Finite Group Databasebeta

← Group #281105

Character table — Group #281105

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882244444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-111111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-11-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-11
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-1111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-111-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-111-1-1-1-11111-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-11-1
χ172222222222-2-22-2-22-20000-22222222200-2-2000000000000-200-2000000000000
χ182222222222-2-22-2-22-20000-22222-2-2-2-200-2-20000000000002002000000000000
χ192222222222-2-22-2-22-20000-2-2-2-2-222-2-20022000000000000200-2000000000000
χ202222222222-2-22-2-22-20000-2-2-2-2-2-2-2220022000000000000-2002000000000000
χ2122222222-2-222-222-2-22222-200000000-2-20022-2-20000000002-20000000000000
χ2222222222-2-222-222-2-22222-200000000-2-200-2-222000000000-220000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200000000220022-2-2000000000-220000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000000002200-2-2220000000002-20000000000000
χ2522-22-2-2-22-2200200-20000002i2i−2i−2i2-22i−2i0000i2−i2i2−i2000022−2−200000000i2−i22−20000
χ2622-22-2-2-22-2200200-20000002i2i−2i−2i2-22i−2i0000−i2i2−i2i20000−2−22200000000−i2i2−220000
χ2722-22-2-2-22-2200200-20000002i2i−2i−2i-22−2i2i0000i2−i2i2−i2000022−2−200000000−i2i2−220000
χ2822-22-2-2-22-2200200-20000002i2i−2i−2i-22−2i2i0000−i2i2−i2i20000−2−22200000000i2−i22−20000
χ2922-22-2-2-22-2200200-2000000−2i−2i2i2i2-2−2i2i0000i2−i2i2−i20000−2−22200000000i2−i2−220000
χ3022-22-2-2-22-2200200-2000000−2i−2i2i2i2-2−2i2i0000−i2i2−i2i2000022−2−200000000−i2i22−20000
χ3122-22-2-2-22-2200200-2000000−2i−2i2i2i-222i−2i0000i2−i2i2−i20000−2−22200000000−i2i22−20000
χ3222-22-2-2-22-2200200-2000000−2i−2i2i2i-222i−2i0000−i2i2−i2i2000022−2−200000000i2−i2−220000
χ332-2222-2-2-22-2-2-2222-2-22i2i−2i−2i2000000002i−2i00000000002-22-20000000000002i−2i00
χ342-2222-2-2-22-2-2-2222-2-22i2i−2i−2i2000000002i−2i0000000000-22-22000000000000−2i2i00
χ352-2222-2-2-22-2-2-2222-2-2−2i−2i2i2i200000000−2i2i00000000002-22-2000000000000−2i2i00
χ362-2222-2-2-22-2-2-2222-2-2−2i−2i2i2i200000000−2i2i0000000000-22-220000000000002i−2i00
χ372-2222-2-2-2-2222-2-2-22-2000022-22-20000002-200000000000000002i−2i2i−2i00000000
χ382-2222-2-2-2-2222-2-2-22-2000022-22-20000002-20000000000000000−2i2i−2i2i00000000
χ392-2222-2-2-2-2222-2-2-22-200002-22-22000000-2200000000000000002i−2i−2i2i00000000
χ402-2222-2-2-2-2222-2-2-22-200002-22-22000000-220000000000000000−2i2i2i−2i00000000
χ412-2222-2-2-2-22-2-2-222222i2i−2i−2i-22-22-20000−2i2i-2200002i2i−2i−2i00000000000000000000
χ422-2222-2-2-2-22-2-2-222222i2i−2i−2i-2-22-220000−2i2i2-20000−2i−2i2i2i00000000000000000000
χ432-2222-2-2-2-22-2-2-22222−2i−2i2i2i-22-22-200002i−2i-220000−2i−2i2i2i00000000000000000000
χ442-2222-2-2-2-22-2-2-22222−2i−2i2i2i-2-22-2200002i−2i2-200002i2i−2i−2i00000000000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ4644-44-4-4-444-400-40040000000000000000002i2−2i2−2i22i2000000000000000000000000
χ4744-44-4-4-444-400-4004000000000000000000−2i22i22i2−2i2000000000000000000000000
χ4844-4-444-4-4004-404-4000000000000000000000002i2−2i22i2−2i200000000000000000000
χ4944-4-444-4-4004-404-400000000000000000000000−2i22i2−2i22i200000000000000000000
χ5044-4-444-4-400-440-44004i−4i4i−4i00000000000000000000000000000000000000000
χ5144-4-444-4-400-440-4400−4i4i−4i4i00000000000000000000000000000000000000000
χ524-4444-4-4-44-4444-4-4-440000-40000000000000000000000000000000000000000
χ534-4-44-444-44400-400-40000004i−4i−4i4i000000000000000000000000000000000000
χ544-4-44-444-44400-400-4000000−4i4i4i−4i000000000000000000000000000000000000
χ554-4-44-444-4-4-40040040000000000000000000000000022−22−22220000000000000000
χ564-4-44-444-4-4-400400400000000000000000000000000−222222−220000000000000000
χ574-4-4-44-444004-40-44004-4-4400000000000000000000000000000000000000000
χ584-4-4-44-444004-40-4400-444-400000000000000000000000000000000000000000
χ594-4-4-44-44400-4404-40000000000000000000000022−22−222200000000000000000000
χ604-4-4-44-44400-4404-400000000000000000000000−222222−2200000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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