Finite Group Databasebeta

← Group #294886

Character table — Group #294886

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444444444444888888888888888844444444244444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1-11
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-1111-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-1-1-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-11-1-1-111-1-11111-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-1-11111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11111-1-111-1-111-1-1-11
χ172222222222-2-222-2-222-2-222-2-2-2-2000000000000000022-2-20000200-200000000000000
χ182222222222-2-222-2-222-2-222-2-2-2-20000000000000000-2-2220000-200200000000000000
χ192222222222-2-222-2-2-2-222-2-222-2-2000000000000000022-2-20000-200200000000000000
χ202222222222-2-222-2-2-2-222-2-222-2-20000000000000000-2-2220000200-200000000000000
χ2122222222-2-222-2-2222222-2-2-2-2-2-20000000000000000000022-2-20-22000000000000000
χ2222222222-2-222-2-2222222-2-2-2-2-2-200000000000000000000-2-22202-2000000000000000
χ2322222222-2-222-2-222-2-2-2-22222-2-20000000000000000000022220-2-2000000000000000
χ2422222222-2-222-2-222-2-2-2-22222-2-200000000000000000000-2-2-2-2022000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000000000000000-222-20000000000
χ2922-2-2-2-222222-2-2-22-2000000002-2000000002222-2-2-2-22i−2i2i−2i000000000000002i−2i000000
χ3022-2-2-2-222222-2-2-22-2000000002-2000000002222-2-2-2-2−2i2i−2i2i00000000000000−2i2i000000
χ3122-2-2-2-222222-2-2-22-2000000002-200000000-2-2-2-222222i−2i2i−2i00000000000000−2i2i000000
χ3222-2-2-2-222222-2-2-22-2000000002-200000000-2-2-2-22222−2i2i−2i2i000000000000002i−2i000000
χ3322-2-2-2-22222-22-2-2-2200000000-222222-2-2-2-2000000002i−2i−2i2i0000000000002i−2i00000000
χ3422-2-2-2-22222-22-2-2-2200000000-222222-2-2-2-200000000−2i2i2i−2i000000000000−2i2i00000000
χ3522-2-2-2-22222-22-2-2-2200000000-22-2-2-2-22222000000002i−2i−2i2i000000000000−2i2i00000000
χ3622-2-2-2-22222-22-2-2-2200000000-22-2-2-2-2222200000000−2i2i2i−2i0000000000002i−2i00000000
χ372-2-2-222-22002200-2-200002-22-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-22-2000000000000i2−i2i2−i200
χ382-2-2-222-22002200-2-200002-22-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000-22-22000000000000−i2i2−i2i200
χ392-2-2-222-22002200-2-200002-22-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002-22-2000000000000−i2i2−i2i200
χ402-2-2-222-22002200-2-200002-22-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000-22-22000000000000i2−i2i2−i200
χ412-2-2-222-22002200-2-20000-22-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200002-2-22000000000000i2−i2−i2i200
χ422-2-2-222-22002200-2-20000-22-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000-222-2000000000000−i2i2i2−i200
χ432-2-2-222-22002200-2-20000-22-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200002-2-22000000000000−i2i2i2−i200
χ442-2-2-222-22002200-2-20000-22-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000-222-2000000000000i2−i2−i2i200
χ45444-44-4-4-400000000004-40000002-22-22-22-22-22-22-22-200000000000000000000000000
χ46444-44-4-4-400000000004-4000000-22-22-22-22-22-22-22-2200000000000000000000000000
χ47444-44-4-4-40000000000-440000002-22-22-22-2-22-22-22-2200000000000000000000000000
χ48444-44-4-4-40000000000-44000000-22-22-22-222-22-22-22-200000000000000000000000000
χ4944-44-44-4-4000000004-4000000002-22-2-22-222-22-2-22-2200000000000000000000000000
χ5044-44-44-4-4000000004-400000000-22-222-22-2-22-222-22-200000000000000000000000000
χ5144-44-44-4-400000000-44000000002-22-2-22-22-22-222-22-200000000000000000000000000
χ5244-44-44-4-400000000-4400000000-22-222-22-22-22-2-22-2200000000000000000000000000
χ5344-4-4-4-444-4-44-4444-400000000-44000000000000000000000000000000000000000000
χ5444-4-4-4-444-4-4-4444-44000000004-4000000000000000000000000000000000000000000
χ554-444-4-4-44004-400-440000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ564-444-4-4-44004-400-44000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ574-444-4-4-4400-44004-400000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ584-444-4-4-4400-44004-40000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ594-44-4-444-44-4004-4000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000
χ604-44-4-444-44-4004-400000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000
χ614-44-4-444-4-4400-440000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ624-44-4-444-4-4400-44000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ634-4-444-44-44-400-44000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ644-4-444-44-44-400-4400000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000
χ654-4-444-44-4-44004-40000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ664-4-444-44-4-44004-4000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ674-4-4-444-4400-4-4004400004-4-4400000000000000000000000000000000000000000000
χ684-4-4-444-4400-4-400440000-444-400000000000000000000000000000000000000000000

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