Finite Group Databasebeta

← Group #352029

Character table — Group #352029

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444443232323232323232
order12222222444444444444888888888888888822444444888888888888888888888888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ1211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-111-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-11-1-11
χ172222222222-2-2-2-222-2-2-2-200000000000000002222-2-2-2-200000000000000002222-2-2-2-2000000002222-2-2-2-200000000
χ182222222222-2-2-2-222-2-2-2-200000000000000002222-2-2-2-20000000000000000-2-2-2-2222200000000-2-2-2-2222200000000
χ192222222222-2-2-2-222-2-2-2-20000000000000000-2-2-2-2222200000000000000002222-2-2-2-200000000-2-2-2-2222200000000
χ202222222222-2-2-2-222-2-2-2-20000000000000000-2-2-2-222220000000000000000-2-2-2-22222000000002222-2-2-2-200000000
χ2122222222-2-222-2-2-2-222-2-2000000000000000022-2-222-2-2000000002222-2-2-2-2000000002222-2-2-2-20000000000000000
χ2222222222-2-222-2-2-2-222-2-2000000000000000022-2-222-2-200000000-2-2-2-2222200000000-2-2-2-222220000000000000000
χ2322222222-2-222-2-2-2-222-2-20000000000000000-2-222-2-222000000002222-2-2-2-200000000-2-2-2-222220000000000000000
χ2422222222-2-222-2-2-2-222-2-20000000000000000-2-222-2-22200000000-2-2-2-22222000000002222-2-2-2-20000000000000000
χ2522222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-20000000000000000000000000000000000000000
χ2622222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2722222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222222222-2-2-2-222-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-22222-2-22222-2-2-2-20000000000000000000000000000000000000000
χ2922-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000
χ3022-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000
χ3122-2-2-2-2222222-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000
χ3222-2-2-2-2222222-2-2-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000
χ3322-2-2-2-22222-2-222-2-222-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ3422-2-2-2-22222-2-222-2-222-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i-2-222-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ3522-2-2-2-22222-2-222-2-222-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i22-2-222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ3622-2-2-2-22222-2-222-2-222-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i-2-222-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ3722-2-2-2-222-2-2222222-2-2-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000022-2-222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000
χ3822-2-2-2-222-2-2222222-2-2-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000-2-222-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000
χ3922-2-2-2-222-2-2222222-2-2-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000022-2-222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000
χ4022-2-2-2-222-2-2222222-2-2-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000-2-222-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000
χ4122-2-2-2-222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000000022-2-2-2-222-2-22222-2-2000000000000000000000000
χ4222-2-2-2-222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222220000000000000000-2-22222-2-222-2-2-2-222000000000000000000000000
χ4322-2-2-2-222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-2000000000000000022-2-2-2-22222-2-2-2-222000000000000000000000000
χ4422-2-2-2-222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-20000000000000000-2-22222-2-2-2-22222-2-2000000000000000000000000
χ452-222-2-22-2002-200002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i002i−2i2−22−22−22−200002i−2i2i−2i2−22−22−22−22-22-20000i2−i2i2−i2i2−i2i2−i200000000
χ462-222-2-22-2002-200002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i002i−2i2−22−22−22−20000−2i2i−2i2i−22−22−22−22-22-220000−i2i2−i2i2−i2i2−i2i200000000
χ472-222-2-22-2002-200002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i00−2i2i−22−22−22−2200002i−2i2i−2i2−22−22−22−2-22-220000−i2i2−i2i2−i2i2−i2i200000000
χ482-222-2-22-2002-200002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i00−2i2i−22−22−22−220000−2i2i−2i2i−22−22−22−222-22-20000i2−i2i2−i2i2−i2i2−i200000000
χ492-222-2-22-2002-200002-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i−22−22−22−2200002i−2i2i−2i−22−22−22−222-22-20000−i2i2−i2i2−i2i2−i2i200000000
χ502-222-2-22-2002-200002-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i−22−22−22−220000−2i2i−2i2i2−22−22−22−2-22-220000i2−i2i2−i2i2−i2i2−i200000000
χ512-222-2-22-2002-200002-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i00−2i2i2−22−22−22−200002i−2i2i−2i−22−22−22−22-22-220000i2−i2i2−i2i2−i2i2−i200000000
χ522-222-2-22-2002-200002-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i00−2i2i2−22−22−22−20000−2i2i−2i2i2−22−22−22−22-22-20000−i2i2−i2i2−i2i2−i2i200000000
χ532-222-2-22-200-220000-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2002i−2i00−2i2i−22−222−22−22i−2i2i−2i00002−22−2−22−2200002-22-2i2−i2i2−i2−i2i2−i2i200000000
χ542-222-2-22-200-220000-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2002i−2i00−2i2i−22−222−22−2−2i2i−2i2i0000−22−222−22−20000-22-22−i2i2−i2i2i2−i2i2−i200000000
χ552-222-2-22-200-220000-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200−2i2i002i−2i2−22−2−22−222i−2i2i−2i00002−22−2−22−220000-22-22−i2i2−i2i2i2−i2i2−i200000000
