Finite Group Databasebeta

← Group #13261

Character table — Group #13261

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order122222444488888888444488884444888816161616161616162222
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
χ5111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-1-11-111-11111-1-1-1-111-1-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011-1-1-11-111-11111-1-1-1-111-1-11-11-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ1111-1-1-11-111-11111-1-1-1-111-1-11-11-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211-1-1-11-111-11111-1-1-1-111-1-11-11-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311-1-1-11-111-111-1-111-1-1-1-1111-1-11ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411-1-1-11-111-111-1-111-1-1-1-1111-1-11ii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511-1-1-11-111-111-1-111-1-1-1-1111-1-11−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611-1-1-11-111-111-1-111-1-1-1-1111-1-11−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-22222-2-2-2-2-2-2-2-22200000000000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000
χ192222-2-222-2-2220000220000-2-2002-22-20000000000000000
χ202222-2-222-2-2220000220000-2-200-22-220000000000000000
χ212222-2-222-2-2-2-20000-2-20000220000002i−2i2i−2i000000000000
χ222222-2-222-2-2-2-20000-2-2000022000000−2i2i−2i2i000000000000
χ232222-2-2-2-22200222200000000-2-2000000002−22−22−22−20000
χ242222-2-2-2-22200222200000000-2-200000000−22−22−22−220000
χ252222-2-2-2-22200-2-2-2-20000000022000000002−22−2−22−220000
χ262222-2-2-2-22200-2-2-2-2000000002200000000−22−222−22−20000
χ2722-2-22-22-22-20022-2-200000000-2200000000i2−i2−i2i2i2−i2−i2i20000
χ2822-2-22-22-22-20022-2-200000000-2200000000−i2i2i2−i2−i2i2i2−i20000
χ2922-2-22-22-22-200-2-222000000002-200000000i2−i2−i2i2−i2i2i2−i20000
χ3022-2-22-22-22-200-2-222000000002-200000000−i2i2i2−i2i2−i2−i2i20000
χ3122-2-22-2-22-22220000-2-20000-22002i−2i−2i2i0000000000000000
χ3222-2-22-2-22-22220000-2-20000-2200−2i2i2i−2i0000000000000000
χ3322-2-22-2-22-22-2-200002200002-20000002-2-22000000000000
χ3422-2-22-2-22-22-2-200002200002-2000000-222-2000000000000
χ3522-2-2-22-222-2-2-222-2-222-2-222-222-200000000000000000000
χ3622-2-2-22-222-2-2-2-2-2222222-2-2-22-2200000000000000000000
χ37444444-4-4-4-4000000000000000000000000000000000000
χ3844-4-4-444-4-44000000000000000000000000000000000000
χ394-44-400000022−2222−2222−2222−222-22-2000000000000000000000000
χ404-44-400000022−22−2222−222222−22-22-22000000000000000000000000
χ414-44-4000000−222222−2222−22−2222-22-22000000000000000000000000
χ424-44-4000000−2222−2222−2222−22222-22-2000000000000000000000000
χ434-4-4400000022−2222−22−2222−22222-2-22000000000000000000000000
χ444-4-4400000022−22−222222−22−2222-222-2000000000000000000000000
χ454-4-44000000−222222−22−222222−22-222-2000000000000000000000000
χ464-4-44000000−2222−222222−2222−222-2-22000000000000000000000000

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