Finite Group Databasebeta

← Group #13104069

Character table — Group #13104069

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size112444445555888888888810101616161616162020202020202525404040404040505050505050505050100100100100100
order124455101022445510102020202020202420202020202024101020204410101020202024444444428888
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111-1-11111111111-11111111-1111-1-1-1-1-1-1-1111-1iiii−i−i−i−i-1ii−i−i
χ41111111111-1-11111111111-11111111-1111-1-1-1-1-1-1-1111-1−i−i−i−iiiii-1−i−iii
χ511111111-1-11111111111111-11111111-1-1-111-1-1111-1-1-1-1ii−i−iii−i−i-1i−ii−i
χ611111111-1-11111111111111-11111111-1-1-111-1-1111-1-1-1-1−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
χ9111-11111111111111-1-11-1-11111-1-1-1-1-1-11111111-1-11-1-1111111111-1-1-1-1-1
χ10111-11111111111111-1-11-1-11111-1-1-1-1-1-11111111-1-11-1-11-1-1-1-1-1-1-1-1-11111
χ11111-1111111-1-111111-1-11-1-1-1111-1-1-1-11-111-1-1-1-1-1111-1-1-1iiii−i−i−i−i1−i−iii
χ12111-1111111-1-111111-1-11-1-1-1111-1-1-1-11-111-1-1-1-1-1111-1-1-1−i−i−i−iiiii1ii−i−i
χ13111-11111-1-11111111-1-11-1-11-111-1-1-1-1-11-1-111-1-11-1-1-111-1ii−i−iii−i−i1−ii−ii
χ14111-11111-1-11111111-1-11-1-11-111-1-1-1-1-11-1-111-1-11-1-1-111-1−i−iii−i−iii1i−ii−i
χ15111-11111-1-1-1-111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-111-111111-1-1-1-111-1-111-1
χ16111-11111-1-1-1-111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-111-1111-1-11111-1-1-11-1-11
χ1722-20222222222222-200-200-2-2-2-2000000222222-200-200-20000000000000
χ1822-20222222-2-22222-200-2002-2-2-200000022-2-2-2-2200-20020000000000000
χ1922-202222-2-2222222-200-200-22-2-2000000-2-222-2-2-20020020000000000000
χ2022-202222-2-2-2-22222-200-20022-2-2000000-2-2-2-222200200-20000000000000
χ212-20022-2-22-22i−2i22-2-200000000000000002-22i−2i2i−2i00000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000
χ222-20022-2-22-22i−2i22-2-200000000000000002-22i−2i2i−2i0000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000
χ232-20022-2-22-2−2i2i22-2-200000000000000002-2−2i2i−2i2i00000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000
χ242-20022-2-22-2−2i2i22-2-200000000000000002-2−2i2i−2i2i0000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000
χ252-20022-2-2-222i−2i22-2-20000000000000000-222i−2i−2i2i00000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000
χ262-20022-2-2-222i−2i22-2-20000000000000000-222i−2i−2i2i0000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000
χ272-20022-2-2-22−2i2i22-2-20000000000000000-22−2i2i2i−2i00000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000
χ282-20022-2-2-22−2i2i22-2-20000000000000000-22−2i2i2i−2i0000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000
χ2944444-1-140044-1-1-1-1-1-1-144440-1-1-1-1-1-14000-1-100-1-1-100000000000000000
χ3044444-1-1400-4-4-1-1-1-1-1-1-1444-40-1-1-1-1-1-1-4000110011100000000000000000
χ314444-144-14400-1-1-1-1444-1-1-104-1-1-1-1-1-104-1-10000000-1-1-100000000000000
χ324444-144-1-4-400-1-1-1-1444-1-1-10-4-1-1-1-1-1-10-411000000011100000000000000
χ33444-44-1-140044-1-1-1-1-1114-4-440-1-11111-4000-1-100-11100000000000000000
χ34444-44-1-1400-4-4-1-1-1-1-1114-4-4-40-1-11111400011001-1-100000000000000000
χ35444-4-144-14400-1-1-1-14-4-4-11104-1-111110-4-1-10000000-11100000000000000
χ36444-4-144-1-4-400-1-1-1-14-4-4-1110-4-1-11111041100000001-1-100000000000000
χ3744-404-1-140044-1-1-1-115−5-400-401155−5−50000-1-10015−500000000000000000
χ3844-404-1-140044-1-1-1-11−55-400-4011−5−5550000-1-1001−5500000000000000000
χ3944-404-1-1400-4-4-1-1-1-115−5-400401155−5−500001100-1−5500000000000000000
χ4044-404-1-1400-4-4-1-1-1-11−55-4004011−5−55500001100-15−500000000000000000
χ4144-40-144-14400-1-1-1-1-40015−50-4115−55−500-1-1000000015−500000000000000
χ4244-40-144-14400-1-1-1-1-4001−550-411−55−5500-1-100000001−5500000000000000
χ4344-40-144-1-4-400-1-1-1-1-40015−504115−55−500110000000-1−5500000000000000
χ4444-40-144-1-4-400-1-1-1-1-4001−550411−55−5500110000000-15−500000000000000
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
χ47888-8-2-2-2-200003-23-2-222-222003-2-322-30000000000000000000000000000
χ48888-8-2-2-2-20000-23-23-222-22200-232-3-320000000000000000000000000000
χ4988-80-2-2-2-200003-23-2225−25225−2500-32−50050000000000000000000000000000
χ5088-80-2-2-2-200003-23-22−25252−252500-32500−50000000000000000000000000000
χ5188-80-2-2-2-20000-23-23225−252−2525002-30−5500000000000000000000000000000
χ5288-80-2-2-2-20000-23-232−2525225−25002-305−500000000000000000000000000000
χ538-8008-22-8008i−8i-2-222000000000000000000−2i2i0000000000000000000000
χ548-8008-22-800−8i8i-2-2220000000000000000002i−2i0000000000000000000000
χ558-800-28-828-800-2-2220000000000000000-22000000000000000000000000
χ568-800-28-82-8800-2-22200000000000000002-2000000000000000000000000
χ5716-1600-4-44400006-4-64000000000000000000000000000000000000000000
χ5816-1600-4-4440000-464-6000000000000000000000000000000000000000000

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