Finite Group Databasebeta

← Group #277415

Character table — Group #277415

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-11111-11-1-11-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-1-111-111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1111-1-1111-1-1-1-1-11
χ172222222222-2-2-222-2-22222-20000-2-200000022-2-2000000002000000-200000000
χ182222222222-2-2-222-2-22222-20000-2-2000000-2-22200000000-2000000200000000
χ192222222222-2-2-222-2-2-2-2-2-2-200002200000022-2-200000000-2000000200000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000022000000-2-222000000002000000-200000000
χ2122222222-2-2222-2-22-20000-22222002222-2-20000000000000-200-200000000000
χ2222222222-2-2222-2-22-20000-2222200-2-2-2-2-2-20000000000000200200000000000
χ2322222222-2-2222-2-22-20000-2-2-2-2-20022-2-2220000000000000-200200000000000
χ2422222222-2-2222-2-22-20000-2-2-2-2-200-2-222220000000000000200-200000000000
χ2522-2-2-2-22222-2-22-2-2220000-222-2-20000002-2000000000000002i−2i02i−2i000000000
χ2622-2-2-2-22222-2-22-2-2220000-222-2-20000002-200000000000000−2i2i0−2i2i000000000
χ2722-2-2-2-22222-2-22-2-2220000-2-2-222000000-22000000000000002i−2i0−2i2i000000000
χ2822-2-2-2-22222-2-22-2-2220000-2-2-222000000-2200000000000000−2i2i02i−2i000000000
χ2922-2-2-2-222-2-222-222-2222-2-2-200002-2000000000000002i2i−2i−2i0000000000002i−2i00
χ3022-2-2-2-222-2-222-222-2222-2-2-200002-200000000000000−2i−2i2i2i000000000000−2i2i00
χ3122-2-2-2-222-2-222-222-22-2-222-20000-22000000000000002i2i−2i−2i000000000000−2i2i00
χ3222-2-2-2-222-2-222-222-22-2-222-20000-2200000000000000−2i−2i2i2i0000000000002i−2i00
χ3322-2-2-2-222-2-2-2-22222-222-2-2222-2-2-220000-22000022-2-200000000000000000000
χ3422-2-2-2-222-2-2-2-22222-222-2-22-2-222-2200002-20000-2-22200000000000000000000
χ3522-2-2-2-222-2-2-2-22222-2-2-222222-2-22-20000-220000-2-22200000000000000000000
χ3622-2-2-2-222-2-2-2-22222-2-2-2222-2-2222-200002-2000022-2-200000000000000000000
χ372-222-2-22-2002-2200-20000002i−2i2i−2i002-22i−2i002−22−20000i2−i2i2−i2000000002−2i2−i20000
χ382-222-2-22-2002-2200-20000002i−2i2i−2i002-22i−2i00−22−220000−i2i2−i2i200000000−22−i2i20000
χ392-222-2-22-2002-2200-20000002i−2i2i−2i00-22−2i2i002−22−20000i2−i2i2−i200000000−22−i2i20000
χ402-222-2-22-2002-2200-20000002i−2i2i−2i00-22−2i2i00−22−220000−i2i2−i2i2000000002−2i2−i20000
χ412-222-2-22-2002-2200-2000000−2i2i−2i2i002-2−2i2i002−22−20000−i2i2−i2i2000000002−2−i2i20000
χ422-222-2-22-2002-2200-2000000−2i2i−2i2i002-2−2i2i00−22−220000i2−i2i2−i200000000−22i2−i20000
χ432-222-2-22-2002-2200-2000000−2i2i−2i2i00-222i−2i002−22−20000−i2i2−i2i200000000−22i2−i20000
χ442-222-2-22-2002-2200-2000000−2i2i−2i2i00-222i−2i00−22−220000i2−i2i2−i2000000002−2−i2i20000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-44-4-4-44-40004-4000000000000000000000002i2−2i22i2−2i200000000000000000000
χ47444-44-4-4-44-40004-400000000000000000000000−2i22i2−2i22i200000000000000000000
χ48444-44-4-4-4-44000-44004i−4i4i−4i00000000000000000000000000000000000000000
χ49444-44-4-4-4-44000-4400−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-44-44-4-44-4000-44004i−4i−4i4i00000000000000000000000000000000000000000
χ5144-44-44-4-44-4000-4400−4i4i4i−4i00000000000000000000000000000000000000000
χ5244-44-44-4-4-440004-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5344-44-44-4-4-440004-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ5444-4-4-4-4444444-4-4-4-4-4000040000000000000000000000000000000000000000
χ554-444-4-44-400-44-400400000000000000000022−22−2222000000000000000000000000
χ564-444-4-44-400-44-4004000000000000000000−222222−22000000000000000000000000
χ574-4-4-4444-4004-4-40040000000000000000000000000022−22−22220000000000000000
χ584-4-4-4444-4004-4-400400000000000000000000000000−222222−220000000000000000
χ594-4-4-4444-400-44400-40000004i−4i−4i4i000000000000000000000000000000000000
χ604-4-4-4444-400-44400-4000000−4i4i4i−4i000000000000000000000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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