Finite Group Databasebeta

← Group #12253478

Character table — Group #12253478

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size112222244444444444558888888888888888888888810161616161616161616161616162020202020202020203232323232324040404040808080
order1225510104444444441010442444420202020202020202020202020202020202048881010202020202020202022244444440404040404022224888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1111-11111111111111111111-1-1-1-1-1111111-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1
χ3111111111111111111-1-111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1111-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1111-1-1
χ6111111111-1-1-1-11111111-11-1-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-111
χ7111111111-1-1-1-111111-1-111-1-111111-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-111-1-1-111
χ8111111111-1-1-1-111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111111-1-1
χ91111111-1-111-1-111111111-11-11-1-1-1-11111-1-1-1-11111111-11-111-1-111-1-111111-1-111-1-1-1-111-1-1-11-111-11-1
χ101111111-1-111-1-11111111-1-11-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-1-1111-1-111-1-111-1-111-11-1-1-11-11
χ111111111-1-111-1-111111-1-11-11-11-1-1-1-11111-1-1-1-1111111-1-11-111-1-111-1-111-1-1-111-1-111-1-111-1-11-11-1-11-11
χ121111111-1-111-1-111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-11-11-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1111-1111-11-1
χ131111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1111-1-11
χ141111111-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-111-1-1111-1-1-1-1111111-1-1-1-11-1-111-1
χ151111111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-111-1
χ161111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-111-111-1-11
χ1722222220000222-2-22222000-2000000000222222-2-2-2-22000000000-2-2002-2-200002200000000-200000
χ1822222220000222-2-222-2-2000-2000000000222222-2-2-2-2-2000000000-2-200-2220000-2-200000000200000
χ1922222220000-2-22-2-222220002000000000-2-2-2-222-2-2-2-2200000000022002-2-20000-2-200000000200000
χ2022222220000-2-22-2-222-2-20002000000000-2-2-2-222-2-2-2-2-20000000002200-22200002200000000-200000
χ212222222002200-22-2222200-200000022220000-2-222-2-220000000-2-20000-22-20022000000000-2000000
χ222222222002200-22-222-2-200-200000022220000-2-222-2-2-20000000-2-200002-2200-2-20000000002000000
χ23222222200-2-200-22-22222002000000-2-2-2-20000-2-222-2-220000000220000-22-200-2-20000000002000000
χ24222222200-2-200-22-222-2-2002000000-2-2-2-20000-2-222-2-2-200000002200002-220022000000000-2000000
χ252222222220000-2-2222220-2000222200000000-2-2-2-222200000-2-2000000-2-22220000000000-20000000
χ262222222220000-2-2222-2-20-2000222200000000-2-2-2-222-200000-2-200000022-2-2-2000000000020000000
χ272222222-2-20000-2-22222202000-2-2-2-200000000-2-2-2-22220000022000000-2-22-2-2000000000020000000
χ282222222-2-20000-2-2222-2-202000-2-2-2-200000000-2-2-2-222-2000002200000022-2220000000000-20000000
χ29222−1+52−1−52−1+52−1−52222222222−1+52−1−520022222−1+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+52−1−520222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ30222−1+52−1−52−1+52−1−52222222222−1+52−1−5200-2222-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-2-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+520000000001−521+521−521+521−521+5200000000
χ31222−1+52−1−52−1+52−1−5222-2-2-2-2222−1+52−1−520022-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−5202-2-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000000000−1+52−1−521−521+521−521+5200000000
