Finite Group Databasebeta

← Group #12253504

Character table — Group #12253504

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222224444488888888888888101016161616161616161616161616161616161616202020202032323232323240404040404040808080
order1225510104441010224444442020202020204488810101010202020202020202020202020222444040404040402444444888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-11-1-1111111111-1-1111111-1-1-1-111-1-1-1-11111111-1-1-1-1111-1-1-1-11-1-1
χ4111111111111111-1-11-1-1111111-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-111
χ51111111111111-111-1-11-111111111-11-111-1-11111-1-1-1-111-1-1111-1-1-1-111-1-111-11-11-1-11-1
χ61111111111111-111-1-11-1111111-1-1-11-111-1-11111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-11-11-111-11
χ71111111111111-11-11-1-1111111111-1-1111-1-111-1-111-1-1-1-111111-1-1-1-1-1-11111-1-11-11-1-11
χ81111111111111-11-11-1-11111111-1-1-1-1111-1-111-1-111-1-1-1-111-1-1-111-1-1-1-111-1-111-11-111-1
χ9111111111111-11-11111111111111-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-111111-1-1-1
χ10111111111111-11-111111111111-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ11111111111111-11-1-1-11-1-111111111-111-1-111-1-1-1-1-1-111-1-1-1-111111-1-11111-1-11-1-1-1-1-111
χ12111111111111-11-1-1-11-1-1111111-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-111111-1-1
χ13111111111111-1-1-11-1-11-1111111111-11-1-1-1-1-1-111-1-1-1-111-1-1111-1-111-1-111-1-1-11-11-11-11
χ14111111111111-1-1-11-1-11-1111111-1-11-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-111111-11-11-11-1
χ15111111111111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-11-1111-1
χ16111111111111-1-1-1-11-1-11111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111111-1-11111-11-1-1-11
χ1722222222-2-2220000200-222-2-2-2-22200000000000220000-2-22-2-200000000000020-2000
χ1822222222-2-2220000200-222-2-2-2-2-2-200000000000220000-2-2-222000000000000-202000
χ1922222222-2-2220000-200222-2-2-2-22200000000000-2-20000222-2-2000000000000-202000
χ2022222222-2-2220000-200222-2-2-2-2-2-200000000000-2-2000022-22200000000000020-2000
χ212222222-22-222000200-20-2-222-2-222000000000220000-2-200-22-20000000000020-20000
χ222222222-22-222000200-20-2-222-2-2-2-2000000000220000-2-2002-2200000000000-2020000
χ232222222-22-222000-20020-2-222-2-222000000000-2-200002200-22-200000000000-2020000
χ242222222-22-222000-20020-2-222-2-2-2-2000000000-2-2000022002-220000000000020-20000
χ252222222-2-222202000-200-2-2-2-222220000022000000-2-20000-2-22-2-20000000020000000
χ262222222-2-222202000-200-2-2-2-222-2-20000022000000-2-2000022-22200000000-20000000
χ272222222-2-22220-2000200-2-2-2-2222200000-2-2000000220000-2-222200000000-20000000
χ282222222-2-22220-2000200-2-2-2-222-2-200000-2-200000022000022-2-2-20000000020000000
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+52−1−52222-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52002-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+5200000−1+52−1−521−521+521−521+520000000000
χ31222−1+52−1−52−1+52−1−52222−1+52−1−522-222-2-22-2−1+52−1−52−1+52−1−52−1+52−1−5200-22-2−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52000001−521+52−1+52−1−521−521+520000000000
χ32222−1+52−1−52−1+52−1−52222−1+52−1−522-22-22-2-22−1+52−1−52−1+52−1−52−1+52−1−5200-2-22−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000001−521+521−521+52−1+52−1−520000000000
χ33222−1+52−1−52−1+52−1−52222−1+52−1−52-22-222222−1+52−1−52−1+52−1−52−1+52−1−5200-2-2-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000001−521+521−521+521−521+520000000000
χ34222−1+52−1−52−1+52−1−52222−1+52−1−52-22-2-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−5200-2221−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+521−521+52000001−521+52−1+52−1−52−1+52−1−520000000000
χ35222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2-22-2-22-2−1+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+52−1+52−1−521−521+5200000−1+52−1−521−521+52−1+52−1−520000000000
