Finite Group Databasebeta

← Group #266425

Character table — Group #266425

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1111-1-1-111-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11-1-1-1-1-11111
χ51111111111111111111111111-1-111-1-1111111111111111111-11-1-1-1-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1111111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
χ91111111111111111-1-1-1-11-1-11-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-111-1-1
χ101111111111111111-1-1-1-11-1-11-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-111
χ111111111111111111-1-1-1-11-1-11-111-1-111111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-11-1-11-111-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-11-1-11-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111
χ141111111111111111-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1111111-1-1-1-111-1-1
χ151111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1111111-1-1
χ161111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111-111-1-1-1-111
χ172222222222-2-222-2-22222-2-2-2-2-20022002200000000000000000-200000-200000000
χ182222222222-2-222-2-22222-2-2-2-2-200-2-200-2-200000000000000000200000200000000
χ192222222222-2-222-2-2-2-2-2-2-222-22002200-2-200000000000000000200000-200000000
χ202222222222-2-222-2-2-2-2-2-2-222-2200-2-2002200000000000000000-200000200000000
χ2122222222-2-222-2-22222-2-2-222-2-22200-2-2000000000000000000200000-2000000000
χ2222222222-2-222-2-22222-2-2-222-2-2-2-20022000000000000000000-2000002000000000
χ2322222222-2-222-2-222-2-222-2-2-2-222200-2-2000000000000000000-2000002000000000
χ2422222222-2-222-2-222-2-222-2-2-2-22-2-20022000000000000000000200000-2000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-2-222000000000000000000000000002-200002-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-22-2-22200000000000000000000000000-220000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000002-20000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000000000-2200002-2000000
χ29222-2-2-22-2222-2-2-22-20000200-202-2002-20022-2-200000000000000002-20000000000
χ30222-2-2-22-2222-2-2-22-20000200-202-2002-200-2-2220000000000000000-220000000000
χ31222-2-2-22-2222-2-2-22-20000200-20-2200-220022-2-20000000000000000-220000000000
χ32222-2-2-22-2222-2-2-22-20000200-20-2200-2200-2-22200000000000000002-20000000000
χ33222-2-2-22-2-2-22-2222-20000-200202-200-220000002i2i−2i−2i0000000000000000002i−2i0000
χ34222-2-2-22-2-2-22-2222-20000-200202-200-22000000−2i−2i2i2i000000000000000000−2i2i0000
χ35222-2-2-22-2-2-22-2222-20000-20020-22002-20000002i2i−2i−2i000000000000000000−2i2i0000
χ36222-2-2-22-2-2-22-2222-20000-20020-22002-2000000−2i−2i2i2i0000000000000000002i−2i0000
χ3722-22-2-2-222-2002-2002i−2i2i−2i00000002i−2i002-22−22−2i2−i2i2−i2i2i2−i2−i222−2−20000000000000000
χ3822-22-2-2-222-2002-2002i−2i2i−2i00000002i−2i002-2−22−22−i2i2−i2i2−i2−i2i2i2−2−2220000000000000000
χ3922-22-2-2-222-2002-2002i−2i2i−2i0000000−2i2i00-222−22−2i2−i2i2−i2−i2−i2i2i2−2−2220000000000000000
χ4022-22-2-2-222-2002-2002i−2i2i−2i0000000−2i2i00-22−22−22−i2i2−i2i2i2i2−i2−i222−2−20000000000000000
χ4122-22-2-2-222-2002-200−2i2i−2i2i00000002i−2i00-222−22−2−i2i2−i2i2i2i2−i2−i2−2−2220000000000000000
χ4222-22-2-2-222-2002-200−2i2i−2i2i00000002i−2i00-22−22−22i2−i2i2−i2−i2−i2i2i222−2−20000000000000000
χ4322-22-2-2-222-2002-200−2i2i−2i2i0000000−2i2i002-22−22−2−i2i2−i2i2−i2−i2i2i222−2−20000000000000000
χ4422-22-2-2-222-2002-200−2i2i−2i2i0000000−2i2i002-2−22−22i2−i2i2−i2i2i2−i2−i2−2−2220000000000000000
χ45444-4-4-44-444-44-4-4-440000-400400000000000000000000000000000000000000000
χ46444-4-4-44-4-4-4-4444-440000400-400000000000000000000000000000000000000000
χ4744-44-4-4-44-4400-44004i−4i−4i4i000000000000000000000000000000000000000000000
χ4844-44-4-4-44-4400-4400−4i4i4i−4i000000000000000000000000000000000000000000000
χ4944-4-444-4-44-400-44000000000000000000022−22−22220000000000000000000000000000
χ5044-4-444-4-44-400-440000000000000000000−222222−220000000000000000000000000000
χ5144-4-444-4-4-44004-40000000000000000000000022−22−2222000000000000000000000000
χ5244-4-444-4-4-44004-400000000000000000000000−222222−22000000000000000000000000
χ534-4444-4-4-4004-400-4400000000000000000000000000000000000000000000022−2200
χ544-4444-4-4-4004-400-44000000000000000000000000000000000000000000000−222200
χ554-4444-4-4-400-44004-40000000000000000000000000000000000000000000000022−22
χ564-4444-4-4-400-44004-400000000000000000000000000000000000000000000000−2222
χ574-44-4-44-44004400-4-400000000000000000000000002i2−2i22i2−2i200000000000000000000
χ584-44-4-44-44004400-4-40000000000000000000000000−2i22i2−2i22i200000000000000000000
χ594-44-4-44-4400-4-400440000000000000000000000000000022−2222−220000000000000000
χ604-44-4-44-4400-4-4004400000000000000000000000000000−2222−22220000000000000000
χ614-4-4-44-44400000000000004-40000000000000000002-2-222-2-220000000000000000
χ624-4-4-44-44400000000000004-4000000000000000000-222-2-222-20000000000000000
χ634-4-4-44-4440000000000000-440000000000000000002-2-22-222-20000000000000000
χ644-4-4-44-4440000000000000-44000000000000000000-222-22-2-220000000000000000
χ658-8-88-888-8000000000000000000000000000000000000000000000000000000000

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