χ32222−1+52−1−52−1+52−1−5222-2-2-2-2222−1+52−1−5200-22-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−520-2221−521+52−1+52−1−521−521+521−521+521−521+520000000001−521+52−1+52−1−52−1+52−1−5200000000
χ33222−1+52−1−52−1+52−1−52-2-222-2-2222−1+52−1−52002-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−520-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−520000000001−521+52−1+52−1−521−521+5200000000
χ34222−1+52−1−52−1+52−1−52-2-222-2-2222−1+52−1−5200-2-22-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−5202-221−521+521−521+52−1+52−1−521−521+521−521+52000000000−1+52−1−521−521+52−1+52−1−5200000000
χ35222−1+52−1−52−1+52−1−52-2-2-2-222222−1+52−1−52002-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-2-22−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000001−521+521−521+52−1+52−1−5200000000
χ36222−1+52−1−52−1+52−1−52-2-2-2-222222−1+52−1−5200-2-2-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52022-21−521+521−521+521−521+52−1+52−1−521−521+52000000000−1+52−1−52−1+52−1−521−521+5200000000
χ37222−1−52−1+52−1−52−1+52222222222−1−52−1+520022222−1−52−1−52−1+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+520222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ38222−1−52−1+52−1−52−1+52222222222−1−52−1+5200-2222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+520-2-2-21+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−520000000001+521−521+521−521+521−5200000000
χ39222−1−52−1+52−1−52−1+5222-2-2-2-2222−1−52−1+520022-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5202-2-2−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52000000000−1−52−1+521+521−521+521−5200000000
χ40222−1−52−1+52−1−52−1+5222-2-2-2-2222−1−52−1+5200-22-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+520-2221+521−52−1−52−1+521+521−521+521−521+521−520000000001+521−52−1−52−1+52−1−52−1+5200000000
χ41222−1−52−1+52−1−52−1+52-2-222-2-2222−1−52−1+52002-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+520-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+520000000001+521−52−1−52−1+521+521−5200000000
χ42222−1−52−1+52−1−52−1+52-2-222-2-2222−1−52−1+5200-2-22-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5202-221+521−521+521−52−1−52−1+521+521−521+521−52000000000−1−52−1+521+521−52−1−52−1+5200000000
χ43222−1−52−1+52−1−52−1+52-2-2-2-222222−1−52−1+52002-2-2221+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+520-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000001+521−521+521−52−1−52−1+5200000000
χ44222−1−52−1+52−1−52−1+52-2-2-2-222222−1−52−1+5200-2-2-22-21+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+52022-21+521−521+521−521+521−52−1−52−1+521+521−52000000000−1−52−1+52−1−52−1+521+521−5200000000
χ45444−1+5−1−5−1+5−1−50000444-4-4−1+5−1−500000-4000000000−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+500000000001−51+50000000000000000000000000
χ46444−1+5−1−5−1+5−1−50000-4-44-4-4−1+5−1−50000040000000001−51−51+51+5−1+5−1−51−51+51−51+50000000000−1+5−1−50000000000000000000000000
χ47444−1+5−1−5−1+5−1−5004400-44-4−1+5−1−50000-4000000−1+5−1+5−1−5−1−500001−51+5−1+5−1−51−51+5000000001−51+5000000000000000000000000000
χ48444−1+5−1−5−1+5−1−500-4-400-44-4−1+5−1−5000040000001−51−51+51+500001−51+5−1+5−1−51−51+500000000−1+5−1−5000000000000000000000000000
χ49444−1+5−1−5−1+5−1−5440000-4-44−1+5−1−5000-4000−1+5−1+5−1−5−1−5000000001−51+51−51+5−1+5−1−50000001−51+500000000000000000000000000000
χ50444−1+5−1−5−1+5−1−5-4-40000-4-44−1+5−1−500040001−51−51+51+5000000001−51+51−51+5−1+5−1−5000000−1+5−1−500000000000000000000000000000
