Finite Group Databasebeta

← Group #337764

Character table — Group #337764

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-111-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ9111111111111111111-1-1-1-1111111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-111-111-1-1-11-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11-1-1
χ17222222222-22-22-22-2-2-22222000022220000-2-2000000-2-20000000000-20000000000
χ18222222222-22-22-22-2-2-222220000-2-2-2-2000022000000-2-2000000000020000000000
χ19222222222-22-22-22-2-2-2-2-2-2-2000022-2-20000-2-200000022000000000020000000000
χ20222222222-22-22-22-2-2-2-2-2-2-20000-2-222000022000000220000000000-20000000000
χ2122222222-22-22-22-22-2-2000022220000222200-2-2000000-2-200000000000-20000000
χ2222222222-22-22-22-22-2-2000022220000-2-2-2-20022000000-2-20000000000020000000
χ2322222222-22-22-22-22-2-20000-2-2-2-2000022-2-200-2-2000000220000000000020000000
χ2422222222-22-22-22-22-2-20000-2-2-2-20000-2-22200220000002200000000000-20000000
χ25222-2-22-2-202020-20-20022−2−222-2-200002-22-2000000002−20022−2−222−2−200002−200000
χ26222-2-22-2-202020-20-20022−2−222-2-20000-22-22000000002−200−2−22222−2−20000−2200000
χ27222-2-22-2-202020-20-20022−2−2-2-22200002-2-22000000002−20022−2−2−2−2220000−2200000
χ28222-2-22-2-202020-20-20022−2−2-2-2220000-222-2000000002−200−2−222−2−22200002−200000
χ29222-2-22-2-202020-20-200−2−22222-2-200002-22-200000000−2200−2−222−2−2220000−2200000
χ30222-2-22-2-202020-20-200−2−22222-2-20000-22-2200000000−220022−2−2−2−22200002−200000
χ31222-2-22-2-202020-20-200−2−222-2-22200002-2-2200000000−2200−2−22222−2−200002−200000
χ32222-2-22-2-202020-20-200−2−222-2-2220000-222-200000000−220022−2−222−2−20000−2200000
χ3322-222-2-2-22020-20-20002-22-22−22−22-22-20000000022−2−2002−200002−22−20000002−2000
χ3422-222-2-2-22020-20-20002-22-22−22−2-22-2200000000−2−222002−200002−22−2000000−22000
χ3522-222-2-2-22020-20-20002-22-2−22−222-22-200000000−2−22200−220000−22−22000000−22000
χ3622-222-2-2-22020-20-20002-22-2−22−22-22-220000000022−2−200−220000−22−220000002−2000
χ3722-222-2-2-22020-20-2000-22-222−22−22-2-220000000022−2−2002−20000−22−22000000−22000
χ3822-222-2-2-22020-20-2000-22-222−22−2-222-200000000−2−222002−20000−22−220000002−2000
χ3922-222-2-2-22020-20-2000-22-22−22−222-2-2200000000−2−22200−2200002−22−20000002−2000
χ4022-222-2-2-22020-20-2000-22-22−22−22-222-20000000022−2−200−2200002−22−2000000−22000
χ412-2-22-22-2222-2-222-2-22-2000000000000000000002-22-200002i−2i2i−2i000002i−2i00000000
χ422-2-22-22-2222-2-222-2-22-2000000000000000000002-22-20000−2i2i−2i2i00000−2i2i00000000
χ432-2-22-22-2222-2-222-2-22-200000000000000000000-22-2200002i−2i2i−2i00000−2i2i00000000
χ442-2-22-22-2222-2-222-2-22-200000000000000000000-22-220000−2i2i−2i2i000002i−2i00000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-40-40-40404002222−22−2200000000000000000000−2222000000000000000000000
χ47444-4-44-4-40-40-4040400−22−2222220000000000000000000022−22000000000000000000000
χ4844-444-4-4-4-40-40404000000022−2222−22000000000000000000−22220000000000000000000
χ4944-444-4-4-4-40-404040000000−2222−222200000000000000000022−220000000000000000000
χ5044-4-4-4-444000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ5144-4-4-4-444000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ5244-4-4-4-4440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ5344-4-4-4-4440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ544-444-4-44-440-40-4040000000000000000000000022−22−222200000000000000000000000
χ554-444-4-44-440-40-40400000000000000000000000−222222−2200000000000000000000000
χ564-444-4-44-4-404040-400000000000000000004-400000000000000000000000000000
χ574-444-4-44-4-404040-40000000000000000000-4400000000000000000000000000000
χ584-4-44-44-444-4-444-4-44-4400000000000000000000000000000000000000000000000
χ594-4-44-44-44-444-4-444-4-4400000000000000000000000000000000000000000000000
χ604-4-44-44-44-4-444-4-4444-400000000000000000000000000000000000000000000000
χ614-4-4-4444-4040-40-4040000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-4-4444-4040-40-404000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-4-4444-40-404040-4000000000000000000004i−4i000000000000000000000000000
χ644-4-4-4444-40-404040-400000000000000000000−4i4i000000000000000000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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