Finite Group Databasebeta

← Group #349006

Character table — Group #349006

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444442222444444444444224444444444444444444888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ6111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ91111111111111111-1-1-1-11111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-11111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-11111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ131111111111111111-1-1-1-11-1-1-1-1-1-11111111-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-1-1-11111111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-20000-222-2-2220000-222-2002200-2-20000-2-20000000000000000000000
χ182222222222-2-222-2-20000-222-2-2220000-2-2-2-200-2-200220000220000000000000000000000
χ192222222222-2-222-2-20000-2-2-222-2-20000-222200-2-200-2-20000220000000000000000000000
χ202222222222-2-222-2-20000-2-2-222-2-20000-2-2-22002200220000-2-20000000000000000000000
χ2122222222-2-222-2-2222222-222-2-2-2-2-2-2-2-2-20022200-2-2000000000000000000000000000000
χ2222222222-2-222-2-2222222-2-2-222222222-200-2-2-200-2-2000000000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-2-222-2-2-2-22222-2002-2-20022000000000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-22222-2-2-2-2-200-2220022000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2000022222-2-20000200-20000000022-2-20022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-2000022222-2-20000200-200000000-2-22200-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-200002-2-2-2-222000020020000000022-2-200-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-200002-2-2-2-2220000200200000000-2-2220022-2-2000000000000000000
χ2922-22-22-2-2002-2002-222-2-20002i−2i2i−2i2i2i−2i−2i000000000000000000000022−2−2i2i2−i2−i22−2i2−i2000000
χ3022-22-22-2-2002-2002-222-2-20002i−2i2i−2i2i2i−2i−2i0000000000000000000000−2−222−i2−i2i2i2−22−i2i2000000
χ3122-22-22-2-2002-2002-222-2-2000−2i2i−2i2i−2i−2i2i2i000000000000000000000022−2−2−i2−i2i2i22−2−i2i2000000
χ3222-22-22-2-2002-2002-222-2-2000−2i2i−2i2i−2i−2i2i2i0000000000000000000000−2−222i2i2−i2−i2−22i2−i2000000
χ3322-22-22-2-2002-2002-2-2-2220002i−2i2i−2i−2i−2i2i2i000000000000000000000022−2−2i2i2−i2−i2−22−i2i2000000
χ3422-22-22-2-2002-2002-2-2-2220002i−2i2i−2i−2i−2i2i2i0000000000000000000000−2−222−i2−i2i2i22−2i2−i2000000
χ3522-22-22-2-2002-2002-2-2-222000−2i2i−2i2i2i2i−2i−2i000000000000000000000022−2−2−i2−i2i2i2−22i2−i2000000
χ3622-22-22-2-2002-2002-2-2-222000−2i2i−2i2i2i2i−2i−2i0000000000000000000000−2−222i2i2−i2−i22−2−i2i2000000
χ372-22-2-222-22222-2-2-2-20000-20000002i−2i2i−2i20002i−2i2i−2i00002-22-22i−2i0000000000000000000000
χ382-22-2-222-22222-2-2-2-20000-20000002i−2i2i−2i20002i−2i−2i2i0000-22-22−2i2i0000000000000000000000
χ392-22-2-222-22222-2-2-2-20000-2000000−2i2i−2i2i2000−2i2i2i−2i0000-22-222i−2i0000000000000000000000
χ402-22-2-222-22222-2-2-2-20000-2000000−2i2i−2i2i2000−2i2i−2i2i00002-22-2−2i2i0000000000000000000000
χ412-22-2-222-222-2-2-2-2222-22-220000000000-2000002i−2i2-2000000−2i2i2i−2i2i−2i000000000000000000
χ422-22-2-222-222-2-2-2-2222-22-220000000000-200000−2i2i2-20000002i−2i−2i2i−2i2i000000000000000000
χ432-22-2-222-222-2-2-2-222-22-2220000000000-2000002i−2i-22000000−2i2i−2i2i−2i2i000000000000000000
χ442-22-2-222-222-2-2-2-222-22-2220000000000-200000−2i2i-220000002i−2i2i−2i2i−2i000000000000000000
χ452-22-2-222-2-2-22222-2-2000020000002i−2i2i−2i-22-20−2i2i00002-20000002i−2i−2i2i000000000000000000
χ462-22-2-222-2-2-22222-2-2000020000002i−2i2i−2i-2-220−2i2i0000-22000000−2i2i2i−2i000000000000000000
χ472-22-2-222-2-2-22222-2-200002000000−2i2i−2i2i-22-202i−2i00002-2000000−2i2i2i−2i000000000000000000
χ482-22-2-222-2-2-22222-2-200002000000−2i2i−2i2i-2-2202i−2i0000-220000002i−2i−2i2i000000000000000000
χ492-22-2-222-2-2-2-2-222222-22-2-2000000000022-200000-22-22-222-2000000000000000000000000
χ502-22-2-222-2-2-2-2-222222-22-2-200000000002-2200000-222-22-2-22000000000000000000000000
χ512-22-2-222-2-2-2-2-22222-22-22-2000000000022-2000002-2-222-2-22000000000000000000000000
χ522-22-2-222-2-2-2-2-22222-22-22-200000000002-22000002-22-2-222-2000000000000000000000000
χ53444-4-4-4-4400000000000004i−4i0000000000000000000000000000002i−2i2i−2i2-22-20000000000
χ54444-4-4-4-4400000000000004i−4i000000000000000000000000000000−2i2i−2i2i-22-220000000000
χ55444-4-4-4-440000000000000−4i4i0000000000000000000000000000002i−2i2i−2i-22-220000000000
χ56444-4-4-4-440000000000000−4i4i000000000000000000000000000000−2i2i−2i2i2-22-20000000000
χ5744-44-44-4-400-4400-4400000004i−4i−4i4i00000000000000000000000000000000000000000000
χ5844-44-44-4-400-4400-440000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ5944-4-44-44-44-4004-400000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ6044-4-44-44-44-4004-40000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ6144-4-44-44-4-4400-440000000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ6244-4-44-44-4-4400-44000000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-44-4-4444-400-4400000000000000000000000000000000000000000000000000022−220000
χ644-4-44-4-4444-400-44000000000000000000000000000000000000000000000000000−22220000
χ654-4-44-4-444-44004-40000000000000000000000000000000000000000000000000000022−2200
χ664-4-44-4-444-44004-400000000000000000000000000000000000000000000000000000−222200
χ674-4-4-444-44004-400-44000000000004-4-440000000000000000000000000000000000000000
χ684-4-4-444-44004-400-4400000000000-444-40000000000000000000000000000000000000000
χ694-4-4-444-4400-44004-44-4-44000000000000000000000000000000000000000000000000000
χ704-4-4-444-4400-44004-4-444-4000000000000000000000000000000000000000000000000000
χ718-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000

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