Finite Group Databasebeta

← Group #288133

Character table — Group #288133

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1111-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-11111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-111-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-11-1-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-111-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11111-1-11-1-111-1-1-11
χ17222222222-2-2222-2-20000-2-222222222000000-2-200000000-2-200000000000000
χ18222222222-2-2222-2-20000-2-22222-2-2-2-2000000-2-2000000002200000000000000
χ19222222222-2-2222-2-20000-2-2-2-2-2-222-2-20000002200000000-2200000000000000
χ20222222222-2-2222-2-20000-2-2-2-2-2-2-2-22200000022000000002-200000000000000
χ2122222222-222-2-2-2222222-2-200000000-2-200000022-2-200000020000-200000000
χ2222222222-222-2-2-2222222-2-200000000-2-2000000-2-222000000-20000200000000
χ2322222222-222-2-2-222-2-2-2-2-2-2000000002200000022-2-2000000-20000200000000
χ2422222222-222-2-2-222-2-2-2-2-2-20000000022000000-2-22200000020000-200000000
χ25222-22-2-2-22002-2-20000000022-2-22-22-2000000002−22−222−2−200000000002−22−200
χ26222-22-2-2-22002-2-20000000022-2-22-22-200000000−22−22−2−2220000000000−22−2200
χ27222-22-2-2-22002-2-20000000022-2-2-22-22000000002−22−222−2−20000000000−22−2200
χ28222-22-2-2-22002-2-20000000022-2-2-22-2200000000−22−22−2−22200000000002−22−200
χ29222-22-2-2-22002-2-200000000-2-2222-2-22000000002−22−2−2−22200000000002−2−2200
χ30222-22-2-2-22002-2-200000000-2-2222-2-2200000000−22−2222−2−20000000000−222−200
χ31222-22-2-2-22002-2-200000000-2-222-222-2000000002−22−2−2−2220000000000−222−200
χ32222-22-2-2-22002-2-200000000-2-222-222-200000000−22−2222−2−200000000002−2−2200
χ332-22-2-2-222222-22-2-2-22i2i−2i−2i-22000000002i−2i00000000002-22-2000000002i−2i000000
χ342-22-2-2-222222-22-2-2-22i2i−2i−2i-22000000002i−2i0000000000-22-2200000000−2i2i000000
χ352-22-2-2-222222-22-2-2-2−2i−2i2i2i-2200000000−2i2i00000000002-22-200000000−2i2i000000
χ362-22-2-2-222222-22-2-2-2−2i−2i2i2i-2200000000−2i2i0000000000-22-22000000002i−2i000000
χ372-22-2-2-222-2222-22-2-22i2i−2i−2i2-22-22-20000−2i2i2i2i−2i−2i2-2000000000000000000000000
χ382-22-2-2-222-2222-22-2-22i2i−2i−2i2-2-22-220000−2i2i−2i−2i2i2i-22000000000000000000000000
χ392-22-2-2-222-2222-22-2-2−2i−2i2i2i2-22-22-200002i−2i−2i−2i2i2i2-2000000000000000000000000
χ402-22-2-2-222-2222-22-2-2−2i−2i2i2i2-2-22-2200002i−2i2i2i−2i−2i-22000000000000000000000000
χ412-22-2-2-222-2-2-22-22220000-222-22-20000000000-22000000000002-22-2000000000
χ422-22-2-2-222-2-2-22-22220000-222-22-20000000000-2200000000000-22-22000000000
χ432-22-2-2-222-2-2-22-22220000-22-22-2200000000002-2000000000002-2-22000000000
χ442-22-2-2-222-2-2-22-22220000-22-22-2200000000002-200000000000-222-2000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-44-4-4-4-400-44400000000000000000000000022−22−222200000000000000000000
χ47444-44-4-4-4-400-444000000000000000000000000−222222−2200000000000000000000
χ4844-44-4-44-404-40004-4000000000000000022−2222−2200000000000000000000000000
χ4944-44-4-44-404-40004-40000000000000000−2222−222200000000000000000000000000
χ5044-44-4-44-40-44000-444-44-4000000000000000000000000000000000000000000
χ5144-44-4-44-40-44000-44-44-44000000000000000000000000000000000000000000
χ524-444-44-4-4400-4-44000000000000000000000000000022−22−22220000000000000000
χ534-444-44-4-4400-4-440000000000000000000000000000−222222−220000000000000000
χ544-444-44-4-4-40044-4000000004-4-44000000000000000000000000000000000000
χ554-444-44-4-4-40044-400000000-444-4000000000000000000000000000000000000
χ564-44-4-4-4444-4-4-44-44400004-40000000000000000000000000000000000000000
χ574-4-4-4444-404-4000-4400000000000000002i2−2i2−2i22i200000000000000000000000000
χ584-4-4-4444-404-4000-440000000000000000−2i22i22i2−2i200000000000000000000000000
χ594-4-4-4444-40-440004-44i−4i−4i4i000000000000000000000000000000000000000000
χ604-4-4-4444-40-440004-4−4i4i4i−4i000000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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