Finite Group Databasebeta

← Group #25271

Character table — Group #25271

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444442248888888824444444888888884488
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ5111111111111111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ7111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1
χ9111111-1-11111-1-1-111-1-11111-11111-1-1-11-1-1-111-1-11-11-1
χ10111111-1-11111-1-1-111-1-11111-11-1-11-1111-1-1-1-1-111-11-11
χ11111111-1-11111-1-1-111-1-1-1-1-1-11-111-11-1-11-111-1-1111-1-11
χ12111111-1-11111-1-1-111-1-1-1-1-1-11-1-1-1-11111-11111-1-1-111-1
χ13111111-1-11111-1-1-1-1-11111111-111-11-1-1-11-1-111-1-1-11-11
χ14111111-1-11111-1-1-1-1-11111111-1-1-1-1111-11-1-1-1-1111-11-1
χ15111111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111-1-111-111-1
χ16111111-1-11111-1-1-1-1-111-1-1-1-1-11-1-11-111-111111-1-11-1-11
χ1722222222-2-2-2-2-2-2200002i2i−2i−2i00000000002i−2i00000000
χ1822222222-2-2-2-2-2-220000−2i−2i2i2i0000000000−2i2i00000000
χ19222222-2-2-2-2-2-222-200002i2i−2i−2i0000000000−2i2i00000000
χ20222222-2-2-2-2-2-222-20000−2i−2i2i2i00000000002i−2i00000000
χ212222-2-2222-22-22-2-2000000002200-2-200000000000000
χ222222-2-2222-22-22-2-200000000-2-2002200000000000000
χ232222-2-222-22-22-22-22222000000000000-2-20000000000
χ242222-2-222-22-22-22-2-2-2-2-2000000000000220000000000
χ252222-2-2-2-22-22-2-222000000002-2002-200000000000000
χ262222-2-2-2-22-22-2-22200000000-2200-2200000000000000
χ272222-2-2-2-2-22-222-2222-2-2000000000000-220000000000
χ282222-2-2-2-2-22-222-22-2-2220000000000002-20000000000
χ292-22-22-2002-2-2200000002-22-2002i−2i000000002i−2i000000
χ302-22-22-2002-2-2200000002-22-200−2i2i00000000−2i2i000000
χ312-22-22-2002-2-220000000-22-22002i−2i00000000−2i2i000000
χ322-22-22-2002-2-220000000-22-2200−2i2i000000002i−2i000000
χ332-22-22-200-222-200000002i−2i−2i2i0000002i−2i0000002-20000
χ342-22-22-200-222-200000002i−2i−2i2i000000−2i2i000000-220000
χ352-22-22-200-222-20000000−2i2i2i−2i0000002i−2i000000-220000
χ362-22-22-200-222-20000000−2i2i2i−2i000000−2i2i0000002-20000
χ374-44-4-440044-4-40000000000000000000000000000000
χ384-44-4-4400-4-4440000000000000000000000000000000
χ394-4-44004i−4i000000022−222i2−2i2000000000000000000000000
χ404-4-44004i−4i0000000−2222−2i22i2000000000000000000000000
χ414-4-4400−4i4i000000022−22−2i22i2000000000000000000000000
χ424-4-4400−4i4i0000000−22222i2−2i2000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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