Finite Group Databasebeta

← Group #283878

Character table — Group #283878

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111
χ71111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-1-1-1-111
χ81111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-111-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-111-11
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-11-1
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111111-1-1-111-1-11-1
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-11
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111-1-1-1111-1
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1111-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-111-1-1-11-1-1111-1
χ172222222222-2-2-222-222222222-20000-20000-2-2-2-200000000000000220022000000000000-200-2000000
χ182222222222-2-2-222-222222222-20000-20000-2-2-2-200000000000000-2-200-2-20000000000002002000000
χ192222222222-2-2-222-2-2-2-2-2-2-2-2-2-20000-200002222000000000000002200-2-2000000000000-2002000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-2-20000-20000222200000000000000-2-20022000000000000200-2000000
χ2122222222-2-2222-2-2200000000-22222-222220000-2-2-2-2000000002200-2-200-2-200000000000000000000
χ2222222222-2-2222-2-2200000000-22222-2-2-2-2-20000222200000000-2-2002200-2-200000000000000000000
χ2322222222-2-2222-2-2200000000-2-2-2-2-2-222220000-2-2-2-200000000-2-20022002200000000000000000000
χ2422222222-2-2222-2-2200000000-2-2-2-2-2-2-2-2-2-200002222000000002200-2-2002200000000000000000000
χ2522-22-2-22-200-2-220022222−2−2−2−202i2i−2i−2i02i2i−2i−2i22−2−20000i2i2i2i2−i2−i2−i2−i22-200000000i2i2−i2−i222−2−2000000000000
χ2622-22-2-22-200-2-220022222−2−2−2−202i2i−2i−2i0−2i−2i2i2i22−2−20000−i2−i2−i2−i2i2i2i2i2-2200000000i2i2−i2−i2−2−222000000000000
χ2722-22-2-22-200-2-220022222−2−2−2−20−2i−2i2i2i02i2i−2i−2i22−2−20000i2i2i2i2−i2−i2−i2−i2-2200000000−i2−i2i2i2−2−222000000000000
χ2822-22-2-22-200-2-220022222−2−2−2−20−2i−2i2i2i0−2i−2i2i2i22−2−20000−i2−i2−i2−i2i2i2i2i22-200000000−i2−i2i2i222−2−2000000000000
χ2922-22-2-22-200-2-22002−2−2−2−2222202i2i−2i−2i02i2i−2i−2i−2−2220000−i2−i2−i2−i2i2i2i2i22-200000000−i2−i2i2i2−2−222000000000000
χ3022-22-2-22-200-2-22002−2−2−2−2222202i2i−2i−2i0−2i−2i2i2i−2−2220000i2i2i2i2−i2−i2−i2−i2-2200000000−i2−i2i2i222−2−2000000000000
χ3122-22-2-22-200-2-22002−2−2−2−222220−2i−2i2i2i02i2i−2i−2i−2−2220000−i2−i2−i2−i2i2i2i2i2-2200000000i2i2−i2−i222−2−2000000000000
χ3222-22-2-22-200-2-22002−2−2−2−222220−2i−2i2i2i0−2i−2i2i2i−2−2220000i2i2i2i2−i2−i2−i2−i22-200000000i2i2−i2−i2−2−222000000000000
χ332-22-2-222-2002-2-2002i2i2−i2−i2i2i2−i2−i202i−2i2i−2i00000i2−i2i2−i222-2-2i2i2−i2−i2i2i2−i2−i200002i−2i00002−22−22−22−2000000000000
χ342-22-2-222-2002-2-2002i2i2−i2−i2i2i2−i2−i202i−2i2i−2i00000i2−i2i2−i2-2-222−i2−i2i2i2−i2−i2i2i20000−2i2i00002−22−2−22−22000000000000
χ352-22-2-222-2002-2-2002i2i2−i2−i2i2i2−i2−i20−2i2i−2i2i00000i2−i2i2−i222-2-2i2i2−i2−i2i2i2−i2−i20000−2i2i0000−22−22−22−22000000000000
χ362-22-2-222-2002-2-2002i2i2−i2−i2i2i2−i2−i20−2i2i−2i2i00000i2−i2i2−i2-2-222−i2−i2i2i2−i2−i2i2i200002i−2i0000−22−222−22−2000000000000
χ372-22-2-222-2002-2-2002−i2−i2i2i2−i2−i2i2i202i−2i2i−2i00000−i2i2−i2i222-2-2−i2−i2i2i2−i2−i2i2i200002i−2i0000−22−22−22−22000000000000
χ382-22-2-222-2002-2-2002−i2−i2i2i2−i2−i2i2i202i−2i2i−2i00000−i2i2−i2i2-2-222i2i2−i2−i2i2i2−i2−i20000−2i2i0000−22−222−22−2000000000000
χ392-22-2-222-2002-2-2002−i2−i2i2i2−i2−i2i2i20−2i2i−2i2i00000−i2i2−i2i222-2-2−i2−i2i2i2−i2−i2i2i20000−2i2i00002−22−22−22−2000000000000
χ402-22-2-222-2002-2-2002−i2−i2i2i2−i2−i2i2i20−2i2i−2i2i00000−i2i2−i2i2-2-222i2i2−i2−i2i2i2−i2−i200002i−2i00002−22−2−22−22000000000000
χ412-2-2222-2-22-20002-202i−2i2i−2i2i−2i2i−2i000000i2−i2i2−i20000i2−i2i2−i22−22−22−22−2002i−2i002-20000000000000000i2−i22−200
χ422-2-2222-2-22-20002-202i−2i2i−2i2i−2i2i−2i000000i2−i2i2−i20000i2−i2i2−i22−22−22−22−200−2i2i00-220000000000000000−i2i2−2200
χ432-2-2222-2-22-20002-202i−2i2i−2i2i−2i2i−2i000000−i2i2−i2i20000−i2i2−i2i2−22−22−22−22002i−2i002-20000000000000000−i2i2−2200
χ442-2-2222-2-22-20002-202i−2i2i−2i2i−2i2i−2i000000−i2i2−i2i20000−i2i2−i2i2−22−22−22−2200−2i2i00-220000000000000000i2−i22−200
