Finite Group Databasebeta

← Group #140319

Character table — Group #140319

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order1222224444444444888844448888888888888816161616161616162488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1111-1-1-1-111-111-1-1ii−i−i1-1ii−i−iii−i−i11-1-1ii−i−i11-1-11-1i−i
χ101111-1-1111-1-1-1-111-111-1-1ii−i−i1-1ii−i−iii−i−i11-1-1−i−iii-1-111-11−ii
χ111111-1-1111-1-1-1-111-111-1-1ii−i−i1-1ii−i−i−i−iii-1-111ii−i−i11-1-1-11−ii
χ121111-1-1111-1-1-1-111-111-1-1ii−i−i1-1ii−i−i−i−iii-1-111−i−iii-1-1111-1i−i
χ131111-1-1111-1-1-1-111-111-1-1−i−iii1-1−i−iiiii−i−i-1-111ii−i−i-1-1111-1−ii
χ141111-1-1111-1-1-1-111-111-1-1−i−iii1-1−i−iiiii−i−i-1-111−i−iii11-1-1-11i−i
χ151111-1-1111-1-1-1-111-111-1-1−i−iii1-1−i−iii−i−iii11-1-1ii−i−i-1-111-11i−i
χ161111-1-1111-1-1-1-111-111-1-1−i−iii1-1−i−iii−i−iii11-1-1−i−iii11-1-11-1−ii
χ172222222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ19222222-222-2-2-2-2-2-2222-2-20000-2200002i−2i2i−2i0000000000000000
χ20222222-222-2-2-2-2-2-2222-2-20000-220000−2i2i−2i2i0000000000000000
χ21222222-222-2-2-2-2-2-22-2-22200002-2000000002i−2i2i−2i000000000000
χ22222222-222-2-2-2-2-2-22-2-22200002-200000000−2i2i−2i2i000000000000
χ23222222-2-2-2-2-222-22-200002-22-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ24222222-2-2-2-2-222-22-200002-22-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ25222222-2-2-2-2-222-22-20000-22-2200000000000000i2−i2i2−i2−i2i2−i2i20000
χ26222222-2-2-2-2-222-22-20000-22-2200000000000000−i2i2−i2i2i2−i2i2−i20000
χ272222-2-2222-2-2-2-222-2-2-2222i2i−2i−2i-22−2i−2i2i2i00000000000000000000
χ282222-2-2222-2-2-2-222-2-2-222−2i−2i2i2i-222i2i−2i−2i00000000000000000000
χ292222-2-2-2222222-2-2-222220000-2-200002-2-220000000000000000
χ302222-2-2-2222222-2-2-222220000-2-20000-222-20000000000000000
χ312222-2-2-2222222-2-2-2-2-2-2-2000022000000002i−2i−2i2i000000000000
χ322222-2-2-2222222-2-2-2-2-2-2-200002200000000−2i2i2i−2i000000000000
χ332222-2-2-2-2-222-2-2-22200002i−2i−2i2i000000000000002−2−22−i2i2i2−i20000
χ342222-2-2-2-2-222-2-2-22200002i−2i−2i2i00000000000000−222−2i2−i2−i2i20000
χ352222-2-2-2-2-222-2-2-2220000−2i2i2i−2i000000000000002−2−22i2−i2−i2i20000
χ362222-2-2-2-2-222-2-2-2220000−2i2i2i−2i00000000000000−222−2−i2i2i2−i20000
χ374444444-4-444-4-44-4-40000000000000000000000000000000000
χ384444-4-44-4-4-4-4444-440000000000000000000000000000000000
χ3944-4-40004-44i−4i4i−4i00000000000002+2i−2−2i2−2i−2+2i00000000000000000000
χ4044-4-40004-44i−4i4i−4i0000000000000−2−2i2+2i−2+2i2−2i00000000000000000000
χ4144-4-40004-4−4i4i−4i4i00000000000002−2i−2+2i2+2i−2−2i00000000000000000000
χ4244-4-40004-4−4i4i−4i4i0000000000000−2+2i2−2i−2−2i2+2i00000000000000000000
χ4344-4-4000-444i−4i−4i4i0004-44i−4i000000000000000000000000000000
χ4444-4-4000-444i−4i−4i4i000-44−4i4i000000000000000000000000000000
χ4544-4-4000-44−4i4i4i−4i0004-4−4i4i000000000000000000000000000000
χ4644-4-4000-44−4i4i4i−4i000-444i−4i000000000000000000000000000000
χ478-88-8008000000-8000000000000000000000000000000000000
χ488-88-800-80000008000000000000000000000000000000000000
χ498-8-888-800000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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