Finite Group Databasebeta

← Group #278046

Character table — Group #278046

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order12222222444444444444444488888888224444888888888888444444448888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11
χ10111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ11111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1
χ12111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11
χ13111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1
χ14111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11
χ15111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ16111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1
χ172222222222222-2-2-2-2-2-2222-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-22222222-2-222222222-2-222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2122222222-22222222222-2-2-22200000000-2-2-2-2-2-20000000000002222-2-2-2-20000000000000000000000000000
χ2222222222-22222222222-2-2-22200000000-2-2-2-2-2-2000000000000-2-2-2-222220000000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-2-2-200000000-2-22222000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ2422222222-22222-2-2-2-2-2-2-2-2-2-2-200000000-2-2222200000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ2522222222-2-2-2-2-222-2-2-2-2-2-2-222000000002222-2-200000000000022-2-2-2-2220000000000000000000000000000
χ2622222222-2-2-2-2-222-2-2-2-2-2-2-222000000002222-2-2000000000000-2-22222-2-20000000000000000000000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-2-2-20000000022-2-222000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ2822222222-2-2-2-2-2-2-22222-2-2-2-2-20000000022-2-22200000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ29222-22-2-2-2-222-2-20000002-22002i2i2i2i−2i−2i−2i−2i2-200002i2i−2i−2i000000000000000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000
χ30222-22-2-2-2-222-2-20000002-22002i2i2i2i−2i−2i−2i−2i2-200002i2i−2i−2i000000000000000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000
χ31222-22-2-2-2-222-2-20000002-2200−2i−2i−2i−2i2i2i2i2i2-20000−2i−2i2i2i000000000000000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000
χ32222-22-2-2-2-222-2-20000002-2200−2i−2i−2i−2i2i2i2i2i2-20000−2i−2i2i2i000000000000000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000
χ33222-22-2-2-2-2-2-2220000002-22002i2i2i2i−2i−2i−2i−2i-220000−2i−2i2i2i000000000000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−2220000
χ34222-22-2-2-2-2-2-2220000002-22002i2i2i2i−2i−2i−2i−2i-220000−2i−2i2i2i000000000000000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000
χ35222-22-2-2-2-2-2-2220000002-2200−2i−2i−2i−2i2i2i2i2i-2200002i2i−2i−2i000000000000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000
χ36222-22-2-2-2-2-2-2220000002-2200−2i−2i−2i−2i2i2i2i2i-2200002i2i−2i−2i000000000000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000
χ3722-2-2-222-202i−2i2i−2i2-22i2i−2i−2i0002-2i2i2−i2−i2i2i2−i2−i20000002−22−2i2i2−i2−i222−2−200002-22i−2ii2−i2i2−i22−22−200000000000000000000
χ3822-2-2-222-202i−2i2i−2i2-22i2i−2i−2i0002-2i2i2−i2−i2i2i2−i2−i20000002−22−2i2i2−i2−i222−2−20000-22−2i2i−i2i2−i2i2−22−2200000000000000000000
