Finite Group Databasebeta

← Group #9044

Character table — Group #9044

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222222224444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ91-11-1-111-111-1-1ii−i−i1-11-11-1i−ii−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i
χ101-11-1-111-111-1-1ii−i−i1-11-11-1i−ii−i1-1i−i-1-111−i−iii-1-111−i−iii
χ111-11-1-111-111-1-1ii−i−i1-11-1-11−iii−i-11−ii11-1-1ii−i−i-1-111−i−iii
χ121-11-1-111-111-1-1ii−i−i1-11-1-11−iii−i-11−ii-1-111−i−iii11-1-1ii−i−i
χ131-11-1-111-111-1-1−i−iii1-11-11-1−ii−ii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ141-11-1-111-111-1-1−i−iii1-11-11-1−ii−ii1-1−ii-1-111ii−i−i-1-111ii−i−i
χ151-11-1-111-111-1-1−i−iii1-11-1-11i−i−ii-11i−i11-1-1−i−iii-1-111ii−i−i
χ161-11-1-111-111-1-1−i−iii1-11-1-11i−i−ii-11i−i-1-111ii−i−i11-1-1−i−iii
χ172222222222222222-2-2-2-20000-2-200000000000000000000
χ18222222222222-2-2-2-2-2-2-2-200002200000000000000000000
χ1922222222-2-2-2-200002-2-2200220000-2-20000000000000000
χ2022222222-2-2-2-200002-2-2200-2-20000220000000000000000
χ2122222222-2-2-2-20000-222-2220000-2-2000000000000000000
χ2222222222-2-2-2-20000-222-2-2-2000022000000000000000000
χ2322-22-22-2-22-2-222-22-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ2422-22-22-2-22-2-222-22-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ2522-22-22-2-22-2-22-22-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2622-22-22-2-22-2-22-22-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ272-22-2-222-222-2-22i2i−2i−2i-22-220000−2i2i00000000000000000000
χ282-22-2-222-222-2-2−2i−2i2i2i-22-2200002i−2i00000000000000000000
χ292-22-2-222-2-2-222000022-2-2002i−2i0000−2i2i0000000000000000
χ302-22-2-222-2-2-222000022-2-200−2i2i00002i−2i0000000000000000
χ312-22-2-222-2-2-2220000-2-2222-20000-22000000000000000000
χ322-22-2-222-2-2-2220000-2-222-2200002-2000000000000000000
χ332-2-2-222-222-22-22i−2i−2i2i0000000000000000000000i2−i2−i2i2−222−2
χ342-2-2-222-222-22-22i−2i−2i2i0000000000000000000000−i2i2i2−i22−2−22
χ352-2-2-222-222-22-2−2i2i2i−2i0000000000000000000000i2−i2−i2i22−2−22
χ362-2-2-222-222-22-2−2i2i2i−2i0000000000000000000000−i2i2i2−i2−222−2
χ37444-44-4-4-4000000000000000000000000002-22-200000000
χ38444-44-4-4-400000000000000000000000000-22-2200000000
χ3944-44-44-4-4-444-40000000000000000000000000000000000
χ4044-4-4-4-44400000000000000000000002i−2i2i−2i000000000000
χ4144-4-4-4-4440000000000000000000000−2i2i−2i2i000000000000
χ424-444-4-4-44000000000000000000000000002i−2i−2i2i00000000
χ434-444-4-4-4400000000000000000000000000−2i2i2i−2i00000000
χ444-4-444-44-400000000000000000000002i−2i−2i2i000000000000
χ454-4-444-44-40000000000000000000000−2i2i2i−2i000000000000
χ464-4-4-444-44-44-440000000000000000000000000000000000

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