Finite Group Databasebeta

← Group #310538

Character table — Group #310538

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1111111-1
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
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1111111-1-111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1111-1-11111-1-1-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ172222222222-2-22-2-220000-2-2222222000022-2-200000000-2-20000-200000000000000
χ182222222222-2-22-2-220000-2-22222-2-20000-2-22200000000-2-20000200000000000000
χ192222222222-2-22-2-220000-2-2-2-2-2-2220000-2-22200000000220000-200000000000000
χ202222222222-2-22-2-220000-2-2-2-2-2-2-2-2000022-2-200000000220000200000000000000
χ2122222222-2-222-222-22222-2-200000022-2-2000022-2-200000000000-20000000000000
χ2222222222-2-222-222-22222-2-2000000-2-2-2-20000-2-2220000000000020000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200000022220000-2-22200000000000-20000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000000-2-222000022-2-20000000000020000000000000
χ2522-22-2-2-222-2222-2-2-22i2i−2i−2i-22000000002i−2i2i−2i2i−2i0000000000000000002-2000000000
χ2622-22-2-2-222-2222-2-2-22i2i−2i−2i-22000000002i−2i−2i2i−2i2i000000000000000000-22000000000
χ2722-22-2-2-222-2222-2-2-2−2i−2i2i2i-2200000000−2i2i2i−2i2i−2i000000000000000000-22000000000
χ2822-22-2-2-222-2222-2-2-2−2i−2i2i2i-2200000000−2i2i−2i2i−2i2i0000000000000000002-2000000000
χ2922-22-2-2-222-2-2-2222-200002-200000000002i−2i−2i2i000022-2-2000000002i−2i00000000000
χ3022-22-2-2-222-2-2-2222-200002-200000000002i−2i−2i2i0000-2-22200000000−2i2i00000000000
χ3122-22-2-2-222-2-2-2222-200002-20000000000−2i2i2i−2i000022-2-200000000−2i2i00000000000
χ3222-22-2-2-222-2-2-2222-200002-20000000000−2i2i2i−2i0000-2-222000000002i−2i00000000000
χ3322-22-2-2-22-2222-2-2-222i2i−2i−2i2-200000000−2i2i0000000000000000000000002-2002i−2i000
χ3422-22-2-2-22-2222-2-2-222i2i−2i−2i2-200000000−2i2i000000000000000000000000-2200−2i2i000
χ3522-22-2-2-22-2222-2-2-22−2i−2i2i2i2-2000000002i−2i0000000000000000000000002-200−2i2i000
χ3622-22-2-2-22-2222-2-2-22−2i−2i2i2i2-2000000002i−2i000000000000000000000000-22002i−2i000
χ372-222-2-22-2002-202-202-22-200i2i2−i2−i2002-20000002-200i2−i2i2−i2i2−i2i2i2−i2−i2000000000000i2−i20
χ382-222-2-22-2002-202-202-22-200i2i2−i2−i200-22000000-2200i2−i2i2−i2i2−i2−i2−i2i2i2000000000000−i2i20
χ392-222-2-22-2002-202-202-22-200−i2−i2i2i2002-20000002-200−i2i2−i2i2−i2i2−i2−i2i2i2000000000000−i2i20
χ402-222-2-22-2002-202-202-22-200−i2−i2i2i200-22000000-2200−i2i2−i2i2−i2i2i2i2−i2−i2000000000000i2−i20
χ412-222-2-22-2002-202-20-22-2200i2i2−i2−i2002-2000000-2200−i2i2−i2i2i2−i2−i2−i2i2i2000000000000i2−i20
χ422-222-2-22-2002-202-20-22-2200i2i2−i2−i200-220000002-200−i2i2−i2i2i2−i2i2i2−i2−i2000000000000−i2i20
χ432-222-2-22-2002-202-20-22-2200−i2−i2i2i2002-2000000-2200i2−i2i2−i2−i2i2i2i2−i2−i2000000000000−i2i20
χ442-222-2-22-2002-202-20-22-2200−i2−i2i2i200-220000002-200i2−i2i2−i2−i2i2−i2−i2i2i2000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-44400-400-400000000004-40000000000000000000000000000000000000
χ47444-44-4-4-44400-400-40000000000-440000000000000000000000000000000000000
χ48444-44-4-4-4-4-40040040000000000000000000000000000000000000000002i2−2i200000
χ49444-44-4-4-4-4-4004004000000000000000000000000000000000000000000−2i22i200000
χ5044-44-4-4-44-44-4-4-44440000-440000000000000000000000000000000000000000000
χ5144-4-4-444-44-400-40040000004i−4i4i−4i000000000000000000000000000000000000000
χ5244-4-4-444-44-400-4004000000−4i4i−4i4i000000000000000000000000000000000000000
χ5344-4-4-444-4-4400400-40000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5444-4-4-444-4-4400400-4000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ554-444-4-44-400-440-4400000002i22i2−2i2−2i2000000000000000000−2i22i20000000000000000000
χ564-444-4-44-400-440-440000000−2i2−2i22i22i20000000000000000002i2−2i20000000000000000000
χ574-4-4444-4-4004-40-4404i−4i−4i4i000000000000000000000000000000000000000000000
χ584-4-4444-4-4004-40-440−4i4i4i−4i000000000000000000000000000000000000000000000
χ594-4-4444-4-400-4404-400000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ604-4-4444-4-400-4404-40000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ614-4-4-44-4440000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ624-4-4-44-4440000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ634-4-4-44-44400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ644-4-4-44-44400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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