χ452-2-2222-2-22-20002-20−2i2i−2i2i−2i2i−2i2i000000i2−i2i2−i20000i2−i2i2−i2−22−22−22−22002i−2i00-220000000000000000−i2i22−200
χ462-2-2222-2-22-20002-20−2i2i−2i2i−2i2i−2i2i000000i2−i2i2−i20000i2−i2i2−i2−22−22−22−2200−2i2i002-20000000000000000i2−i2−2200
χ472-2-2222-2-22-20002-20−2i2i−2i2i−2i2i−2i2i000000−i2i2−i2i20000−i2i2−i2i22−22−22−22−2002i−2i00-220000000000000000i2−i2−2200
χ482-2-2222-2-22-20002-20−2i2i−2i2i−2i2i−2i2i000000−i2i2−i2i20000−i2i2−i2i22−22−22−22−200−2i2i002-20000000000000000−i2i22−200
χ492-2-2-22-222222-22-2-2-22i2i−2i−2i−2i−2i2i2i-2000020000−2i2i2i−2i0000000000000000000000000000002i−2i02-20000000
χ502-2-2-22-222222-22-2-2-22i2i−2i−2i−2i−2i2i2i-2000020000−2i2i2i−2i000000000000000000000000000000−2i2i0-220000000
χ512-2-2-22-222222-22-2-2-2−2i−2i2i2i2i2i−2i−2i-20000200002i−2i−2i2i0000000000000000000000000000002i−2i0-220000000
χ522-2-2-22-222222-22-2-2-2−2i−2i2i2i2i2i−2i−2i-20000200002i−2i−2i2i000000000000000000000000000000−2i2i02-20000000
χ532-2-2-22-22222-22-2-2-222i2i−2i−2i−2i−2i2i2i22-2-22-200002i−2i−2i2i000000000000000000002-2−2i2i2i−2i0000000000000000
χ542-2-2-22-22222-22-2-2-222i2i−2i−2i−2i−2i2i2i2-222-2-200002i−2i−2i2i00000000000000000000-222i−2i−2i2i0000000000000000
χ552-2-2-22-22222-22-2-2-22−2i−2i2i2i2i2i−2i−2i22-2-22-20000−2i2i2i−2i000000000000000000002-22i−2i−2i2i0000000000000000
χ562-2-2-22-22222-22-2-2-22−2i−2i2i2i2i2i−2i−2i2-222-2-20000−2i2i2i−2i00000000000000000000-22−2i2i2i−2i0000000000000000
χ572-2-2-22-222-2-2-22-222200000000-22-2-22200000000000022-2-2-2-22200000000-2200002-2-22000000000000
χ582-2-2-22-222-2-2-22-222200000000-22-2-222000000000000-2-22222-2-200000000-220000-222-2000000000000
χ592-2-2-22-222-2-2-22-222200000000-2-222-2200000000000022-2-2-2-222000000002-20000-222-2000000000000
χ602-2-2-22-222-2-2-22-222200000000-2-222-22000000000000-2-22222-2-2000000002-200002-2-22000000000000
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ62444-44-4-4-44-4000-4404-4-44-444-400000000000000000000000000000000000000000000000000000000
χ63444-44-4-4-44-4000-440-444-44-4-4400000000000000000000000000000000000000000000000000000000
χ64444-44-4-4-4-440004-400000000000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ65444-44-4-4-4-440004-4000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ6644-44-4-44-40044-400-422222222−22−22−22−220000000000−22−222222000000000000000000000000000000000000000000
χ6744-44-4-44-40044-400-4−22−22−22−222222222200000000002222−22−22000000000000000000000000000000000000000000
χ6844-4-4-44-440000000022−22−222222−22−2222000000000000002i2−2i2−2i22i2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6944-4-4-44-440000000022−22−222222−22−222200000000000000−2i22i22i2−2i22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ7044-4-4-44-4400000000−222222−22−222222−22000000000000002i2−2i2−2i22i22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ7144-4-4-44-4400000000−222222−22−222222−2200000000000000−2i22i22i2−2i2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ724-444-4-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i200000022−22−222200000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ734-444-4-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i2000000−222222−22000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ744-444-4-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i200000022−22−2222000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ754-444-4-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i2000000−222222−2200000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ764-44-4-444-400-44400-42i22i2−2i2−2i22i22i2−2i2−2i20000000000−2i22i2−2i22i2000000000000000000000000000000000000000000
χ774-44-4-444-400-44400-4−2i2−2i22i22i2−2i2−2i22i22i200000000002i2−2i22i2−2i2000000000000000000000000000000000000000000
χ784-4-4444-4-4-44000-440000000000000002i2−2i22i2−2i20000−2i22i2−2i22i200000000000000000000000000000000000000
χ794-4-4444-4-4-44000-44000000000000000−2i22i2−2i22i200002i2−2i22i2−2i200000000000000000000000000000000000000
χ804-4-4-44-444-4-44-4444-40000000040000-400000000000000000000000000000000000000000000000000

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