Finite Group Databasebeta

← Group #352254

Character table — Group #352254

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444443232323232323232
order12222244444444888888888888888888888888224444444488888888888888888888888888888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ911111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ1011111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-1-11-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-11-1-11
χ17222222222-2-2-2-2200000000000000002222-2-2-2-22222-2-2-2-2-2-20000000022-2-200000000000000002222-2-2-2-200000000
χ18222222222-2-2-2-2200000000000000002222-2-2-2-2-2-2-2-2-2-222220000000022-2-20000000000000000-2-2-2-2222200000000
χ19222222222-2-2-2-220000000000000000-2-2-2-222222222-2-2-2-2-2-200000000-2-2220000000000000000-2-2-2-2222200000000
χ20222222222-2-2-2-220000000000000000-2-2-2-22222-2-2-2-2-2-2222200000000-2-22200000000000000002222-2-2-2-200000000
χ21222222-2-2-222-2-2-2000000002222-2-2-2-20000000000002-20000000022-2-200002i2i2i2i−2i−2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000
χ22222222-2-2-222-2-2-2000000002222-2-2-2-20000000000002-20000000022-2-20000−2i−2i−2i−2i2i2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000
χ23222222-2-2-222-2-2-200000000-2-2-2-222220000000000002-200000000-2-22200002i2i2i2i−2i−2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i00000000
χ24222222-2-2-222-2-2-200000000-2-2-2-222220000000000002-200000000-2-2220000−2i−2i−2i−2i2i2i2i2i000000002i2i−2i−2i2i2i−2i−2i00000000
χ25222222-2-2-2-2-222-22222-2-2-2-200000000000000000000-22000022-2-200000000000000002i2i2i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000
χ26222222-2-2-2-2-222-22222-2-2-2-200000000000000000000-22000022-2-20000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i00000000
χ27222222-2-2-2-2-222-2-2-2-2-2222200000000000000000000-220000-2-22200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000
χ28222222-2-2-2-2-222-2-2-2-2-2222200000000000000000000-220000-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i00000000
χ292222-2-22-2-222-2-22000000002222-2-2-2-20000000022-2-2-2222-2-20000-2-22200000000000022-2-222-2-20000000000000000
χ302222-2-22-2-222-2-22000000002222-2-2-2-200000000-2-222-22-2-2220000-2-222000000000000-2-222-2-2220000000000000000
χ312222-2-22-2-222-2-2200000000-2-2-2-222220000000022-2-2-2222-2-2000022-2-2000000000000-2-222-2-2220000000000000000
χ322222-2-22-2-222-2-2200000000-2-2-2-2222200000000-2-222-22-2-222000022-2-200000000000022-2-222-2-20000000000000000
χ332222-2-22-2-2-2-22222222-2-2-2-2000000000000000022-2-22-2-2-222-2-2220000000022-2-222-2-2000000000000000000000000
χ342222-2-22-2-2-2-22222222-2-2-2-20000000000000000-2-2222-222-2-2-2-22200000000-2-222-2-222000000000000000000000000
χ352222-2-22-2-2-2-2222-2-2-2-22222000000000000000022-2-22-2-2-22222-2-200000000-2-222-2-222000000000000000000000000
χ362222-2-22-2-2-2-2222-2-2-2-222220000000000000000-2-2222-222-2-222-2-20000000022-2-222-2-2000000000000000000000000
χ372222-2-2-2222222-22222222222222222222222220000-2-20000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ382222-2-2-2222222-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000-2-2-2-22222222200000000000000000000000000000000
χ392222-2-2-2222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000-2-200002222-2-2-2-2222200000000000000000000000000000000
χ402222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000-2-2000022222222-2-2-2-200000000000000000000000000000000
