Finite Group Databasebeta

← Group #30365

Character table — Group #30365

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111111112222444444444444888888881616161616161616
order1222222244442244444444448888888824444444
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
χ2122-22-2-22-222-2-200002i−2i002i−2i00002-2002i−2i00000000
χ2222-22-2-22-222-2-200002i−2i002i−2i0000-2200−2i2i00000000
χ2322-22-2-22-222-2-20000−2i2i00−2i2i00002-200−2i2i00000000
χ2422-22-2-22-222-2-20000−2i2i00−2i2i0000-22002i−2i00000000
χ2522-22-2-22-2-2-22200002i−2i00−2i2i002i−2i002-20000000000
χ2622-22-2-22-2-2-22200002i−2i00−2i2i00−2i2i00-220000000000
χ2722-22-2-22-2-2-2220000−2i2i002i−2i002i−2i00-220000000000
χ2822-22-2-22-2-2-2220000−2i2i002i−2i00−2i2i002-20000000000
χ29444-4-44-4-400004-400000000000000000000000000
χ30444-4-44-4-40000-4400000000000000000000000000
χ3144-4-44-4-440000004i−4i000000000000000000000000
χ3244-4-44-4-44000000−4i4i000000000000000000000000
χ334-4444-4-4-44-44-40000000000000000000000000000
χ344-4444-4-4-4-44-440000000000000000000000000000
χ354-44-4-4-444000000000000004-40000000000000000
χ364-44-4-4-44400000000000000-440000000000000000
χ374-4-44-44-444-4-440000000000000000000000000000
χ384-4-44-44-44-444-40000000000000000000000000000
χ394-4-4-4444-400000000004-400000000000000000000
χ404-4-4-4444-40000000000-4400000000000000000000

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