Finite Group Databasebeta

← Group #252213

Character table — Group #252213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442444444444444488888888222444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-111-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-11111111-1-1-1-1
χ91111111111111111-1-11-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-11-1-111-1-111-1-1
χ101111111111111111-1-11-1-11-1-1111111-1-1-1-111-1-1-1-11111-1-1-11-1-1-1111-1-111-1-111
χ111111111111111111-1-11-1-11-1-11111-1-11111-1-11111-1-1-1-1111-11-1-1-1-1-1-1-111-1-111
χ121111111111111111-1-11-1-11-1-11111-1-11111-1-1-1-1-1-111111-1-1-11-1-1-11111-1-111-1-1
χ131111111111111111-1-11-1-11-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-111
χ141111111111111111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1111111-1-1-1-1-11111-1-1
χ151111111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-1-111111-1-11111-1-1
χ161111111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1111-1-111-1-1-1-111
χ172222222222-2-222-2-222-222-2-2-200002222000000000000-200-200000000000000
χ182222222222-2-222-2-222-222-2-2-20000-2-2-2-2000000000000200200000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-222000022-2-2000000000000200-200000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2220000-2-222000000000000-200200000000000000
χ2122222222-2-222-2-22222-2-2-2-22-2000000002222000000000000-200-20000000000
χ2222222222-2-222-2-22222-2-2-2-22-200000000-2-2-2-200000000000020020000000000
χ2322222222-2-222-2-222-2-2-222-2-220000000022-2-2000000000000-20020000000000
χ2422222222-2-222-2-222-2-2-222-2-2200000000-2-222000000000000200-20000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22-2222-2-20000000000000000000002-200000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22-22-2-222000000000000000000000-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-222-2-2000000000000000000000-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-2-2-2220000000000000000000002-200000000000
χ2922-22-22-2-22-2002-2002i−2i02i−2i00000002-22i−2i0000i2i2−i2−i222−2−20000000000i2−i22−20000
χ3022-22-22-2-22-2002-2002i−2i02i−2i00000002-22i−2i0000−i2−i2i2i2−2−2220000000000−i2i2−220000
χ3122-22-22-2-22-2002-2002i−2i02i−2i0000000-22−2i2i0000i2i2−i2−i222−2−20000000000−i2i2−220000
χ3222-22-22-2-22-2002-2002i−2i02i−2i0000000-22−2i2i0000−i2−i2i2i2−2−2220000000000i2−i22−20000
χ3322-22-22-2-22-2002-200−2i2i0−2i2i00000002-2−2i2i0000i2i2−i2−i2−2−2220000000000i2−i2−220000
χ3422-22-22-2-22-2002-200−2i2i0−2i2i00000002-2−2i2i0000−i2−i2i2i222−2−20000000000−i2i22−20000
χ3522-22-22-2-22-2002-200−2i2i0−2i2i0000000-222i−2i0000i2i2−i2−i2−2−2220000000000−i2i22−20000
χ3622-22-22-2-22-2002-200−2i2i0−2i2i0000000-222i−2i0000−i2−i2i2i222−2−20000000000i2−i2−220000
χ3722-2-2-2-2222-22-2-222-200200-2002i−2i2i−2i000000002i−2i2i−2i000002-2000000000000000
χ3822-2-2-2-2222-22-2-222-200200-2002i−2i2i−2i00000000−2i2i−2i2i00000-22000000000000000
χ3922-2-2-2-2222-22-2-222-200200-200−2i2i−2i2i000000002i−2i2i−2i00000-22000000000000000
χ4022-2-2-2-2222-22-2-222-200200-200−2i2i−2i2i00000000−2i2i−2i2i000002-2000000000000000
χ4122-2-2-2-222-22-222-2-2200200-2002i−2i−2i2i0000000000002i−2i2i−2i000000002-200000000
χ4222-2-2-2-222-22-222-2-2200200-2002i−2i−2i2i000000000000−2i2i−2i2i00000000-2200000000
χ4322-2-2-2-222-22-222-2-2200200-200−2i2i2i−2i0000000000002i−2i2i−2i00000000-2200000000
χ4422-2-2-2-222-22-222-2-2200200-200−2i2i2i−2i000000000000−2i2i−2i2i000000002-200000000
χ45444-44-4-4-44400-4-4000000000000000000000022−22−22220000000000000000000000
χ46444-44-4-4-44400-4-40000000000000000000000−222222−220000000000000000000000
χ47444-44-4-4-4-4-40044000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ48444-44-4-4-4-4-4004400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ4944-44-44-4-4-4400-44004i−4i0−4i4i00000000000000000000000000000000000000000
χ5044-44-44-4-4-4400-4400−4i4i04i−4i00000000000000000000000000000000000000000
χ5144-4-4-4-4444-4-44-44-4400-40040000000000000000000000000000000000000000
χ5244-4-4-4-444-444-44-44-400-40040000000000000000000000000000000000000000
χ534-444-4-44-4004-400-440000000000000000004i−4i00000000000000000000000000
χ544-444-4-44-4004-400-44000000000000000000−4i4i00000000000000000000000000
χ554-444-4-44-400-44004-400000000000000004i−4i0000000000000000000000000000
χ564-444-4-44-400-44004-40000000000000000−4i4i0000000000000000000000000000
χ574-4-4-4444-4004400-4-40000000000000000000000000000000000000000002i2−2i200
χ584-4-4-4444-4004400-4-4000000000000000000000000000000000000000000−2i22i200
χ594-4-4-4444-400-4-400440000000000000000000000000000000000000000000022−22
χ604-4-4-4444-400-4-4004400000000000000000000000000000000000000000000−2222
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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