χ36222−1+52−1−52−1+52−1−52222−1+52−1−52-2-2-2-22-2-22−1+52−1−52−1+52−1−52−1+52−1−520022-21−521+521−521+521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−5200000−1+52−1−52−1+52−1−521−521+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+52222-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52002-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−5200000−1−52−1+521+521−521+521−520000000000
χ39222−1−52−1+52−1−52−1+52222−1−52−1+522-222-2-22-2−1−52−1+52−1−52−1+52−1−52−1+5200-22-2−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000001+521−52−1−52−1+521+521−520000000000
χ40222−1−52−1+52−1−52−1+52222−1−52−1+522-22-22-2-22−1−52−1+52−1−52−1+52−1−52−1+5200-2-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000001+521−521+521−52−1−52−1+520000000000
χ41222−1−52−1+52−1−52−1+52222−1−52−1+52-22-222222−1−52−1+52−1−52−1+52−1−52−1+5200-2-2-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000001+521−521+521−521+521−520000000000
χ42222−1−52−1+52−1−52−1+52222−1−52−1+52-22-2-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+5200-2221+521−52−1−52−1+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
χ43222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2-22-2-22-2−1−52−1+52−1−52−1+52−1−52−1+52002-221+521−521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−5200000−1−52−1+521+521−52−1−52−1+520000000000
χ44222−1−52−1+52−1−52−1+52222−1−52−1+52-2-2-2-22-2-22−1−52−1+52−1−52−1+52−1−52−1+520022-21+521−521+521−521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+5200000−1−52−1+52−1−52−1+521+521−520000000000
χ45444−1+5−1−5−1+5−1−54-4-4−1+5−1−50000400-4−1+5−1−51−51+51−51+50000000000000−1+5−1−500001−51+5000000000000000000000
χ46444−1+5−1−5−1+5−1−54-4-4−1+5−1−50000-4004−1+5−1−51−51+51−51+500000000000001−51+50000−1+5−1−5000000000000000000000
χ47444−1+5−1−5−1+5−1−5-44-4−1+5−1−5000400-401−51+5−1+5−1−51−51+500000000000−1+5−1−500001−51+500000000000000000000000
χ48444−1+5−1−5−1+5−1−5-44-4−1+5−1−5000-400401−51+5−1+5−1−51−51+5000000000001−51+50000−1+5−1−500000000000000000000000
χ49444−1+5−1−5−1+5−1−5-4-44−1+5−1−504000-4001−51+51−51+5−1+5−1−50000000−1+5−1−50000001−51+50000000000000000000000000
χ50444−1+5−1−5−1+5−1−5-4-44−1+5−1−50-40004001−51+51−51+5−1+5−1−500000001−51+5000000−1+5−1−50000000000000000000000000
χ51444−1−5−1+5−1−5−1+54-4-4−1−5−1+50000400-4−1−5−1+51+51−51+51−50000000000000−1−5−1+500001+51−5000000000000000000000
χ52444−1−5−1+5−1−5−1+54-4-4−1−5−1+50000-4004−1−5−1+51+51−51+51−500000000000001+51−50000−1−5−1+5000000000000000000000
χ53444−1−5−1+5−1−5−1+5-44-4−1−5−1+5000400-401+51−5−1−5−1+51+51−500000000000−1−5−1+500001+51−500000000000000000000000
χ54444−1−5−1+5−1−5−1+5-44-4−1−5−1+5000-400401+51−5−1−5−1+51+51−5000000000001+51−50000−1−5−1+500000000000000000000000
χ55444−1−5−1+5−1−5−1+5-4-44−1−5−1+504000-4001+51−51+51−5−1−5−1+50000000−1−5−1+50000001+51−50000000000000000000000000
χ56444−1−5−1+5−1−5−1+5-4-44−1−5−1+50-40004001+51−51+51−5−1−5−1+500000001+51−5000000−1−5−1+50000000000000000000000000
χ5744-44444000-4-420-2000000000004-40002200-2-20000000000000000000002-200000000
χ5844-44444000-4-420-200000000000-440002200-2-2000000000000000000000-2200000000
χ5944-44444000-4-4-202000000000004-4000-2-20022000000000000000000000-2200000000
χ6044-44444000-4-4-20200000000000-44000-2-200220000000000000000000002-200000000
χ6188-8−2+25−2−25−2+25−2−250002−252+2540-40000000000000000−1+5−1−5001−51+50000000000000000000000000000000
χ6288-8−2+25−2−25−2+25−2−250002−252+25-40400000000000000001−51+500−1+5−1−50000000000000000000000000000000
χ6388-8−2−25−2+25−2−25−2+250002+252−2540-40000000000000000−1−5−1+5001+51−50000000000000000000000000000000
χ6488-8−2−25−2+25−2−25−2+250002+252−25-40400000000000000001+51−500−1−5−1+50000000000000000000000000000000
χ658-8088-8-800000000000000000000000000000000000000000004-40000000000000000
χ668-8088-8-80000000000000000000000000000000000000000000-440000000000000000
χ6716-160−4+45−4−454−454+450000000000000000000000000000000000000000000000000000000000000
χ6816-160−4−45−4+454+454−450000000000000000000000000000000000000000000000000000000000000