Finite Group Databasebeta

← Group #286467

Character table — Group #286467

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111111111111111-1-111-1-1-1-1111111-11111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11
χ101111111111111111-1-111-1-1-1-1111111-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-1
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-111-1-11-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-11111-1-1-1-1-11
χ17222222222-2-2-2222-222-2-2-2-2-2-20000222-2-20000000000000000002-2000000000000
χ18222222222-2-2-2222-222-2-2-2-2-2-20000-2-2222000000000000000000-22000000000000
χ19222222222-2-2-2222-2-2-2-2-22222000022-2-2-2000000000000000000-22000000000000
χ20222222222-2-2-2222-2-2-2-2-222220000-2-2-2220000000000000000002-2000000000000
χ2122222222-2222-2-2-2222-2-2-2-222222200-200-2-22200000000-2-2000000000000000000
χ2222222222-2222-2-2-2222-2-2-2-222-2-2-2-200-20022-2-20000000022000000000000000000
χ2322222222-2222-2-2-22-2-2-2-222-2-2222200200-2-2-2-20000000022000000000000000000
χ2422222222-2222-2-2-22-2-2-2-222-2-2-2-2-2-200200222200000000-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-2000000-200000000000000002i2i−2i−2i00000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-2222222-2-2000000-20000000000000000−2i−2i2i2i0000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-222000000200000000000000002i2i−2i−2i0000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-22200000020000000000000000−2i−2i2i2i00000000002i−2i00
χ2922-22-2-22-202-2-200022-200002-22i2i−2i−2i00000002i−2ii2i2−i2−i2i2i2−i2−i20000000000002−22−20000
χ3022-22-2-22-202-2-200022-200002-22i2i−2i−2i00000002i−2i−i2−i2i2i2−i2−i2i2i2000000000000−22−220000
χ3122-22-2-22-202-2-200022-200002-2−2i−2i2i2i0000000−2i2ii2i2−i2−i2i2i2−i2−i2000000000000−22−220000
χ3222-22-2-22-202-2-200022-200002-2−2i−2i2i2i0000000−2i2i−i2−i2i2i2−i2−i2i2i20000000000002−22−20000
χ3322-22-2-22-202-2-20002-220000-222i2i−2i−2i0000000−2i2ii2i2−i2−i2−i2−i2i2i20000000000002−2−220000
χ3422-22-2-22-202-2-20002-220000-222i2i−2i−2i0000000−2i2i−i2−i2i2i2i2i2−i2−i2000000000000−222−20000
χ3522-22-2-22-202-2-20002-220000-22−2i−2i2i2i00000002i−2ii2i2−i2−i2−i2−i2i2i2000000000000−222−20000
χ3622-22-2-22-202-2-20002-220000-22−2i−2i2i2i00000002i−2i−i2−i2i2i2i2i2−i2−i20000000000002−2−220000
χ372-2-2-2222-22-22-22-2-22002-2000000000000000002i−2i2i−2i0000002-22-2002i−2i0000000000
χ382-2-2-2222-22-22-22-2-22002-2000000000000000002i−2i2i−2i000000-22-2200−2i2i0000000000
χ392-2-2-2222-22-22-22-2-22002-200000000000000000−2i2i−2i2i0000002-22-200−2i2i0000000000
χ402-2-2-2222-22-22-22-2-22002-200000000000000000−2i2i−2i2i000000-22-22002i−2i0000000000
χ412-2-2-2222-2-22-22-222-2002-20000000000000000000002-22-2002i−2i−2i2i00002i−2i00000000
χ422-2-2-2222-2-22-22-222-2002-20000000000000000000002-22-200−2i2i2i−2i0000−2i2i00000000
χ432-2-2-2222-2-22-22-222-2002-2000000000000000000000-22-22002i−2i−2i2i0000−2i2i00000000
χ442-2-2-2222-2-22-22-222-2002-2000000000000000000000-22-2200−2i2i2i−2i00002i−2i00000000
χ45444-44-4-4-44000-4-4400000000022−2222−220000022−22000000000000000000000000000000
χ46444-44-4-4-44000-4-44000000000−2222−222200000−2222000000000000000000000000000000
χ47444-44-4-4-4-400044-400000000022−2222−2200000−2222000000000000000000000000000000
χ48444-44-4-4-4-400044-4000000000−2222−22220000022−22000000000000000000000000000000
χ4944-44-4-44-40-444000-44-40000-4400000000000000000000000000000000000000000
χ5044-44-4-44-40-444000-4-4400004-400000000000000000000000000000000000000000
χ5144-4-4-44-440000000000004-4002i2−2i2−2i22i2000000000000000002i2−2i2000000000000000000
χ5244-4-4-44-440000000000004-400−2i22i22i2−2i200000000000000000−2i22i2000000000000000000
χ5344-4-4-44-44000000000000-44002i2−2i2−2i22i200000000000000000−2i22i2000000000000000000
χ5444-4-4-44-44000000000000-4400−2i22i22i2−2i2000000000000000002i2−2i2000000000000000000
χ554-44-4-4-444044-4000-400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ564-44-4-4-444044-4000-40000000000000000000000000−2i22i22i2−2i200000000000000000000
χ574-44-4-4-4440-4-44000400000000000000000000022−22−2222000000000000000000000000
χ584-44-4-4-4440-4-440004000000000000000000000−222222−22000000000000000000000000
χ594-4-444-4-444000-44-400000000000004i−4i00000000000000000000000000000000000
χ604-4-444-4-444000-44-40000000000000−4i4i00000000000000000000000000000000000
χ614-4-444-4-44-40004-4400000000000000004-400000000000000000000000000000000
χ624-4-444-4-44-40004-440000000000000000-4400000000000000000000000000000000
χ634-4-4-4444-444-444-4-4-400-44000000000000000000000000000000000000000000000
χ644-4-4-4444-4-4-44-4-444400-44000000000000000000000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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