Finite Group Databasebeta

← Group #305584

Character table — Group #305584

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1111111-1-1-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-11111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-11111-1-111-1
χ172222222222-2-222-2-2-20000-222220022-2-200-2-2-2-2000000000000000020000000000
χ182222222222-2-222-2-2-20000-2222200-2-2220022-2-20000000000000000-20000000000
χ192222222222-2-222-2-2-20000-2-2-2-2-200222200-2-2220000000000000000-20000000000
χ202222222222-2-222-2-2-20000-2-2-2-2-200-2-2-2-2002222000000000000000020000000000
χ2122222222-2-222-2-222-22222-20000-2-20000220000000022-2-2000000000-2000000000
χ2222222222-2-222-2-222-22222-20000-2-20000-2-200000000-2-2220000000002000000000
χ2322222222-2-222-2-222-2-2-2-2-2-200002200002200000000-2-222000000000-2000000000
χ2422222222-2-222-2-222-2-2-2-2-2-20000220000-2-20000000022-2-20000000002000000000
χ25222-2-22-2-22222-2-2-2-2222-2-2-200002-22-200002-2000000000000002-20000000000000
χ26222-2-22-2-22222-2-2-2-2222-2-2-200002-2-220000-2200000000000000-220000000000000
χ27222-2-22-2-22222-2-2-2-22-2-222-20000-222-200002-200000000000000-220000000000000
χ28222-2-22-2-22222-2-2-2-22-2-222-20000-22-220000-22000000000000002-20000000000000
χ29222-2-22-2-222-2-2-2-222-2000020000002-20000-22002i2i−2i−2i00000000002i−2i00000000000
χ30222-2-22-2-222-2-2-2-222-2000020000002-20000-2200−2i−2i2i2i0000000000−2i2i00000000000
χ31222-2-22-2-222-2-2-2-222-200002000000-2200002-2002i2i−2i−2i0000000000−2i2i00000000000
χ32222-2-22-2-222-2-2-2-222-200002000000-2200002-200−2i−2i2i2i00000000002i−2i00000000000
χ33222-2-22-2-2-2-22222-2-2-222-2-220000-2200000000000000000000000000002i−2i002i−2i000
χ34222-2-22-2-2-2-22222-2-2-222-2-220000-220000000000000000000000000000−2i2i00−2i2i000
χ35222-2-22-2-2-2-22222-2-2-2-2-222200002-200000000000000000000000000002i−2i00−2i2i000
χ36222-2-22-2-2-2-22222-2-2-2-2-222200002-20000000000000000000000000000−2i2i002i−2i000
χ3722-22-2-22-2002-2002-202i−2i2i−2i0i2i2−i2−i20000002-200i2−i22−22−22i−2i0022−2−200000000i2−i200000
χ3822-22-2-22-2002-2002-202i−2i2i−2i0i2i2−i2−i2000000-2200i2−i22−22−2−2i2i00−2−22200000000−i2i200000
χ3922-22-2-22-2002-2002-202i−2i2i−2i0−i2−i2i2i20000002-200−i2i2−22−222i−2i00−2−22200000000−i2i200000
χ4022-22-2-22-2002-2002-202i−2i2i−2i0−i2−i2i2i2000000-2200−i2i2−22−22−2i2i0022−2−200000000i2−i200000
χ4122-22-2-22-2002-2002-20−2i2i−2i2i0i2i2−i2−i20000002-200i2−i2−22−22−2i2i00−2−22200000000i2−i200000
χ4222-22-2-22-2002-2002-20−2i2i−2i2i0i2i2−i2−i2000000-2200i2−i2−22−222i−2i0022−2−200000000−i2i200000
χ4322-22-2-22-2002-2002-20−2i2i−2i2i0−i2−i2i2i20000002-200−i2i22−22−2−2i2i0022−2−200000000−i2i200000
χ4422-22-2-22-2002-2002-20−2i2i−2i2i0−i2−i2i2i2000000-2200−i2i22−22−22i−2i00−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-4-4-4-4-4444440000-40000000000000000000000000000000000000000000
χ4744-44-4-44-400-4400-440000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ4844-44-4-44-400-4400-44000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4944-4-44-4-44004-400-4404i−4i−4i4i00000000000000000000000000000000000000000000
χ5044-4-44-4-44004-400-440−4i4i4i−4i00000000000000000000000000000000000000000000
χ5144-4-44-4-4400-44004-400000000000000000000002i2−2i2−2i22i200000000000000000000000
χ5244-4-44-4-4400-44004-40000000000000000000000−2i22i22i2−2i200000000000000000000000
χ534-444-4-4-444-4004-4000000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ544-444-4-4-444-4004-400000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ554-444-4-4-44-4400-44000000004i−4i4i−4i000000000000000000000000000000000000000
χ564-444-4-4-44-4400-4400000000−4i4i−4i4i000000000000000000000000000000000000000
χ574-44-44-44-44-400-440000000000000000000000000000000000000000000000002i2−2i20
χ584-44-44-44-44-400-44000000000000000000000000000000000000000000000000−2i22i20
χ594-44-44-44-4-44004-400000000000000004i−4i000000000000000000000000000000000
χ604-44-44-44-4-44004-40000000000000000−4i4i000000000000000000000000000000000
χ614-4-4444-4-40000000000000022−22−22220000000000000000002i2−2i22i−2i−2i2i000000000000000
χ624-4-4444-4-40000000000000022−22−2222000000000000000000−2i22i2−2i2i2i−2i000000000000000
χ634-4-4444-4-400000000000000−222222−220000000000000000002i2−2i2−2i2i2i−2i000000000000000
χ644-4-4444-4-400000000000000−222222−22000000000000000000−2i22i22i−2i−2i2i000000000000000
χ658-8-8-8-8888000000000000000000000000000000000000000000000000000000000

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