Finite Group Databasebeta

← Group #296002

Character table — Group #296002

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444444444444444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111
χ51111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-111
χ91111111111111111-1-1-1-11-1-11-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11-1
χ101111111111111111-1-1-1-11-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-11
χ111111111111111111-1-1-1-11-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-1111-1-1-111-11
χ121111111111111111-1-1-1-11-1-11-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-111-1-11-1
χ131111111111111111-1-1-1-11-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1111-1
χ141111111111111111-1-1-1-11-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-1-11
χ151111111111111111-1-1-1-11-1-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-11
χ161111111111111111-1-1-1-11-1-11-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-11-1-11-1-1111-1
χ172222222222-2-222-2-222-2-2-222-2-2000022-2-2000000000000000000000-22000000000
χ182222222222-2-222-2-222-2-2-222-2-20000-2-2220000000000000000000002-2000000000
χ192222222222-2-222-2-2-2-222-2-2-2-2200002222000000000000000000000-2-2000000000
χ202222222222-2-222-2-2-2-222-2-2-2-220000-2-2-2-200000000000000000000022000000000
χ2122222222-2-222-2-22222-2-2-2-2-2-2222-2-2000000000000000000000000-200002000000
χ2222222222-2-222-2-22222-2-2-2-2-2-22-2-22200000000000000000000000020000-2000000
χ2322222222-2-222-2-222-2-222-222-2-22222000000000000000000000000-20000-2000000
χ2422222222-2-222-2-222-2-222-222-2-2-2-2-2-2000000000000000000000000200002000000
χ2522222222-2-2-2-2-2-2-2-222222-2-22-20000000022-2-200000000000000000002-20000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-200000000-2-2220000000000000000000-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222220000000022-2-20000000000000000000-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222200000000-2-22200000000000000000002-20000000
χ2922-2-22-2-22002200-2-2002-202-2002i−2i2i−2i00000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000
χ3022-2-22-2-22002200-2-2002-202-2002i−2i2i−2i00000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000
χ3122-2-22-2-22002200-2-2002-202-200−2i2i−2i2i00000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000
χ3222-2-22-2-22002200-2-2002-202-200−2i2i−2i2i00000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000
χ3322-2-22-2-22002200-2-200-220-22002i−2i−2i2i00000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000
χ3422-2-22-2-22002200-2-200-220-22002i−2i−2i2i00000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000
χ3522-2-22-2-22002200-2-200-220-2200−2i2i2i−2i00000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000
χ3622-2-22-2-22002200-2-200-220-2200−2i2i2i−2i00000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000
χ372-2-2-2222-22-22-22-22-20000-20020000000002i−2i2i−2i00002i−2i2i−2i00000000000000002-200
χ382-2-2-2222-22-22-22-22-20000-20020000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000-2200
χ392-2-2-2222-22-22-22-22-20000-2002000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000-2200
χ402-2-2-2222-22-22-22-22-20000-2002000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000002-200
χ412-2-2-2222-2-22-22-22-220000-20020000000002i−2i−2i2i2i−2i2i−2i0000000000000000002-20000
χ422-2-2-2222-2-22-22-22-220000-20020000000002i−2i−2i2i−2i2i−2i2i000000000000000000-220000
χ432-2-2-2222-2-22-22-22-220000-2002000000000−2i2i2i−2i2i−2i2i−2i000000000000000000-220000
χ442-2-2-2222-2-22-22-22-220000-2002000000000−2i2i2i−2i−2i2i−2i2i0000000000000000002-20000
χ45444-4-44-4-4000000004-40000000000000000000000000002-22-22-22-2000000000000
χ46444-4-44-4-4000000004-4000000000000000000000000000-22-22-22-22000000000000
χ47444-4-44-4-400000000-440000000000000000000000000002-22-2-22-22000000000000
χ48444-4-44-4-400000000-44000000000000000000000000000-22-222-22-2000000000000
χ4944-44-4-44-44-400-440000000000000000000000000000000000022−22−2222000000000000
χ5044-44-4-44-44-400-4400000000000000000000000000000000000−222222−22000000000000
χ5144-44-4-44-4-44004-4000000000000000000000000000000022−22−22220000000000000000
χ5244-44-4-44-4-44004-40000000000000000000000000000000−222222−220000000000000000
χ5344-4-44-4-4400-4-40044004-40-44000000000000000000000000000000000000000000
χ5444-4-44-4-4400-4-4004400-4404-4000000000000000000000000000000000000000000
χ554-4444-4-4-4004-400-44000000000000000000000000022−22−222200000000000000000000
χ564-4444-4-4-4004-400-440000000000000000000000000−222222−2200000000000000000000
χ574-4444-4-4-400-44004-400000000000000000000022−22−2222000000000000000000000000
χ584-4444-4-4-400-44004-4000000000000000000000−222222−22000000000000000000000000
χ594-44-4-4-4444400-4-40000000000000004i−4i0000000000000000000000000000000000
χ604-44-4-4-4444400-4-4000000000000000−4i4i0000000000000000000000000000000000
χ614-44-4-4-444-4-40044000000000000000004-400000000000000000000000000000000
χ624-44-4-4-444-4-4004400000000000000000-4400000000000000000000000000000000
χ634-4-4-4444-44-4-444-4-440000400-400000000000000000000000000000000000000000
χ644-4-4-4444-4-444-4-444-40000400-400000000000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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