Finite Group Databasebeta

← Group #145525

Character table — Group #145525

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122222244444444888888888816161616161616163232323232323232
order1222448888244444884444888888161616161616161644448888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ5111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ922222222222-2-22-2-2220000-2-2000022-2-2000000000000
χ1022222222222-2-22-2-2220000-2-20000-2-222000000000000
χ112222222222-22-2-22-2-2-200002-2000000000000020-20000
χ122222222222-22-2-22-2-2-200002-20000000000000-2020000
χ132222222222-2-22-2-22-2-20000-2200000000000020-200000
χ142222222222-2-22-2-22-2-20000-22000000000000-20200000
χ15222222-2-2-2-2222222-2-22222-2-2-2-2-2-20000000000000000
χ16222222-2-2-2-2222222-2-2-2-2-2-2-2-222220000000000000000
χ17222222-2-2-2-22-2-22-2-2-2-2000022000000002i2i−2i−2i00000000
χ18222222-2-2-2-22-2-22-2-2-2-200002200000000−2i−2i2i2i00000000
χ19222222-2-2-2-2-22-2-22-2220000-220000000000000000002i−2i
χ20222222-2-2-2-2-22-2-22-2220000-22000000000000000000−2i2i
χ21222222-2-2-2-2-2-22-2-222200002-200000000000000002i−2i00
χ22222222-2-2-2-2-2-22-2-222200002-20000000000000000−2i2i00
χ232222-2-20000-2222-2-2002i2i−2i−2i0000002−22−2i2−i2i2−i200000000
χ242222-2-20000-2222-2-2002i2i−2i−2i000000−22−22−i2i2−i2i200000000
χ252222-2-20000-2222-2-200−2i−2i2i2i0000002−22−2−i2i2−i2i200000000
χ262222-2-20000-2222-2-200−2i−2i2i2i000000−22−22i2−i2i2−i200000000
χ272222-2-20000-2-2-22220000000022-2-22−2−222−2−2200000000
χ282222-2-20000-2-2-22220000000022-2-2−222−2−222−200000000
χ292222-2-20000-2-2-222200000000-2-2222−2−22−222−200000000
χ302222-2-20000-2-2-222200000000-2-222−222−22−2−2200000000
χ314444-4-4000044-4-4-440000000000000000000000000000
χ324444-4-400004-44-44-40000000000000000000000000000
χ334-4-444-400000000004i−4i2-22-2002i−2i2i−2i0000000000000000
χ344-4-444-400000000004i−4i-22-2200−2i2i−2i2i0000000000000000
χ354-4-444-40000000000−4i4i2-22-200−2i2i−2i2i0000000000000000
χ364-4-444-40000000000−4i4i-22-22002i−2i2i−2i0000000000000000
χ374-4-44-4444-4-4000000002i−2i−2i2i002i−2i−2i2i0000000000000000
χ384-4-44-4444-4-400000000−2i2i2i−2i00−2i2i2i−2i0000000000000000
χ394-4-44-44-4-444000000002i−2i−2i2i00−2i2i2i−2i0000000000000000
χ404-4-44-44-4-44400000000−2i2i2i−2i002i−2i−2i2i0000000000000000
χ4188-8-80042−4242−420000000000000000000000000000000000
χ4288-8-800−4242−42420000000000000000000000000000000000
χ438-88-80042−42−42420000000000000000000000000000000000
χ448-88-800−424242−420000000000000000000000000000000000

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