Finite Group Databasebeta

← Group #8385

Character table — Group #8385

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444444444444422222244888888888888
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1
χ9111111-1-111-1-1111-1-11111-1-11-111-1-1-1-1ii−i−iii−i−ii−ii−i
χ10111111-1-111-1-1111-1-11111-1-11-111-1-1-1-1−i−iii−i−iii−ii−ii
χ11111111-1-111-1-1111-1-1-1-1-1-1-1-11-1-1-11111ii−i−iii−i−i−ii−ii
χ12111111-1-111-1-1111-1-1-1-1-1-1-1-11-1-1-11111−i−iii−i−iiii−ii−i
χ13111111-1-111-1-11-1-1111111-1-1-11-1-111-1-1ii−i−i−i−iiii−i−ii
χ14111111-1-111-1-11-1-1111111-1-1-11-1-111-1-1−i−iiiii−i−i−iii−i
χ15111111-1-111-1-11-1-111-1-1-1-1-1-1-1111-1-111ii−i−i−i−iii−iii−i
χ16111111-1-111-1-11-1-111-1-1-1-1-1-1-1111-1-111−i−iiiii−i−ii−i−ii
χ1722222222-2-222-222220000-2-2-2-2000000000000000000
χ1822222222-2-222-2-2-2-2-20000-2-222000000000000000000
χ19222222-2-2-2-2-2-2-222-2-2000022-22000000000000000000
χ20222222-2-2-2-2-2-2-2-2-2220000222-2000000000000000000
χ212222-2-22-2222-2-2000022-2-22-20000002-2000000000000
χ222222-2-22-2222-2-20000-2-2222-2000000-22000000000000
χ232222-2-22-2-2-22-2200000000-22002-22-200000000000000
χ242222-2-22-2-2-22-2200000000-2200-22-2200000000000000
χ252222-2-2-2222-22-2000022-2-2-22000000-22000000000000
χ262222-2-2-2222-22-20000-2-222-220000002-2000000000000
χ272222-2-2-22-2-2-222000000002-2002-2-2200000000000000
χ282222-2-2-22-2-2-222000000002-200-222-200000000000000
χ2922-2-22-22-200-2202i−2i2i−2i000000000000002−22−2i2−i2i2−i20000
χ3022-2-22-22-200-2202i−2i2i−2i00000000000000−22−22−i2i2−i2i20000
χ3122-2-22-22-200-220−2i2i−2i2i000000000000002−22−2−i2i2−i2i20000
χ3222-2-22-22-200-220−2i2i−2i2i00000000000000−22−22i2−i2i2−i20000
χ3322-2-22-2-22002-202i−2i−2i2i00000000000000i2−i2−i2i2−222−20000
χ3422-2-22-2-22002-202i−2i−2i2i00000000000000−i2i2i2−i22−2−220000
χ3522-2-22-2-22002-20−2i2i2i−2i00000000000000i2−i2−i2i22−2−220000
χ3622-2-22-2-22002-20−2i2i2i−2i00000000000000−i2i2i2−i2−222−20000
χ3744-4-4-444400-4-40000000000000000000000000000000
χ3844-4-4-44-4-400440000000000000000000000000000000
χ394-4-4400004-40000000004-40000000000000000000000
χ404-4-4400004-4000000000-440000000000000000000000
χ414-4-440000-4400000004-4000000000000000000000000
χ424-4-440000-440000000-44000000000000000000000000
χ438-88-8000000000000000000000000000000000000000

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