Finite Group Databasebeta

← Group #12975481

Character table — Group #12975481

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size112222222222244444444888888888888888881616161616161616202020202020202040404040112222222222244444444888888888888888881616161616161616202020202020202040404040
order1224455101010101010888820202020222442020202040404040404040401010101010102020222244448888222441010101010101010888820202020222442020202040404040404040401010101010102020222244448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ4111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ5111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1111-1-1-11-1111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1111-1-1-11-1
χ6111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1111-11111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1111-11
χ7111111111111111-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1111-11-1-1-11111111111111111-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1111-11-1-1-11
χ8111111111111111-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-11-1111-1111111111111111-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-11-1111-1
χ91111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1111-1111-1-1-11111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1111-1111-1-1-1
χ101111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-1-11-1-1-11111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-1-11-1-1-1111
χ111111111111111-1-1111111-11-11-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-11-1-1-11-1111111111111111-1-1111111-11-11-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-11-1-1-11-111
χ121111111111111-1-1111111-11-11-1-1-1-1-1-1-1-1-11111-1-111-1-111-1111-1111-11-1-11111111111111-1-1111111-11-11-1-1-1-1-1-1-1-1-11111-1-111-1-111-1111-1111-11-1-1
χ131111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-11-11-1-11-111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-11-11-1-11-11
χ141111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-11-11-11-111-11-11111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-11-11-11-111-11-1
χ151111111111111-1-1-1-11111-111-111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-11-111-11111111111111-1-1-1-11111-111-111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-11-111-1
χ161111111111111-1-1-1-11111-111-111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-11-1-111111111111111-1-1-1-11111-111-111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-11-1-11
χ1722222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−5222222−1+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+52−1−5200000000000022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−5222222−1+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+52−1−52000000000000
χ1822222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+5200000000000022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52000000000000
χ1922222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−5222-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−5222-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ2022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52-2-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52-2-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ2122222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−522-22-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000000000022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−522-22-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ2222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52-22-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−5200000000000022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52-22-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ2322222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−522-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−5200000000000022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−522-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ2422222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52-222-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−52−1+52−1−521−521+5200000000000022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52-222-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−52−1+52−1−521−521+52000000000000
χ2522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+5222222−1−52−1−52−1+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+5200000000000022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+5222222−1−52−1−52−1+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+52000000000000
χ2622222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−5200000000000022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52000000000000
χ2722222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+5222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+5222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ2822222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52-2-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52-2-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ2922222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+522-22-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000000000022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+522-22-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ3022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52-22-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+5200000000000022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52-22-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ3122222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+522-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1+5200000000000022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+522-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1+52000000000000
χ3222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52-222-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+52−1−52−1+521+521−5200000000000022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52-222-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+52−1−52−1+521+521−52000000000000
