Finite Group Databasebeta

← Group #306993

Character table — Group #306993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888444444444488888888888888244444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111111-111-1-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111111-1-111-1-111-1
χ17222222222-22-22-22-22222-2-2000000-2-222000000220000-2-20000-200000000000000
χ18222222222-22-22-22-22222-2-2000000-2-2-2-2000000-2-20000220000200000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-20000002222000000-2-20000220000-200000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-200000022-2-2000000220000-2-20000200000000000000
χ2122222222-22-22-22-220000-2-22222220000-2-2-2-2-2-2000000000000020000000000000
χ2222222222-22-22-22-220000-2-22222-2-200002222-2-20000000000000-20000000000000
χ2322222222-22-22-22-220000-2-2-2-2-2-2220000-2-222220000000000000-20000000000000
χ2422222222-22-22-22-220000-2-2-2-2-2-2-2-2000022-2-222000000000000020000000000000
χ25222-22-2-2-2-20-20202022-2-20022−2−200002i−2i00002−22i−2i22−2−200i2i2−i2−i200000000i2−i200000
χ26222-22-2-2-2-20-20202022-2-20022−2−20000−2i2i00002−2−2i2i22−2−200−i2−i2i2i200000000−i2i200000
χ27222-22-2-2-2-20-20202022-2-200−2−22200002i−2i0000−222i−2i−2−22200−i2−i2i2i200000000−i2i200000
χ28222-22-2-2-2-20-20202022-2-200−2−2220000−2i2i0000−22−2i2i−2−22200i2i2−i2−i200000000i2−i200000
χ29222-22-2-2-2-20-202020-2-2220022−2−200002i−2i00002−2−2i2i−2−22200−i2−i2i2i200000000i2−i200000
χ30222-22-2-2-2-20-202020-2-2220022−2−20000−2i2i00002−22i−2i−2−22200i2i2−i2−i200000000−i2i200000
χ31222-22-2-2-2-20-202020-2-22200−2−22200002i−2i0000−22−2i2i22−2−200i2i2−i2−i200000000−i2i200000
χ32222-22-2-2-2-20-202020-2-22200−2−2220000−2i2i0000−222i−2i22−2−200−i2−i2i2i200000000i2−i200000
χ332-222-2-22-22-2-222-2-220000-2200002i−2i00002i−2i0000002-22-20000000000002i−2i0000000
χ342-222-2-22-22-2-222-2-220000-2200002i−2i00002i−2i000000-22-22000000000000−2i2i0000000
χ352-222-2-22-22-2-222-2-220000-220000−2i2i0000−2i2i0000002-22-2000000000000−2i2i0000000
χ362-222-2-22-22-2-222-2-220000-220000−2i2i0000−2i2i000000-22-220000000000002i−2i0000000
χ372-222-2-22-2-222-2-222-22-22-2-220000002-200000000000000000000002i−2i0000002i−2i000
χ382-222-2-22-2-222-2-222-22-22-2-220000002-20000000000000000000000−2i2i000000−2i2i000
χ392-222-2-22-2-222-2-222-2-22-22-22000000-2200000000000000000000002i−2i000000−2i2i000
χ402-222-2-22-2-222-2-222-2-22-22-22000000-220000000000000000000000−2i2i0000002i−2i000
χ412-222-2-22-2-2-222-2-2222-22-22-200002i−2i-2200−2i2i000000000000000000002i−2i000000000
χ422-222-2-22-2-2-222-2-2222-22-22-20000−2i2i-22002i−2i00000000000000000000−2i2i000000000
χ432-222-2-22-2-2-222-2-222-22-222-200002i−2i2-200−2i2i00000000000000000000−2i2i000000000
χ442-222-2-22-2-2-222-2-222-22-222-20000−2i2i2-2002i−2i000000000000000000002i−2i000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-44040-40-400000002222−22−220000000000−2222000000000000000000000000000
χ47444-44-4-4-44040-40-40000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-4-4-444040-40-4040000000000000000004-400000000000000000000000000000
χ4944-4-4-4-444040-40-404000000000000000000-4400000000000000000000000000000
χ5044-4-4-4-4440-404040-4000000000000000000000000000000000000000000000022−220
χ5144-4-4-4-4440-404040-40000000000000000000000000000000000000000000000−22220
χ524-444-4-44-444-4-444-4-400004-40000000000000000000000000000000000000000000
χ534-44-4-44-4440-40-40404-4-44000000000000000000000000000000000000000000000
χ544-44-4-44-4440-40-4040-444-4000000000000000000000000000000000000000000000
χ554-44-4-44-44-404040-4000000000000000000000000022−22−2222000000000000000000000
χ564-44-4-44-44-404040-40000000000000000000000000−222222−22000000000000000000000
χ574-4-444-4-440000000000000022−2222−2200000000000000000022−222-22-2000000000000000
χ584-4-444-4-440000000000000022−2222−22000000000000000000−2222-22-22000000000000000
χ594-4-444-4-4400000000000000−2222−222200000000000000000022−22-22-22000000000000000
χ604-4-444-4-4400000000000000−2222−2222000000000000000000−22222-22-2000000000000000
χ614-4-4-4444-404040-40-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-4-4444-404040-40-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-4-4444-40-40-404040000004-4-44000000000000000000000000000000000000000
χ644-4-4-4444-40-40-40404000000-444-4000000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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