000000
χ632222222222-2-2-2-22222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−5200000000000000000000
χ642222222222-2-2-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+5200000000000000000000
χ6522222-2-222-222-2-222-2-22-2−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−5200000000000000000000
χ6622222-2-222-222-2-2-2-222-22−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+5200000000000000000000
χ6722222-2-222-2-2-22222-2-2-22−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+5200000000000000000000
χ6822222-2-222-2-2-222-2-2222-2−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−5200000000000000000000
χ694444444-4-4-40000000000−1−5−1−5−1−5−1−5−1−5−1−5−1−51+51+51+50000000000−1+5−1+5−1+5−1+5−1+5−1+5−1+51−51−51−5000000000000000000000000000000
χ7044444-4-4-4-440000000000−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−50000000000−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+5000000000000000000000000000000
χ71444-4-44-400000002i2−2i22i2−2i200−1−5−1−5−1−51+51+5−1−51+50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900−1+5−1+5−1+51−51−5−1+51−50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000
χ72444-4-44-40000000−2i22i2−2i22i200−1−5−1−5−1−51+51+5−1−51+50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900−1+5−1+5−1+51−51−5−1+51−50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000
χ73444-4-4-4400000002i2−2i2−2i22i200−1−5−1−5−1−51+51+51+5−1−50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900−1+5−1+5−1+51−51−51−5−1+50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000
χ74444-4-4-440000000−2i22i22i2−2i200−1−5−1−5−1−51+51+51+5−1−50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900−1+5−1+5−1+51−51−51−5−1+50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000
χ7544-44-4004-40004i−4i000000−1−5−1−51+5−1−51+500−1−51+5000−2ζ6−2ζ142ζ6+2ζ14000000−1+5−1+51−5−1+51−500−1+51−5000−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000
χ7644-44-4004-4000−4i4i000000−1−5−1−51+5−1−51+500−1−51+50002ζ6+2ζ14−2ζ6−2ζ14000000−1+5−1+51−5−1+51−500−1+51−50002ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000
χ7744-44-400-4404i−4i00000000−1−5−1−51+5−1−51+5001+5−1−50−2ζ6−2ζ142ζ6+2ζ1400000000−1+5−1+51−5−1+51−5001−5−1+50−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000
χ7844-44-400-440−4i4i00000000−1−5−1−51+5−1−51+5001+5−1−502ζ6+2ζ14−2ζ6−2ζ1400000000−1+5−1+51−5−1+51−5001−5−1+502ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000
χ7988-8-88000000000000000−2−25−2−252+252+25−2−25000000000000000−2+25−2+252−252−25−2+2500000000000000000000000000000000000
χ8016-16000000000000000000−4−454+45000000000000000000−4+454−4500000000000000000000000000000000000000

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