Finite Group Databasebeta

← Group #311199

Character table — Group #311199

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-111-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-1111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ91111111111111111-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-11-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1-11111-1-1-1-111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1111-1-1-1-111-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-111111-1-1-1-111-1-11-1
χ17222222222-2-22-2-2222222-2-2000000-2-20000220000-2-2000000002-20000000000
χ18222222222-2-22-2-2222222-2-2000000-2-20000-2-200002200000000-220000000000
χ19222222222-2-22-2-222-2-2-2-2-2-2000000220000220000-2-200000000-220000000000
χ20222222222-2-22-2-222-2-2-2-2-2-2000000220000-2-2000022000000002-20000000000
χ2122222222-222-222-2-20000-2-22222220022-2-2000000000000-2-200000000000000
χ2222222222-222-222-2-20000-2-22222-2-200-2-2-2-20000000000002200000000000000
χ2322222222-222-222-2-20000-2-2-2-2-2-22200-2-222000000000000-2200000000000000
χ2422222222-222-222-2-20000-2-2-2-2-2-2-2-20022220000000000002-200000000000000
χ2522-22-2-2-222-2-2-2222-20000-222i2i−2i−2i0000002i−2i000000000000002i−2i002-200000000
χ2622-22-2-2-222-2-2-2222-20000-222i2i−2i−2i0000002i−2i00000000000000−2i2i00-2200000000
χ2722-22-2-2-222-2-2-2222-20000-22−2i−2i2i2i000000−2i2i000000000000002i−2i00-2200000000
χ2822-22-2-2-222-2-2-2222-20000-22−2i−2i2i2i000000−2i2i00000000000000−2i2i002-200000000
χ2922-22-2-2-22-2222-2-2-222i2i−2i−2i-220000002i−2i00000000000022-2-2000000002i−2i000000
χ3022-22-2-2-22-2222-2-2-222i2i−2i−2i-220000002i−2i000000000000-2-22200000000−2i2i000000
χ3122-22-2-2-22-2222-2-2-22−2i−2i2i2i-22000000−2i2i00000000000022-2-200000000−2i2i000000
χ3222-22-2-2-22-2222-2-2-22−2i−2i2i2i-22000000−2i2i000000000000-2-222000000002i−2i000000
χ3322-22-2-2-22-2-2-2222-222i2i−2i−2i2-22i2i−2i−2i00−2i2i00−2i2i0022-2-20000000000000000000000
χ3422-22-2-2-22-2-2-2222-222i2i−2i−2i2-2−2i−2i2i2i00−2i2i002i−2i00-2-2220000000000000000000000
χ3522-22-2-2-22-2-2-2222-22−2i−2i2i2i2-22i2i−2i−2i002i−2i00−2i2i00-2-2220000000000000000000000
χ3622-22-2-2-22-2-2-2222-22−2i−2i2i2i2-2−2i−2i2i2i002i−2i002i−2i0022-2-20000000000000000000000
χ3722-2-2-222-202-202-2000000002i−2i2i−2i2i−2i002-200i2−i20000i2−i22−22−200000000002−2i2−i200
χ3822-2-2-222-202-202-2000000002i−2i2i−2i2i−2i002-200−i2i20000−i2i2−22−220000000000−22−i2i200
χ3922-2-2-222-202-202-2000000002i−2i2i−2i−2i2i00-2200i2−i20000i2−i22−22−20000000000−22−i2i200
χ4022-2-2-222-202-202-2000000002i−2i2i−2i−2i2i00-2200−i2i20000−i2i2−22−2200000000002−2i2−i200
χ4122-2-2-222-202-202-200000000−2i2i−2i2i2i−2i00-2200i2−i20000i2−i2−22−2200000000002−2−i2i200
χ4222-2-2-222-202-202-200000000−2i2i−2i2i2i−2i00-2200−i2i20000−i2i22−22−20000000000−22i2−i200
χ4322-2-2-222-202-202-200000000−2i2i−2i2i−2i2i002-200i2−i20000i2−i2−22−220000000000−22i2−i200
χ4422-2-2-222-202-202-200000000−2i2i−2i2i−2i2i002-200−i2i20000−i2i22−22−200000000002−2−i2i200
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-44-4-4-404-40-44000000000000000000000000000022−22−22220000000000000000
χ47444-44-4-4-404-40-440000000000000000000000000000−222222−220000000000000000
χ48444-44-4-4-40-4404-4000000004-4-44000000000000000000000000000000000000
χ49444-44-4-4-40-4404-400000000-444-4000000000000000000000000000000000000
χ5044-44-4-4-44444-4-4-44-400004-40000000000000000000000000000000000000000
χ5144-4-4-444-40-440-44000000000000000000002i2−2i20000−2i22i200000000000000000000
χ5244-4-4-444-40-440-4400000000000000000000−2i22i200002i2−2i200000000000000000000
χ534-444-44-4-4400400-4-44-44-4000000000000000000000000000000000000000000
χ544-444-44-4-4400400-4-4-44-44000000000000000000000000000000000000000000
χ554-444-44-4-4-400-40044000000000000000000002i2−2i22i2−2i20000000000000000000000
χ564-444-44-4-4-400-4004400000000000000000000−2i22i2−2i22i20000000000000000000000
χ574-4-444-44-4400-400-44000000000000000000002i2−2i2−2i22i20000000000000000000000
χ584-4-444-44-4400-400-4400000000000000000000−2i22i22i2−2i20000000000000000000000
χ594-4-444-44-4-4004004-44i−4i−4i4i000000000000000000000000000000000000000000
χ604-4-444-44-4-4004004-4−4i4i4i−4i000000000000000000000000000000000000000000
χ618-88-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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