Finite Group Databasebeta

← Group #179153

Character table — Group #179153

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442244444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-11-1-1-1-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-11-1-1111-11-11-1-1-1-111111-1-1-1-11111-1-1
χ61111111111111111-1-11-1-1111-11-11-1-1-1-11-1-1-1-11111-1-1-1-111
χ71111111111111111-1-11-1-111-11-1-1-1111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-11-1-111-11-1-1-1111-1-1-1-1-1-111111111-1-1
χ911111111111-1-111111-1-1-1-1-1111-1-11-1-11-111-1-111-1-111-1-11-1
χ1011111111111-1-111111-1-1-1-1-1111-1-11-1-11-1-1-111-1-111-1-111-11
χ1111111111111-1-111111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-111-11
χ1211111111111-1-111111-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11-1
χ1311111111111-1-1111-1-1-111-1-11-111-1-111-1-111-1-1-1-11111-1-1-11
χ1411111111111-1-1111-1-1-111-1-11-111-1-111-1-1-1-11111-1-1-1-1111-1
χ1511111111111-1-1111-1-1-111-1-1-11-1111-1-1-1111-1-1-1-111-1-1111-1
χ1611111111111-1-1111-1-1-111-1-1-11-1111-1-1-11-1-11111-1-111-1-1-11
χ17222222222-2-2222-2-2222-2-2-2-200020000-2000000000000000
χ18222222222-2-2222-2-2-2-2222-2-2000-200002000000000000000
χ19222222222-2-2-2-22-2-222-22222000-20000-2000000000000000
χ20222222222-2-2-2-22-2-2-2-2-2-2-222000200002000000000000000
χ2122222222-22-222-22-200-200-2220-2020000-200000000000000
χ2222222222-22-222-22-200-200-22-2020-20000200000000000000
χ2322222222-22-2-2-2-22-2002002-220-20-20000200000000000000
χ2422222222-22-2-2-2-22-2002002-2-202020000-200000000000000
χ2522222222-2-2222-2-2200-2002-202000-22-20000000000000000
χ2622222222-2-2222-2-2200-2002-20-20002-220000000000000000
χ2722222222-2-22-2-2-2-2200200-2202000-2-220000000000000000
χ2822222222-2-22-2-2-2-2200200-220-200022-20000000000000000
χ29444-44-4-4-440000-4004-400000000000000000000000000000
χ30444-44-4-4-440000-400-4400000000000000000000000000000
χ31444-44-4-4-4-400004000004i−4i00000000000000000000000000
χ32444-44-4-4-4-40000400000−4i4i00000000000000000000000000
χ334-444-4-44-40004i−4i0000000000000000000000002-22i−2i000000
χ344-444-4-44-40004i−4i000000000000000000000000-22−2i2i000000
χ354-444-4-44-4000−4i4i0000000000000000000000002-2−2i2i000000
χ364-444-4-44-4000−4i4i000000000000000000000000-222i−2i000000
χ374-44-4-44-440040000-400000000000000000000000002i2−2i20000
χ384-44-4-44-440040000-40000000000000000000000000−2i22i20000
χ394-44-4-44-4400-40000400000000000000000000000000022−2200
χ404-44-4-44-4400-400004000000000000000000000000000−222200
χ414-4-444-4-44040000-40000000000000000002i2−2i2000000000000
χ424-4-444-4-44040000-4000000000000000000−2i22i2000000000000
χ434-4-444-4-440-4000040000000000000000000022−220000000000
χ444-4-444-4-440-40000400000000000000000000−22220000000000
χ4588-88-88-8-8000000000000000000000000000000000000000
χ4688-8-8-8-888000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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