Finite Group Databasebeta

← Group #346178

Character table — Group #346178

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222224444888888161616161616161616161616161616161616161616323232
order12222244444444444488224444448888888888888488
χ111111111111111111111111111111111111111111111
χ2111111111111111111111-11-11111111-1-1-1-1-1-1-1-1-1-11-1-1
χ3111111111111111111-1-1-1111-1111-1-1-1-1-111-1-111-1-1-11-1
χ4111111111111111111-1-1-1-11-1-1111-1-1-111-1-111-1-111-1-11
χ51111111111111111-1-11111111-1-1-11-1-111-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-1111-11-11-1-1-11-1-1-1-111111111-1-1-1
χ71111111111111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1
χ81111111111111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-11-11
χ911111111111111-1-11111-11-11-11-1-11111111-1-1-1-111-1-1-1
χ1011111111111111-1-11111-1-1-1-1-11-1-1111-1-1-1-11111-1-1-111
χ1111111111111111-1-111-1-111-1111-1-1-1-1-1-1-11111-1-1-1-11-11
χ1211111111111111-1-111-1-11-1-1-111-1-1-1-1-111-1-1-1-1111111-1
χ1311111111111111-1-1-1-111-11-11-1-1111-1-111-1-11111-1-11-1-1
χ1411111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111
χ1511111111111111-1-1-1-1-1-111-111-111-111-1-1-1-1-1-11111-1-11
χ1611111111111111-1-1-1-1-1-11-1-1-11-111-111111111-1-1-1-1-11-1
χ172222222222-2-2-2-2220022-20-202000-2000000000000000
χ182222222222-2-2-2-22200-2-220-20-20002000000000000000
χ192222222222-2-2-2-2-2-200222020-2000-2000000000000000
χ202222222222-2-2-2-2-2-200-2-2-202020002000000000000000
χ21222222-2-2-2-222-2-200220000000-2000002i−2i0000002i−2i000
χ22222222-2-2-2-222-2-200220000000-200000−2i2i000000−2i2i000
χ23222222-2-2-2-222-2-200-2-200000002000002i−2i000000−2i2i000
χ24222222-2-2-2-222-2-200-2-20000000200000−2i2i0000002i−2i000
χ252222-2-22-22-22-22-2000000020-2002i−2i0000000002i−2i00000
χ262222-2-22-22-22-22-2000000020-200−2i2i000000000−2i2i00000
χ272222-2-22-22-22-22-20000000-202002i−2i000000000−2i2i00000
χ282222-2-22-22-22-22-20000000-20200−2i2i0000000002i−2i00000
χ29444444-4-4-4-4-4-444000000000000000000000000000000
χ304444-4-44-44-4-44-44000000000000000000000000000000
χ314444-4-4-44-444-4-44000000000000000000000000000000
χ324444-4-4-44-44-444-4000000000000000000000000000000
χ334-44-44-444-4-40000000000000000000000022−22000000000
χ344-44-44-444-4-400000000000000000000000−2222000000000
χ354-44-44-4-4-444000000004-4000000000000000000000000
χ364-44-44-4-4-44400000000-44000000000000000000000000
χ374-44-4-444-4-4400004i−4i0000000000000000000000000000
χ384-44-4-444-4-440000−4i4i0000000000000000000000000000
χ394-44-4-44-444-400000000000000000000000002i2−2i20000000
χ404-44-4-44-444-40000000000000000000000000−2i22i20000000
χ4188-8-8000000000000000000000000022−220000000000000
χ4288-8-80000000000000000000000000−22220000000000000
χ438-8-880000000000004-400000000000000000000000000
χ448-8-88000000000000-4400000000000000000000000000

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