Finite Group Databasebeta

← Group #283943

Character table — Group #283943

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888822224488888888888888888888444444444488888888444444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
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
χ7111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-11-1-111-1-1111-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-11-1-1-11111-1-11-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-11
χ17222222222-2-2222-2-2000000002222-2-222220000-2-2-2-200000000-2-2-2-200220000000000000000000000
χ18222222222-2-2222-2-2000000002222-2-2-2-2-2-2000022220000000022-2-200-2-20000000000000000000000
χ19222222222-2-2222-2-200000000-2-2-2-2-2-222220000-2-2-2-200000000222200-2-20000000000000000000000
χ20222222222-2-2222-2-200000000-2-2-2-2-2-2-2-2-2-20000222200000000-2-22200220000000000000000000000
χ2122222222-222-2-2-222222222220000-2-20000-2-2-2-2000000000000000022002200000000-2-20000000000
χ2222222222-222-2-2-222222222220000-2-20000-2-2-2-20000000000000000-2-200-2-200000000220000000000
χ2322222222-222-2-2-222-2-2-2-2-2-2-2-20000-2-20000222200000000000000002200-2-200000000-220000000000
χ2422222222-222-2-2-222-2-2-2-2-2-2-2-20000-2-2000022220000000000000000-2-20022000000002-20000000000
χ2522-222-2-2-2-200-222002222−2−2−2−222-2-2002i2i−2i−2i22−2−20000i2i2i2i2−i2−i2−i2−i20000002i−2i0022−2−2i2i2−i2−i2000000000000
χ2622-222-2-2-2-200-222002222−2−2−2−222-2-200−2i−2i2i2i22−2−20000−i2−i2−i2−i2i2i2i2i2000000−2i2i0022−2−2−i2−i2i2i2000000000000
χ2722-222-2-2-2-200-222002222−2−2−2−2-2-222002i2i−2i−2i22−2−20000i2i2i2i2−i2−i2−i2−i2000000−2i2i00−2−222−i2−i2i2i2000000000000
χ2822-222-2-2-2-200-222002222−2−2−2−2-2-22200−2i−2i2i2i22−2−20000−i2−i2−i2−i2i2i2i2i20000002i−2i00−2−222i2i2−i2−i2000000000000
χ2922-222-2-2-2-200-22200−2−2−2−2222222-2-2002i2i−2i−2i−2−2220000−i2−i2−i2−i2i2i2i2i20000002i−2i00−2−222−i2−i2i2i2000000000000
χ3022-222-2-2-2-200-22200−2−2−2−2222222-2-200−2i−2i2i2i−2−2220000i2i2i2i2−i2−i2−i2−i2000000−2i2i00−2−222i2i2−i2−i2000000000000
χ3122-222-2-2-2-200-22200−2−2−2−22222-2-222002i2i−2i−2i−2−2220000−i2−i2−i2−i2i2i2i2i2000000−2i2i0022−2−2i2i2−i2−i2000000000000
χ3222-222-2-2-2-200-22200−2−2−2−22222-2-22200−2i−2i2i2i−2−2220000i2i2i2i2−i2−i2−i2−i20000002i−2i0022−2−2−i2−i2i2i2000000000000
χ332-222-2-22-2200-2-2200i2i2−i2−i2i2i2−i2−i22-22-2000000i2−i2i2−i222-2-2i2i2−i2−i2i2i2−i2−i22-200000000i2−i2i2−i2i2−i2i2−i2000000000000
χ342-222-2-22-2200-2-2200i2i2−i2−i2i2i2−i2−i22-22-2000000i2−i2i2−i2-2-222−i2−i2i2i2−i2−i2i2i2-2200000000i2−i2i2−i2−i2i2−i2i2000000000000
χ352-222-2-22-2200-2-2200i2i2−i2−i2i2i2−i2−i2-22-22000000i2−i2i2−i222-2-2i2i2−i2−i2i2i2−i2−i2-2200000000−i2i2−i2i2−i2i2−i2i2000000000000
χ362-222-2-22-2200-2-2200i2i2−i2−i2i2i2−i2−i2-22-22000000i2−i2i2−i2-2-222−i2−i2i2i2−i2−i2i2i22-200000000−i2i2−i2i2i2−i2i2−i2000000000000
χ372-222-2-22-2200-2-2200−i2−i2i2i2−i2−i2i2i22-22-2000000−i2i2−i2i222-2-2−i2−i2i2i2−i2−i2i2i22-200000000−i2i2−i2i2−i2i2−i2i2000000000000
χ382-222-2-22-2200-2-2200−i2−i2i2i2−i2−i2i2i22-22-2000000−i2i2−i2i2-2-222i2i2−i2−i2i2i2−i2−i2-2200000000−i2i2−i2i2i2−i2i2−i2000000000000
χ392-222-2-22-2200-2-2200−i2−i2i2i2−i2−i2i2i2-22-22000000−i2i2−i2i222-2-2−i2−i2i2i2−i2−i2i2i2-2200000000i2−i2i2−i2i2−i2i2−i2000000000000
χ402-222-2-22-2200-2-2200−i2−i2i2i2−i2−i2i2i2-22-22000000−i2i2−i2i2-2-222i2i2−i2−i2i2i2−i2−i22-200000000i2−i2i2−i2−i2i2−i2i2000000000000
χ412-22-222-2-202-20002-22-22-22-22-2000000i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i002i−2i000000000000002−22−200
χ422-22-222-2-202-20002-22-22-22-22-2000000i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i00−2i2i00000000000000−22−2200
χ432-22-222-2-202-20002-22-22-22-22-2000000−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i002i−2i00000000000000−22−2200
χ442-22-222-2-202-20002-22-22-22-22-2000000−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i00−2i2i000000000000002−22−200
χ452-22-222-2-202-20002-2-22-22-22-22000000i2−i2i2−i20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200002i−2i00−2i2i00000000000000−222−200