χ412222-2-2-222-2-2-2-2-200000000000000002222-2-2-2-2000022000000000000-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ422222-2-2-222-2-2-2-2-200000000000000002222-2-2-2-2000022000000000000-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ432222-2-2-222-2-2-2-2-20000000000000000-2-2-2-2222200002200000000000022-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ442222-2-2-222-2-2-2-2-20000000000000000-2-2-2-2222200002200000000000022-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ4522-2-22-222-20000-222−2−222−2−222−2−222−2−2000022-2-22-22-20000002−22−22−22−2002-22−22−22−22−22−22−22−22−200002-22-200000000
χ4622-2-22-222-20000-222−2−222−2−222−2−222−2−2000022-2-2-22-220000002−22−22−22−2002-2−22−22−22−22−22−22−22−220000-22-2200000000
χ4722-2-22-222-20000-222−2−222−2−2−2−222−2−2220000-2-2222-22-20000002−22−2−22−2200-222−22−22−22−2−22−22−22−220000-22-2200000000
χ4822-2-22-222-20000-222−2−222−2−2−2−222−2−2220000-2-222-22-220000002−22−2−22−2200-22−22−22−22−222−22−22−22−200002-22-200000000
χ4922-2-22-222-20000-2−2−222−2−22222−2−222−2−20000-2-2222-22-2000000−22−222−22−200-22−22−22−22−222−22−22−22−20000-22-2200000000
χ5022-2-22-222-20000-2−2−222−2−22222−2−222−2−20000-2-222-22-22000000−22−222−22−200-222−22−22−22−2−22−22−22−2200002-22-200000000
χ5122-2-22-222-20000-2−2−222−2−222−2−222−2−222000022-2-22-22-2000000−22−22−22−22002-2−22−22−22−22−22−22−22−2200002-22-200000000
χ5222-2-22-222-20000-2−2−222−2−222−2−222−2−222000022-2-2-22-22000000−22−22−22−22002-22−22−22−22−22−22−22−22−20000-22-2200000000
χ5322-2-22-2-2-220000222−2−2−2−22222−2−2−2−22222-2-200000000002i−2i2i−2i2−2−222−2−222-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200002i−2i−2i2i00000000
χ5422-2-22-2-2-220000222−2−2−2−22222−2−2−2−22222-2-20000000000−2i2i−2i2i2−2−222−2−222-200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000−2i2i2i−2i00000000
χ5522-2-22-2-2-220000222−2−2−2−222−2−22222−2−2-2-22200000000002i−2i2i−2i2−2−22−222−2-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000−2i2i2i−2i00000000
χ5622-2-22-2-2-220000222−2−2−2−222−2−22222−2−2-2-2220000000000−2i2i−2i2i2−2−22−222−2-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200002i−2i−2i2i00000000
χ5722-2-22-2-2-2200002−2−22222−2−222−2−2−2−222-2-22200000000002i−2i2i−2i−222−22−2−22-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000−2i2i2i−2i00000000
χ5822-2-22-2-2-2200002−2−22222−2−222−2−2−2−222-2-2220000000000−2i2i−2i2i−222−22−2−22-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200002i−2i−2i2i00000000
χ5922-2-22-2-2-2200002−2−22222−2−2−2−22222−2−222-2-200000000002i−2i2i−2i−222−2−222−22-200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200002i−2i−2i2i00000000
χ6022-2-22-2-2-2200002−2−22222−2−2−2−22222−2−222-2-20000000000−2i2i−2i2i−222−2−222−22-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000−2i2i2i−2i00000000
χ6122-2-2-222-220000-222−2−2−2−22222−2−2−2−22222-2-200002-2-22000000−222−2−222−2-22002−2−222−2−222−2−222−2−222-22-2000000000000
χ6222-2-2-222-220000-222−2−2−2−22222−2−2−2−22222-2-20000-222-2000000−222−2−222−2-2200−222−2−222−2−222−2−222−2-22-22000000000000
χ6322-2-2-222-220000-222−2−2−2−222−2−22222−2−2-2-22200002-2-22000000−222−22−2−222-2002−2−222−2−22−222−2−222−2-22-22000000000000
χ6422-2-2-222-220000-222−2−2−2−222−2−22222−2−2-2-2220000-222-2000000−222−22−2−222-200−222−2−222−22−2−222−2−222-22-2000000000000
χ6522-2-2-222-220000-2−2−22222−2−222−2−2−2−222-2-22200002-2-220000002−2−22−222−22-200−222−2−222−22−2−222−2−22-22-22000000000000
χ6622-2-2-222-220000-2−2−22222−2−222−2−2−2−222-2-2220000-222-20000002−2−22−222−22-2002−2−222−2−22−222−2−222−22-22-2000000000000
χ6722-2-2-222-220000-2−2−22222−2−2−2−22222−2−222-2-200002-2-220000002−2−222−2−22-2200−222−2−222−2−222−2−222−22-22-2000000000000
