Finite Group Databasebeta

← Group #279574

Character table — Group #279574

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111111111-1-1
χ91111111111111111-1-111-1-1-1-111111111-1111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-111-1-11-1
χ101111111111111111-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-1-1111-1-1-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-11
χ172222222222-2-2-222-222-2-2-2-22222220000-20000-2-222-2-20000000000000000000000
χ182222222222-2-2-222-222-2-2-2-222-2-2-2-20000-2000022-2-2220000000000000000000000
χ192222222222-2-2-222-2-2-2-2-222-2-22222000020000-2-2-2-2220000000000000000000000
χ202222222222-2-2-222-2-2-2-2-222-2-2-2-2-2-20000200002222-2-20000000000000000000000
χ2122222222-2-2222-2-2222-2-2-2-2-2-2000022-2-22000000000000000000-20020000000000
χ2222222222-2-2222-2-2222-2-2-2-2-2-20000-2-2222000000000000000000200-20000000000
χ2322222222-2-2222-2-22-2-2-2-22222000022-2-2-2000000000000000000200-20000000000
χ2422222222-2-2222-2-22-2-2-2-222220000-2-222-2000000000000000000-20020000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-200000000-200000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-200000000-20000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22200000000200000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-2220000000020000000000−2i−2i2i2i00000000002i−2i000000
χ2922-22-2-22-2222-22-2-2-2002-2000000002-22-2022-2-20000000000000002-200000000000
χ3022-22-2-22-2222-22-2-2-2002-2000000002-22-20-2-222000000000000000-2200000000000
χ3122-22-2-22-2222-22-2-2-2002-200000000-22-22022-2-2000000000000000-2200000000000
χ3222-22-2-22-2222-22-2-2-2002-200000000-22-220-2-2220000000000000002-200000000000
χ3322-22-2-22-2-2-22-2222-200-22000000002-2-220000000000000002i2i−2i−2i00002i−2i00000000
χ3422-22-2-22-2-2-22-2222-200-22000000002-2-22000000000000000−2i−2i2i2i0000−2i2i00000000
χ3522-22-2-22-2-2-22-2222-200-2200000000-222-20000000000000002i2i−2i−2i0000−2i2i00000000
χ3622-22-2-22-2-2-22-2222-200-2200000000-222-2000000000000000−2i−2i2i2i00002i−2i00000000
χ3722-2-22-2-222-20002-202i−2i00002i−2i22-2-2000002−22−2002i−2i000000i2−i2i2−i2000000002−2i2−i200
χ3822-2-22-2-222-20002-202i−2i00002i−2i22-2-200000−22−22002i−2i000000−i2i2−i2i200000000−22−i2i200
χ3922-2-22-2-222-20002-202i−2i00002i−2i-2-222000002−22−200−2i2i000000i2−i2i2−i200000000−22−i2i200
χ4022-2-22-2-222-20002-202i−2i00002i−2i-2-22200000−22−2200−2i2i000000−i2i2−i2i2000000002−2i2−i200
χ4122-2-22-2-222-20002-20−2i2i0000−2i2i22-2-2000002−22−200−2i2i000000−i2i2−i2i2000000002−2−i2i200
χ4222-2-22-2-222-20002-20−2i2i0000−2i2i22-2-200000−22−2200−2i2i000000i2−i2i2−i200000000−22i2−i200
χ4322-2-22-2-222-20002-20−2i2i0000−2i2i-2-222000002−22−2002i−2i000000−i2i2−i2i200000000−22i2−i200
χ4422-2-22-2-222-20002-20−2i2i0000−2i2i-2-22200000−22−22002i−2i000000i2−i2i2−i2000000002−2−i2i200
χ45444-4-44-4-44-4000-4400000000000000000022−22−22220000000000000000000000000000
χ46444-4-44-4-44-4000-44000000000000000000−222222−220000000000000000000000000000
χ47444-4-44-4-4-440004-40000000000000000000000000000000022−22−222200000000000000
χ48444-4-44-4-4-440004-400000000000000000000000000000000−222222−2200000000000000
χ4944-44-4-44-444-44-4-4-4400-44000000000000000000000000000000000000000000000
χ5044-44-4-44-4-4-4-44-4444004-4000000000000000000000000000000000000000000000
χ5144-4-44-4-44-44000-4404i−4i0000−4i4i00000000000000000000000000000000000000000
χ5244-4-44-4-44-44000-440−4i4i00004i−4i00000000000000000000000000000000000000000
χ534-4444-4-4-40000000000004-40022−2222−22000000000000022−220000000000000000000000
χ544-4444-4-4-40000000000004-400−2222−22220000000000000−22220000000000000000000000
χ554-4444-4-4-4000000000000-440022−2222−220000000000000−22220000000000000000000000
χ564-4444-4-4-4000000000000-4400−2222−2222000000000000022−220000000000000000000000
χ574-44-4-4-444004-4-400400000000000000000000000000022−2222−22000000000000000000
χ584-44-4-4-444004-4-4004000000000000000000000000000−2222−2222000000000000000000
χ594-44-4-4-44400-44400-40000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ604-44-4-4-44400-44400-4000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ614-4-4-4444-40044-400-40000000022−22−222200000000022−2200000000000000000000000000
χ624-4-4-4444-40044-400-400000000−222222−22000000000−222200000000000000000000000000
χ634-4-4-4444-400-4-440040000000022−22−2222000000000−222200000000000000000000000000
χ644-4-4-4444-400-4-4400400000000−222222−2200000000022−2200000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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