Finite Group Databasebeta

← Group #9205

Character table — Group #9205

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1222222222444444442244444444888888882444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111-1-11-1-11111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011111-1-11-1-11111-1-1-1-11-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ1111111-1-11-1-11111-1-1-1-11-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211111-1-11-1-11111-1-1-1-11-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311111-1-11-1-111-1-111-1-1-11ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411111-1-11-1-111-1-111-1-1-11ii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511111-1-11-1-111-1-111-1-1-11−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611111-1-11-1-111-1-111-1-1-11−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-22222-2-2-2-200000000000000000000
χ182222222222-2-2-2-2-2-2-2-22200000000000000000000
χ1922222-2-22-2-2-2-222-2-222-2200000000000000000000
χ2022222-2-22-2-2-2-2-2-222222-200000000000000000000
χ212222-222-2-2-22-200002-20000002i−2i2i−2i000000000000
χ222222-222-2-2-22-200002-2000000−2i2i−2i2i000000000000
χ232222-222-2-2-2-220000-22002i−2i2i−2i0000000000000000
χ242222-222-2-2-2-220000-2200−2i2i−2i2i0000000000000000
χ252222-2-2-2-2222-20000-220000002-2-22000000000000
χ262222-2-2-2-2222-20000-22000000-222-2000000000000
χ272222-2-2-2-222-2200002-2002-2-220000000000000000
χ282222-2-2-2-222-2200002-200-222-20000000000000000
χ2922-2-222-2-22-2002i−2i2i−2i0000000000002−22−2i2−i2i2−i20000
χ3022-2-222-2-22-2002i−2i2i−2i000000000000−22−22−i2i2−i2i20000
χ3122-2-222-2-22-200−2i2i−2i2i0000000000002−22−2−i2i2−i2i20000
χ3222-2-222-2-22-200−2i2i−2i2i000000000000−22−22i2−i2i2−i20000
χ3322-2-22-22-2-22002i−2i−2i2i000000000000i2−i2−i2i2−222−20000
χ3422-2-22-22-2-22002i−2i−2i2i000000000000−i2i2i2−i22−2−220000
χ3522-2-22-22-2-2200−2i2i2i−2i000000000000i2−i2−i2i22−2−220000
χ3622-2-22-22-2-2200−2i2i2i−2i000000000000−i2i2i2−i2−222−20000
χ3744-4-4-44-44-44000000000000000000000000000000
χ3844-4-4-4-4444-4000000000000000000000000000000
χ398-88-8000000000000000000000000000000000000
χ408-8-88000000000000000000000000000000000000

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