Finite Group Databasebeta

← Group #352297

Character table — Group #352297

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111222222222222222222444444444444444444444488888888888888883232323232323232
order12222244444444888888884488888888888888888888244488888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ1011111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ172222222-2-222-2-2200000000-2-20000000000002222-2-2-2-22-22-20000000022-2-200000000
χ182222222-2-222-2-2200000000-2-20000000000002222-2-2-2-2-22-2200000000-2-22200000000
χ192222222-2-222-2-2200000000-2-2000000000000-2-2-2-222222-22-200000000-2-22200000000
χ202222222-2-222-2-2200000000-2-2000000000000-2-2-2-22222-22-220000000022-2-200000000
χ21222222-222-2-2-2-2-22222-2-2-2-22-222-2-20000000000000000000000002i2i−2i−2i2i−2i2i−2i00000000
χ22222222-222-2-2-2-2-22222-2-2-2-22-222-2-2000000000000000000000000−2i−2i2i2i−2i2i−2i2i00000000
χ23222222-222-2-2-2-2-2-2-2-2-222222-2-2-2220000000000000000000000002i2i−2i−2i−2i2i−2i2i00000000
χ24222222-222-2-2-2-2-2-2-2-2-222222-2-2-222000000000000000000000000−2i−2i2i2i2i−2i2i−2i00000000
χ25222222-2-2-2-2-222-200000000-2200002222-2-2-2-20000000000002i2i−2i−2i00002i−2i−2i2i00000000
χ26222222-2-2-2-2-222-200000000-2200002222-2-2-2-2000000000000−2i−2i2i2i0000−2i2i2i−2i00000000
χ27222222-2-2-2-2-222-200000000-220000-2-2-2-222220000000000002i2i−2i−2i0000−2i2i2i−2i00000000
χ28222222-2-2-2-2-222-200000000-220000-2-2-2-22222000000000000−2i−2i2i2i00002i−2i−2i2i00000000
χ292222-2-2222-2-2-2-222222-2-2-2-2-22-2-222000000000000000022-2-22-22-20000000000000000
χ302222-2-2222-2-2-2-222222-2-2-2-2-22-2-2220000000000000000-2-222-22-220000000000000000
χ312222-2-2222-2-2-2-22-2-2-2-22222-2222-2-2000000000000000022-2-2-22-220000000000000000
χ322222-2-2222-2-2-2-22-2-2-2-22222-2222-2-20000000000000000-2-2222-22-20000000000000000
χ332222-2-22-2-2-2-2222000000002-2000022-2-222-2-2000000002-2-2200002-22-2000000000000
χ342222-2-22-2-2-2-2222000000002-2000022-2-222-2-200000000-222-20000-22-22000000000000
χ352222-2-22-2-2-2-2222000000002-20000-2-222-2-222000000002-2-220000-22-22000000000000
χ362222-2-22-2-2-2-2222000000002-20000-2-222-2-22200000000-222-200002-22-2000000000000
χ372222-2-2-2222222-222222222-2-2-2-2-2-222-2-2-2-22222-2-222-2-2000000000000000000000000
χ382222-2-2-2222222-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222000000000000000000000000
χ392222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-222-2-222000000000000000000000000
χ402222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222-2-222-2-2000000000000000000000000
χ412222-2-2-2-2-222-2-2-2000000002200000000000022-2-2-2-22200002i−2i−2i2i−2i2i2i−2i000000000000
χ422222-2-2-2-2-222-2-2-2000000002200000000000022-2-2-2-2220000−2i2i2i−2i2i−2i−2i2i000000000000
χ432222-2-2-2-2-222-2-2-20000000022000000000000-2-22222-2-200002i−2i−2i2i2i−2i−2i2i000000000000
χ442222-2-2-2-2-222-2-2-20000000022000000000000-2-22222-2-20000−2i2i2i−2i−2i2i2i−2i000000000000
χ4544-4-40004-400000000044-4-40000000022−2222−22000022−220022−22000000000000000000000000
χ4644-4-40004-400000000044-4-400000000−2222−22220000−222200−2222000000000000000000000000
χ4744-4-40004-4000000000-4-4440000000022−2222−220000−222200−2222000000000000000000000000
χ4844-4-40004-4000000000-4-44400000000−2222−2222000022−220022−22000000000000000000000000
χ4944-4-4000-440000044-4-400000000000022−22−2222000022−2200−2222000000000000000000000000
χ5044-4-4000-440000044-4-4000000000000−222222−220000−22220022−22000000000000000000000000
χ5144-4-4000-4400000-4-44400000000000022−22−22220000−22220022−22000000000000000000000000
χ5244-4-4000-4400000-4-444000000000000−222222−22000022−2200−2222000000000000000000000000
χ534-44-400000004-4022−2222−2222−2222−220000000000004i−4i2i2−2i2002i2−2i200000000000000000000000000
χ544-44-400000004-4022−2222−2222−2222−22000000000000−4i4i−2i22i200−2i22i200000000000000000000000000
χ554-44-400000004-40−2222−2222−2222−22220000000000004i−4i−2i22i200−2i22i200000000000000000000000000
χ564-44-400000004-40−2222−2222−2222−2222000000000000−4i4i2i2−2i2002i2−2i200000000000000000000000000
χ574-44-40000000-44022−2222−22−2222−22220000004i−4i0000002i2−2i200−2i22i200000000000000000000000000
χ584-44-40000000-44022−2222−22−2222−2222000000−4i4i000000−2i22i2002i2−2i200000000000000000000000000
χ594-44-40000000-440−2222−222222−2222−220000004i−4i000000−2i22i2002i2−2i200000000000000000000000000
χ604-44-40000000-440−2222−222222−2222−22000000−4i4i0000002i2−2i200−2i22i200000000000000000000000000
χ614-4-444-44004-400-422−22−222222−22−22220022−2222−220000000000000000000000000000000000000000
χ624-4-444-44004-400-4−222222−22−222222−2200−2222−22220000000000000000000000000000000000000000
χ634-4-444-4-400-4400422−22−2222−222222−220022−22−22220000000000000000000000000000000000000000
χ644-4-444-4-400-44004−222222−2222−22−222200−222222−220000000000000000000000000000000000000000
χ654-4-44-44400-4400-422−22−2222−222222−2200−222222−220000000000000000000000000000000000000000
χ664-4-44-44400-4400-4−222222−2222−22−22220022−22−22220000000000000000000000000000000000000000
χ674-4-44-44-4004-400422−22−222222−22−222200−2222−22220000000000000000000000000000000000000000
χ684-4-44-44-4004-4004−222222−22−222222−220022−2222−220000000000000000000000000000000000000000

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