Finite Group Databasebeta

← Group #12078056

Character table — Group #12078056

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222222244444444444448888888888888888888888888810101010161616161616161616161616161616161616202020202020323240404040404040408080
order1222444455101010101010444442020202020202020222488882020202020202020202040404040404040404444481010101010102020404040404040404024444420202444888848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11111111111-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-1111-1-1111-11-1-111-1-11-1
χ6111111111111111111-1-11111111111-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1111-111-1-111-11
χ7111111111111111111-1-11111111111-1-1-1-1-1111111-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-11-1-1-1-111-11
χ8111111111111111111-1-11111111111-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-11-11111-1-11-1
χ91111111111111111-1-111111111111-1-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1
χ101111111111111111-1-111111111111-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111
χ111111111111111111-1-111111111111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-1-111
χ121111111111111111-1-111111111111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-11111111-1-1
χ131111111111111111-1-1-1-1111111111-111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-11111-1-1111111111-1-1-1-11-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1111111111-111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111111111-11111-1-1-111-1-1-1-1111-1
χ151111111111111111-1-1-1-1111111111-111-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1111-1
χ161111111111111111-1-1-1-1111111111-111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-11
χ1722222222−1+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+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52000022−1+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+52−1−52−1−52000000−1+52−1−520000000000
χ1822222222−1+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+52−1−522222-2-2-2-2−1+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+520000-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000001−521+520000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+5200002-2−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−520000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-22−1+52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000001−521+520000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2222221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-21−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000001−521+520000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000221−521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−520000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-222-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+520000-221−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+520000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-21−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+52000000−1+52−1−520000000000
χ2522222222−1−52−1+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+5222222222−1−52−1−52−1+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+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+52000000−1−52−1+520000000000
χ2622222222−1−52−1+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+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000001+521−520000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−5200002-2−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+520000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-22−1−52−1+521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000001+521−520000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2222221+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+520000-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000001+521−520000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000221+521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+520000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-222-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−520000-221+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+520000001+521−520000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2-2221+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+5200002-21+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−52000000−1−52−1+520000000000
χ3322222-2-22222222222200-222-2-222-2-2-2000000022220000-2-20000000022-2-200-2-2000000000000002-2-200-2000200000000
χ3422222-2-22222222222200-222-2-222-2-2-2000000022220000-2-200000000-2-22200-2-200000000000000-222002000-200000000
χ3522222-2-2222222222-2-200-222-2-222-2-220000000-2-2-2-20000-2-20000000022-2-200220000000000000022200-2000-200000000
χ3622222-2-2222222222-2-200-222-2-222-2-220000000-2-2-2-20000-2-200000000-2-222002200000000000000-2-2-2002000200000000
χ372222-222-2222222220022-2-2-222-2-222000-2000000002222-2-200000000222200000000-2-200000000-20022-200-2000000000
