Finite Group Databasebeta

← Group #283221

Character table — Group #283221

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888222244448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-11-1-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ71111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-111111-1-111-1
χ17222222222-2-222-2-22-22222-20000-2-20000220022-2-200000000000000-20000000000
χ18222222222-2-222-2-22-22222-20000-2-20000-2-200-2-2220000000000000020000000000
χ19222222222-2-222-2-22-2-2-2-2-2-200002200002200-2-22200000000000000-20000000000
χ20222222222-2-222-2-22-2-2-2-2-2-20000220000-2-20022-2-20000000000000020000000000
χ2122222222-222-2-222-2-20000-222220022-2-200220000-2-20000000000000-2000000000
χ2222222222-222-2-222-2-20000-2222200-2-22200-2-20000-2-200000000000002000000000
χ2322222222-222-2-222-2-20000-2-2-2-2-20022-2-200-2-200002200000000000002000000000
χ2422222222-222-2-222-2-20000-2-2-2-2-200-2-22200220000220000000000000-2000000000
χ25222-2-22-2-22002-200-202i2i−2i−2i022−2−20000002i−2i002-2002−2i2i2−i2−i222−2−200000000i2−i200000
χ26222-2-22-2-22002-200-202i2i−2i−2i022−2−2000000−2i2i00-22002−2i2i2−i2−i2−2−22200000000−i2i200000
χ27222-2-22-2-22002-200-202i2i−2i−2i0−2−2220000002i−2i002-200−22−i2−i2i2i2−2−22200000000−i2i200000
χ28222-2-22-2-22002-200-202i2i−2i−2i0−2−222000000−2i2i00-2200−22−i2−i2i2i222−2−200000000i2−i200000
χ29222-2-22-2-22002-200-20−2i−2i2i2i022−2−20000002i−2i00-22002−2−i2−i2i2i2−2−22200000000i2−i200000
χ30222-2-22-2-22002-200-20−2i−2i2i2i022−2−2000000−2i2i002-2002−2−i2−i2i2i222−2−200000000−i2i200000
χ31222-2-22-2-22002-200-20−2i−2i2i2i0−2−2220000002i−2i00-2200−22i2i2−i2−i222−2−200000000−i2i200000
χ32222-2-22-2-22002-200-20−2i−2i2i2i0−2−222000000−2i2i002-200−22i2i2−i2−i2−2−22200000000i2−i200000
χ3322-2-22-2-22222-2-2-2-2222-22-2-200002-22i−2i2i−2i0000000000000000000000002i−2i0000000
χ3422-2-22-2-22222-2-2-2-2222-22-2-200002-2−2i2i−2i2i000000000000000000000000−2i2i0000000
χ3522-2-22-2-22222-2-2-2-222-22-22-20000-222i−2i2i−2i000000000000000000000000−2i2i0000000
χ3622-2-22-2-22222-2-2-2-222-22-22-20000-22−2i2i−2i2i0000000000000000000000002i−2i0000000
χ3722-2-22-2-222-2-2-2-2222-22-22-220000-220000000000000000000000002-20000002-2000
χ3822-2-22-2-222-2-2-2-2222-22-22-220000-22000000000000000000000000-22000000-22000
χ3922-2-22-2-222-2-2-2-2222-2-22-22200002-20000000000000000000000002-2000000-22000
χ4022-2-22-2-222-2-2-2-2222-2-22-22200002-2000000000000000000000000-220000002-2000
χ4122-2-22-2-22-22222-2-2-2-2000020000002i−2i−2i2i00000000002i−2i2i−2i00002-20000000000000
χ4222-2-22-2-22-22222-2-2-2-2000020000002i−2i−2i2i0000000000−2i2i−2i2i0000-220000000000000
χ4322-2-22-2-22-22222-2-2-2-200002000000−2i2i2i−2i00000000002i−2i2i−2i0000-220000000000000
χ4422-2-22-2-22-22222-2-2-2-200002000000−2i2i2i−2i0000000000−2i2i−2i2i00002-20000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-4-400-440040000002222−22−2200000000000000−222200000000000000000000000
χ47444-4-44-4-4-400-44004000000−22−2222220000000000000022−2200000000000000000000000
χ4844-44-4-44-4400-4400-404i−4i−4i4i00000000000000000000000000000000000000000000
χ4944-44-4-44-4400-4400-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ5044-44-4-44-4-4004-40040000000000000000000000000022−22−22220000000000000000000
χ5144-44-4-44-4-4004-400400000000000000000000000000−222222−220000000000000000000
χ5244-4-44-4-44-4-4-44444-440000-40000000000000000000000000000000000000000000
χ534-44-4-4-44404-4004-40000000000000000000000000000000000000000000000022−220
χ544-44-4-4-44404-4004-400000000000000000000000000000000000000000000000−22220
χ554-44-4-4-4440-4400-4400000000000000000004-400000000000000000000000000000
χ564-44-4-4-4440-4400-440000000000000000000-4400000000000000000000000000000
χ574-4-44-44-4404-400-44000000000000000000000000000000022−2222−22000000000000000
χ584-4-44-44-4404-400-440000000000000000000000000000000−2222−2222000000000000000
χ594-4-44-44-440-44004-400000004-44-4000000000000000000000000000000000000000
χ604-4-44-44-440-44004-40000000-44-44000000000000000000000000000000000000000
χ614-4-4-4444-40000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ624-4-4-4444-40000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ634-4-4-4444-400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ644-4-4-4444-400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ658-8888-8-8-8000000000000000000000000000000000000000000000000000000000

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