Finite Group Databasebeta

← Group #12253367

Character table — Group #12253367

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222224444488888888888888101016161616161616161616161616161616161616202020202032323232323240404040404040808080
order1225510102241010222444441010101020202244810101010101020202020202020202020224442020202040402444444448
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111-11-111111111111-1-1-11111-1-111-1-111111111111-1-1-1-1-1-1-111-1111-1-1-1
χ411111111111111-11-1111111111-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1111
χ51111111111111-11-111-1-1111111111-1-111-1-111-1-11111-1-1-1-1111-1-111-1-1-1-111-111-1-11-1-1
χ61111111111111-11-111-1-1111111-1-11-1-111-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-111
χ71111111111111-1-1-1-11-1-111111111-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-11-1-11-1-1-111
χ81111111111111-1-1-1-11-1-1111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111111-111-1111-1-1
χ9111111111111-111-11-11-111111111-1-11-1-11111-1-111-1-111-1-1111-1-1-1-1-1-1111-111-11-1-1-11
χ10111111111111-111-11-11-1111111-1-1-1-11-1-11111-1-111-1-111-1-1-1-1-111-1-1-1-111-11-1-11-1111-1
χ11111111111111-11-1-1-1-11-11111111111-1-1-111-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1-1-11-1-11-111-1
χ12111111111111-11-1-1-1-11-1111111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-111-111-11-1-11
χ13111111111111-1-1111-1-1111111111-11-1-1-1-1-1111111-1-1-1-11111111-1-111-1-11-1-11-1-11-11-1
χ14111111111111-1-1111-1-11111111-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-111-1-1-111-111-11-11
χ15111111111111-1-1-11-1-1-11111111111-11-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-111-11
χ16111111111111-1-1-11-1-1-11111111-1-11-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-111111111-1-11-1
χ1722222222-2-2220002000-222-2-2-2-22200000000022000000-2-22-2-222000000000000-2000
χ1822222222-2-2220002000-222-2-2-2-2-2-200000000022000000-2-2-222-2-20000000000002000
χ1922222222-2-222000-2000222-2-2-2-222000000000-2-2000000222-2-2-2-20000000000002000
χ2022222222-2-222000-2000222-2-2-2-2-2-2000000000-2-200000022-22222000000000000-2000
χ212222222-22-22220000-200-2-222-2-2220002200000000-2-20000-22-2000000000200-200000
χ222222222-22-22220000-200-2-222-2-2-2-20002200000000-2-200002-22000000000-200200000
χ232222222-22-222-20000200-2-222-2-222000-2-200000000220000-22-2000000000-200200000
χ242222222-22-222-20000200-2-222-2-2-2-2000-2-2000000002200002-22000000000200-200000
χ252222222-2-2222020000-20-2-2-2-22222000002200000000-2-200-2-220000000000200-20000
χ262222222-2-2222020000-20-2-2-2-222-2-2000002200000000-2-20022-20000000000-20020000
χ272222222-2-22220-2000020-2-2-2-2222200000-2-2000000002200-2-220000000000-20020000
χ282222222-2-22220-2000020-2-2-2-222-2-200000-2-200000000220022-20000000000200-20000
χ29222−1+52−1−52−1+52−1−52222−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−5200222−1+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+52−1−5200000−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ30222−1+52−1−52−1+52−1−52222−1+52−1−5222-22-2222−1+52−1−52−1+52−1−52−1+52−1−5200-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−52000001−521+521−521+521−521+520000000000
χ31222−1+52−1−52−1+52−1−52222−1+52−1−522-22-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52002-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000−1+52−1−521−521+521−521+520000000000
χ32222−1+52−1−52−1+52−1−52222−1+52−1−522-2-2-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−5200-222−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−521−521+521−521+52000001−521+52−1+52−1−52−1+52−1−520000000000
χ33222−1+52−1−52−1+52−1−52222−1+52−1−52-222-22-22-2−1+52−1−52−1+52−1−52−1+52−1−5200-2-221−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000001−521+521−521+52−1+52−1−520000000000
χ34222−1+52−1−52−1+52−1−52222−1+52−1−52-22-2-2-2-22-2−1+52−1−52−1+52−1−52−1+52−1−520022-21−521+52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−521−521+5200000−1+52−1−52−1+52−1−521−521+520000000000
χ35222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2222-2-22−1+52−1−52−1+52−1−52−1+52−1−5200-22-21−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000001−521+52−1+52−1−521−521+520000000000
