Finite Group Databasebeta

← Group #32807

Character table — Group #32807

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111111112222444444444444888888881616161616161616
order1222222244444444444444448888888822444444
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1
χ9111111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-11-11
χ11111111111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-11-11
χ12111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1111-11-1
χ13111111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11
χ14111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-111-1
χ15111111111111-1-1-1-1-1-111-1-111-1-11111-1-11-1-11-111-1
χ16111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-111-11-1-11
χ1722222222-2-2-2-222-2-22222-2-2-2-20000000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-222220000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-2220000000000000000
χ2022222222-2-2-2-2-2-222-2-22222-2-20000000000000000
χ21222-2-22-2-20000002-2002-22-200i2−i2i2−i2i2−i2i2−i200000000
χ22222-2-22-2-20000002-2002-22-200−i2i2−i2i2−i2i2−i2i200000000
χ23222-2-22-2-20000002-200-22-2200i2−i2i2−i2−i2i2−i2i200000000
χ24222-2-22-2-20000002-200-22-2200−i2i2−i2i2i2−i2i2−i200000000
χ25222-2-22-2-2000000-22002-2-2200i2−i2−i2i2−i2i2i2−i200000000
χ26222-2-22-2-2000000-22002-2-2200−i2i2i2−i2i2−i2−i2i200000000
χ27222-2-22-2-2000000-2200-222-200i2−i2−i2i2i2−i2−i2i200000000
χ28222-2-22-2-2000000-2200-222-200−i2i2i2−i2−i2i2i2−i200000000
χ2944-444-4-4-4000000004-40000000000000000000000
χ3044-444-4-4-400000000-440000000000000000000000
χ3144-4-4-4-4444-44-40000000000000000000000000000
χ3244-4-4-4-444-44-440000000000000000000000000000
χ334-444-4-44-400004i−4i00000000000000000000000000
χ344-444-4-44-40000−4i4i00000000000000000000000000
χ354-44-44-4-4444-4-40000000000000000000000000000
χ364-44-44-4-44-4-4440000000000000000000000000000
χ374-4-44-44-444-4-440000000000000000000000000000
χ384-4-44-44-44-444-40000000000000000000000000000
χ394-4-4-4444-4000000000000004-40000000000000000
χ404-4-4-4444-400000000000000-440000000000000000

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