Finite Group Databasebeta

← Group #307452

Character table — Group #307452

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-1-1-11-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-111111-1-1-11-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-111-1-111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11111-1-11-1-111-1-1-11
χ17222222222-222-2-22-22222-2-200000000-2-20022-2-2000000000002000-200000000
χ18222222222-222-2-22-22222-2-200000000-2-200-2-22200000000000-2000200000000
χ19222222222-222-2-22-2-2-2-2-2-2-200000000220022-2-200000000000-2000200000000
χ20222222222-222-2-22-2-2-2-2-2-2-2000000002200-2-222000000000002000-200000000
χ2122222222-22-2-222-220000-2-22222222200-2-2000000000000-2000-200000000000
χ2222222222-22-2-222-220000-2-22222-2-2-2-200-2-20000000000002000200000000000
χ2322222222-22-2-222-220000-2-2-2-2-2-222-2-20022000000000000-2000200000000000
χ2422222222-22-2-222-220000-2-2-2-2-2-2-2-22200220000000000002000-200000000000
χ2522-22-22-2-20-2002-2020000002i2i−2i−2i2i−2i2-200002−22−20000i2i2−i2−i20000000000i2−i22−200
χ2622-22-22-2-20-2002-2020000002i2i−2i−2i2i−2i2-20000−22−220000−i2−i2i2i20000000000−i2i2−2200
χ2722-22-22-2-20-2002-2020000002i2i−2i−2i−2i2i-2200002−22−20000i2i2−i2−i20000000000−i2i2−2200
χ2822-22-22-2-20-2002-2020000002i2i−2i−2i−2i2i-220000−22−220000−i2−i2i2i20000000000i2−i22−200
χ2922-22-22-2-20-2002-202000000−2i−2i2i2i2i−2i-2200002−22−20000−i2−i2i2i20000000000i2−i2−2200
χ3022-22-22-2-20-2002-202000000−2i−2i2i2i2i−2i-220000−22−220000i2i2−i2−i20000000000−i2i22−200
χ3122-22-22-2-20-2002-202000000−2i−2i2i2i−2i2i2-200002−22−20000−i2−i2i2i20000000000−i2i22−200
χ3222-22-22-2-20-2002-202000000−2i−2i2i2i−2i2i2-20000−22−220000i2i2−i2−i20000000000i2−i2−2200
χ332-22-2-222-22-2-2-2222-200002-22-22-20000002-200000000000002i−2i002i−2i000000000
χ342-22-2-222-22-2-2-2222-200002-22-22-20000002-20000000000000−2i2i00−2i2i000000000
χ352-22-2-222-22-2-2-2222-200002-2-22-22000000-2200000000000002i−2i00−2i2i000000000
χ362-22-2-222-22-2-2-2222-200002-2-22-22000000-220000000000000−2i2i002i−2i000000000
χ372-22-2-222-2-2222-2-2-222i2i−2i−2i2-2000000002i−2i00000000002i−2i2i−2i000000002-2000000
χ382-22-2-222-2-2222-2-2-222i2i−2i−2i2-2000000002i−2i0000000000−2i2i−2i2i00000000-22000000
χ392-22-2-222-2-2222-2-2-22−2i−2i2i2i2-200000000−2i2i00000000002i−2i2i−2i00000000-22000000
χ402-22-2-222-2-2222-2-2-22−2i−2i2i2i2-200000000−2i2i0000000000−2i2i−2i2i000000002-2000000
χ412-22-2-222-2-2-22222-2-22i2i−2i−2i-222-22-20000−2i2i-2200002i2i−2i−2i00000000000000000000
χ422-22-2-222-2-2-22222-2-22i2i−2i−2i-22-22-220000−2i2i2-20000−2i−2i2i2i00000000000000000000
χ432-22-2-222-2-2-22222-2-2−2i−2i2i2i-222-22-200002i−2i-220000−2i−2i2i2i00000000000000000000
χ442-22-2-222-2-2-22222-2-2−2i−2i2i2i-22-22-2200002i−2i2-200002i2i−2i−2i00000000000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-4-44404-400-40000000000000000000000022−2222−2200000000000000000000
χ47444-4-4-4-44404-400-400000000000000000000000−2222−222200000000000000000000
χ48444-4-4-4-44-40-4400404i−4i4i−4i000000000000000000000000000000000000000000
χ49444-4-4-4-44-40-440040−4i4i−4i4i000000000000000000000000000000000000000000
χ5044-44-44-4-40400-440-400000000000000000022−22−2222000000000000000000000000
χ5144-44-44-4-40400-440-4000000000000000000−222222−22000000000000000000000000
χ524-4444-4-4-440-4400-404-4-44000000000000000000000000000000000000000000
χ534-4444-4-4-440-4400-40-444-4000000000000000000000000000000000000000000
χ544-4444-4-4-4-404-4004000000000000000000000002i2−2i2−2i22i200000000000000000000
χ554-4444-4-4-4-404-400400000000000000000000000−2i22i22i2−2i200000000000000000000
χ564-44-4-444-444-4-4-4-4440000-440000000000000000000000000000000000000000
χ574-4-4-444-4404004-40-40000004i−4i−4i4i000000000000000000000000000000000000
χ584-4-4-444-4404004-40-4000000−4i4i4i−4i000000000000000000000000000000000000
χ594-4-4-444-440-400-44040000000000000000000000000022−22−22220000000000000000
χ604-4-4-444-440-400-440400000000000000000000000000−222222−220000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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