Finite Group Databasebeta

← Group #264183

Character table — Group #264183

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882224444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-11-11-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-1111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11-111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1111-1-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1111-1-1-1-1-11
χ172222222222-2-22-2-22-20000-22222002222-2-200000000000000000-2-2000000000
χ182222222222-2-22-2-22-20000-2222200-2-2-2-2-2-20000000000000000022000000000
χ192222222222-2-22-2-22-20000-2-2-2-2-20022-2-222000000000000000002-2000000000
χ202222222222-2-22-2-22-20000-2-2-2-2-200-2-2222200000000000000000-22000000000
χ2122222222-2-222-222-2-22222-20000-2-200000022-2-2000000000020000-200000000
χ2222222222-2-222-222-2-22222-20000-2-2000000-2-2220000000000-20000200000000
χ2322222222-2-222-222-2-2-2-2-2-2-200002200000022-2-20000000000-20000200000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000022000000-2-222000000000020000-200000000
χ2522-22-2-2-222-200200-20000002i2i−2i−2i002i−2i2-2002−22−20000i2i2−i2−i200000000i2−i22−20000
χ2622-22-2-2-222-200200-20000002i2i−2i−2i002i−2i2-200−22−220000−i2−i2i2i200000000−i2i2−220000
χ2722-22-2-2-222-200200-20000002i2i−2i−2i00−2i2i-22002−22−20000i2i2−i2−i200000000−i2i2−220000
χ2822-22-2-2-222-200200-20000002i2i−2i−2i00−2i2i-2200−22−220000−i2−i2i2i200000000i2−i22−20000
χ2922-22-2-2-222-200200-2000000−2i−2i2i2i002i−2i-22002−22−20000−i2−i2i2i200000000i2−i2−220000
χ3022-22-2-2-222-200200-2000000−2i−2i2i2i002i−2i-2200−22−220000i2i2−i2−i200000000−i2i22−20000
χ3122-22-2-2-222-200200-2000000−2i−2i2i2i00−2i2i2-2002−22−20000−i2−i2i2i200000000−i2i22−20000
χ3222-22-2-2-222-200200-2000000−2i−2i2i2i00−2i2i2-200−22−220000i2i2−i2−i200000000i2−i2−220000
χ332-2-2-2-22222222-2-2-2-2222-2-2-200002-2000000000000002i−2i2i−2i0000000000002i−2i00
χ342-2-2-2-22222222-2-2-2-2222-2-2-200002-200000000000000−2i2i−2i2i000000000000−2i2i00
χ352-2-2-2-22222222-2-2-2-22-2-222-20000-22000000000000002i−2i2i−2i000000000000−2i2i00
χ362-2-2-2-22222222-2-2-2-22-2-222-20000-2200000000000000−2i2i−2i2i0000000000002i−2i00
χ372-2-2-2-2222-2-2222-2-22-222-2-222-22-2-2200002-2000022-2-200000000000000000000
χ382-2-2-2-2222-2-2222-2-22-222-2-22-22-22-220000-220000-2-22200000000000000000000
χ392-2-2-2-2222-2-2222-2-22-2-2-22222-22-22-200002-20000-2-22200000000000000000000
χ402-2-2-2-2222-2-2222-2-22-2-2-2222-22-222-20000-22000022-2-200000000000000000000
χ412-2-2-2-2222-2-2-2-2222220000-22-22-2000000-220000000000002-202-200000000000
χ422-2-2-2-2222-2-2-2-2222220000-22-22-2000000-22000000000000-220-2200000000000
χ432-2-2-2-2222-2-2-2-2222220000-2-22-220000002-20000000000002-20-2200000000000
χ442-2-2-2-2222-2-2-2-2222220000-2-22-220000002-2000000000000-2202-200000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ4644-44-4-4-44-4400-400400000000000000000022−22−2222000000000000000000000000
χ4744-44-4-4-44-4400-4004000000000000000000−222222−22000000000000000000000000
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
χ524-444-44-4-4004-40-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ534-444-44-4-4004-40-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ544-444-44-4-400-4404-4004i−4i−4i4i00000000000000000000000000000000000000000
χ554-444-44-4-400-4404-400−4i4i4i−4i00000000000000000000000000000000000000000
χ564-44-44-4-444-400-40040000000000000000000000000022−22−22220000000000000000
χ574-44-44-4-444-400-400400000000000000000000000000−222222−220000000000000000
χ584-44-44-4-44-4400400-40000004i−4i−4i4i000000000000000000000000000000000000
χ594-44-44-4-44-4400400-4000000−4i4i4i−4i000000000000000000000000000000000000
χ604-4-4-4-444444-4-4-444-4-4000040000000000000000000000000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-888-88-8000000000000000000000000000000000000000000000000000000

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