Finite Group Databasebeta

← Group #283959

Character table — Group #283959

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888822224488888888888888888888224444444488888888444444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-11-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-111-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1111-1-1111-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11-1-1-11111-1-11-1
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
χ17222222222-2-22-222-2000000002222-2-200002222-2-2-2-200000000-2-200-2-2220000000000000000000000
χ18222222222-2-22-222-2000000002222-2-20000-2-2-2-22222000000002200-2-2-2-20000000000000000000000
χ19222222222-2-22-222-200000000-2-2-2-2-2-200002222-2-2-2-200000000220022-2-20000000000000000000000
χ20222222222-2-22-222-200000000-2-2-2-2-2-20000-2-2-2-2222200000000-2-20022220000000000000000000000
χ2122222222-222-22-2-22222222220000-2-2-2-2-2-20000000000000000002200002200000000-200-200000000
χ2222222222-222-22-2-22222222220000-2-2-2-2-2-2000000000000000000-2-20000-2-200000000200200000000
χ2322222222-222-22-2-22-2-2-2-2-2-2-2-20000-2-22222000000000000000000220000-2-200000000-200200000000
χ2422222222-222-22-2-22-2-2-2-2-2-2-2-20000-2-22222000000000000000000-2-200002200000000200-200000000
χ25222-22-2-2-2-200-202202222−2−2−2−222-2-20022−2−22i2i−2i−2i0000i2i2i2i2−i2−i2−i2−i20000002i−2i0022−2−2i2i2−i2−i2000000000000
χ26222-22-2-2-2-200-202202222−2−2−2−222-2-20022−2−2−2i−2i2i2i0000−i2−i2−i2−i2i2i2i2i2000000−2i2i0022−2−2−i2−i2i2i2000000000000
χ27222-22-2-2-2-200-202202222−2−2−2−2-2-2220022−2−22i2i−2i−2i0000i2i2i2i2−i2−i2−i2−i2000000−2i2i00−2−222−i2−i2i2i2000000000000
χ28222-22-2-2-2-200-202202222−2−2−2−2-2-2220022−2−2−2i−2i2i2i0000−i2−i2−i2−i2i2i2i2i20000002i−2i00−2−222i2i2−i2−i2000000000000
χ29222-22-2-2-2-200-20220−2−2−2−2222222-2-200−2−2222i2i−2i−2i0000−i2−i2−i2−i2i2i2i2i20000002i−2i00−2−222−i2−i2i2i2000000000000
χ30222-22-2-2-2-200-20220−2−2−2−2222222-2-200−2−222−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i2000000−2i2i00−2−222i2i2−i2−i2000000000000
χ31222-22-2-2-2-200-20220−2−2−2−22222-2-22200−2−2222i2i−2i−2i0000−i2−i2−i2−i2i2i2i2i2000000−2i2i0022−2−2i2i2−i2−i2000000000000
χ32222-22-2-2-2-200-20220−2−2−2−22222-2-22200−2−222−2i−2i2i2i0000i2i2i2i2−i2−i2−i2−i20000002i−2i0022−2−2−i2−i2i2i2000000000000
χ3322-2-2-222-202-20200-22i2i−2i−2i2i2i−2i−2i00000000002−22−222−2−2i2i2−i2−i2i2i2−i2−i2002-200002i−2i00000000000000i2−i22−200
χ3422-2-2-222-202-20200-22i2i−2i−2i2i2i−2i−2i00000000002−22−222−2−2i2i2−i2−i2i2i2−i2−i200-220000−2i2i00000000000000−i2i2−2200
χ3522-2-2-222-202-20200-22i2i−2i−2i2i2i−2i−2i0000000000−22−22−2−222−i2−i2i2i2−i2−i2i2i2002-200002i−2i00000000000000−i2i2−2200
χ3622-2-2-222-202-20200-22i2i−2i−2i2i2i−2i−2i0000000000−22−22−2−222−i2−i2i2i2−i2−i2i2i200-220000−2i2i00000000000000i2−i22−200
χ3722-2-2-222-202-20200-2−2i−2i2i2i−2i−2i2i2i00000000002−22−222−2−2−i2−i2i2i2−i2−i2i2i2002-20000−2i2i00000000000000−i2i22−200
χ3822-2-2-222-202-20200-2−2i−2i2i2i−2i−2i2i2i00000000002−22−222−2−2−i2−i2i2i2−i2−i2i2i200-2200002i−2i00000000000000i2−i2−2200
χ3922-2-2-222-202-20200-2−2i−2i2i2i−2i−2i2i2i0000000000−22−22−2−222i2i2−i2−i2i2i2−i2−i2002-20000−2i2i00000000000000i2−i2−2200
χ4022-2-2-222-202-20200-2−2i−2i2i2i−2i−2i2i2i0000000000−22−22−2−222i2i2−i2−i2i2i2−i2−i200-2200002i−2i00000000000000−i2i22−200
χ412-222-22-2-2200-20-220i2−i2i2−i2i2−i2i2−i22-22-200i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i22-200000000i2−i2i2−i2i2−i2i2−i2000000000000
χ422-222-22-2-2200-20-220i2−i2i2−i2i2−i2i2−i22-22-200i2−i2i2−i20000-22-22−i2i2−i2i2−i2i2−i2i2-2200000000i2−i2i2−i2−i2i2−i2i2000000000000
χ432-222-22-2-2200-20-220i2−i2i2−i2i2−i2i2−i2-22-2200i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i2-2200000000−i2i2−i2i2−i2i2−i2i2000000000000
χ442-222-22-2-2200-20-220i2−i2i2−i2i2−i2i2−i2-22-2200i2−i2i2−i20000-22-22−i2i2−i2i2−i2i2−i2i22-200000000−i2i2−i2i2i2−i2i2−i2000000000000
χ452-222-22-2-2200-20-220−i2i2−i2i2−i2i2−i2i22-22-200−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i22-200000000−i2i2−i2i2−i2i2−i2i2000000000000