χ382222-222-2222222220022-2-2-222-2-222000-2000000002222-2-200000000-2-2-2-200000000-2-200000000200-2-22002000000000
χ392222-222-22222222200-2-2-2-2-222-2-222000200000000-2-2-2-2-2-2000000002222000000002200000000-200-2-2-2002000000000
χ402222-222-22222222200-2-2-2-2-222-2-222000200000000-2-2-2-2-2-200000000-2-2-2-200000000220000000020022200-2000000000
χ412222-2-2-2-22222222200002-2-2-2-2-2-2-2-202-20000000000000220000000022-2-200002-22-20000000000-20000200002-2000000
χ422222-2-2-2-22222222200002-2-2-2-2-2-2-2-202-200000000000002200000000-2-22200002-22-2000000000020000-20000-22000000
χ432222-2-2-2-22222222200002-2-2-2-2-2-2-2-20-220000000000000220000000022-2-20000-22-220000000000-2000020000-22000000
χ442222-2-2-2-22222222200002-2-2-2-2-2-2-2-20-2200000000000002200000000-2-2220000-22-22000000000020000-200002-2000000
χ452-22-20-22022-2-222-2-2002-20002200-2-20000i2−i2i2−i200002-22-200i2i2−i2−i2i2i2−i2−i22i−2i2i−2i0000000000i2−i2i2−i200000002i−2i00000002−22−200
χ462-22-20-22022-2-222-2-2002-20002200-2-20000i2−i2i2−i200002-22-200i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i0000000000i2−i2i2−i20000000−2i2i0000000−22−2200
χ472-22-20-22022-2-222-2-2002-20002200-2-20000−i2i2−i2i200002-22-200−i2−i2i2i2−i2−i2i2i22i−2i2i−2i0000000000−i2i2−i2i200000002i−2i0000000−22−2200
χ482-22-20-22022-2-222-2-2002-20002200-2-20000−i2i2−i2i200002-22-200−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i0000000000−i2i2−i2i20000000−2i2i00000002−22−200
χ492-22-20-22022-2-222-2-200-220002200-2-20000i2−i2−i2i20000-22-2200−i2−i2i2i2−i2−i2i2i22i−2i2i−2i0000000000i2−i2i2−i20000000−2i2i00000002−2−2200
χ502-22-20-22022-2-222-2-200-220002200-2-20000i2−i2−i2i20000-22-2200−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i0000000000i2−i2i2−i200000002i−2i0000000−222−200
χ512-22-20-22022-2-222-2-200-220002200-2-20000−i2i2i2−i20000-22-2200i2i2−i2−i2i2i2−i2−i22i−2i2i−2i0000000000−i2i2−i2i20000000−2i2i0000000−222−200
χ522-22-20-22022-2-222-2-200-220002200-2-20000−i2i2i2−i20000-22-2200i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i0000000000−i2i2−i2i200000002i−2i00000002−2−2200
χ5344444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54400-4−1+5−1−51−51+5−1+5−1−51−51+5-40000000−1+5−1+5−1−5−1−500001−51+5000000000000001−51+500000000000000000000000000000000
χ5444444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-400-4−1+5−1−51−51+5−1+5−1−51−51+5400000001−51−51+51+500001−51+500000000000000−1+5−1−500000000000000000000000000000000
χ5544444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54400-4−1−5−1+51+51−5−1−5−1+51+51−5-40000000−1−5−1−5−1+5−1+500001+51−5000000000000001+51−500000000000000000000000000000000
χ5644444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-400-4−1−5−1+51+51−5−1−5−1+51+51−5400000001+51+51−51−500001+51−500000000000000−1−5−1+500000000000000000000000000000000
χ574444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50044-41−51+5−1+5−1−51−51+5−1+5−1−5000-400000000−1+5−1+5−1−5−1−51−51+5000000000000000000001−51+500000000000000000000000000
χ584444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-4-4-41−51+5−1+5−1−51−51+5−1+5−1−50004000000001−51−51+51+51−51+500000000000000000000−1+5−1−500000000000000000000000000
χ594444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50044-41+51−5−1−5−1+51+51−5−1−5−1+5000-400000000−1−5−1−5−1+5−1+51+51−5000000000000000000001+51−500000000000000000000000000
χ604444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-4-4-41+51−5−1−5−1+51+51−5−1−5−1+50004000000001+51+51−51−51+51−500000000000000000000−1−5−1+500000000000000000000000000
χ614444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5000041−51+51−51+51−51+51−51+504-40000000000000−1+5−1−50000000000000000−1+51−5−1−51+50000000000000000000000000000
χ624444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5000041−51+51−51+51−51+51−51+50-440000000000000−1+5−1−500000000000000001−5−1+51+5−1−50000000000000000000000000000
χ634444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5000041+51−51+51−51+51−51+51−504-40000000000000−1−5−1+50000000000000000−1−51+5−1+51−50000000000000000000000000000
χ644444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5000041+51−51+51−51+51−51+51−50-440000000000000−1−5−1+500000000000000001+5−1−51−5−1+50000000000000000000000000000
χ6544-4-4400-44444-4-4-4-4000004400-4-40000000000000000000000000000000000000000000000000004-4000000000000000
χ6644-4-4400-44444-4-4-4-4000004400-4-4000000000000000000000000000000000000000000000000000-44000000000000000
χ6744-4-4-40044444-4-4-4-44i−4i000-4-4004400000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000
χ6844-4-4-40044444-4-4-4-4−4i4i000-4-400440000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000
χ6944-4-4-4004−1+5−1−5−1+5−1−51−51+51−51+54i−4i0001−51+500−1+5−1−50000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000ζ7−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−ζ39000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000000
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χ958-8-880000−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000

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