Finite Group Databasebeta

← Group #308274

Character table — Group #308274

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11111-1-111111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11
χ101111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1111111-1-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111111-1-111-1
χ172222222222-2-2-222-22222-2-2000000002200-2-200000022-2-20000-200000000000000
χ182222222222-2-2-222-22222-2-200000000-2-200-2-2000000-2-2220000200000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200000000220022000000-2-2220000-200000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-200000000-2-2002200000022-2-20000200000000000000
χ2122222222-2-2222-2-220000-2-22222222200-2-200-2-20000000000000000000-20000000
χ2222222222-2-2222-2-220000-2-22222-2-2-2-2002200-2-2000000000000000000020000000
χ2322222222-2-2222-2-220000-2-2-2-2-2-222-2-200-2-20022000000000000000000020000000
χ2422222222-2-2222-2-220000-2-2-2-2-2-2-2-222002200220000000000000000000-20000000
χ2522-22-2-22-2222-22-2-2-200002-200002-200002-2000022-2-2000000000002-20000000000
χ2622-22-2-22-2222-22-2-2-200002-200002-200002-20000-2-22200000000000-220000000000
χ2722-22-2-22-2222-22-2-2-200002-20000-220000-22000022-2-200000000000-220000000000
χ2822-22-2-22-2222-22-2-2-200002-20000-220000-220000-2-222000000000002-20000000000
χ2922-22-2-22-2-2-22-2222-22i2i−2i−2i-2200002-20000-222i−2i00000000000000000002i−2i00000000
χ3022-22-2-22-2-2-22-2222-22i2i−2i−2i-220000-2200002-22i−2i0000000000000000000−2i2i00000000
χ3122-22-2-22-2-2-22-2222-2−2i−2i2i2i-2200002-20000-22−2i2i0000000000000000000−2i2i00000000
χ3222-22-2-22-2-2-22-2222-2−2i−2i2i2i-220000-2200002-2−2i2i00000000000000000002i−2i00000000
χ3322-22-2-22-2-2-2-22-22222i2i−2i−2i2-2000000000000−2i2i0000000000000002i−2i00000002-2000
χ3422-22-2-22-2-2-2-22-22222i2i−2i−2i2-2000000000000−2i2i000000000000000−2i2i0000000-22000
χ3522-22-2-22-2-2-2-22-2222−2i−2i2i2i2-20000000000002i−2i0000000000000002i−2i0000000-22000
χ3622-22-2-22-2-2-2-22-2222−2i−2i2i2i2-20000000000002i−2i000000000000000−2i2i00000002-2000
χ3722-2-22-2-222-20002-202i−2i2i−2i00i2i2−i2−i200002-20000i2−i22−22−22i−2i0022−2−200000000i2−i200000
χ3822-2-22-2-222-20002-202i−2i2i−2i00i2i2−i2−i20000-220000i2−i22−22−2−2i2i00−2−22200000000−i2i200000
χ3922-2-22-2-222-20002-202i−2i2i−2i00−i2−i2i2i200002-20000−i2i2−22−222i−2i00−2−22200000000−i2i200000
χ4022-2-22-2-222-20002-202i−2i2i−2i00−i2−i2i2i20000-220000−i2i2−22−22−2i2i0022−2−200000000i2−i200000
χ4122-2-22-2-222-20002-20−2i2i−2i2i00i2i2−i2−i200002-20000i2−i2−22−22−2i2i00−2−22200000000i2−i200000
χ4222-2-22-2-222-20002-20−2i2i−2i2i00i2i2−i2−i20000-220000i2−i2−22−222i−2i0022−2−200000000−i2i200000
χ4322-2-22-2-222-20002-20−2i2i−2i2i00−i2−i2i2i200002-20000−i2i22−22−2−2i2i0022−2−200000000−i2i200000
χ4422-2-22-2-222-20002-20−2i2i−2i2i00−i2−i2i2i20000-220000−i2i22−22−22i−2i00−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-44-4-44-4000-440000000000000000000000022−22−222200000000000000000000000
χ47444-4-44-4-44-4000-4400000000000000000000000−222222−2200000000000000000000000
χ48444-4-44-4-4-440004-404-4-44000000000000000000000000000000000000000000000
χ49444-4-44-4-4-440004-40-444-4000000000000000000000000000000000000000000000
χ5044-44-4-44-444-44-4-4-440000-440000000000000000000000000000000000000000000
χ5144-4-44-4-44-44000-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5244-4-44-4-44-44000-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ534-4444-4-4-4004-4-40040000004-44-4000000000000000000000000000000000000000
χ544-4444-4-4-4004-4-4004000000-44-44000000000000000000000000000000000000000
χ554-4444-4-4-400-44400-400000000000000000000000000000022−2222−22000000000000000
χ564-4444-4-4-400-44400-4000000000000000000000000000000−2222−2222000000000000000
χ574-4-44-44-440044-400-40000000000004i−4i00000000000000000000000000000000000
χ584-4-44-44-440044-400-4000000000000−4i4i00000000000000000000000000000000000
χ594-4-44-44-4400-4-44004000000000000000000000000000000000000000000000022−220
χ604-4-44-44-4400-4-440040000000000000000000000000000000000000000000000−22220
χ614-4-4-4444-4000000000000002i2−2i2−2i22i20000000000000000002i2−2i22-2-22000000000000000
χ624-4-4-4444-4000000000000002i2−2i2−2i22i2000000000000000000−2i22i2-222-2000000000000000
χ634-4-4-4444-400000000000000−2i22i22i2−2i20000000000000000002i2−2i2-222-2000000000000000
χ644-4-4-4444-400000000000000−2i22i22i2−2i2000000000000000000−2i22i22-2-22000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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