χ562-222-2-22-200-220000-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200−2i2i002i−2i2−22−2−22−22−2i2i−2i2i0000−22−222−22−200002-22-2i2−i2i2−i2−i2i2−i2i200000000
χ572-222-2-22-200-220000-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2002i−2i00−2i2i2−22−2−22−222i−2i2i−2i0000−22−222−22−200002-22-2−i2i2−i2i2i2−i2i2−i200000000
χ582-222-2-22-200-220000-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2002i−2i00−2i2i2−22−2−22−22−2i2i−2i2i00002−22−2−22−220000-22-22i2−i2i2−i2−i2i2−i2i200000000
χ592-222-2-22-200-220000-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200−2i2i002i−2i−22−222−22−22i−2i2i−2i0000−22−222−22−20000-22-22i2−i2i2−i2−i2i2−i2i200000000
χ602-222-2-22-200-220000-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200−2i2i002i−2i−22−222−22−2−2i2i−2i2i00002−22−2−22−2200002-22-2−i2i2−i2i2i2−i2i2−i200000000
χ612-2-2-2222-2002-20000-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-2002-200i2−i2−i2i2−i2i2i2−i22i−2i−2i2i0000−222−2−222−2−2i2i2i−2i00002−2−222−2−2200000000
χ622-2-2-2222-2002-20000-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-2002-200i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i00002−2−222−2−222i−2i−2i2i0000−222−2−222−200000000
χ632-2-2-2222-2002-20000-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-2200-2200−i2i2i2−i2i2−i2−i2i22i−2i−2i2i0000−222−2−222−22i−2i−2i2i0000−222−2−222−200000000
χ642-2-2-2222-2002-20000-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-2200-2200−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i00002−2−222−2−22−2i2i2i−2i00002−2−222−2−2200000000
χ652-2-2-2222-2002-20000-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-2002-200−i2i2i2−i2i2−i2−i2i22i−2i−2i2i00002−2−222−2−22−2i2i2i−2i0000−222−2−222−200000000
χ662-2-2-2222-2002-20000-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-2002-200−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i0000−222−2−222−22i−2i−2i2i00002−2−222−2−2200000000
χ672-2-2-2222-2002-20000-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-2200-2200i2−i2−i2i2−i2i2i2−i22i−2i−2i2i00002−2−222−2−222i−2i−2i2i00002−2−222−2−2200000000
χ682-2-2-2222-2002-20000-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-2200-2200i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i0000−222−2−222−2−2i2i2i−2i0000−222−2−222−200000000
χ692-2-2-2222-200-2200002-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22-200-2200i2−i2−i2i2i2−i2−i2i200002i−2i−2i2i2−2−22−222−200002i−2i−2i2i−222−22−2−2200000000
χ702-2-2-2222-200-2200002-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22-200-2200i2−i2−i2i2i2−i2−i2i20000−2i2i2i−2i−222−22−2−220000−2i2i2i−2i2−2−22−222−200000000
χ712-2-2-2222-200-2200002-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-22002-200−i2i2i2−i2−i2i2i2−i200002i−2i−2i2i2−2−22−222−20000−2i2i2i−2i2−2−22−222−200000000
χ722-2-2-2222-200-2200002-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-22002-200−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i−222−22−2−2200002i−2i−2i2i−222−22−2−2200000000
χ732-2-2-2222-200-2200002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22-200-2200−i2i2i2−i2−i2i2i2−i200002i−2i−2i2i−222−22−2−2200002i−2i−2i2i2−2−22−222−200000000
χ742-2-2-2222-200-2200002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22-200-2200−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i2−2−22−222−20000−2i2i2i−2i−222−22−2−2200000000
χ752-2-2-2222-200-2200002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-22002-200i2−i2−i2i2i2−i2−i2i200002i−2i−2i2i−222−22−2−220000−2i2i2i−2i−222−22−2−2200000000
χ762-2-2-2222-200-2200002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-22002-200i2−i2−i2i2i2−i2−i2i20000−2i2i2i−2i2−2−22−222−200002i−2i−2i2i2−2−22−222−200000000
χ77444-44-4-4-44-400004-4000022−2222−2222−2222−2222−2222−2222−2222−2200000000000000000000000000000000000000000000000000000000
χ78444-44-4-4-44-400004-40000−2222−2222−2222−2222−2222−2222−2222−222200000000000000000000000000000000000000000000000000000000
χ79444-44-4-4-4-440000-44000022−2222−2222−2222−22−2222−2222−2222−222200000000000000000000000000000000000000000000000000000000
χ80444-44-4-4-4-440000-440000−2222−2222−2222−222222−2222−2222−2222−2200000000000000000000000000000000000000000000000000000000
χ8144-44-44-4-44-40000-44000022−2222−22−2222−222222−2222−22−2222−222200000000000000000000000000000000000000000000000000000000
χ8244-44-44-4-44-40000-440000−2222−222222−2222−22−2222−222222−2222−2200000000000000000000000000000000000000000000000000000000
χ8344-44-44-4-4-4400004-4000022−2222−22−2222−2222−2222−222222−2222−2200000000000000000000000000000000000000000000000000000000
χ8444-44-44-4-4-4400004-40000−2222−222222−2222−2222−2222−22−2222−222200000000000000000000000000000000000000000000000000000000
χ854-44-4-44-4400004-400004-4000000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ864-44-4-44-4400004-400004-400000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ874-44-4-44-440000-440000-444i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ884-44-4-44-440000-440000-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ894-4-444-4-4400004-40000-444i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ904-4-444-4-4400004-40000-44−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ914-4-444-4-440000-4400004-4000000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ924-4-444-4-440000-4400004-400000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000

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