Finite Group Databasebeta

← Group #264284

Character table — Group #264284

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888222244888888888888882224444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-11-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-11111-1-1-111-1-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-11-1-1-1-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-11-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-11111-1-111-1-1-11
χ17222222222-2-222-2-22-22222-20000-2-2000022-2-200000000000020000-200000000
χ18222222222-2-222-2-22-22222-20000-2-20000-2-222000000000000-20000200000000
χ19222222222-2-222-2-22-2-2-2-2-2-2000022000022-2-2000000000000-20000200000000
χ20222222222-2-222-2-22-2-2-2-2-2-20000220000-2-22200000000000020000-200000000
χ2122222222-222-2-222-2-20000-222220022220000-2-200000000000-2-200000000000
χ2222222222-222-2-222-2-20000-2222200-2-2-2-20000-2-2000000000002200000000000
χ2322222222-222-2-222-2-20000-2-2-2-2-20022-2-200002200000000000-2200000000000
χ2422222222-222-2-222-2-20000-2-2-2-2-200-2-222000022000000000002-200000000000
χ252-2-222-2-222-2-2-2-222220000-222-2-200000000002-2000000002-20002-2000000000
χ262-2-222-2-222-2-2-2-222220000-222-2-200000000002-200000000-22000-22000000000
χ272-2-222-2-222-2-2-2-222220000-2-2-2220000000000-22000000002-2000-22000000000
χ282-2-222-2-222-2-2-2-222220000-2-2-2220000000000-2200000000-220002-2000000000
χ292-2-222-2-22-22222-2-2-2222-2-2-200002-2000000000000002i2i−2i−2i000000002i−2i000000
χ302-2-222-2-22-22222-2-2-2222-2-2-200002-200000000000000−2i−2i2i2i00000000−2i2i000000
χ312-2-222-2-22-22222-2-2-22-2-222-20000-22000000000000002i2i−2i−2i00000000−2i2i000000
χ322-2-222-2-22-22222-2-2-22-2-222-20000-2200000000000000−2i−2i2i2i000000002i−2i000000
χ332-2-222-2-22-2-2-22222-2-222-2-2222-2-2-2200000000-2222-2-200000000000000000000
χ342-2-222-2-22-2-2-22222-2-222-2-22-2-222-22000000002-2-2-22200000000000000000000
χ352-2-222-2-22-2-2-22222-2-2-2-222222-2-22-200000000-22-2-22200000000000000000000
χ362-2-222-2-22-2-2-22222-2-2-2-2222-2-2222-2000000002-222-2-200000000000000000000
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ384444-4-4-4-44004-400-4000000000000000000000022−2222−2200000000000000000000
χ394444-4-4-4-44004-400-40000000000000000000000−2222−222200000000000000000000
χ404444-4-4-4-4-400-4400404i−4i4i−4i00000000000000000000000000000000000000000
χ414444-4-4-4-4-400-440040−4i4i−4i4i00000000000000000000000000000000000000000
χ4244-4-444-4-4000000000000002i2−2i22i2−2i20000000022−220000002i−2i2i−2i0000000000000000
χ4344-4-444-4-4000000000000002i2−2i22i2−2i200000000−2222000000−2i2i−2i2i0000000000000000
χ4444-4-444-4-400000000000000−2i22i2−2i22i20000000022−22000000−2i2i−2i2i0000000000000000
χ4544-4-444-4-400000000000000−2i22i2−2i22i200000000−22220000002i−2i2i−2i0000000000000000
χ4644-4-4-4-44404-4004-400000000000004-400000000000000000000000000000000
χ4744-4-4-4-44404-4004-40000000000000-4400000000000000000000000000000000
χ4844-4-4-4-4440-4400-440000000000000000000000000000000000000000022−220000
χ4944-4-4-4-4440-4400-4400000000000000000000000000000000000000000−22220000
χ504-44-44-44-4000000000000002i2−2i2−2i22i20000002i2−2i2000000002-2-220000000000000000
χ514-44-44-44-4000000000000002i2−2i2−2i22i2000000−2i22i200000000-222-20000000000000000
χ524-44-44-44-400000000000000−2i22i22i2−2i20000002i2−2i200000000-222-20000000000000000
χ534-44-44-44-400000000000000−2i22i22i2−2i2000000−2i22i2000000002-2-220000000000000000
χ544-44-4-44-4404-400-44000000000000000000000000000000000000000000022−2200
χ554-44-4-44-4404-400-440000000000000000000000000000000000000000000−222200
χ564-44-4-44-440-44004-40000000000000004-4000000000000000000000000000000
χ574-44-4-44-440-44004-4000000000000000-44000000000000000000000000000000
χ584-4-444-4-44444-4-4-4-44-4000040000000000000000000000000000000000000000
χ594-4-44-444-4400-4400-404i−4i−4i4i00000000000000000000000000000000000000000
χ604-4-44-444-4400-4400-40−4i4i4i−4i00000000000000000000000000000000000000000
χ614-4-44-444-4-4004-4004000000000000000000000022−22−222200000000000000000000
χ624-4-44-444-4-4004-40040000000000000000000000−222222−2200000000000000000000

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