Finite Group Databasebeta

← Group #283921

Character table — Group #283921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111-11
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-11-1
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-11-1
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111111-1-1-111-1-111-11
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-111-1-111-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-11-1-11111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-11-111-1-1-1-1111-1
χ172222222222-2-2-222-2222222220000-2-20000-2-2-2-2000000000000002200220000000000-2-20000000000
χ182222222222-2-2-222-2222222220000-2-20000-2-2-2-200000000000000-2-200-2-20000000000220000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2-2-20000-2-200002222000000000000002200-2-200000000002-20000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-20000-2-20000222200000000000000-2-200220000000000-220000000000
χ2122222222-2-2222-2-22000000002222-2-222220000-2-2-2-200000000-2-2002200-2-200000000000000000000
χ2222222222-2-2222-2-22000000002222-2-2-2-2-2-20000222200000000-2-200-2-2002200000000000000000000
χ2322222222-2-2222-2-2200000000-2-2-2-2-2-222220000-2-2-2-2000000002200-2-2002200000000000000000000
χ2422222222-2-2222-2-2200000000-2-2-2-2-2-2-2-2-2-2000022220000000022002200-2-200000000000000000000
χ2522-2-2-222-2002-2-2002i2i2i2i2−i2−i2−i2−i22i2i−2i−2i002i2i−2i−2ii2i2−i2−i200002222−2−2−2−200002-2000022−2−2i2i2−i2−i2000000000000
χ2622-2-2-222-2002-2-2002i2i2i2i2−i2−i2−i2−i22i2i−2i−2i00−2i−2i2i2ii2i2−i2−i20000−2−2−2−222220000-22000022−2−2−i2−i2i2i2000000000000
χ2722-2-2-222-2002-2-2002i2i2i2i2−i2−i2−i2−i2−2i−2i2i2i002i2i−2i−2ii2i2−i2−i200002222−2−2−2−20000-220000−2−222−i2−i2i2i2000000000000
χ2822-2-2-222-2002-2-2002i2i2i2i2−i2−i2−i2−i2−2i−2i2i2i00−2i−2i2i2ii2i2−i2−i20000−2−2−2−2222200002-20000−2−222i2i2−i2−i2000000000000
χ2922-2-2-222-2002-2-2002−i2−i2−i2−i2i2i2i2i22i2i−2i−2i002i2i−2i−2i−i2−i2i2i20000−2−2−2−2222200002-20000−2−222−i2−i2i2i2000000000000
χ3022-2-2-222-2002-2-2002−i2−i2−i2−i2i2i2i2i22i2i−2i−2i00−2i−2i2i2i−i2−i2i2i200002222−2−2−2−20000-220000−2−222i2i2−i2−i2000000000000
χ3122-2-2-222-2002-2-2002−i2−i2−i2−i2i2i2i2i2−2i−2i2i2i002i2i−2i−2i−i2−i2i2i20000−2−2−2−222220000-22000022−2−2i2i2−i2−i2000000000000
χ3222-2-2-222-2002-2-2002−i2−i2−i2−i2i2i2i2i2−2i−2i2i2i00−2i−2i2i2i−i2−i2i2i200002222−2−2−2−200002-2000022−2−2−i2−i2i2i2000000000000
χ332-222-22-2-200-2-2200222−2−222−2−22i−2i2i−2i0000002−22−222-2-222−2−222−2−2000000002i−2ii2−i2i2−i2i2−i2i2−i2000000000000
χ342-222-22-2-200-2-2200222−2−222−2−22i−2i2i−2i0000002−22−2-2-222−2−222−2−22200000000−2i2ii2−i2i2−i2−i2i2−i2i2000000000000
χ352-222-22-2-200-2-2200222−2−222−2−2−2i2i−2i2i0000002−22−222-2-222−2−222−2−200000000−2i2i−i2i2−i2i2−i2i2−i2i2000000000000
χ362-222-22-2-200-2-2200222−2−222−2−2−2i2i−2i2i0000002−22−2-2-222−2−222−2−222000000002i−2i−i2i2−i2i2i2−i2i2−i2000000000000
χ372-222-22-2-200-2-22002−2−222−2−2222i−2i2i−2i000000−22−2222-2-2−2−222−2−222000000002i−2i−i2i2−i2i2−i2i2−i2i2000000000000
χ382-222-22-2-200-2-22002−2−222−2−2222i−2i2i−2i000000−22−22-2-22222−2−222−2−200000000−2i2i−i2i2−i2i2i2−i2i2−i2000000000000
χ392-222-22-2-200-2-22002−2−222−2−222−2i2i−2i2i000000−22−2222-2-2−2−222−2−22200000000−2i2ii2−i2i2−i2i2−i2i2−i2000000000000
χ402-222-22-2-200-2-22002−2−222−2−222−2i2i−2i2i000000−22−22-2-22222−2−222−2−2000000002i−2ii2−i2i2−i2−i2i2−i2i2000000000000
χ412-22-22-22-22-20002-202i−2i2i−2i2i−2i2i−2i000000i2−i2i2−i20000i2−i2i2−i22−22−22−22−2002-2002i−2i00000000000000002−2i2−i200
χ422-22-22-22-22-20002-202i−2i2i−2i2i−2i2i−2i000000i2−i2i2−i20000i2−i2i2−i22−22−22−22−200-2200−2i2i0000000000000000−22−i2i200
χ432-22-22-22-22-20002-202i−2i2i−2i2i−2i2i−2i000000−i2i2−i2i20000−i2i2−i2i2−22−22−22−22002-2002i−2i0000000000000000−22−i2i200
χ442-22-22-22-22-20002-202i−2i2i−2i2i−2i2i−2i000000−i2i2−i2i20000−i2i2−i2i2−22−22−22−2200-2200−2i2i00000000000000002−2i2−i200
χ452-22-22-22-22-20002-20−2i2i−2i2i−2i2i−2i2i000000i2−i2i2−i20000i2−i2i2−i2−22−22−22−22002-200−2i2i0000000000000000−22i2−i200
