Finite Group Databasebeta

← Group #30201

Character table — Group #30201

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111111112222444444444444888888881616161616161616
order1222222244442244444444448888888822444444
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1
χ9111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-1-1-11
χ10111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-11111-1
χ11111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-11-1-11-1
χ12111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11-111-11
χ13111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-111-11-1-1
χ14111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-11-111
χ15111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1111
χ16111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11111-1-1-1
χ1722222222-2-2-2-222-2-222-2-222-2-20000000000000000
χ1822222222-2-2-2-222-2-2-2-222-2-2220000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-2220000000000000000
χ2022222222-2-2-2-2-2-222-2-22222-2-20000000000000000
χ21222-2-22-2-22-22-22-22-20000000000002i−2i2i−2i00000000
χ22222-2-22-2-22-22-22-22-2000000000000−2i2i−2i2i00000000
χ23222-2-22-2-22-22-2-22-220000000000002i−2i−2i2i00000000
χ24222-2-22-2-22-22-2-22-22000000000000−2i2i2i−2i00000000
χ25222-2-22-2-2-22-222-2-22000000002i−2i2i−2i000000000000
χ26222-2-22-2-2-22-222-2-2200000000−2i2i−2i2i000000000000
χ27222-2-22-2-2-22-22-222-2000000002i−2i−2i2i000000000000
χ28222-2-22-2-2-22-22-222-200000000−2i2i2i−2i000000000000
χ2944-44-4-44-4000000000000004i−4i0000000000000000
χ3044-44-4-44-400000000000000−4i4i0000000000000000
χ3144-4-44-4-440000000000004i−4i000000000000000000
χ3244-4-44-4-44000000000000−4i4i000000000000000000
χ334-4444-4-4-444-4-40000000000000000000000000000
χ344-4444-4-4-4-4-4440000000000000000000000000000
χ354-44-4-4-4444-4-440000000000000000000000000000
χ364-44-4-4-444-444-40000000000000000000000000000
χ374-4-44-44-4400000000004-400000000000000000000
χ384-4-44-44-440000000000-4400000000000000000000
χ394-4-4-4444-4000000004-40000000000000000000000
χ404-4-4-4444-400000000-440000000000000000000000

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