Finite Group Databasebeta

← Group #13019326

Character table — Group #13019326

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111224444444444445555888881010161616161616161616161616161620202020404040404040404040404040404040404040404040
order12222244445101010101010102222224442210101010202020202020202020204444224444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-111111111-1-11-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111111111-1-1-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111-1-11111111111111111-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-111-1-111-1-111-1-1
χ10111111-1-11111111111111111-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111
χ11111111-1-111111111111111-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-111
χ12111111-1-111111111111111-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-11111-1-111-1-1
χ13111111-1-11111111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111ii−i−i−i−iiiii−i−i−i−iii
χ14111111-1-11111111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111−i−iiiii−i−i−i−iiiii−i−i
χ15111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222-2-222222222222200-200220000220000-2-2-2-222-2-200-2000000000000000000
χ1822222222-2-222222222-2-2-2-200-200-2-20000220000-2-2-2-2-2-222002000000000000000000
χ19222222-2-2-2-222222222222200200220000-2-20000-2-222-2-2-2-2002000000000000000000
χ20222222-2-2-2-222222222-2-2-2-200200-2-20000-2-20000-2-222222200-2000000000000000000
χ212222-2-2002-222-2-22-2-22222200000-2-200000000002-200002-200000002-2002-200000000
χ222222-2-2002-222-2-22-2-22222200000-2-200000000002-200002-20000000-2200-2200000000
χ232222-2-2002-222-2-22-2-22-2-2-2-2000002200000000002-20000-2200000002i−2i00−2i2i00000000
χ242222-2-2002-222-2-22-2-22-2-2-2-2000002200000000002-20000-220000000−2i2i002i−2i00000000
χ252222-2-200-2222-2-22-2-22222200000-2-20000000000-220000-22000002-2002-20000000000
χ262222-2-200-2222-2-22-2-22222200000-2-20000000000-220000-2200000-2200-220000000000
χ272222-2-200-2222-2-22-2-22-2-2-2-200000220000000000-2200002-2000002i−2i00−2i2i0000000000
χ282222-2-200-2222-2-22-2-22-2-2-2-200000220000000000-2200002-200000−2i2i002i−2i0000000000
χ292-22-2-222-2002-2-2-2222-222-2-2000002-200002-2000000002-2000000000000000i2−i2i2−i2i2−i2i2−i2
χ302-22-2-222-2002-2-2-2222-222-2-2000002-200002-2000000002-2000000000000000−i2i2−i2i2−i2i2−i2i2
χ312-22-2-222-2002-2-2-2222-2-2-22200000-2200002-200000000-220000000000000002−22−2−22−22
χ322-22-2-222-2002-2-2-2222-2-2-22200000-2200002-200000000-22000000000000000−22−222−22−2
χ332-22-2-22-22002-2-2-2222-222-2-2000002-20000-2200000000-22000000000000000i2−i2−i2i2i2−i2−i2i2
χ342-22-2-22-22002-2-2-2222-222-2-2000002-20000-2200000000-22000000000000000−i2i2i2−i2−i2i2i2−i2
χ352-22-2-22-22002-2-2-2222-2-2-22200000-220000-22000000002-20000000000000002−2−22−222−2
χ362-22-2-22-22002-2-2-2222-2-2-22200000-220000-22000000002-2000000000000000−222−22−2−22
χ374444444444-1-1-1-1-1-1-1-100004444400-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000
χ384444444444-1-1-1-1-1-1-1-10000-4-44-4-4001111-1-11111-1-1-1-10000000000000000000000000
χ3944444444-4-4-1-1-1-1-1-1-1-1000000-4000055−5−5-1-155−5−511110000000000000000000000000
χ4044444444-4-4-1-1-1-1-1-1-1-1000000-40000−5−555-1-1−5−55511110000000000000000000000000
χ41444444-4-444-1-1-1-1-1-1-1-1000044-4-4-400-1-1-1-1111111-1-1110000000000000000000000000
χ42444444-4-444-1-1-1-1-1-1-1-10000-4-4-44400111111-1-1-1-1-1-1110000000000000000000000000
χ43444444-4-4-4-4-1-1-1-1-1-1-1-10000004000055−5−511−5−55511-1-10000000000000000000000000
χ44444444-4-4-4-4-1-1-1-1-1-1-1-100000040000−5−5551155−5−511-1-10000000000000000000000000
χ4544-4-40000004400-400-44-44-40002i−2i000000002i−2i2i−2i000000000002i−2i0000000000000000
χ4644-4-40000004400-400-44-44-4000−2i2i00000000−2i2i−2i2i00000000000−2i2i0000000000000000
χ4744-4-40000004400-400-4-44-440002i−2i000000002i−2i2i−2i00000000000−2i2i0000000000000000
χ4844-4-40000004400-400-4-44-44000−2i2i00000000−2i2i−2i2i000000000002i−2i0000000000000000
χ494-44-44-400004-4444-4-4-444-4-400000-44000000000000000000000000000000000000000
χ504-44-44-400004-4444-4-4-4-4-444000004-4000000000000000000000000000000000000000
χ514-4-440000004-400-40044-4-442-2000002-22-2000000000000002-20000000000000000000
χ524-4-440000004-400-40044-4-44-2200000-22-2200000000000000-220000000000000000000
χ534-4-440000004-400-4004-444-42-2000002-22-200000000000000-220000000000000000000
χ544-4-440000004-400-4004-444-4-2200000-22-22000000000000002-20000000000000000000
χ558888-8-8008-8-2-222-222-2000000000000000000000-22000000000000000000000000000
χ568888-8-800-88-2-222-222-20000000000000000000002-2000000000000000000000000000
χ5788-8-8000000-2-225−25225−25200000004i−4i00000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000
χ5888-8-8000000-2-225−25225−2520000000−4i4i000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000
χ5988-8-8000000-2-2−25252−2525200000004i−4i00000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000
χ6088-8-8000000-2-2−25252−252520000000−4i4i000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000
χ618-88-88-80000-22-2-2-2222000000000000000000000002i5−2i50000000000000000000000000
χ628-88-88-80000-22-2-2-222200000000000000000000000−2i52i50000000000000000000000000
χ638-88-8-888-800-2222-2-2-22000000000000000-22000000000000000000000000000000000
χ648-88-8-88-8800-2222-2-2-220000000000000002-2000000000000000000000000000000000
χ658-8-88000000-2225−252−2525-200004-400000−1+51−5−1−51+500000000000000000000000000000000000
χ668-8-88000000-2225−252−2525-20000-44000001−5−1+51+5−1−500000000000000000000000000000000000
χ678-8-88000000-22−2525225−25-200004-400000−1−51+5−1+51−500000000000000000000000000000000000
χ688-8-88000000-22−2525225−25-20000-44000001+5−1−51−5−1+500000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.