Finite Group Databasebeta

← Group #145272

Character table — Group #145272

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444444444488888888816161616161616163232323232323232
order12224444244448888888161616161616161624881616161624888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ92222222222222-2-2-2-2-2-2-20000000022-2-2000000000000
χ102222222222222-2-2-2-2-2-2-200000000-2-222000000000000
χ1122222222-2-22-2-222-222-2-20000000000000000002-20000
χ1222222222-2-22-2-222-222-2-2000000000000000000-220000
χ1322222222-2-22-2-2-2-22-2-22200000000000000002-2000000
χ1422222222-2-22-2-2-2-22-2-2220000000000000000-22000000
χ1522222-22-222-2-2-2222-2-22-200000000000000000000002i−2i
χ1622222-22-222-2-2-2222-2-22-20000000000000000000000−2i2i
χ1722222-22-222-2-2-2-2-2-222-22000000000000000000002i−2i00
χ1822222-22-222-2-2-2-2-2-222-2200000000000000000000−2i2i00
χ1922222-22-2-2-2-22222-2-2-2-220000000000002i2i−2i−2i00000000
χ2022222-22-2-2-2-22222-2-2-2-22000000000000−2i−2i2i2i00000000
χ2122222-22-2-2-2-222-2-22222-22222-2-2-2-20000000000000000
χ2222222-22-2-2-2-222-2-22222-2-2-2-2-222220000000000000000
χ232222-22-222-2-2-22000000022−2−222−2−22-2002−22−200000000
χ242222-22-222-2-2-22000000022−2−222−2−2-2200−22−2200000000
χ252222-22-222-2-2-220000000−2−222−2−2222-200−22−2200000000
χ262222-22-222-2-2-220000000−2−222−2−222-22002−22−200000000
χ272222-2-2-2-2-222-22000000022−2−2−2−222002i−2ii2−i2−i2i200000000
χ282222-2-2-2-2-222-22000000022−2−2−2−22200−2i2i−i2i2i2−i200000000
χ292222-2-2-2-2-222-220000000−2−22222−2−2002i−2i−i2i2i2−i200000000
χ302222-2-2-2-2-222-220000000−2−22222−2−200−2i2ii2−i2−i2i200000000
χ314444-44-44-44-44-40000000000000000000000000000000
χ324444-4-4-4-44-444-40000000000000000000000000000000
χ334-44-440-40000004i−4i000002-22-22i−2i2i−2i0000000000000000
χ344-44-440-40000004i−4i00000-22-22−2i2i−2i2i0000000000000000
χ354-44-440-4000000−4i4i000002-22-2−2i2i−2i2i0000000000000000
χ364-44-440-4000000−4i4i00000-22-222i−2i2i−2i0000000000000000
χ374-44-4-40400000000400-4000002i2−2i2−2i22i20000000000000000
χ384-44-4-40400000000400-400000−2i22i22i2−2i20000000000000000
χ394-44-4-40400000000-4004022−22−222200000000000000000000
χ404-44-4-40400000000-40040−222222−2200000000000000000000
χ4188-8-8080-8000000000000000000000000000000000000
χ4288-8-80-808000000000000000000000000000000000000
χ438-8-8800000000000042−4200000000000000000000000000
χ448-8-88000000000000−424200000000000000000000000000

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