χ462-22-222-2-202-20002-2-22-22-22-22000000i2−i2i2−i20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000−2i2i002i−2i000000000000002−2−2200
χ472-22-222-2-202-20002-2-22-22-22-22000000−i2i2−i2i20000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200002i−2i00−2i2i000000000000002−2−2200
χ482-22-222-2-202-20002-2-22-22-22-22000000−i2i2−i2i20000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000−2i2i002i−2i00000000000000−222−200
χ492-2-22-22-22222-22-2-2-22i2i−2i−2i−2i−2i2i2i0000-220000−2i2i2i−2i000000000000000000000000000000002i−2i2-2000000
χ502-2-22-22-22222-22-2-2-22i2i−2i−2i−2i−2i2i2i0000-220000−2i2i2i−2i00000000000000000000000000000000−2i2i-22000000
χ512-2-22-22-22222-22-2-2-2−2i−2i2i2i2i2i−2i−2i0000-2200002i−2i−2i2i000000000000000000000000000000002i−2i-22000000
χ522-2-22-22-22222-22-2-2-2−2i−2i2i2i2i2i−2i−2i0000-2200002i−2i−2i2i00000000000000000000000000000000−2i2i2-2000000
χ532-2-22-22-22-2222-22-2-22i2i−2i−2i−2i−2i2i2i2-2-222-200002i−2i−2i2i000000000000002-20000002i−2i−2i2i0000000000000000
χ542-2-22-22-22-2222-22-2-22i2i−2i−2i−2i−2i2i2i-222-22-200002i−2i−2i2i00000000000000-22000000−2i2i2i−2i0000000000000000
χ552-2-22-22-22-2222-22-2-2−2i−2i2i2i2i2i−2i−2i2-2-222-20000−2i2i2i−2i000000000000002-2000000−2i2i2i−2i0000000000000000
χ562-2-22-22-22-2222-22-2-2−2i−2i2i2i2i2i−2i−2i-222-22-20000−2i2i2i−2i00000000000000-220000002i−2i−2i2i0000000000000000
χ572-2-22-22-22-2-2-22-2222000000002-2-22-2200000000000022-2-2-2-22200-2200000000002-2-22000000000000
χ582-2-22-22-22-2-2-22-2222000000002-2-22-22000000000000-2-22222-2-200-220000000000-222-2000000000000
χ592-2-22-22-22-2-2-22-222200000000-222-2-2200000000000022-2-2-2-222002-20000000000-222-2000000000000
χ602-2-22-22-22-2-2-22-222200000000-222-2-22000000000000-2-22222-2-2002-200000000002-2-22000000000000
χ6144444444-4-4-4-4-4-4-4-40000000000004400000000000000000000000000000000000000000000000000
χ62444-4-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000002i2−2i2−2i22i2-222-2-222-2000000000000000000000000000000
χ63444-4-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000−2i22i22i2−2i22-2-222-2-22000000000000000000000000000000
χ64444-4-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000002i2−2i2−2i22i22-2-222-2-22000000000000000000000000000000
χ65444-4-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000−2i22i22i2−2i2-222-2-222-2000000000000000000000000000000
χ6644-444-4-4-44004-4-40022222222−22−22−22−220000000000−22−222222000000000000000000000000000000000000000000
χ6744-444-4-4-44004-4-400−22−22−22−222222222200000000002222−22−22000000000000000000000000000000000000000000
χ6844-4-4-444-404-4000-444i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ6944-4-4-444-404-4000-44−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ7044-4-4-444-40-440004-4000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ7144-4-4-444-40-440004-400000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ724-444-4-44-4-40044-4002i22i2−2i2−2i22i22i2−2i2−2i20000000000−2i22i2−2i22i2000000000000000000000000000000000000000000
χ734-444-4-44-4-40044-400−2i2−2i22i22i2−2i2−2i22i22i200000000002i2−2i22i2−2i2000000000000000000000000000000000000000000
χ744-44-444-4-40-44000-44000000000000002i2−2i22i2−2i20000−2i22i2−2i22i200000000000000000000000000000000000000
χ754-44-444-4-40-44000-4400000000000000−2i22i2−2i22i200002i2−2i22i2−2i200000000000000000000000000000000000000
χ764-4-44-44-444-4-4-44-4440000000000004-400000000000000000000000000000000000000000000000000
χ774-4-4-44-4440000000022−2222−22−2222−222200000022−22−2222000000002-22-2-22-22000000000000000000000000000000
χ784-4-4-44-4440000000022−2222−22−2222−2222000000−222222−2200000000-22-222-22-2000000000000000000000000000000
χ794-4-4-44-44400000000−2222−222222−2222−2200000022−22−222200000000-22-222-22-2000000000000000000000000000000
χ804-4-4-44-44400000000−2222−222222−2222−22000000−222222−22000000002-22-2-22-22000000000000000000000000000000

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