Finite Group Databasebeta

← Group #24721

Character table — Group #24721

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444444444888822244488888888884488
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-111-1-11111-111-111-1-111-1-1-1-1-1-111-1-1
χ61111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ71111111111111-1-111-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111
χ81111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ9111111-1-11111-111-1-11111-1-1-111-1-1-1111-111-1-1-1-11-11-1
χ10111111-1-11111-111-1-11111-1-1-1-1-1-111-1-11-111-1-111-11-11
χ11111111-1-11111-111-1-111-1-111-111-1-1-111-11-1-111-1-1-11-11
χ12111111-1-11111-111-1-111-1-111-1-1-1-111-1-1-11-1-111111-11-1
χ13111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-111111-1-11
χ14111111-1-11111-1-1-1-1-1-1-111-1-11-1-1111111-1-1-111-1-1-111-1
χ15111111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-111-1
χ16111111-1-11111-1-1-1-1-1-1-1-1-1111-1-111111-1111-1-1-1-11-1-11
χ1722222222-2-2-2-2200-2-200000000000000002i−2i2i−2i000000
χ1822222222-2-2-2-2200-2-20000000000000000−2i2i−2i2i000000
χ19222222-2-2-2-2-2-2-2002200000000000000002i−2i−2i2i000000
χ20222222-2-2-2-2-2-2-200220000000000000000−2i2i2i−2i000000
χ212222-2-2222-2-22-2222-2-2-20000200-20000000000000000
χ222222-2-2222-2-22-2-2-22-2220000-20020000000000000000
χ232222-2-222-222-2-200-2200222200000000-2-20000000000
χ242222-2-222-222-2-200-2200-2-2-2-200000000220000000000
χ252222-2-2-2-22-2-22222-22-2-20000-20020000000000000000
χ262222-2-2-2-22-2-222-2-2-22220000200-20000000000000000
χ272222-2-2-2-2-222-22002-20022-2-200000000-220000000000
χ282222-2-2-2-2-222-22002-200-2-222000000002-20000000000
χ2922-2-22-200-22-2202i−2i002i−2i000000002i−2i000000002-20000
χ3022-2-22-200-22-2202i−2i002i−2i00000000−2i2i00000000-220000
χ3122-2-22-200-22-220−2i2i00−2i2i000000002i−2i00000000-220000
χ3222-2-22-200-22-220−2i2i00−2i2i00000000−2i2i000000002-20000
χ3322-2-2-2200-2-22202i−2i00−2i2i000002-20002i−2i000000000000
χ3422-2-2-2200-2-22202i−2i00−2i2i00000-22000−2i2i000000000000
χ3522-2-2-2200-2-2220−2i2i002i−2i000002-2000−2i2i000000000000
χ3622-2-2-2200-2-2220−2i2i002i−2i00000-220002i−2i000000000000
χ3744-4-44-4004-44-40000000000000000000000000000000
χ3844-4-4-440044-4-40000000000000000000000000000000
χ394-44-4004-4000000000002i2−2i22i2−2i200000000000000000000
χ404-44-4004-400000000000−2i22i2−2i22i200000000000000000000
χ414-44-400-44000000000002i2−2i2−2i22i200000000000000000000
χ424-44-400-4400000000000−2i22i22i2−2i200000000000000000000
χ438-8-88000000000000000000000000000000000000000

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