χ3922-2-2-222-202i−2i2i−2i2-22i2i−2i−2i0002-2−i2−i2i2i2−i2−i2i2i2000000−22−22−i2−i2i2i2−2−22200002-22i−2i−i2i2−i2i2−22−2200000000000000000000
χ4022-2-2-222-202i−2i2i−2i2-22i2i−2i−2i0002-2−i2−i2i2i2−i2−i2i2i2000000−22−22−i2−i2i2i2−2−2220000-22−2i2ii2−i2i2−i22−22−200000000000000000000
χ4122-2-2-222-202i−2i2i−2i-22−2i−2i2i2i000-22i2i2−i2−i2i2i2−i2−i20000002−22−2−i2−i2i2i2−2−2222i−2i2-200002−2−22−i2i2i2−i200000000000000000000
χ4222-2-2-222-202i−2i2i−2i-22−2i−2i2i2i000-22i2i2−i2−i2i2i2−i2−i20000002−22−2−i2−i2i2i2−2−222−2i2i-220000−222−2i2−i2−i2i200000000000000000000
χ4322-2-2-222-202i−2i2i−2i-22−2i−2i2i2i000-22−i2−i2i2i2−i2−i2i2i2000000−22−22i2i2−i2−i222−2−22i−2i2-20000−222−2i2−i2−i2i200000000000000000000
χ4422-2-2-222-202i−2i2i−2i-22−2i−2i2i2i000-22−i2−i2i2i2−i2−i2i2i2000000−22−22i2i2−i2−i222−2−2−2i2i-2200002−2−22−i2i2i2−i200000000000000000000
χ4522-2-2-222-20−2i2i−2i2i2-2−2i−2i2i2i0002-2i2i2−i2−i2i2i2−i2−i2000000−22−22i2i2−i2−i2−2−22200002-2−2i2ii2−i2i2−i2−22−2200000000000000000000
χ4622-2-2-222-20−2i2i−2i2i2-2−2i−2i2i2i0002-2i2i2−i2−i2i2i2−i2−i2000000−22−22i2i2−i2−i2−2−2220000-222i−2i−i2i2−i2i22−22−200000000000000000000
χ4722-2-2-222-20−2i2i−2i2i2-2−2i−2i2i2i0002-2−i2−i2i2i2−i2−i2i2i20000002−22−2−i2−i2i2i222−2−200002-2−2i2i−i2i2−i2i22−22−200000000000000000000
χ4822-2-2-222-20−2i2i−2i2i2-2−2i−2i2i2i0002-2−i2−i2i2i2−i2−i2i2i20000002−22−2−i2−i2i2i222−2−20000-222i−2ii2−i2i2−i2−22−2200000000000000000000
χ4922-2-2-222-20−2i2i−2i2i-222i2i−2i−2i000-22i2i2−i2−i2i2i2−i2−i2000000−22−22−i2−i2i2i222−2−22i−2i-2200002−2−22i2−i2−i2i200000000000000000000
χ5022-2-2-222-20−2i2i−2i2i-222i2i−2i−2i000-22i2i2−i2−i2i2i2−i2−i2000000−22−22−i2−i2i2i222−2−2−2i2i2-20000−222−2−i2i2i2−i200000000000000000000
χ5122-2-2-222-20−2i2i−2i2i-222i2i−2i−2i000-22−i2−i2i2i2−i2−i2i2i20000002−22−2i2i2−i2−i2−2−2222i−2i-220000−222−2−i2i2i2−i200000000000000000000
χ5222-2-2-222-20−2i2i−2i2i-222i2i−2i−2i000-22−i2−i2i2i2−i2−i2i2i20000002−22−2i2i2−i2−i2−2−222−2i2i2-200002−2−22i2−i2−i2i200000000000000000000
χ532-222-2-22-220000002i−2i2i−2i-2-22002i−2i2i−2i2i−2i2i−2i002i−2i00000000002-22-200000000000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−20000
χ542-222-2-22-220000002i−2i2i−2i-2-22002i−2i2i−2i2i−2i2i−2i002i−2i00000000002-22-20000000000000000−22−22−i2i2−i2i2−i2i2−i2i2−22−220000
χ552-222-2-22-220000002i−2i2i−2i-2-2200−2i2i−2i2i−2i2i−2i2i002i−2i0000000000-22-2200000000000000002−22−2i2−i2i2−i2−i2i2−i2i2−22−220000
χ562-222-2-22-220000002i−2i2i−2i-2-2200−2i2i−2i2i−2i2i−2i2i002i−2i0000000000-22-220000000000000000−22−22−i2i2−i2i2i2−i2i2−i22−22−20000
χ572-222-2-22-22000000−2i2i−2i2i-2-22002i−2i2i−2i2i−2i2i−2i00−2i2i0000000000-22-2200000000000000002−22−2−i2i2−i2i2i2−i2i2−i2−22−220000
χ582-222-2-22-22000000−2i2i−2i2i-2-22002i−2i2i−2i2i−2i2i−2i00−2i2i0000000000-22-220000000000000000−22−22i2−i2i2−i2−i2i2−i2i22−22−20000
χ592-222-2-22-22000000−2i2i−2i2i-2-2200−2i2i−2i2i−2i2i−2i2i00−2i2i00000000002-22-200000000000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−20000
