Finite Group Databasebeta

← Group #9045

Character table — Group #9045

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222222224444444422444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-111-1-11-111-1-11-1ii−i−i1-11-1i−i1-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i
χ101-111-1-11-111-1-11-1ii−i−i1-11-1i−i1-1i−ii−i-1-111−i−iii-1-111−i−iii
χ111-111-1-11-111-1-11-1ii−i−i1-1-11i−i-11−ii−ii11-1-1ii−i−i-1-111−i−iii
χ121-111-1-11-111-1-11-1ii−i−i1-1-11i−i-11−ii−ii-1-111−i−iii11-1-1ii−i−i
χ131-111-1-11-111-1-11-1−i−iii1-11-1−ii1-1−ii−ii11-1-1−i−iii11-1-1−i−iii
χ141-111-1-11-111-1-11-1−i−iii1-11-1−ii1-1−ii−ii-1-111ii−i−i-1-111ii−i−i
χ151-111-1-11-111-1-11-1−i−iii1-1-11−ii-11i−ii−i11-1-1−i−iii-1-111ii−i−i
χ161-111-1-11-111-1-11-1−i−iii1-1-11−ii-11i−ii−i-1-111ii−i−i11-1-1−i−iii
χ17222222222222-2-22222-2-200-2-20000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-200220000000000000000000000
χ1922222222-2-2-2-22-20000-2200000022-2-20000000000000000
χ2022222222-2-2-2-22-20000-22000000-2-2220000000000000000
χ2122222222-2-2-2-2-2200002-22200-2-200000000000000000000
χ2222222222-2-2-2-2-2200002-2-2-2002200000000000000000000
χ23222-22-2-2-22-2-22002i−2i2i−2i00000000000000000000i2−i2i2−i22−22−2
χ24222-22-2-2-22-2-22002i−2i2i−2i00000000000000000000−i2i2−i2i2−22−22
χ25222-22-2-2-22-2-2200−2i2i−2i2i00000000000000000000i2−i2i2−i2−22−22
χ26222-22-2-2-22-2-2200−2i2i−2i2i00000000000000000000−i2i2−i2i22−22−2
χ272-222-2-22-222-2-2-222i2i−2i−2i-2200−2i2i0000000000000000000000
χ282-222-2-22-222-2-2-22−2i−2i2i2i-22002i−2i0000000000000000000000
χ292-222-2-22-2-2-222220000-2-20000002i−2i−2i2i0000000000000000
χ302-222-2-22-2-2-222220000-2-2000000−2i2i2i−2i0000000000000000
χ312-222-2-22-2-2-222-2-20000222-200-2200000000000000000000
χ322-222-2-22-2-2-222-2-2000022-22002-200000000000000000000
χ332-22-2-22-222-22-2002-2-2200000000000000000000i2−i2−i2i2−i2i2i2−i2
χ342-22-2-22-222-22-2002-2-2200000000000000000000−i2i2i2−i2i2−i2−i2i2
χ352-22-2-22-222-22-200-222-200000000000000000000i2−i2−i2i2i2−i2−i2i2
χ362-22-2-22-222-22-200-222-200000000000000000000−i2i2i2−i2−i2i2i2−i2
χ37444-44-4-4-4-444-40000000000000000000000000000000000
χ3844-44-4-4-4400000000000000000000002i−2i2i−2i000000000000
χ3944-44-4-4-440000000000000000000000−2i2i−2i2i000000000000
χ4044-4-4-444-4000000000000000000000000002i−2i2i−2i00000000
χ4144-4-4-444-400000000000000000000000000−2i2i−2i2i00000000
χ424-44-4-44-44-44-440000000000000000000000000000000000
χ434-4-4444-4-400000000000000000000002i−2i−2i2i000000000000
χ444-4-4444-4-40000000000000000000000−2i2i2i−2i000000000000
χ454-4-4-44-444000000000000000000000000002-2-2200000000
χ464-4-4-44-44400000000000000000000000000-222-200000000

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