Finite Group Databasebeta

← Group #307444

Character table — Group #307444

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-111-1-1111-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-111-111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1111-1-1111-1-1-1-1-11
χ1722222222222-2-2-2-220000-2-22222222200-2-20000000000000-2-20000000000000
χ1822222222222-2-2-2-220000-2-22222-2-2-2-200-2-20000000000000220000000000000
χ1922222222222-2-2-2-220000-2-2-2-2-2-222-2-200220000000000000-220000000000000
χ2022222222222-2-2-2-220000-2-2-2-2-2-2-2-222002200000000000002-20000000000000
χ2122222222-2-2-22222-22222-2-200000000-2-20022-2-2000000002000000-200000000
χ2222222222-2-2-22222-22222-2-200000000-2-200-2-22200000000-2000000200000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200000000220022-2-200000000-2000000200000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2000000002200-2-222000000002000000-200000000
χ25222-22-2-2-222-20000-200000022-2-22-22-200002−22−2000022−2−2000000002−22−20000
χ26222-22-2-2-222-20000-200000022-2-22-22-20000−22−220000−2−22200000000−22−220000
χ27222-22-2-2-222-20000-200000022-2-2-22-2200002−22−2000022−2−200000000−22−220000
χ28222-22-2-2-222-20000-200000022-2-2-22-220000−22−220000−2−222000000002−22−20000
χ29222-22-2-2-222-20000-2000000-2-2222-2-2200002−22−20000−2−222000000002−2−220000
χ30222-22-2-2-222-20000-2000000-2-2222-2-220000−22−22000022−2−200000000−222−20000
χ31222-22-2-2-222-20000-2000000-2-222-222-200002−22−20000−2−22200000000−222−20000
χ32222-22-2-2-222-20000-2000000-2-222-222-20000−22−22000022−2−2000000002−2−220000
χ332-2-2-2222-22-2-222-2-222i2i−2i−2i2-2000000002i−2i00000000002i−2i2i−2i0000000000002-200
χ342-2-2-2222-22-2-222-2-222i2i−2i−2i2-2000000002i−2i0000000000−2i2i−2i2i000000000000-2200
χ352-2-2-2222-22-2-222-2-22−2i−2i2i2i2-200000000−2i2i00000000002i−2i2i−2i000000000000-2200
χ362-2-2-2222-22-2-222-2-22−2i−2i2i2i2-200000000−2i2i0000000000−2i2i−2i2i0000000000002-200
χ372-2-2-2222-2-22222-2-2-22i2i−2i−2i-222-22-20000−2i2i2-200002i2i−2i−2i00000000000000000000
χ382-2-2-2222-2-22222-2-2-22i2i−2i−2i-22-22-220000−2i2i-220000−2i−2i2i2i00000000000000000000
χ392-2-2-2222-2-22222-2-2-2−2i−2i2i2i-222-22-200002i−2i2-20000−2i−2i2i2i00000000000000000000
χ402-2-2-2222-2-22222-2-2-2−2i−2i2i2i-22-22-2200002i−2i-2200002i2i−2i−2i00000000000000000000
χ412-2-2-2222-2-222-2-222-200002-22-22-2000000-220000000000000002i−2i2i−2i000000000
χ422-2-2-2222-2-222-2-222-200002-22-22-2000000-22000000000000000−2i2i−2i2i000000000
χ432-2-2-2222-2-222-2-222-200002-2-22-220000002-20000000000000002i−2i−2i2i000000000
χ442-2-2-2222-2-222-2-222-200002-2-22-220000002-2000000000000000−2i2i2i−2i000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-44-4-4-4-4-440000400000000000000000022−22−2222000000000000000000000000
χ47444-44-4-4-4-4-4400004000000000000000000−222222−22000000000000000000000000
χ4844-44-44-4-40004-44-40000000000000000000000022−2222−2200000000000000000000
χ4944-44-44-4-40004-44-400000000000000000000000−2222−222200000000000000000000
χ5044-44-44-4-4000-44-4404-44-4000000000000000000000000000000000000000000
χ5144-44-44-4-4000-44-440-44-44000000000000000000000000000000000000000000
χ524-44-4-44-440004-4-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ534-44-4-44-440004-4-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ544-44-4-44-44000-444-404i−4i−4i4i000000000000000000000000000000000000000000
χ554-44-4-44-44000-444-40−4i4i4i−4i000000000000000000000000000000000000000000
χ564-4-444-4-444-440000-4000000000000000000000000002i2−2i2−2i22i20000000000000000
χ574-4-444-4-444-440000-400000000000000000000000000−2i22i22i2−2i20000000000000000
χ584-4-444-4-44-44-4000040000004-4-44000000000000000000000000000000000000
χ594-4-444-4-44-44-400004000000-444-4000000000000000000000000000000000000
χ604-4-4-4444-44-4-4-4-44440000-440000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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