Finite Group Databasebeta

← Group #328397

Character table — Group #328397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442224444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-11-1-111-111-1-11-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-11-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1
χ51111111111111111111111-1-11111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-11-1-11-1-1-1-1-111-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-11-1-111-1-1-1-1-11-1-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-111-1-1-1-111111111
χ9111111111111-1-111-1-111-1-111111-1-11-1-1-11-1-11-111-1-111-1-111-1-1
χ10111111111111-1-111-1-111-1-1111-1-1-11-11-1-11-11-11-1-11111-1-1-1-111
χ11111111111111-1-111-1-111-1-111-11-11-111-1-1-11-1-11-1-111-1-11111-1-1
χ12111111111111-1-111-1-111-1-111-1-1111-1-1-1-1-1111-111-1-1-1-111-1-111
χ13111111111111-1-111-1-111-1-1-1-1111-1-11-1111-1-11-1-1-111-1-111-1-111
χ14111111111111-1-111-1-111-1-1-1-11-1-1-11-11111-11-1111-1-1-1-11111-1-1
χ15111111111111-1-111-1-111-1-1-1-1-11-11-11111-11-1-1111-1-111-1-1-1-111
χ16111111111111-1-111-1-111-1-1-1-1-1-1111-1-111-1111-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-22-200002000200000-2-2000000000000
χ1822222222222222-2-2-2-2-2-22-20000-2000-20000022000000000000
χ19222222222222-2-2-2-222-2-2-2200002000-200000-22000000000000
χ20222222222222-2-2-2-222-2-2-220000-20002000002-2000000000000
χ2122222222-2-2-2-2222-2222-2-2-20002002-200000-200000000000000
χ2222222222-2-2-2-2222-2222-2-2-2000-200-2200000200000000000000
χ2322222222-2-2-2-222-22-2-2-22-2200200200000-2-2000000000000000
χ2422222222-2-2-2-222-22-2-2-22-2200-200-20000022000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-222000200-2-200000200000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-222000-2002200000-200000000000000
χ2722222222-2-2-2-2-2-2-2222-222-200200-200000-22000000000000000
χ2822222222-2-2-2-2-2-2-2222-222-200-2002000002-2000000000000000
χ29444-4-4-44-400004i−4i0000000000000000000000002-22i−2i00000000
χ30444-4-4-44-400004i−4i000000000000000000000000-22−2i2i00000000
χ31444-4-4-44-40000−4i4i0000000000000000000000002-2−2i2i00000000
χ32444-4-4-44-40000−4i4i000000000000000000000000-222i−2i00000000
χ3344-44-4-4-444-44-40000000000000000000000000000000000002i2−2i2
χ3444-44-4-4-444-44-4000000000000000000000000000000000000−2i22i2
χ3544-44-4-4-44-44-4400000000000000000000000000000000002i2−2i200
χ3644-44-4-4-44-44-440000000000000000000000000000000000−2i22i200
χ3744-4-444-4-4000000004i−4i00002-200000002i−2i00000000000000000
χ3844-4-444-4-4000000004i−4i0000-220000000−2i2i00000000000000000
χ3944-4-444-4-400000000−4i4i00002-20000000−2i2i00000000000000000
χ4044-4-444-4-400000000−4i4i0000-2200000002i−2i00000000000000000
χ414-44-4-44-4444-4-4004400-4-4000000000000000000000000000000
χ424-44-4-44-4444-4-400-4-40044000000000000000000000000000000
χ434-44-4-44-44-4-444004-400-44000000000000000000000000000000
χ444-44-4-44-44-4-44400-44004-4000000000000000000000000000000
χ454-4-4-44-4444-4-4400000000000000000000000000000022−22000000
χ464-4-4-44-4444-4-44000000000000000000000000000000−2222000000
χ474-4-4-44-444-444-40000000000000000000000000000000022−220000
χ484-4-4-44-444-444-400000000000000000000000000000000−22220000
χ498-8888-8-8-8000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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