Finite Group Databasebeta

← Group #346660

Character table — Group #346660

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444442244444444444444222244444444444444444888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ91111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-111-1-11111-1-1111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-111-1-11111-1-111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111-1
χ172222222222-2-222-2-22222-2-200000000-2-2000022-2-2-200000000-2-222000000000000000000
χ182222222222-2-222-2-22222-2-200000000-2-20000-2-222-20000000022-2-2000000000000000000
χ192222222222-2-222-2-2-2-2-2-22200000000-2-200002222200000000-2-2-2-2000000000000000000
χ202222222222-2-222-2-2-2-2-2-22200000000-2-20000-2-2-2-22000000002222000000000000000000
χ2122222222-2-222-2-22222-2-22222222222-2-200000000-2-2-2-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-222-2-2-2-2-2-2-2-2-2-200000000-2222200000000000000000000000000
χ2322222222-2-222-2-222-2-222-2-22222-2-2-2-2-2-2000000002-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-2-22222-2-200000000222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2000000002222-2-200002000022-2-20000000000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-20000000022-2-222000020000-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000002222-2-20000-20000-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000000022-2-2220000-2000022-2-20000000000000000000000
χ2922-2-22-22-2002200-2-22-2002-22i2i−2i−2i2i2i−2i−2i0000000000000000000000022−2−222−2−2i2−i2i2−i2000000
χ3022-2-22-22-2002200-2-22-2002-22i2i−2i−2i2i2i−2i−2i00000000000000000000000−2−222−2−222−i2i2−i2i2000000
χ3122-2-22-22-2002200-2-22-2002-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000022−2−222−2−2−i2i2−i2i2000000
χ3222-2-22-22-2002200-2-22-2002-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000−2−222−2−222i2−i2i2−i2000000
χ3322-2-22-22-2002200-2-2-2200-222i2i−2i−2i−2i−2i2i2i0000000000000000000000022−2−2−2−222i2−i2−i2i2000000
χ3422-2-22-22-2002200-2-2-2200-222i2i−2i−2i−2i−2i2i2i00000000000000000000000−2−22222−2−2−i2i2i2−i2000000
χ3522-2-22-22-2002200-2-2-2200-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000022−2−2−2−222−i2i2i2−i2000000
χ3622-2-22-22-2002200-2-2-2200-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000−2−22222−2−2i2−i2−i2i2000000
χ372-2-2-2-22222-22-22-22-200000000002-22-22-200002-2000002-22-22-22-200000000000000000000
χ382-2-2-2-22222-22-22-22-200000000002-22-22-20000-22000002-2-22-22-2200000000000000000000
χ392-2-2-2-22222-22-22-22-20000000000-22-222-200002-200000-22-22-222-200000000000000000000
χ402-2-2-2-22222-22-22-22-20000000000-22-222-20000-2200000-222-22-2-2200000000000000000000
χ412-2-2-2-22222-2-222-2-220000002-22-20000-222-22-22-20002-2000000-2200000000000000000000
χ422-2-2-2-22222-2-222-2-220000002-22-20000-22-22-22-220002-20000002-200000000000000000000
χ432-2-2-2-22222-2-222-2-22000000-22-220000-222-22-2-22000-220000002-200000000000000000000
χ442-2-2-2-22222-2-222-2-22000000-22-220000-22-22-222-2000-22000000-2200000000000000000000
χ452-2-2-2-2222-222-2-222-200000000002-22-2-222-2-22002-2000-220000002-2000000000000000000
χ462-2-2-2-2222-222-2-222-200000000002-22-2-22-222-200-22000-22000000-22000000000000000000
χ472-2-2-2-2222-222-2-222-20000000000-22-22-222-2-2200-220002-2000000-22000000000000000000
χ482-2-2-2-2222-222-2-222-20000000000-22-22-22-222-2002-20002-20000002-2000000000000000000
χ492-2-2-2-2222-22-22-22-220000002-22-200002-20000002-20-2200-222-200-22000000000000000000
χ502-2-2-2-2222-22-22-22-220000002-22-200002-2000000-220-22002-2-22002-2000000000000000000
χ512-2-2-2-2222-22-22-22-22000000-22-2200002-20000002-202-2002-2-2200-22000000000000000000
χ522-2-2-2-2222-22-22-22-22000000-22-2200002-2000000-2202-200-222-2002-2000000000000000000
χ53444-4-44-4-44400-4-400000000000000000000000000000000000000022−2222−2200000000000000
χ54444-4-44-4-44400-4-4000000000000000000000000000000000000000−2222−222200000000000000
χ55444-4-44-4-4-4-4004400000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ56444-4-44-4-4-4-400440000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ5744-44-4-4-4400000000004i−4i0000000000000000000000000000000002-2-222i−2i−2i2i0000000000
χ5844-44-4-4-4400000000004i−4i000000000000000000000000000000000-222-2−2i2i2i−2i0000000000
χ5944-44-4-4-440000000000−4i4i0000000000000000000000000000000002-2-22−2i2i2i−2i0000000000
χ6044-44-4-4-440000000000−4i4i000000000000000000000000000000000-222-22i−2i−2i2i0000000000
χ6144-4-44-44-400-4-400444-400-440000000000000000000000000000000000000000000000000
χ6244-4-44-44-400-4-40044-44004-40000000000000000000000000000000000000000000000000
χ634-444-4-44-4004-400-4400000000004i−4i−4i4i00000000000000000000000000000000000000000
χ644-444-4-44-4004-400-440000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ654-444-4-44-400-44004-40000004i−4i−4i4i000000000000000000000000000000000000000000000
χ664-444-4-44-400-44004-4000000−4i4i4i−4i000000000000000000000000000000000000000000000
χ674-4-4444-4-44-400-440000000000000000000000000000000000000000000000000002i2−2i20000
χ684-4-4444-4-44-400-44000000000000000000000000000000000000000000000000000−2i22i20000
χ694-4-4444-4-4-44004-4000000000000000000000000000000000000000000000000000002i2−2i200
χ704-4-4444-4-4-44004-400000000000000000000000000000000000000000000000000000−2i22i200
χ718-88-88-8-88000000000000000000000000000000000000000000000000000000000000000

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