χ51444−1−5−1+5−1−5−1+50000444-4-4−1−5−1+500000-4000000000−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−500000000001+51−50000000000000000000000000
χ52444−1−5−1+5−1−5−1+50000-4-44-4-4−1−5−1+50000040000000001+51+51−51−5−1−5−1+51+51−51+51−50000000000−1−5−1+50000000000000000000000000
χ53444−1−5−1+5−1−5−1+5004400-44-4−1−5−1+50000-4000000−1−5−1−5−1+5−1+500001+51−5−1−5−1+51+51−5000000001+51−5000000000000000000000000000
χ54444−1−5−1+5−1−5−1+500-4-400-44-4−1−5−1+5000040000001+51+51−51−500001+51−5−1−5−1+51+51−500000000−1−5−1+5000000000000000000000000000
χ55444−1−5−1+5−1−5−1+5440000-4-44−1−5−1+5000-4000−1−5−1−5−1+5−1+5000000001+51−51+51−5−1−5−1+50000001+51−500000000000000000000000000000
χ56444−1−5−1+5−1−5−1+5-4-40000-4-44−1−5−1+500040001+51+51−51−5000000001+51−51+51−5−1−5−1+5000000−1−5−1+500000000000000000000000000000
χ5744-44444000000000-4-4442000-2000000000000000000-400022000000-2-2000000000000000000-22000
χ5844-44444000000000-4-444-20002000000000000000000-4000-2-2000000220000000000000000002-2000
χ5944-44444000000000-4-4-4-42000-2000000000000000000400022000000-2-20000000000000000002-2000
χ6044-44444000000000-4-4-4-4-200020000000000000000004000-2-200000022000000000000000000-22000
χ614-4044-4-42-22-22-2000004i−4i000002-22-22-22-22-22-2000000000000000000000002i−2i2i−2i2i−2i00000000000000
χ624-4044-4-42-22-22-200000−4i4i000002-22-22-22-22-22-200000000000000000000000−2i2i−2i2i−2i2i00000000000000
χ634-4044-4-42-2-22-22000004i−4i000002-22-2-22-22-22-22000000000000000000000002i−2i−2i2i−2i2i00000000000000
χ644-4044-4-42-2-22-2200000−4i4i000002-22-2-22-22-22-2200000000000000000000000−2i2i2i−2i2i−2i00000000000000
χ654-4044-4-4-222-2-22000004i−4i00000-22-222-22-2-22-2200000000000000000000000−2i2i2i−2i−2i2i00000000000000
χ664-4044-4-4-222-2-2200000−4i4i00000-22-222-22-2-22-22000000000000000000000002i−2i−2i2i2i−2i00000000000000
χ674-4044-4-4-22-222-2000004i−4i00000-22-22-22-222-22-200000000000000000000000−2i2i−2i2i2i−2i00000000000000
χ684-4044-4-4-22-222-200000−4i4i00000-22-22-22-222-22-2000000000000000000000002i−2i2i−2i−2i2i00000000000000
χ6988-8−2+25−2−25−2+25−2−250000000002−252+25004000-40000000000000000000000−1+5−1−50000001−51+500000000000000000000000
χ7088-8−2+25−2−25−2+25−2−250000000002−252+2500-4000400000000000000000000001−51+5000000−1+5−1−500000000000000000000000
χ7188-8−2−25−2+25−2−25−2+250000000002+252−25004000-40000000000000000000000−1−5−1+50000001+51−500000000000000000000000
χ7288-8−2−25−2+25−2−25−2+250000000002+252−2500-4000400000000000000000000001+51−5000000−1−5−1+500000000000000000000000
χ738-80−2+25−2−252−252+254-44-44-4000000000000−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+50000000000000000000000000000000000000000000
χ748-80−2+25−2−252−252+254-4-44-44000000000000−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000
χ758-80−2+25−2−252−252+25-444-4-440000000000001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000
χ768-80−2+25−2−252−252+25-44-444-40000000000001−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000
χ778-80−2−25−2+252+252−254-44-44-4000000000000−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−50000000000000000000000000000000000000000000
χ788-80−2−25−2+252+252−254-4-44-44000000000000−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000
χ798-80−2−25−2+252+252−25-444-4-440000000000001+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000
χ808-80−2−25−2+252+252−25-44-444-40000000000001+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).