Finite Group Databasebeta

← Group #25873

Character table — Group #25873

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444444444444222244444444448888888844
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ9111111-1-11111-1-1-111111-11-1-1-11-11-111-1-111-1-111-1-11-1
χ10111111-1-11111-1-1-111111-11-1-1-11-11-1-1-111-1-111-1-111-11
χ11111111-1-11111-1-1-11111-11-11-1-1-11-1111-1-1-1-111-1-1111-1
χ12111111-1-11111-1-1-11111-11-11-1-1-11-11-1-11111-1-111-1-1-11
χ13111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1111-1-111-1-1-1-111-11
χ14111111-1-11111-1-1-1-1-1-1-11-1-11111-1-11-1-111-1-11111-1-11-1
χ15111111-1-11111-1-1-1-1-1-1-1-111-111-111-111-1-1-1-11111-1-1-11
χ16111111-1-11111-1-1-1-1-1-1-1-111-111-111-1-1-11111-1-1-1-1111-1
χ1722222222-2-2-2-22-2-222-2-200002-2000000000000000000
χ1822222222-2-2-2-22-2-2-2-2220000-22000000000000000000
χ19222222-2-2-2-2-2-2-22222-2-20000-22000000000000000000
χ20222222-2-2-2-2-2-2-222-2-22200002-2000000000000000000
χ212222-2-22222-2-2-22-20000002-20000-2200000000000000
χ222222-2-22222-2-2-22-2000000-2200002-200000000000000
χ232222-2-222-2-222-2-2200002-20000-220000000000000000
χ242222-2-222-2-222-2-220000-2200002-20000000000000000
χ252222-2-2-2-222-2-22-22000000220000-2-200000000000000
χ262222-2-2-2-222-2-22-22000000-2-200002200000000000000
χ272222-2-2-2-2-2-22222-20000220000-2-20000000000000000
χ282222-2-2-2-2-2-22222-20000-2-20000220000000000000000
χ292-2-222-2002-22-20002-22-200000000000000002i−2i002i−2i00
χ302-2-222-2002-22-20002-22-20000000000000000−2i2i00−2i2i00
χ312-2-222-2002-22-2000-22-2200000000000000002i−2i00−2i2i00
χ322-2-222-2002-22-2000-22-220000000000000000−2i2i002i−2i00
χ332-2-222-200-22-220002-2-22000000000000002i−2i002i−2i0000
χ342-2-222-200-22-220002-2-2200000000000000−2i2i00−2i2i0000
χ352-2-222-200-22-22000-222-2000000000000002i−2i00−2i2i0000
χ362-2-222-200-22-22000-222-200000000000000−2i2i002i−2i0000
χ374-44-4004i−4i0000000000000000000002-22i−2i0000000000
χ384-44-4004i−4i000000000000000000000-22−2i2i0000000000
χ394-44-400−4i4i0000000000000000000002-2−2i2i0000000000
χ404-44-400−4i4i000000000000000000000-222i−2i0000000000
χ414-4-44-44004-4-440000000000000000000000000000000
χ424-4-44-4400-444-40000000000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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