Finite Group Databasebeta

← Group #10604618

Character table — Group #10604618

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1122244444444558888888101010161616162020202020202020202020204040404040
order12244224451010104422020202020202241010101044448888888844444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111-1-11111111-1-1-11111-1-1-1-1iiii−i−i−i−i-1ii−i−i
χ41111111111111-1-11111111-1-1-11111-1-1-1-1−i−i−i−iiiii-1−i−iii
χ51111111-1-1111111-111-1-1-1-111111-1-111-1-111111111-1-1-1-1-1
χ61111111-1-1111111-111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111-1-11111-1-1-111-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i1−i−iii
χ81111111-1-11111-1-1-111-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii1ii−i−i
χ911111-1-111111111-1111111111-1-1-1-1-1-11111-1-111-1-1-11-11-1
χ1011111-1-111111111-1111111111-1-1-1-1-1-111-1-111-1-111-1-11-11
χ1111111-1-1111111-1-1-1111111-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1i−i−ii
χ1211111-1-1111111-1-1-1111111-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1−iii−i
χ1311111-1-1-1-1111111111-1-1-1-1111-1-111-1-1-1-111-1-111-1-11-11-11
χ1411111-1-1-1-1111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-11111-11-1
χ1511111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii-1−iii−i
χ1611111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−i-1i−i−ii
χ17222-2-22-2002222220-2-20000-2-222-2002-2000000000000000
χ18222-2-22-2002222-2-20-2-2000022-22-200-22000000000000000
χ19222-2-2-22002222220-2-20000-2-22-2200-22000000000000000
χ20222-2-2-22002222-2-20-2-2000022-2-22002-2000000000000000
χ2122-22-2000022-2-22202-200002-2-200000000002-2002-200000
χ2222-22-2000022-2-22202-200002-2-20000000000-2200-2200000
χ2322-22-2000022-2-2-2-202-20000-22200000000002i−2i00−2i2i00000
χ2422-22-2000022-2-2-2-202-20000-2220000000000−2i2i002i−2i00000
χ2522-2-22000022-2-2220-220000-22-2000000002-2002-20000000
χ2622-2-22000022-2-2220-220000-22-200000000-2200-220000000
χ2722-2-22000022-2-2-2-20-2200002-22000000002i−2i00−2i2i0000000
χ2822-2-22000022-2-2-2-20-2200002-2200000000−2i2i002i−2i0000000
χ29444444444-1-1-1-1004-1-1-1-1-1-1000-1-1-1-100000000000000000
χ304444444-4-4-1-1-1-100-4-1-11111000-1-11100000000000000000
χ3144444-4-444-1-1-1-100-4-1-1-1-1-1-1000111100000000000000000
χ3244444-4-4-4-4-1-1-1-1004-1-1111100011-1-100000000000000000
χ33444-4-44-400-1-1-1-10001155−5−5000-115−500000000000000000
χ34444-4-44-400-1-1-1-100011−5−555000-11−5500000000000000000
χ35444-4-4-4400-1-1-1-10001155−5−50001-1−5500000000000000000
χ36444-4-4-4400-1-1-1-100011−5−5550001-15−500000000000000000
χ374-4000002-24-4004i−4i0002-22-20000000002i−2i0000000000000
χ384-4000002-24-400−4i4i0002-22-2000000000−2i2i0000000000000
χ394-400000-224-4004i−4i000-22-22000000000−2i2i0000000000000
χ404-400000-224-400−4i4i000-22-220000000002i−2i0000000000000
χ4188-88-80000-2-222000-220000000000000000000000000000
χ4288-8-880000-2-2220002-20000000000000000000000000000
χ438-8000004-4-2225−2500000−1+51−5−1−51+5000000000000000000000000
χ448-8000004-4-22−252500000−1−51+5−1+51−5000000000000000000000000
χ458-800000-44-2225−25000001−5−1+51+5−1−5000000000000000000000000
χ468-800000-44-22−2525000001+5−1−51−5−1+5000000000000000000000000

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