Finite Group Databasebeta

← Group #9705

Character table — Group #9705

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444488888888888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-222-2-2-2-222-2-222-2-200000000000000000000
χ182222222222-2-222-2-2-2-2-2-222-2-22200000000000000000000
χ1922222222-2-222-2-222-2-222-2-2-2-22200000000000000000000
χ2022222222-2-222-2-222-2-2-2-22222-2-200000000000000000000
χ21222-2-2-2-22002200-2-200002-22-200i2−i2i2−i2i2−i2i2−i2000000000000
χ22222-2-2-2-22002200-2-200002-22-200−i2i2−i2i2−i2i2−i2i2000000000000
χ23222-2-2-2-22002200-2-20000-22-2200i2−i2i2−i2−i2i2−i2i2000000000000
χ24222-2-2-2-22002200-2-20000-22-2200−i2i2−i2i2i2−i2i2−i2000000000000
χ25222-2-2-2-2200-2-2002200002-2-22002−2−222−2−22000000000000
χ26222-2-2-2-2200-2-2002200002-2-2200−222−2−222−2000000000000
χ27222-2-2-2-2200-2-200220000-222-2002−2−22−222−2000000000000
χ28222-2-2-2-2200-2-200220000-222-200−222−22−2−22000000000000
χ292-2-222-2-22222-2-2-22-22-2000000000000000000002i−2i2i−2i0000
χ302-2-222-2-22222-2-2-22-22-200000000000000000000−2i2i−2i2i0000
χ312-2-222-2-2222-22-2-2-22-2200000000000000002i−2i2i−2i00000000
χ322-2-222-2-2222-22-2-2-22-220000000000000000−2i2i−2i2i00000000
χ332-2-222-2-22-2-22-2222-2-2200000000000000002-2-2200000000
χ342-2-222-2-22-2-22-2222-2-220000000000000000-222-200000000
χ352-2-222-2-22-2-2-2222-222-2000000000000000000002-2-220000
χ362-2-222-2-22-2-2-2222-222-200000000000000000000-222-20000
χ3744-44-44-4-400000000000000004-400000000000000000000
χ3844-44-44-4-40000000000000000-4400000000000000000000
χ3944-4-44-44-44-4004-400000000000000000000000000000000
χ4044-4-44-44-4-4400-4400000000000000000000000000000000
χ414-444-4-44-400000000004-400000000000000000000000000
χ424-444-4-44-40000000000-4400000000000000000000000000
χ434-44-444-4-44-400-4400000000000000000000000000000000
χ444-44-444-4-4-44004-400000000000000000000000000000000
χ454-4-4-4-4444004-400-44000000000000000000000000000000
χ464-4-4-4-444400-44004-4000000000000000000000000000000

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