Finite Group Databasebeta

← Group #491396

Character table — Group #491396

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222222244444444488888888888888888888888816161616323232323232
order122222444444888844488888824448888161616161616161616161616161616168888244488
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ91111-1-11-1-11111111-11-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-11-11-1
χ101111-1-11-1-11111111-11-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-11-11-11
χ111111-1-11-1-11111111-11-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-11-11
χ121111-1-11-1-11111111-11-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-111-11-1
χ131111-1-11-1-11111111-11-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-1-11-111-1
χ141111-1-11-1-11111111-11-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1111-11-1-11
χ151111-1-11-1-11111111-11-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-111-1-11
χ161111-1-11-1-11111111-11-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1111-1-111-1
χ17222222222222-2-2-2-2222-2-2-2-2-2-22222-2-2-2-200000000000000000000000000
χ18222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000
χ19222222222-2-220000-2-2-20000002-22-200002−22−22−22−222−2−222−2−20000000000
χ20222222222-2-220000-2-2-20000002-22-20000−22−22−22−22−2−222−2−2220000000000
χ21222222222-2-220000-2-2-2000000-22-2200002−22−22−22−2−2−222−2−2220000000000
χ22222222222-2-220000-2-2-2000000-22-220000−22−22−22−2222−2−222−2−20000000000
χ23222222-2-2-222-222222-2-2-2-222-2-20000000022-2-2-2-222000000000000000000
χ24222222-2-2-222-222222-2-2-2-222-2-200000000-2-22222-2-2000000000000000000
χ25222222-2-2-222-2-2-2-2-22-2-222-2-22200000000000000002i−2i2i−2i2i−2i2i−2i0000000000
χ26222222-2-2-222-2-2-2-2-22-2-222-2-2220000000000000000−2i2i−2i2i−2i2i−2i2i0000000000
χ27222222-2-2-2-2-2-20000-22200000000002i−2i2i−2i2−2−22−222−2i2−i2−i2i2i2−i2−i2i20000000000
χ28222222-2-2-2-2-2-20000-22200000000002i−2i2i−2i−222−22−2−22−i2i2i2−i2−i2i2i2−i20000000000
χ29222222-2-2-2-2-2-20000-2220000000000−2i2i−2i2i2−2−22−222−2−i2i2i2−i2−i2i2i2−i20000000000
χ30222222-2-2-2-2-2-20000-2220000000000−2i2i−2i2i−222−22−2−22i2−i2−i2i2i2−i2−i2i20000000000
χ312222-2-22-2-2222-2-2-2-2-22-2-2-2222222-2-2-2-22200000000000000000000000000
χ322222-2-22-2-2222-2-2-2-2-22-2-2-22222-2-22222-2-200000000000000000000000000
χ332222-2-22-2-2-2-2200002-220000002-2-2200002−2−222−2−2222−2−2−2−2220000000000
χ342222-2-22-2-2-2-2200002-220000002-2-220000−222−2−222−2−2−22222−2−20000000000
χ352222-2-22-2-2-2-2200002-22000000-222-200002−2−222−2−22−2−22222−2−20000000000
χ362222-2-22-2-2-2-2200002-22000000-222-20000−222−2−222−222−2−2−2−2220000000000
χ372222-2-2-22222-22222-2-22-2-2-2-222000000002222-2-2-2-2000000000000000000
χ382222-2-2-22222-22222-2-22-2-2-2-22200000000-2-2-2-22222000000000000000000
χ392222-2-2-22222-2-2-2-2-2-2-222222-2-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000
χ402222-2-2-22222-2-2-2-2-2-2-222222-2-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ412222-2-2-222-2-2-2000022-200000000002i−2i−2i2i2−22−2−22−22i2−i2−i2i2−i2i2i2−i20000000000
χ422222-2-2-222-2-2-2000022-200000000002i−2i−2i2i−22−222−22−2−i2i2i2−i2i2−i2−i2i20000000000
χ432222-2-2-222-2-2-2000022-20000000000−2i2i2i−2i2−22−2−22−22−i2i2i2−i2i2−i2−i2i20000000000
χ442222-2-2-222-2-2-2000022-20000000000−2i2i2i−2i−22−222−22−2i2−i2−i2i2−i2i2i2−i20000000000
χ4544-4-4000004-4044-4-400000000000000000000000000000000022−2200000000
χ4644-4-4000004-4044-4-4000000000000000000000000000000000−222200000000
χ4744-4-4000004-40-4-444000000000000000000000000000000000002i2−2i2000000
χ4844-4-4000004-40-4-44400000000000000000000000000000000000−2i22i2000000
χ494-44-44-444-400-422−2222−2200022−2222−2222−220000000000000000000000000000000000
χ504-44-44-444-400-4−2222−2222000−2222−2222−22220000000000000000000000000000000000
χ514-44-44-4-4-4400422−2222−22000−222222−22−22220000000000000000000000000000000000
χ524-44-44-4-4-44004−2222−222200022−22−222222−220000000000000000000000000000000000
χ534-44-4-444-4400-422−2222−2200022−22−2222−22220000000000000000000000000000000000
χ544-44-4-444-4400-4−2222−2222000−222222−2222−220000000000000000000000000000000000
χ554-44-4-44-44-400422−2222−22000−2222−222222−220000000000000000000000000000000000
χ564-44-4-44-44-4004−2222−222200022−2222−22−22220000000000000000000000000000000000
χ5788-8-800000-88000000000000000000000000000000000000000000000000
χ588-8-880000000042−42−42420000000000000000000000000000000000000000000
χ598-8-8800000000−424242−420000000000000000000000000000000000000000000

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