Finite Group Databasebeta

← Group #13104081

Character table — Group #13104081

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size112444445555888888888810101616161616162020202020202525404040404040505050505050505050100100100100100
order124455101044445510102020202020202220202020202022202020202210101010101048888888844444
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111-1-111111111111-11111111-111-1-1-1-1111-1-1-1-1iiii−i−i−i−i-1ii−i−i
χ41111111111-1-111111111111-11111111-111-1-1-1-1111-1-1-1-1−i−i−i−iiiii-1−i−iii
χ511111111-1-1111111111111-11111111-11-1-111-1-1-1-1-1111-1ii−i−iii−i−i-1i−ii−i
χ611111111-1-1111111111111-11111111-11-1-111-1-1-1-1-1111-1−i−iii−i−iii-1−ii−ii
χ711111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11111-1-11
χ811111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-11-111-1
χ9111-111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11-1-1111111111-1-1-1-1-1
χ10111-111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11-1-11-1-1-1-1-1-1-1-1-11111
χ11111-1111111-1-1111111-1-1-1-11-111-1-1-1-1-1111-1-1-1-11-1-1-111-1iiii−i−i−i−i1−i−iii
χ12111-1111111-1-1111111-1-1-1-11-111-1-1-1-1-1111-1-1-1-11-1-1-111-1−i−i−i−iiiii1ii−i−i
χ13111-11111-1-111111111-1-1-1-1-1111-1-1-1-11-1-1-111-1-1-1111-1-1-1ii−i−iii−i−i1−ii−ii
χ14111-11111-1-111111111-1-1-1-1-1111-1-1-1-11-1-1-111-1-1-1111-1-1-1−i−iii−i−iii1i−ii−i
χ15111-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-111111-1-1-1-111-1-111-1
χ16111-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1111-1-11111-1-1-11-1-11
χ1722-20222222222222-2-20000-2-2-2-2000000222222-200-200-20000000000000
χ1822-20222222-2-22222-2-20000-22-2-200000022-2-2-2-2-20020020000000000000
χ1922-202222-2-2222222-2-200002-2-2-2000000-2-222-2-2200-20020000000000000
χ2022-202222-2-2-2-22222-2-2000022-2-2000000-2-2-2-222200200-20000000000000
χ212-20022-2-22i−2i2i−2i22-2-200000000000000002i−2i2i−2i2-20000000i2−i22−22−2i2−i200000
χ222-20022-2-22i−2i2i−2i22-2-200000000000000002i−2i2i−2i2-20000000−i2i2−22−22−i2i200000
χ232-20022-2-22i−2i−2i2i22-2-200000000000000002i−2i−2i2i-2200000002−2−i2i2i2−i2−2200000
χ242-20022-2-22i−2i−2i2i22-2-200000000000000002i−2i−2i2i-220000000−22i2−i2−i2i22−200000
χ252-20022-2-2−2i2i2i−2i22-2-20000000000000000−2i2i2i−2i-2200000002−2i2−i2−i2i2−2200000
χ262-20022-2-2−2i2i2i−2i22-2-20000000000000000−2i2i2i−2i-220000000−22−i2i2i2−i22−200000
χ272-20022-2-2−2i2i−2i2i22-2-20000000000000000−2i2i−2i2i2-20000000i2−i2−22−22i2−i200000
χ282-20022-2-2−2i2i−2i2i22-2-20000000000000000−2i2i−2i2i2-20000000−i2i22−22−2−i2i200000
χ2944444-14-10044-1-1-1-14-144-1-104-1-1-1-1-1-10400-1-100000-1-1-100000000000000
χ3044444-14-100-4-4-1-1-1-14-144-1-10-4-1-1-1-1-1-10-400110000011100000000000000
χ314444-14-144400-1-1-1-1-14-1-14440-1-1-1-1-1-140-1-10000-1-1-100000000000000000
χ324444-14-14-4-400-1-1-1-1-14-1-144-40-1-1-1-1-1-1-4011000011100000000000000000
χ33444-44-14-10044-1-1-1-14-1-4-41104-1-111110-400-1-100000-11100000000000000
χ34444-44-14-100-4-4-1-1-1-14-1-4-4110-4-1-11111040011000001-1-100000000000000
χ35444-4-14-144400-1-1-1-1-1411-4-440-1-11111-40-1-10000-11100000000000000000
χ36444-4-14-14-4-400-1-1-1-1-1411-4-4-40-1-11111401100001-1-100000000000000000
χ3744-404-14-10044-1-1-1-1-41005−50-41155−5−50000-1-10000015−500000000000000
χ3844-404-14-10044-1-1-1-1-4100−550-411−5−5550000-1-1000001−5500000000000000
χ3944-404-14-100-4-4-1-1-1-1-41005−5041155−5−500001100000-1−5500000000000000
χ4044-404-14-100-4-4-1-1-1-1-4100−550411−5−55500001100000-15−500000000000000
χ4144-40-14-144400-1-1-1-11-45−500-40115−55−500-1-1000015−500000000000000000
χ4244-40-14-144400-1-1-1-11-4−5500-4011−55−5500-1-100001−5500000000000000000
χ4344-40-14-14-4-400-1-1-1-11-45−50040115−55−500110000-1−5500000000000000000
χ4444-40-14-14-4-400-1-1-1-11-4−55004011−55−5500110000-15−500000000000000000
χ458888-2-2-2-200003-23-2-2-2-2-2-2-2003-23-2-230000000000000000000000000000
χ468888-2-2-2-20000-23-23-2-2-2-2-2-200-23-233-20000000000000000000000000000
χ47888-8-2-2-2-200003-23-2-2-22222003-2-322-30000000000000000000000000000
χ48888-8-2-2-2-20000-23-23-2-2222200-232-3-320000000000000000000000000000
χ4988-80-2-2-2-200003-23-22225−2525−2500-32−50050000000000000000000000000000
χ5088-80-2-2-2-200003-23-222−2525−252500-32500−50000000000000000000000000000
χ5188-80-2-2-2-20000-23-232225−25−2525002-305−500000000000000000000000000000
χ5288-80-2-2-2-20000-23-2322−252525−25002-30−5500000000000000000000000000000
χ538-8008-2-82008i−8i-2-222000000000000000000−2i2i0000000000000000000000
χ548-8008-2-8200−8i8i-2-2220000000000000000002i−2i0000000000000000000000
χ558-800-282-88i−8i00-2-2220000000000000000−2i2i000000000000000000000000
χ568-800-282-8−8i8i00-2-22200000000000000002i−2i000000000000000000000000
χ5716-1600-4-44400006-4-64000000000000000000000000000000000000000000
χ5816-1600-4-4440000-464-6000000000000000000000000000000000000000000

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