Finite Group Databasebeta

← Group #66089

Character table — Group #66089

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size112222244444444488881010202020112222244444444488881010202020
order1245510102282020404040401010101024248224101010102282020404040401010101024248
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1
χ311111111-1-111-1-1-1-111-1-1111-1-111111111-1-111-1-1-1-111-1-1111-1-1
χ411111111-1-111-1-1-1-111-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-111
χ51111111-11-111-1-1-1-1-1-11111-11-11111111-11-111-1-1-1-1-1-11111-11-1
χ61111111-11-111-1-1-1-1-1-111-1-11-111111111-11-111-1-1-1-1-1-111-1-11-11
χ71111111-1-11111111-1-1-1-111-1-111111111-1-11111111-1-1-1-111-1-11
χ81111111-1-11111111-1-1-1-1-1-111-11111111-1-11111111-1-1-1-1-1-111-1
χ9222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000
χ10222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000
χ11222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000
χ12222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000
χ13222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000
χ14222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000
χ15222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000
χ16222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000
χ1722-22222000-2-2000000002-200022-22222000-2-2000000002-2000
χ1822-22222000-2-200000000-2200022-22222000-2-200000000-22000
χ1944-4−1+5−1−5−1+5−1−50001−51+5000000000000044-4−1+5−1−5−1+5−1−50001−51+50000000000000
χ2044-4−1−5−1+5−1−5−1+50001+51−5000000000000044-4−1−5−1+5−1−5−1+50001+51−50000000000000
χ214-4044-4-40000000000000000004-4044-4-4000000000000000000
χ224-40−1+5−1−51−51+500000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ390000000004-40−1+5−1−51−51+500000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000
χ234-40−1+5−1−51−51+500000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ390000000004-40−1+5−1−51−51+500000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000
χ244-40−1−5−1+51+51−500000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000004-40−1−5−1+51+51−500000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000
χ254-40−1−5−1+51+51−500000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000004-40−1−5−1+51+51−500000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000
χ261111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ2811111111-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-111
χ2911111111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1
χ301111111-11-111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-11-11
χ311111111-11-111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-11-11-1-1111111-1-111-11-1
χ321111111-1-11111111-1-1-1-111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111-1
χ331111111-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11
χ34222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000-2-2-21−521+521−521+52-2-2-21−521+521−521−521+521+521−521+521−521+5200000
χ35222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000-2-2-21−521+521−521+52-2221−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−5200000
χ36222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000-2-2-21−521+521−521+522-221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+5200000
χ37222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000-2-2-21−521+521−521+5222-21−521+521−521−521+521+52−1+52−1−52−1+52−1−5200000
χ38222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000-2-2-21+521−521+521−52-2-2-21+521−521+521+521−521−521+521−521+521−5200000
χ39222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000-2-2-21+521−521+521−52-2221+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+5200000
χ40222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000-2-2-21+521−521+521−522-221+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−5200000
χ41222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000-2-2-21+521−521+521−5222-21+521−521+521+521−521−52−1−52−1+52−1−52−1+5200000
χ4222-22222000-2-2000000002-2000-2-22-2-2-2-20002200000000-22000
χ4322-22222000-2-200000000-22000-2-22-2-2-2-200022000000002-2000
χ4444-4−1+5−1−5−1+5−1−50001−51+50000000000000-4-441−51+51−51+5000−1+5−1−50000000000000
χ4544-4−1−5−1+5−1−5−1+50001+51−50000000000000-4-441+51−51+51−5000−1−5−1+50000000000000
χ464-4044-4-4000000000000000000-440-4-444000000000000000000
χ474-40−1+5−1−51−51+500000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000-4401−51+5−1+5−1−500000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000
χ484-40−1+5−1−51−51+500000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000-4401−51+5−1+5−1−500000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000
χ494-40−1−5−1+51+51−500000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000-4401+51−5−1−5−1+500000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000
χ504-40−1−5−1+51+51−500000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000-4401+51−5−1−5−1+500000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000

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