χ6822-2-2-222-220000-2−2−22222−2−2−2−22222−2−222-2-20000-222-20000002−2−222−2−22-22002−2−222−2−222−2−222−2−22-22-22000000000000
χ6922-2-2-22-22-20000222−2−222−2−222−2−222−2−2000022-2-20000002i−2i−2i2i−22−22−22−2200-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i000000000000
χ7022-2-2-22-22-20000222−2−222−2−222−2−222−2−2000022-2-2000000−2i2i2i−2i−22−22−22−2200-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22i−2i−2i2i000000000000
χ7122-2-2-22-22-20000222−2−222−2−2−2−222−2−2220000-2-2220000002i−2i−2i2i−22−222−22−2002-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22i−2i−2i2i000000000000
χ7222-2-2-22-22-20000222−2−222−2−2−2−222−2−2220000-2-222000000−2i2i2i−2i−22−222−22−2002-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i000000000000
χ7322-2-2-22-22-200002−2−222−2−22222−2−222−2−20000-2-2220000002i−2i−2i2i2−22−2−22−22002-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22i−2i−2i2i000000000000
χ7422-2-2-22-22-200002−2−222−2−22222−2−222−2−20000-2-222000000−2i2i2i−2i2−22−2−22−22002-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i000000000000
χ7522-2-2-22-22-200002−2−222−2−222−2−222−2−222000022-2-20000002i−2i−2i2i2−22−22−22−200-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i000000000000
χ7622-2-2-22-22-200002−2−222−2−222−2−222−2−222000022-2-2000000−2i2i2i−2i2−22−22−22−200-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22i−2i−2i2i000000000000
χ774-44-400000004-4000004i−4i4i−4i2i2−2i22i2−2i22i2−2i22i2−2i222−2222−2222−2222−22000000000000000000000000000000000000000000000000000000
χ784-44-400000004-4000004i−4i4i−4i−2i22i2−2i22i2−2i22i2−2i22i2−2222−2222−2222−2222000000000000000000000000000000000000000000000000000000
χ794-44-400000004-400000−4i4i−4i4i2i2−2i22i2−2i22i2−2i22i2−2i2−2222−2222−2222−2222000000000000000000000000000000000000000000000000000000
χ804-44-400000004-400000−4i4i−4i4i−2i22i2−2i22i2−2i22i2−2i22i222−2222−2222−2222−22000000000000000000000000000000000000000000000000000000
χ814-44-40000000-4404i−4i4i−4i00002i2−2i22i2−2i2−2i22i2−2i22i222−2222−22−2222−2222000000000000000000000000000000000000000000000000000000
χ824-44-40000000-4404i−4i4i−4i0000−2i22i2−2i22i22i2−2i22i2−2i2−2222−222222−2222−22000000000000000000000000000000000000000000000000000000
χ834-44-40000000-440−4i4i−4i4i00002i2−2i22i2−2i2−2i22i2−2i22i2−2222−222222−2222−22000000000000000000000000000000000000000000000000000000
χ844-44-40000000-440−4i4i−4i4i0000−2i22i2−2i22i22i2−2i22i2−2i222−2222−22−2222−2222000000000000000000000000000000000000000000000000000000
χ854-4-44000004-40002i2−2i2−2i22i22i2−2i2−2i22i200004i−4i−4i4i22−22−222222−22−2222000000000000000000000000000000000000000000000000000000
χ864-4-44000004-40002i2−2i2−2i22i22i2−2i2−2i22i20000−4i4i4i−4i−222222−22−222222−22000000000000000000000000000000000000000000000000000000
χ874-4-44000004-4000−2i22i22i2−2i2−2i22i22i2−2i200004i−4i−4i4i−222222−22−222222−22000000000000000000000000000000000000000000000000000000
χ884-4-44000004-4000−2i22i22i2−2i2−2i22i22i2−2i20000−4i4i4i−4i22−22−222222−22−2222000000000000000000000000000000000000000000000000000000
χ894-4-4400000-440002i2−2i2−2i22i2−2i22i22i2−2i24i−4i−4i4i000022−22−2222−222222−22000000000000000000000000000000000000000000000000000000
χ904-4-4400000-440002i2−2i2−2i22i2−2i22i22i2−2i2−4i4i4i−4i0000−222222−2222−22−2222000000000000000000000000000000000000000000000000000000
χ914-4-4400000-44000−2i22i22i2−2i22i2−2i2−2i22i24i−4i−4i4i0000−222222−2222−22−2222000000000000000000000000000000000000000000000000000000
χ924-4-4400000-44000−2i22i22i2−2i22i2−2i2−2i22i2−4i4i4i−4i000022−22−2222−222222−22000000000000000000000000000000000000000000000000000000

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