Finite Group Databasebeta

← Group #13026749

Character table — Group #13026749

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11244444445588101616161616161620202020202020202020202020323232323240404040404040404080808080
order12222444510224102441010202020224444444444420202020204444444444488
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111-1-11111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ4111111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111
χ51111111111-1-111-11111111-1-1-1-1iiii−i−i−i−i-111111-1ii−i−iii−i−i-1-1i−i
χ61111111111-1-111-11111111-1-1-1-1−i−i−i−iiiii-111111-1−i−iii−i−iii-1-1−ii
χ71111111111-1-111-1-1-111111-1-1-1-1iiii−i−i−i−i-11-1-1-1-1-1−i−iiiii−i−i11−ii
χ81111111111-1-111-1-1-111111-1-1-1-1−i−i−i−iiiii-11-1-1-1-1-1ii−i−i−i−iii11i−i
χ9111111-1-11111-1111-1111-1-111-1-111-1-111-1-11-111-1-1-111111-11-11-1-1-1
χ10111111-1-11111-1111-1111-1-111-1-1-1-111-1-1111-111-1-1-1-1-1-1-1-11-111-111
χ11111111-1-11111-111-11111-1-111-1-111-1-111-1-11-1-1-111-1-1-1-1-11-11-1-1111
χ12111111-1-11111-111-11111-1-111-1-1-1-111-1-1111-1-1-111-11111-11-11-11-1-1
χ13111111-1-111-1-1-11-11-1111-1-1-1-111ii−i−i−i−iii-1-111-1-11ii−i−ii−i−ii-11−ii
χ14111111-1-111-1-1-11-11-1111-1-1-1-111−i−iiiii−i−i-1-111-1-11−i−iii−iii−i-11i−i
χ15111111-1-111-1-1-11-1-11111-1-1-1-111ii−i−i−i−iii-1-1-1-1111−i−iiii−i−ii1-1i−i
χ16111111-1-111-1-1-11-1-11111-1-1-1-111−i−iiiii−i−i-1-1-1-1111ii−i−i−iii−i1-1−ii
χ172222-2-2002222022002-2-2002-20022002200-20000000000-20-200000
χ182222-2-2002222022002-2-2002-200-2-200-2-200-2000000000020200000
χ192222-2-20022-2-202-2002-2-200-22002i2i00−2i−2i0020000000000−2i02i00000
χ202222-2-20022-2-202-2002-2-200-2200−2i−2i002i2i00200000000002i0−2i00000
χ21222-22-200222202200-22-200-220000220022-200000000000-20-20000
χ22222-22-200222202200-22-200-220000-2-200-2-2-2000000000002020000
χ23222-22-20022-2-202-200-22-2002-200002i2i00−2i−2i200000000000−2i02i0000
χ24222-22-20022-2-202-200-22-2002-20000−2i−2i002i2i2000000000002i0−2i0000
χ25222-2-22222222-22200-2-2222-2-222000000002-20000-2000000000000
χ26222-2-222222-2-2-22-200-2-222222-2-200000000-2-200002000000000000
χ27222-2-22-2-2222222200-2-22-2-2-2-2-2-2000000002200002000000000000
χ28222-2-22-2-222-2-222-200-2-22-2-2222200000000-220000-2000000000000
χ2944444444-1-1004-1044-1-1-1-1-10000000000000-1-1-1-1-10000000000000
χ3044444444-1-1004-10-4-4-1-1-1-1-10000000000000-111110000000000000
χ31444444-4-4-1-100-4-104-4-1-1-11100000000000001-1-1110000000000000
χ32444444-4-4-1-100-4-10-44-1-1-1110000000000000111-1-10000000000000
χ33444-4-4444-1-100-4-100011-1-1-100000000000001i5−i5i5−i50000000000000
χ34444-4-4444-1-100-4-100011-1-1-100000000000001−i5i5−i5i50000000000000
χ35444-4-44-4-4-1-1004-100011-1110000000000000-1i5−i5−i5i50000000000000
χ36444-4-44-4-4-1-1004-100011-1110000000000000-1−i5i5i5−i50000000000000
χ3744-40000044440-4-4000000000000000000000000002-22-200000000
χ3844-40000044440-4-400000000000000000000000000-22-2200000000
χ3944-40000044-4-40-44000000000000000000000000002i−2i−2i2i00000000
χ4044-40000044-4-40-4400000000000000000000000000−2i2i2i−2i00000000
χ414-400002i−2i4-44-4000000002i−2i002i−2i2-22i−2i2-22i−2i0000000000000000000
χ424-400002i−2i4-44-4000000002i−2i002i−2i-22−2i2i-22−2i2i0000000000000000000
χ434-400002i−2i4-4-44000000002i−2i00−2i2i2i−2i-22−2i2i2-20000000000000000000
χ444-400002i−2i4-4-44000000002i−2i00−2i2i−2i2i2-22i−2i-220000000000000000000
χ454-40000−2i2i4-44-400000000−2i2i00−2i2i2-2−2i2i2-2−2i2i0000000000000000000
χ464-40000−2i2i4-44-400000000−2i2i00−2i2i-222i−2i-222i−2i0000000000000000000
χ474-40000−2i2i4-4-4400000000−2i2i002i−2i2i−2i2-2−2i2i-220000000000000000000
χ484-40000−2i2i4-4-4400000000−2i2i002i−2i−2i2i-222i−2i2-20000000000000000000
χ498888-8-800-2-2000-2000-222000000000000000000000000000000000
χ50888-88-800-2-2000-20002-22000000000000000000000000000000000
χ511616-1600000-4-40004000000000000000000000000000000000000000
χ5216-1600008i−8i-440000000000−2i2i0000000000000000000000000000000
χ5316-160000−8i8i-4400000000002i−2i0000000000000000000000000000000

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