Finite Group Databasebeta

← Group #178614

Character table — Group #178614

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442224444222444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-11-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-11-1-11-1-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-111-1-111-1-1-1-1-111-111111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-111-1-1-1-11-111-1-1-111111-1-1-1-11111-1-1
χ811111111111111111-1-111-1-1-1-11-111-1-1-11-1-1-1-11111-1-1-1-111
χ91111111111-1-11111-111-1-1-1-11-1111-1-11-1-111-1-111-1-111-1-11-1
χ101111111111-1-11111-111-1-1-1-11-1111-1-11-1-1-1-111-1-111-1-111-11
χ111111111111-1-11111-111-1-1-1-1-11-11-11-1-11111-1-1-1-111-1-1111-1
χ121111111111-1-11111-111-1-1-1-1-11-11-11-1-111-1-11111-1-111-1-1-11
χ131111111111-1-11111-1-1-1-1-1111-1-1-1-1111-1111-1-111-1-1-1-111-11
χ141111111111-1-11111-1-1-1-1-1111-1-1-1-1111-11-1-111-1-11111-1-11-1
χ151111111111-1-11111-1-1-1-1-111-111-11-11-11-111-1-1-1-11111-1-1-11
χ161111111111-1-11111-1-1-1-1-111-111-11-11-11-1-1-11111-1-1-1-1111-1
χ17222222222-222-2-22-2-200-22000020-2-2000200000000000000
χ18222222222-222-2-22-2-200-220000-2022000-200000000000000
χ19222222222-2-2-2-2-22-22002-2000020-22000-200000000000000
χ20222222222-2-2-2-2-22-22002-20000-202-2000200000000000000
χ2122222222-2222-2-2-22200-2-2002-200000-22000000000000000
χ2222222222-2222-2-2-22200-2-200-22000002-2000000000000000
χ2322222222-22-2-2-2-2-22-20022002200000-2-2000000000000000
χ2422222222-22-2-2-2-2-22-2002200-2-20000022000000000000000
χ2522222222-2-22222-2-2-2222-2-2-2000-200200000000000000000
χ2622222222-2-22222-2-2-2-2-22-222000200-200000000000000000
χ2722222222-2-2-2-222-2-2222-2222000-200-200000000000000000
χ2822222222-2-2-2-222-2-22-2-2-22-2-2000200200000000000000000
χ2944-4-4-4-444004-4000000000000000000000000000002-22-200
χ3044-4-4-4-444004-400000000000000000000000000000-22-2200
χ3144-4-4-4-44400-44000000000000000000000000000002-2-2200
χ3244-4-4-4-44400-4400000000000000000000000000000-222-200
χ334-444-4-4-44400000-40000000000000000002i2−2i2000000000000
χ344-444-4-4-44400000-4000000000000000000−2i22i2000000000000
χ354-444-4-4-44-40000040000000000000000000022−220000000000
χ364-444-4-4-44-400000400000000000000000000−22220000000000
χ374-44-44-44-40400000-4000000000000000000000002i2−2i2000000
χ384-44-44-44-40400000-400000000000000000000000−2i22i2000000
χ394-44-44-44-40-400000400000000000000000000022−2200000000
χ404-44-44-44-40-4000004000000000000000000000−222200000000
χ414-4-4-444-4400004-400000004-4000000000000000000000000
χ424-4-4-444-4400004-40000000-44000000000000000000000000
χ434-4-4-444-440000-440004-40000000000000000000000000000
χ444-4-4-444-440000-44000-440000000000000000000000000000
χ45888-8-88-8-8000000000000000000000000000000000000000
χ4688-888-8-8-8000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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