χ462-22-22-22-22-20002-20−2i2i−2i2i−2i2i−2i2i000000i2−i2i2−i20000i2−i2i2−i2−22−22−22−2200-22002i−2i00000000000000002−2−i2i200
χ472-22-22-22-22-20002-20−2i2i−2i2i−2i2i−2i2i000000−i2i2−i2i20000−i2i2−i2i22−22−22−22−2002-200−2i2i00000000000000002−2−i2i200
χ482-22-22-22-22-20002-20−2i2i−2i2i−2i2i−2i2i000000−i2i2−i2i20000−i2i2−i2i22−22−22−22−200-22002i−2i0000000000000000−22i2−i200
χ492-2-2-222-22222-22-2-2-22i2i−2i−2i−2i−2i2i2i0000-220000−2i2i2i−2i000000000000000000000000000000002i−2i2-2000000
χ502-2-2-222-22222-22-2-2-22i2i−2i−2i−2i−2i2i2i0000-220000−2i2i2i−2i00000000000000000000000000000000−2i2i-22000000
χ512-2-2-222-22222-22-2-2-2−2i−2i2i2i2i2i−2i−2i0000-2200002i−2i−2i2i000000000000000000000000000000002i−2i-22000000
χ522-2-2-222-22222-22-2-2-2−2i−2i2i2i2i2i−2i−2i0000-2200002i−2i−2i2i00000000000000000000000000000000−2i2i2-2000000
χ532-2-2-222-2222-22-2-2-222i2i−2i−2i−2i−2i2i2i2-2-222-200002i−2i−2i2i0000000000002-200000000−2i2i2i−2i0000000000000000
χ542-2-2-222-2222-22-2-2-222i2i−2i−2i−2i−2i2i2i-222-22-200002i−2i−2i2i000000000000-22000000002i−2i−2i2i0000000000000000
χ552-2-2-222-2222-22-2-2-22−2i−2i2i2i2i2i−2i−2i2-2-222-20000−2i2i2i−2i0000000000002-2000000002i−2i−2i2i0000000000000000
χ562-2-2-222-2222-22-2-2-22−2i−2i2i2i2i2i−2i−2i-222-22-20000−2i2i2i−2i000000000000-2200000000−2i2i2i−2i0000000000000000
χ572-2-2-222-22-2-2-22-2222000000002-2-22-2200000000000022-2-2-2-222-220000000000002-2-22000000000000
χ582-2-2-222-22-2-2-22-2222000000002-2-22-22000000000000-2-22222-2-2-22000000000000-222-2000000000000
χ592-2-2-222-22-2-2-22-222200000000-222-2-2200000000000022-2-2-2-2222-2000000000000-222-2000000000000
χ602-2-2-222-22-2-2-22-222200000000-222-2-22000000000000-2-22222-2-22-20000000000002-2-22000000000000
χ6144444444-4-4-4-4-4-4-4-40000000000004400000000000000000000000000000000000000000000000000
χ62444-4-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000002i2−2i2−2i22i22-2-222-2-22000000000000000000000000000000
χ63444-4-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000−2i22i22i2−2i2-222-2-222-2000000000000000000000000000000
χ64444-4-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000002i2−2i2−2i22i2-222-2-222-2000000000000000000000000000000
χ65444-4-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000−2i22i22i2−2i22-2-222-2-22000000000000000000000000000000
χ6644-444-4-4-44-4000-4404-4-44-444-400000000000000000000000000000000000000000000000000000000
χ6744-444-4-4-44-4000-440-444-44-4-4400000000000000000000000000000000000000000000000000000000
χ6844-444-4-4-4-440004-400000000000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ6944-444-4-4-4-440004-4000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ7044-4-4-444-400-44400-42i22i22i22i2−2i2−2i2−2i2−2i20000000000−2i2−2i22i22i2000000000000000000000000000000000000000000
χ7144-4-4-444-400-44400-4−2i2−2i2−2i2−2i22i22i22i22i200000000002i22i2−2i2−2i2000000000000000000000000000000000000000000
χ724-444-44-4-40044-400-42222−22−222222−22−220000000000−2222−2222000000000000000000000000000000000000000000
χ734-444-44-4-40044-400-4−22−222222−22−222222000000000022−2222−22000000000000000000000000000000000000000000
χ744-44-44-44-4-44000-440000000000000002i2−2i22i2−2i20000−2i22i2−2i22i200000000000000000000000000000000000000
χ754-44-44-44-4-44000-44000000000000000−2i22i2−2i22i200002i2−2i22i2−2i200000000000000000000000000000000000000
χ764-4-44-4-4440000000022−2222−22−2222−222200000022−22−2222000000002-22-2-22-22000000000000000000000000000000
χ774-4-44-4-4440000000022−2222−22−2222−2222000000−222222−2200000000-22-222-22-2000000000000000000000000000000
χ784-4-44-4-44400000000−2222−222222−2222−2200000022−22−222200000000-22-222-22-2000000000000000000000000000000
χ794-4-44-4-44400000000−2222−222222−2222−22000000−222222−22000000002-22-2-22-22000000000000000000000000000000
χ804-4-4-444-44-4-44-4444-40000000000004-400000000000000000000000000000000000000000000000000

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