Finite Group Databasebeta

← Group #348951

Character table — Group #348951

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444222244444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111111111111-1-1-1-111111-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-111111-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-11111-1-1-11
χ121111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1111-1
χ131111111111111111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-11-1-1-1-11111-1-111111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ151111111111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-11
χ161111111111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-11-1
χ1722222222222-2-2-2-222222-200000000-2-2-2000022-2-2-22200000000-2-2000000000000000000
χ1822222222222-2-2-2-222222-200000000-2-2-20000-2-2-222-2-20000000022000000000000000000
χ1922222222222-2-2-2-22-2-2-2-2-20000000022-20000222-2-2-2-20000000022000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-20000000022-20000-2-22222200000000-2-2000000000000000000
χ2122222222-2-2-22222-222-2-2-22222222222-2000000-20000-2-2-2-2000000000000000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2-2-2-2-2-222-2000000-200002222000000000000000000000000
χ2322222222-2-2-22222-2-2-222-22222-2-2-2-2-2-2-200000020000-2-222000000000000000000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-2-22222-2-2-20000002000022-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2200000000-2-2222-2-20020000000022-2-200000000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2200000000-2-22-2-22200200000000-2-22200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22220000000022222-2-200-200000000-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222200000000222-2-22200-20000000022-2-200000000000000000000
χ292-222-22-2-20002-22-202i−2i00022-2-22i2i−2i−2i2i−2i0000000000000000000000i2i2−i2−i222−2−20000i2−i22−200
χ302-222-22-2-20002-22-202i−2i00022-2-22i2i−2i−2i2i−2i0000000000000000000000−i2−i2i2i2−2−2220000−i2i2−2200
χ312-222-22-2-20002-22-202i−2i000-2-222−2i−2i2i2i2i−2i0000000000000000000000i2i2−i2−i222−2−20000−i2i2−2200
χ322-222-22-2-20002-22-202i−2i000-2-222−2i−2i2i2i2i−2i0000000000000000000000−i2−i2i2i2−2−2220000i2−i22−200
χ332-222-22-2-20002-22-20−2i2i00022-2-2−2i−2i2i2i−2i2i0000000000000000000000i2i2−i2−i2−2−2220000i2−i2−2200
χ342-222-22-2-20002-22-20−2i2i00022-2-2−2i−2i2i2i−2i2i0000000000000000000000−i2−i2i2i222−2−20000−i2i22−200
χ352-222-22-2-20002-22-20−2i2i000-2-2222i2i−2i−2i−2i2i0000000000000000000000i2i2−i2−i2−2−2220000−i2i22−200
χ362-222-22-2-20002-22-20−2i2i000-2-2222i2i−2i−2i−2i2i0000000000000000000000−i2−i2i2i222−2−20000i2−i2−2200
χ372-2-2-2222-222-222-2-2-20000-22i−2i2i−2i00000022-22-22i−2i02i−2i002i−2i00000000000000000000000000
χ382-2-2-2222-222-222-2-2-20000-22i−2i2i−2i0000002-22-22−2i2i0−2i2i002i−2i00000000000000000000000000
χ392-2-2-2222-222-222-2-2-20000-2−2i2i−2i2i00000022-22-2−2i2i0−2i2i00−2i2i00000000000000000000000000
χ402-2-2-2222-222-222-2-2-20000-2−2i2i−2i2i0000002-22-222i−2i02i−2i00−2i2i00000000000000000000000000
χ412-2-2-2222-222-2-2-222-20000200002-22-200-200002i−2i0−2i2i00002-22i−2i2i−2i00000000000000000000
χ422-2-2-2222-222-2-2-222-20000200002-22-200-20000−2i2i02i−2i00002-2−2i2i−2i2i00000000000000000000
χ432-2-2-2222-222-2-2-222-2000020000-22-2200-200002i−2i0−2i2i0000-22−2i2i−2i2i00000000000000000000
χ442-2-2-2222-222-2-2-222-2000020000-22-2200-20000−2i2i02i−2i0000-222i−2i2i−2i00000000000000000000
χ452-2-2-2222-2-2-2222-2-22000022i−2i2i−2i000000-20000000002-2−2i2i002i−2i−2i2i2-2000000000000000000
χ462-2-2-2222-2-2-2222-2-22000022i−2i2i−2i000000-2000000000-22−2i2i00−2i2i2i−2i-22000000000000000000
χ472-2-2-2222-2-2-2222-2-2200002−2i2i−2i2i000000-20000000002-22i−2i00−2i2i2i−2i2-2000000000000000000
χ482-2-2-2222-2-2-2222-2-2200002−2i2i−2i2i000000-2000000000-222i−2i002i−2i−2i2i-22000000000000000000
χ492-2-2-2222-2-2-22-2-22220000-200002-22-20022-2-22000002-200-220000-22000000000000000000
χ502-2-2-2222-2-2-22-2-22220000-200002-22-2002-222-200000-2200-2200002-2000000000000000000
χ512-2-2-2222-2-2-22-2-22220000-20000-22-220022-2-2200000-22002-200002-2000000000000000000
χ522-2-2-2222-2-2-22-2-22220000-20000-22-22002-222-2000002-2002-20000-22000000000000000000
χ53444-4-4-44-44-440000-4000000000000000000000000000000000000022−2222−2200000000000000
χ54444-4-4-44-44-440000-40000000000000000000000000000000000000−2222−222200000000000000
χ55444-4-4-44-4-44-400004000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ56444-4-4-44-4-44-40000400000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ5744-4-4-44-440004-4-440000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5844-4-4-44-440004-4-44000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5944-4-4-44-44000-444-400000000004i−4i−4i4i000000000000000000000000000000000000000000
χ6044-4-4-44-44000-444-40000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ614-444-44-4-4000-44-4404i−4i00000000000−4i4i0000000000000000000000000000000000000000
χ624-444-44-4-4000-44-440−4i4i000000000004i−4i0000000000000000000000000000000000000000
χ634-44-44-4-4400000000004-40000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ644-44-44-4-4400000000004-4000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ654-44-44-4-440000000000-440000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ664-44-44-4-440000000000-44000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ674-4-44-4-4444-4-40000400000000000000000000000000000000000000000000022−2200000000
χ684-4-44-4-4444-4-400004000000000000000000000000000000000000000000000−222200000000
χ694-4-44-4-444-4440000-4000000000000000000000000000000000000000000000002i2−2i2000000
χ704-4-44-4-444-4440000-400000000000000000000000000000000000000000000000−2i22i2000000
χ7188-888-8-8-8000000000000000000000000000000000000000000000000000000000000000

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