χ36222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2-22-2-2-22−1+52−1−52−1+52−1−52−1+52−1−52002-221−521+521−521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−5200000−1+52−1−521−521+52−1+52−1−520000000000
χ37222−1−52−1+52−1−52−1+52222−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+5200222−1−52−1+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+5200000−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ38222−1−52−1+52−1−52−1+52222−1−52−1+5222-22-2222−1−52−1+52−1−52−1+52−1−52−1+5200-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+52000001+521−521+521−521+521−520000000000
χ39222−1−52−1+52−1−52−1+52222−1−52−1+522-22-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52002-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000−1−52−1+521+521−521+521−520000000000
χ40222−1−52−1+52−1−52−1+52222−1−52−1+522-2-2-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+5200-222−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+521+521−521+521−52000001+521−52−1−52−1+52−1−52−1+520000000000
χ41222−1−52−1+52−1−52−1+52222−1−52−1+52-222-22-22-2−1−52−1+52−1−52−1+52−1−52−1+5200-2-221+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000001+521−521+521−52−1−52−1+520000000000
χ42222−1−52−1+52−1−52−1+52222−1−52−1+52-22-2-2-2-22-2−1−52−1+52−1−52−1+52−1−52−1+520022-21+521−52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+521+521−5200000−1−52−1+52−1−52−1+521+521−520000000000
χ43222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2222-2-22−1−52−1+52−1−52−1+52−1−52−1+5200-22-21+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52000001+521−52−1−52−1+521+521−520000000000
χ44222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2-22-2-2-22−1−52−1+52−1−52−1+52−1−52−1+52002-221+521−521+521−521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+5200000−1−52−1+521+521−52−1−52−1+520000000000
χ45444−1+5−1−5−1+5−1−54-4-4−1+5−1−50004000-4−1+5−1−51−51+51−51+500000000000−1+5−1−50000001−51+5000000000000000000000
χ46444−1+5−1−5−1+5−1−54-4-4−1+5−1−5000-40004−1+5−1−51−51+51−51+5000000000001−51+5000000−1+5−1−5000000000000000000000
χ47444−1+5−1−5−1+5−1−5-44-4−1+5−1−540000-4001−51+5−1+5−1−51−51+500000−1+5−1−5000000001−51+50000000000000000000000000
χ48444−1+5−1−5−1+5−1−5-44-4−1+5−1−5-400004001−51+5−1+5−1−51−51+5000001−51+500000000−1+5−1−50000000000000000000000000
χ49444−1+5−1−5−1+5−1−5-4-44−1+5−1−5040000-401−51+51−51+5−1+5−1−50000000−1+5−1−5000000001−51+500000000000000000000000
χ50444−1+5−1−5−1+5−1−5-4-44−1+5−1−50-40000401−51+51−51+5−1+5−1−500000001−51+500000000−1+5−1−500000000000000000000000
χ51444−1−5−1+5−1−5−1+54-4-4−1−5−1+50004000-4−1−5−1+51+51−51+51−500000000000−1−5−1+50000001+51−5000000000000000000000
χ52444−1−5−1+5−1−5−1+54-4-4−1−5−1+5000-40004−1−5−1+51+51−51+51−5000000000001+51−5000000−1−5−1+5000000000000000000000
χ53444−1−5−1+5−1−5−1+5-44-4−1−5−1+540000-4001+51−5−1−5−1+51+51−500000−1−5−1+5000000001+51−50000000000000000000000000
χ54444−1−5−1+5−1−5−1+5-44-4−1−5−1+5-400004001+51−5−1−5−1+51+51−5000001+51−500000000−1−5−1+50000000000000000000000000
χ55444−1−5−1+5−1−5−1+5-4-44−1−5−1+5040000-401+51−51+51−5−1−5−1+50000000−1−5−1+5000000001+51−500000000000000000000000
χ56444−1−5−1+5−1−5−1+5-4-44−1−5−1+50-40000401+51−51+51−5−1−5−1+500000001+51−500000000−1−5−1+500000000000000000000000
χ5744-44444000-4-40020-20000000004-400000002200-2-200000000000000000200-2000000
χ5844-44444000-4-40020-2000000000-4400000002200-2-200000000000000000-2002000000
χ5944-44444000-4-400-2020000000004-40000000-2-2002200000000000000000-2002000000
χ6044-44444000-4-400-202000000000-440000000-2-2002200000000000000000200-2000000
χ6188-8−2+25−2−25−2+25−2−250002−252+250040-4000000000000000000−1+5−1−5001−51+5000000000000000000000000000
χ6288-8−2+25−2−25−2+25−2−250002−252+2500-4040000000000000000001−51+500−1+5−1−5000000000000000000000000000
χ6388-8−2−25−2+25−2−25−2+250002+252−250040-4000000000000000000−1−5−1+5001+51−5000000000000000000000000000
χ6488-8−2−25−2+25−2−25−2+250002+252−2500-4040000000000000000001+51−500−1−5−1+5000000000000000000000000000
χ658-8088-8-800000000000000000000000000000000000000000004i−4i0000000000000000
χ668-8088-8-80000000000000000000000000000000000000000000−4i4i0000000000000000
χ6716-160−4+45−4−454−454+450000000000000000000000000000000000000000000000000000000000000
χ6816-160−4−45−4+454+454−450000000000000000000000000000000000000000000000000000000000000

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