Finite Group Databasebeta

← Group #284362

Character table — Group #284362

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882244444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-111-1-1111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-11111-11
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111-1-1-1-1-1-1-111111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-111111-1-111-1-11-1
χ172222222222-22-2-2-22-20000-222222200220000-2-20000000000-2-2000000000000
χ182222222222-22-2-2-22-20000-22222-2-200-2-20000-2-2000000000022000000000000
χ192222222222-22-2-2-22-20000-2-2-2-2-22200-2-20000220000000000-22000000000000
χ202222222222-22-2-2-22-20000-2-2-2-2-2-2-2002200002200000000002-2000000000000
χ2122222222-2-22-2222-2-22222-2000000-2-20022-2-200000000000000002-200000000
χ2222222222-2-22-2222-2-22222-2000000-2-200-2-2220000000000000000-2200000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2000000220022-2-20000000000000000-2200000000
χ2422222222-2-22-2222-2-2-2-2-2-2-20000002200-2-22200000000000000002-200000000
χ2522-222-2-2-22-20-200020000002i2i−2i−2i2-2002i−2i2−22−2000000i2i2−i2−i200000000i2−i22−20000
χ2622-222-2-2-22-20-200020000002i2i−2i−2i2-2002i−2i−22−22000000−i2−i2i2i200000000−i2i2−220000
χ2722-222-2-2-22-20-200020000002i2i−2i−2i-2200−2i2i2−22−2000000i2i2−i2−i200000000−i2i2−220000
χ2822-222-2-2-22-20-200020000002i2i−2i−2i-2200−2i2i−22−22000000−i2−i2i2i200000000i2−i22−20000
χ2922-222-2-2-22-20-20002000000−2i−2i2i2i2-200−2i2i2−22−2000000−i2−i2i2i200000000−i2i22−20000
χ3022-222-2-2-22-20-20002000000−2i−2i2i2i2-200−2i2i−22−22000000i2i2−i2−i200000000i2−i2−220000
χ3122-222-2-2-22-20-20002000000−2i−2i2i2i-22002i−2i2−22−2000000−i2−i2i2i200000000i2−i2−220000
χ3222-222-2-2-22-20-20002000000−2i−2i2i2i-22002i−2i−22−22000000i2i2−i2−i200000000−i2i22−20000
χ332-2-22-2-222222-2-22-2-2-2000022i−2i2i−2i00000000002i−2i000000002-2002i−2i0000000000
χ342-2-22-2-222222-2-22-2-2-2000022i−2i2i−2i00000000002i−2i00000000-2200−2i2i0000000000
χ352-2-22-2-222222-2-22-2-2-200002−2i2i−2i2i0000000000−2i2i000000002-200−2i2i0000000000
χ362-2-22-2-222222-2-22-2-2-200002−2i2i−2i2i0000000000−2i2i00000000-22002i−2i0000000000
χ372-2-22-2-22222-2-22-22-2222-2-2-22i−2i2i−2i002-2000000−2i2i2i2i−2i−2i00000000000000000000
χ382-2-22-2-22222-2-22-22-2222-2-2-2−2i2i−2i2i002-20000002i−2i−2i−2i2i2i00000000000000000000
χ392-2-22-2-22222-2-22-22-22-2-222-22i−2i2i−2i00-22000000−2i2i−2i−2i2i2i00000000000000000000
χ402-2-22-2-22222-2-22-22-22-2-222-2−2i2i−2i2i00-220000002i−2i2i2i−2i−2i00000000000000000000
χ412-2-22-2-222-2-2-222-222-222-2-22000000-220000000000002-22-20000000000002-200
χ422-2-22-2-222-2-2-222-222-222-2-22000000-22000000000000-22-22000000000000-2200
χ432-2-22-2-222-2-2-222-222-2-2-22220000002-20000000000002-22-2000000000000-2200
χ442-2-22-2-222-2-2-222-222-2-2-22220000002-2000000000000-22-220000000000002-200
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-4-4-44-400404-4-40000000000000000000000022−2222−2200000000000000000000
χ47444-4-4-44-400404-4-400000000000000000000000−2222−222200000000000000000000
χ48444-4-4-44-400-40-444004i−4i4i−4i00000000000000000000000000000000000000000
χ49444-4-4-44-400-40-44400−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-444-4-4-4-4404000-4000000000000000022−22−222200000000000000000000000000
χ5144-444-4-4-4-4404000-40000000000000000−222222−2200000000000000000000000000
χ524-444-44-4-44-404000-40000004-4-44000000000000000000000000000000000000
χ534-444-44-4-44-404000-4000000-444-4000000000000000000000000000000000000
χ544-444-44-4-4-440-40004000000000000000000000000002i2−2i2−2i22i20000000000000000
χ554-444-44-4-4-440-4000400000000000000000000000000−2i22i22i2−2i20000000000000000
χ564-4-44-4-444-4-444-44-4440000-40000000000000000000000000000000000000000
χ574-4-4-4444-40040-4-44004i−4i−4i4i00000000000000000000000000000000000000000
χ584-4-4-4444-40040-4-4400−4i4i4i−4i00000000000000000000000000000000000000000
χ594-4-4-4444-400-4044-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ604-4-4-4444-400-4044-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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