Finite Group Databasebeta

← Group #283024

Character table — Group #283024

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11
χ101111111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111111-1-1-111-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111-1-1111
χ172222222222-2-22-2-222222-2-2000000002200-2-200220000-2-20000-200000000000000
χ182222222222-2-22-2-222222-2-200000000-2-200-2-200-2-20000220000200000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000000022002200-2-20000220000-200000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-200000000-2-2002200220000-2-20000200000000000000
χ2122222222-2-222-222-20000-2-22222222200-2-200-2-2000000000000000-200000000000
χ2222222222-2-222-222-20000-2-22222-2-2-2-2002200-2-2000000000000000200000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-222-2-200220022000000000000000-200000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-22200-2-20022000000000000000200000000000
χ25222-2-2-2-222-200-200222-2-20022−2−200002i−2i00002−22i−2i22−2−200i2i2−i2−i200000000i2−i200000
χ26222-2-2-2-222-200-200222-2-20022−2−20000−2i2i00002−2−2i2i22−2−200−i2−i2i2i200000000−i2i200000
χ27222-2-2-2-222-200-200222-2-200−2−22200002i−2i0000−222i−2i−2−22200−i2−i2i2i200000000−i2i200000
χ28222-2-2-2-222-200-200222-2-200−2−2220000−2i2i0000−22−2i2i−2−22200i2i2−i2−i200000000i2−i200000
χ29222-2-2-2-222-200-2002-2-2220022−2−200002i−2i00002−2−2i2i−2−22200−i2−i2i2i200000000i2−i200000
χ30222-2-2-2-222-200-2002-2-2220022−2−20000−2i2i00002−22i−2i−2−22200i2i2−i2−i200000000−i2i200000
χ31222-2-2-2-222-200-2002-2-22200−2−22200002i−2i0000−22−2i2i22−2−200i2i2−i2−i200000000−i2i200000
χ32222-2-2-2-222-200-2002-2-22200−2−2220000−2i2i0000−222i−2i22−2−200−i2−i2i2i200000000i2−i200000
χ332-2-2-222-222222-2-2-2-22i−2i2i−2i-220000000000002i−2i000000000000000000002-200002i−2i0
χ342-2-2-222-222222-2-2-2-22i−2i2i−2i-220000000000002i−2i00000000000000000000-220000−2i2i0
χ352-2-2-222-222222-2-2-2-2−2i2i−2i2i-22000000000000−2i2i000000000000000000002-20000−2i2i0
χ362-2-2-222-222222-2-2-2-2−2i2i−2i2i-22000000000000−2i2i00000000000000000000-2200002i−2i0
χ372-2-2-222-2222-2-2-222-22i−2i2i−2i2-20000002-2002-2−2i2i0000000000000000002i−2i000000000
χ382-2-2-222-2222-2-2-222-22i−2i2i−2i2-2000000-2200-22−2i2i000000000000000000−2i2i000000000
χ392-2-2-222-2222-2-2-222-2−2i2i−2i2i2-20000002-2002-22i−2i000000000000000000−2i2i000000000
χ402-2-2-222-2222-2-2-222-2−2i2i−2i2i2-2000000-2200-222i−2i0000000000000000002i−2i000000000
χ412-2-2-222-22-2-2-2-222220000-220000002-200-220000002-22-200000002-2000000000000
χ422-2-2-222-22-2-2-2-222220000-220000002-200-22000000-22-220000000-22000000000000
χ432-2-2-222-22-2-2-2-222220000-22000000-22002-20000002-22-20000000-22000000000000
χ442-2-2-222-22-2-2-2-222220000-22000000-22002-2000000-22-2200000002-2000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-44-4400400-40000002222−22−220000000000−2222000000000000000000000000000
χ47444-4-4-4-44-4400400-4000000−22−222222000000000022−22000000000000000000000000000
χ4844-444-4-4-4004-404-4000000000000000000000000000000022−2222−22000000000000000
χ4944-444-4-4-4004-404-40000000000000000000000000000000−2222−2222000000000000000
χ5044-444-4-4-400-440-4400000004-44-4000000000000000000000000000000000000000
χ5144-444-4-4-400-440-440000000-44-44000000000000000000000000000000000000000
χ5244-4-4-444-40000000000000022−22−22220000000000000000002i2−2i22i−2i−2i2i000000000000000
χ5344-4-4-444-40000000000000022−22−2222000000000000000000−2i22i2−2i2i2i−2i000000000000000
χ5444-4-4-444-400000000000000−222222−220000000000000000002i2−2i2−2i2i2i−2i000000000000000
χ5544-4-4-444-400000000000000−222222−22000000000000000000−2i22i22i−2i−2i2i000000000000000
χ564-44-44-44-4004-40-44000000000004i−4i0000000000000000000000000000000000000
χ574-44-44-44-4004-40-4400000000000−4i4i0000000000000000000000000000000000000
χ584-44-44-44-400-4404-40000000000000000000000000000000000000000000002i2−2i2000
χ594-44-44-44-400-4404-4000000000000000000000000000000000000000000000−2i22i2000
χ604-4-44-4-4444-400400-44i−4i−4i4i000000000000000000000000000000000000000000000
χ614-4-44-4-4444-400400-4−4i4i4i−4i000000000000000000000000000000000000000000000
χ624-4-44-4-444-4400-400400000000000000000000000022−22−2222000000000000000000000
χ634-4-44-4-444-4400-4004000000000000000000000000−222222−22000000000000000000000
χ644-4-4-444-44-4-4444-4-4400004-40000000000000000000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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