χ602-222-2-22-22000000−2i2i−2i2i-2-2200−2i2i−2i2i−2i2i−2i2i00−2i2i00000000002-22-20000000000000000−22−22i2−i2i2−i2i2−i2i2−i2−22−220000
χ612-22-2-22-22-20000220000-222-2-22-22-2-22-2200002-200002-22-2000000000000000000002i−2i−2i2i0000−2i2i2i−2i00000000
χ622-22-2-22-22-20000220000-222-2-22-22-2-22-2200002-200002-22-200000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000
χ632-22-2-22-22-20000220000-222-2-2-22-222-22-200002-20000-22-22000000000000000000002i−2i−2i2i00002i−2i−2i2i00000000
χ642-22-2-22-22-20000220000-222-2-2-22-222-22-200002-20000-22-2200000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000
χ652-22-2-22-22-20000-2-20000-222222-22-2-22-220000-220000-22-220000000000000000000000002-2-2200002-2-220000
χ662-22-2-22-22-20000-2-20000-222222-22-2-22-220000-220000-22-22000000000000000000000000-222-20000-222-20000
χ672-22-2-22-22-20000-2-20000-22222-22-222-22-20000-2200002-22-20000000000000000000000002-2-220000-222-20000
χ682-22-2-22-22-20000-2-20000-22222-22-222-22-20000-2200002-22-2000000000000000000000000-222-200002-2-220000
χ69444-44-4-4-4444-4-4000000-44-40000000000-440000000000000000000000000000000000000000000000000000
χ70444-44-4-4-44-4-444000000-44-400000000004-40000000000000000000000000000000000000000000000000000
χ7144-44-4-4-4404i−4i−4i4i000000000002222−22−22−22−222222000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ7244-44-4-4-4404i−4i−4i4i00000000000−22−2222222222−22−220000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ7344-44-4-4-440−4i4i4i−4i000000000002222−22−22−22−2222220000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ7444-44-4-4-440−4i4i4i−4i00000000000−22−2222222222−22−22000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ754-444-4-44-4-40000004i−4i4i−4i44-4000000000000−4i4i00000000000000000000000000000000000000000000000000
χ764-444-4-44-4-4000000−4i4i−4i4i44-40000000000004i−4i00000000000000000000000000000000000000000000000000
χ774-44-4-44-44400004400004-4-4-4-4000000000000-44000000000000000000000000000000000000000000000000
χ784-44-4-44-4440000-4-400004-4-4440000000000004-4000000000000000000000000000000000000000000000000
χ794-4-4444-4-4000004-40000000-442i2−2i2−2i22i2−2i22i22i2−2i200000000002i2−2i2−2i22i20000000000000000000000000000000000000000
χ804-4-4444-4-4000004-40000000-44−2i22i22i2−2i22i2−2i2−2i22i20000000000−2i22i22i2−2i20000000000000000000000000000000000000000
χ814-4-4444-4-400000-4400000004-42i2−2i2−2i22i2−2i22i22i2−2i20000000000−2i22i22i2−2i20000000000000000000000000000000000000000
χ824-4-4444-4-400000-4400000004-4−2i22i22i2−2i22i2−2i2−2i22i200000000002i2−2i2−2i22i20000000000000000000000000000000000000000
χ834-4-4-44-44400000004-4-440000022−22−222222−22−22220000000000000022−22−2222000000000000000000000000000000000000
χ844-4-4-44-44400000004-4-4400000−222222−22−222222−2200000000000000−222222−22000000000000000000000000000000000000
χ854-4-4-44-4440000000-444-40000022−22−222222−22−222200000000000000−222222−22000000000000000000000000000000000000
χ864-4-4-44-4440000000-444-400000−222222−22−222222−220000000000000022−22−2222000000000000000000000000000000000000

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