χ3322-22-222-2-2-2-222002-22-22-200000000000002-22-200000000002200-2-2000022-22-222-2-2-2-222002-22-22-200000000000002-22-200000000002200-2-20000
χ3422-22-222-2-2-2-222002-22-22-200000000000002-22-20000000000-2-20022000022-22-222-2-2-2-222002-22-22-200000000000002-22-20000000000-2-200220000
χ3522-22-222-2-2-2-22200-222-22-20000000000000-22-2200000000002-200-22000022-22-222-2-2-2-22200-222-22-20000000000000-22-2200000000002-200-220000
χ3622-22-222-2-2-2-22200-222-22-20000000000000-22-220000000000-22002-2000022-22-222-2-2-2-22200-222-22-20000000000000-22-220000000000-22002-20000
χ3722-2-2222-2-2-2-2222-200-22-220000000002-22-20000000000002200-2-200000022-2-2222-2-2-2-2222-200-22-220000000002-22-20000000000002200-2-2000000
χ3822-2-2222-2-2-2-2222-200-22-220000000002-22-2000000000000-2-2002200000022-2-2222-2-2-2-2222-200-22-220000000002-22-2000000000000-2-20022000000
χ3922-2-2222-2-2-2-222-2200-22-22000000000-22-220000000000002-200-2200000022-2-2222-2-2-2-222-2200-22-22000000000-22-220000000000002-200-22000000
χ4022-2-2222-2-2-2-222-2200-22-22000000000-22-22000000000000-22002-200000022-2-2222-2-2-2-222-2200-22-22000000000-22-22000000000000-22002-2000000
χ41444-4-4444444440000-4-4-4-40000000000000000000000000000000000000444-4-4444444440000-4-4-4-40000000000000000000000000000000000000
χ42444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−51+51+5000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000000000000000444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−51+51+5000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000000000000000
χ43444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−51+51+500000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000000000000000000000000000444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−51+51+500000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000000000000000000000000000
χ44444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+51−51−5000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000000000000000444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+51−51−5000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000000000000000
χ45444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+51−51−500000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000000000000000000000000000444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+51−51−500000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000000000000000000000000000
χ4644-44-4−1+5−1−51−51−51+51+5−1+5−1−5004-4−1+51−5−1−51+50000000000000−1+51−5−1−51+50000000000000000000044-44-4−1+5−1−51−51−51+51+5−1+5−1−5004-4−1+51−5−1−51+50000000000000−1+51−5−1−51+500000000000000000000
χ4744-44-4−1+5−1−51−51−51+51+5−1+5−1−500-44−1+51−5−1−51+500000000000001−5−1+51+5−1−50000000000000000000044-44-4−1+5−1−51−51−51+51+5−1+5−1−500-44−1+51−5−1−51+500000000000001−5−1+51+5−1−500000000000000000000
χ4844-44-4−1−5−1+51+51+51−51−5−1−5−1+5004-4−1−51+5−1+51−50000000000000−1−51+5−1+51−50000000000000000000044-44-4−1−5−1+51+51+51−51−5−1−5−1+5004-4−1−51+5−1+51−50000000000000−1−51+5−1+51−500000000000000000000
χ4944-44-4−1−5−1+51+51+51−51−5−1−5−1+500-44−1−51+5−1+51−500000000000001+5−1−51−5−1+50000000000000000000044-44-4−1−5−1+51+51+51−51−5−1−5−1+500-44−1−51+5−1+51−500000000000001+5−1−51−5−1+500000000000000000000
χ5044-4-44−1+5−1−51−51−51+51+5−1+5−1−54-4001−5−1+51+5−1−5000000000−1+51−5−1−51+500000000000000000000000044-4-44−1+5−1−51−51−51+51+5−1+5−1−54-4001−5−1+51+5−1−5000000000−1+51−5−1−51+5000000000000000000000000
χ5144-4-44−1+5−1−51−51−51+51+5−1+5−1−5-44001−5−1+51+5−1−50000000001−5−1+51+5−1−500000000000000000000000044-4-44−1+5−1−51−51−51+51+5−1+5−1−5-44001−5−1+51+5−1−50000000001−5−1+51+5−1−5000000000000000000000000
χ5244-4-44−1−5−1+51+51+51−51−5−1−5−1+54-4001+5−1−51−5−1+5000000000−1−51+5−1+51−500000000000000000000000044-4-44−1−5−1+51+51+51−51−5−1−5−1+54-4001+5−1−51−5−1+5000000000−1−51+5−1+51−5000000000000000000000000
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χ10844-4-44−1+5−1−51−51−51+51+5−1+5−1−54-4001−5−1+51+5−1−5000000000−1+51−5−1−51+5000000000000000000000000-4-444-41−51+5−1+5−1+5−1−5−1−51−51+5-4400−1+51−5−1−51+50000000001−5−1+51+5−1−5000000000000000000000000
χ10944-4-44−1+5−1−51−51−51+51+5−1+5−1−5-44001−5−1+51+5−1−50000000001−5−1+51+5−1−5000000000000000000000000-4-444-41−51+5−1+5−1+5−1−5−1−51−51+54-400−1+51−5−1−51+5000000000−1+51−5−1−51+5000000000000000000000000
χ11044-4-44−1−5−1+51+51+51−51−5−1−5−1+54-4001+5−1−51−5−1+5000000000−1−51+5−1+51−5000000000000000000000000-4-444-41+51−5−1−5−1−5−1+5−1+51+51−5-4400−1−51+5−1+51−50000000001+5−1−51−5−1+5000000000000000000000000
χ11144-4-44−1−5−1+51+51+51−51−5−1−5−1+5-44001+5−1−51−5−1+50000000001+5−1−51−5−1+5000000000000000000000000-4-444-41+51−5−1−5−1−5−1+5−1+51+51−54-400−1−51+5−1+51−5000000000−1−51+5−1+51−5000000000000000000000000
χ1128-8000880000-8-8000000000000000000000000000000000000000000000-88000-8-8000088000000000000000000000000000000000000000000000
χ1138-8000−2+25−2−254ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ32−252+25000000000000000000000000000000000000000000000-880002−252+25−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ3−2+25−2−25000000000000000000000000000000000000000000000
χ1148-8000−2+25−2−25−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ32−252+25000000000000000000000000000000000000000000000-880002−252+254ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ3−2+25−2−25000000000000000000000000000000000000000000000
χ1158-8000−2−25−2+254ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ42+252−25000000000000000000000000000000000000000000000-880002+252−25−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ4−2−25−2+25000000000000000000000000000000000000000000000
χ1168-8000−2−25−2+25−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ42+252−25000000000000000000000000000000000000000000000-880002+252−254ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ4−2−25−2+25000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).