Finite Group Databasebeta

← Group #23955

Character table — Group #23955

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222222244442444444222444444444444444888888
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ61111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111-1-1-1-111-1-11-11-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-111-1-11-11-1-1-111-1-1-1-111111111-1-1
χ91111-1-1111111-11111-1-111-1-11-1-1-11-111-1-111-1-111-1-11-1
χ101111-1-1111111-11111-1-111-1-11-1-1-11-1-1-111-1-111-1-111-11
χ111111-1-1111111-11111-1-1-1-11-1-1-111-1111-1-1-1-11111-1-1-11
χ121111-1-1111111-11111-1-1-1-11-1-1-111-11-1-11111-1-1-1-1111-1
χ131111-1-1111111-1-1-1-1-1-1-11111-11-1-1-1111-1-111-1-1-1-111-11
χ141111-1-1111111-1-1-1-1-1-1-11111-11-1-1-11-1-111-1-11111-1-11-1
χ151111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-1111-1
χ161111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-111-1-1-11
χ1722222222-2-2-2-220000-2-22-200002-20000000000000000
χ1822222222-2-2-2-220000-2-2-220000-220000000000000000
χ19222222-2-22-2-22-222-2-22-200020-2000000000000000000
χ20222222-2-22-2-22-2-2-2222-2000-202000000000000000000
χ21222222-2-2-222-2-20000-220020-20002-200000000000000
χ22222222-2-2-222-2-20000-2200-202000-2200000000000000
χ232222-2-222-2-2-2-2-20000222-20000-220000000000000000
χ242222-2-222-2-2-2-2-2000022-2200002-20000000000000000
χ252222-2-2-2-22-2-22222-2-2-22000-202000000000000000000
χ262222-2-2-2-22-2-222-2-222-2200020-2000000000000000000
χ272222-2-2-2-2-222-2200002-200202000-2-200000000000000
χ282222-2-2-2-2-222-2200002-200-20-20002200000000000000
χ292-2-22002-222-2-202i−2i2i−2i000000000000002-20000002i−2i00
χ302-2-22002-222-2-202i−2i2i−2i00000000000000-22000000−2i2i00
χ312-2-22002-222-2-20−2i2i−2i2i000000000000002-2000000−2i2i00
χ322-2-22002-222-2-20−2i2i−2i2i00000000000000-220000002i−2i00
χ332-2-2200-222-22-202i−2i−2i2i0000000000002-20000002i−2i0000
χ342-2-2200-222-22-202i−2i−2i2i000000000000-22000000−2i2i0000
χ352-2-2200-222-22-20−2i2i2i−2i0000000000002-2000000−2i2i0000
χ362-2-2200-222-22-20−2i2i2i−2i000000000000-220000002i−2i0000
χ374-44-44-40000000000000000000000000002i−2i2i−2i000000
χ384-44-44-4000000000000000000000000000−2i2i−2i2i000000
χ394-44-4-440000000000000000000000000002i−2i−2i2i000000
χ404-44-4-44000000000000000000000000000−2i2i2i−2i000000
χ414-4-44004-4-4-4440000000000000000000000000000000
χ424-4-4400-44-44-440000000000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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