Finite Group Databasebeta

← Group #277552

Character table — Group #277552

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-11111-1-11-1-11-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11-1-1-11111-1-111-11
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
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1111-1-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1111-1-111-1-1-1-1-11
χ172222222222-2-2-222-2-22222-20000-2-2000022-2-200000000002-200000000000000
χ182222222222-2-2-222-2-22222-20000-2-20000-2-2220000000000-2200000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000022000022-2-20000000000-2200000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000220000-2-22200000000002-200000000000000
χ2122222222-2-2222-2-22-20000-222220022220000-2-20000000000-200-20000000000
χ2222222222-2-2222-2-22-20000-2222200-2-2-2-20000-2-2000000000020020000000000
χ2322222222-2-2222-2-22-20000-2-2-2-2-20022-2-20000220000000000-20020000000000
χ2422222222-2-2222-2-22-20000-2-2-2-2-200-2-2220000220000000000200-20000000000
χ252-2-2222-2-222-2-22-2-2220000-222-2-200000000002-2000000000002i−2i02i−2i00000000
χ262-2-2222-2-222-2-22-2-2220000-222-2-200000000002-200000000000−2i2i0−2i2i00000000
χ272-2-2222-2-222-2-22-2-2220000-2-2-2220000000000-22000000000002i−2i0−2i2i00000000
χ282-2-2222-2-222-2-22-2-2220000-2-2-2220000000000-2200000000000−2i2i02i−2i00000000
χ292-2-2222-2-2-2-222-222-2222-2-2-200002-2000000000000002i2i−2i−2i0000000000002i−2i00
χ302-2-2222-2-2-2-222-222-2222-2-2-200002-200000000000000−2i−2i2i2i000000000000−2i2i00
χ312-2-2222-2-2-2-222-222-22-2-222-20000-22000000000000002i2i−2i−2i000000000000−2i2i00
χ322-2-2222-2-2-2-222-222-22-2-222-20000-2200000000000000−2i−2i2i2i0000000000002i−2i00
χ332-2-2222-2-2-2-2-2-22222-222-2-2222-2-2-2200000000-2222-2-200000000000000000000
χ342-2-2222-2-2-2-2-2-22222-222-2-22-2-222-22000000002-2-2-22200000000000000000000
χ352-2-2222-2-2-2-2-2-22222-2-2-222222-2-22-200000000-22-2-22200000000000000000000
χ362-2-2222-2-2-2-2-2-22222-2-2-2222-2-2222-2000000002-222-2-200000000000000000000
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ384444-4-4-4-44-40004-40000000000000000000000022−2222−2200000000000000000000
χ394444-4-4-4-44-40004-400000000000000000000000−2222−222200000000000000000000
χ404444-4-4-4-4-44000-44004-44-400000000000000000000000000000000000000000
χ414444-4-4-4-4-44000-4400-44-4400000000000000000000000000000000000000000
χ4244-4-44-44-4000000000000002i2−2i22i2−2i20000002i2−2i2000000002-22-20000000000000000
χ4344-4-44-44-4000000000000002i2−2i22i2−2i2000000−2i22i200000000-22-220000000000000000
χ4444-4-44-44-400000000000000−2i22i2−2i22i20000002i2−2i200000000-22-220000000000000000
χ4544-4-44-44-400000000000000−2i22i2−2i22i2000000−2i22i2000000002-22-20000000000000000
χ4644-4-4-44-44004-4400-400000000000000000000000000000000000000002i2−2i20000
χ4744-4-4-44-44004-4400-40000000000000000000000000000000000000000−2i22i20000
χ4844-4-4-44-4400-44-4004000000000000004-4000000000000000000000000000000
χ4944-4-4-44-4400-44-400400000000000000-44000000000000000000000000000000
χ504-44-44-4-44000000000000002i2−2i2−2i22i20000000022−220000002i−2i−2i2i0000000000000000
χ514-44-44-4-44000000000000002i2−2i2−2i22i200000000−2222000000−2i2i2i−2i0000000000000000
χ524-44-44-4-4400000000000000−2i22i22i2−2i20000000022−22000000−2i2i2i−2i0000000000000000
χ534-44-44-4-4400000000000000−2i22i22i2−2i200000000−22220000002i−2i−2i2i0000000000000000
χ544-44-4-444-4004-4-40040000000000004-400000000000000000000000000000000
χ554-44-4-444-4004-4-4004000000000000-4400000000000000000000000000000000
χ564-44-4-444-400-44400-4000000000000000000000000000000000000002i2−2i2000000
χ574-44-4-444-400-44400-400000000000000000000000000000000000000−2i22i2000000
χ584-4-4444-4-44444-4-4-4-4-4000040000000000000000000000000000000000000000
χ594-4-44-4-4444-4000-44004-4-4400000000000000000000000000000000000000000
χ604-4-44-4-4444-4000-4400-444-400000000000000000000000000000000000000000
χ614-4-44-4-444-440004-40000000000000000000000022−22−222200000000000000000000
χ624-4-44-4-444-440004-400000000000000000000000−222222−2200000000000000000000

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