χ462-222-22-2-2200-20-220−i2i2−i2i2−i2i2−i2i22-22-200−i2i2−i2i20000-22-22i2−i2i2−i2i2−i2i2−i2-2200000000−i2i2−i2i2i2−i2i2−i2000000000000
χ472-222-22-2-2200-20-220−i2i2−i2i2−i2i2−i2i2-22-2200−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i2-2200000000i2−i2i2−i2i2−i2i2−i2000000000000
χ482-222-22-2-2200-20-220−i2i2−i2i2−i2i2−i2i2-22-2200−i2i2−i2i20000-22-22i2−i2i2−i2i2−i2i2−i22-200000000i2−i2i2−i2−i2i2−i2i2000000000000
χ492-22-2-2-222222-2-22-2-22i−2i2i−2i−2i2i−2i2i0000-22−2i2i2i−2i000000000000000000000000000000000002i−2i02-2000000
χ502-22-2-2-222222-2-22-2-22i−2i2i−2i−2i2i−2i2i0000-22−2i2i2i−2i00000000000000000000000000000000000−2i2i0-22000000
χ512-22-2-2-222222-2-22-2-2−2i2i−2i2i2i−2i2i−2i0000-222i−2i−2i2i000000000000000000000000000000000002i−2i0-22000000
χ522-22-2-2-222222-2-22-2-2−2i2i−2i2i2i−2i2i−2i0000-222i−2i−2i2i00000000000000000000000000000000000−2i2i02-2000000
χ532-22-2-2-222-2222-2-22-22i−2i2i−2i−2i2i−2i2i2-2-222-22i−2i−2i2i000000000000000000002-200002i−2i−2i2i0000000000000000
χ542-22-2-2-222-2222-2-22-22i−2i2i−2i−2i2i−2i2i-222-22-22i−2i−2i2i00000000000000000000-220000−2i2i2i−2i0000000000000000
χ552-22-2-2-222-2222-2-22-2−2i2i−2i2i2i−2i2i−2i2-2-222-2−2i2i2i−2i000000000000000000002-20000−2i2i2i−2i0000000000000000
χ562-22-2-2-222-2222-2-22-2−2i2i−2i2i2i−2i2i−2i-222-22-2−2i2i2i−2i00000000000000000000-2200002i−2i−2i2i0000000000000000
χ572-22-2-2-222-2-2-222-222000000002-2-22-220000000000002-22-2-22-220000-22000000002-2-22000000000000
χ582-22-2-2-222-2-2-222-222000000002-2-22-22000000000000-22-222-22-20000-2200000000-222-2000000000000
χ592-22-2-2-222-2-2-222-22200000000-222-2-220000000000002-22-2-22-2200002-200000000-222-2000000000000
χ602-22-2-2-222-2-2-222-22200000000-222-2-22000000000000-22-222-22-200002-2000000002-2-22000000000000
χ6144444444-4-4-4-4-4-4-4-40000000000004400000000000000000000000000000000000000000000000000
χ62444-44-4-4-440040-4-4022222222−22−22−22−22000000−22−2222220000000000000000000000000000000000000000000000
χ63444-44-4-4-440040-4-40−22−22−22−22222222220000002222−22−220000000000000000000000000000000000000000000000
χ6444-44-4-4-44000000002i22i2−2i2−2i2−2i2−2i22i22i200000000002i2−2i2−2i22i20000-2-22222-2-2000000000000000000000000000000
χ6544-44-4-4-44000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000−2i22i22i2−2i2000022-2-2-2-222000000000000000000000000000000
χ6644-44-4-4-4400000000−2i2−2i22i22i22i22i2−2i2−2i200000000002i2−2i2−2i22i2000022-2-2-2-222000000000000000000000000000000
χ6744-44-4-4-4400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000−2i22i22i2−2i20000-2-22222-2-2000000000000000000000000000000
χ6844-4-4-444-40-440-400400000000000000000022−2222−22−22−22222200000000000000000000000000000000000000
χ6944-4-4-444-40-440-4004000000000000000000−2222−22222222−22−2200000000000000000000000000000000000000
χ704-444-44-4-4-400404-402i2−2i22i2−2i22i2−2i22i2−2i2000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ714-444-44-4-4-400404-40−2i22i2−2i22i2−2i22i2−2i22i20000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ724-44-4-4-4444-4-4-444-440000000000004-400000000000000000000000000000000000000000000000000
χ734-4-444-44-404-40-40044-4-44-444-400000000000000000000000000000000000000000000000000000000
χ744-4-444-44-404-40-4004-444-44-4-4400000000000000000000000000000000000000000000000000000000
χ754-4-444-44-40-440400-4000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ764-4-444-44-40-440400-400000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ774-4-4-444-440000000022−22−222222−22−22220000000000000022−22−22222-2-222-2-22000000000000000000000000000000
χ784-4-4-444-440000000022−22−222222−22−222200000000000000−222222−22-222-2-222-2000000000000000000000000000000
χ794-4-4-444-4400000000−222222−22−222222−220000000000000022−22−2222-222-2-222-2000000000000000000000000000000
χ804-4-4-444-4400000000−222222−22−222222−2200000000000000−222222−222-2-222-2-22000000000000000000000000000000

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