Finite Group Databasebeta

← Group #845274

Character table — Group #845274

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111111111111111111111111111111888888888888888888888888888888888888888888888888888888888888
order12222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ191111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ201111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ231111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ241111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111
χ3322-22-2-222-2-222-2-22-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000002i−2i2-200002-22i−2i00002i−2i2-200000000
χ3422-22-2-222-2-222-2-22-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000002i−2i2-20000-22−2i2i0000−2i2i-2200000000
χ3522-22-2-222-2-222-2-22-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000000000000000000000−2i2i-2200002-22i−2i0000−2i2i-2200000000
χ3622-22-2-222-2-222-2-22-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000000000000000000000−2i2i-220000-22−2i2i00002i−2i2-200000000
χ3722-22-2-222-2-222-2-22-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000000000000000002i−2i-2200002-2−2i2i00002i−2i-2200000000
χ3822-22-2-222-2-222-2-22-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000000000000000002i−2i-220000-222i−2i0000−2i2i2-200000000
χ3922-22-2-222-2-222-2-22-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000000000000000000000−2i2i2-200002-2−2i2i0000−2i2i2-200000000
χ4022-22-2-222-2-222-2-22-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000000000000000000000−2i2i2-20000-222i−2i00002i−2i-2200000000
χ412-222-2-222-2-2-2-222-222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-22i−2i2-22i−2i0000000000002-22i−2i000000000000000000000000000000000000
χ422-222-2-222-2-2-2-222-222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-22i−2i-22−2i2i000000000000-22−2i2i000000000000000000000000000000000000
χ432-222-2-222-2-2-2-222-222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-22−2i2i2-22i−2i000000000000-22−2i2i000000000000000000000000000000000000
χ442-222-2-222-2-2-2-222-222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-22−2i2i-22−2i2i0000000000002-22i−2i000000000000000000000000000000000000
χ452-222-2-222-2-2-2-222-22−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2-2−2i2i2-2−2i2i0000000000002-2−2i2i000000000000000000000000000000000000
χ462-222-2-222-2-2-2-222-22−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2-2−2i2i-222i−2i000000000000-222i−2i000000000000000000000000000000000000
χ472-222-2-222-2-2-2-222-22−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-222i−2i2-2−2i2i000000000000-222i−2i000000000000000000000000000000000000
χ482-222-2-222-2-2-2-222-22−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-222i−2i-222i−2i0000000000002-2−2i2i000000000000000000000000000000000000
χ492-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000002i−2i2-2000000000000000000000000000000002i−2i2-200002-22i−2i0000
χ502-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000002i−2i2-200000000000000000000000000000000−2i2i-220000-22−2i2i0000
χ512-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i-22000000000000000000000000000000002i−2i2-20000-22−2i2i0000
χ522-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i-2200000000000000000000000000000000−2i2i-2200002-22i−2i0000
χ532-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000002i−2i-22000000000000000000000000000000002i−2i-2200002-2−2i2i0000
χ542-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000002i−2i-2200000000000000000000000000000000−2i2i2-20000-222i−2i0000
χ552-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000−2i2i2-2000000000000000000000000000000002i−2i-220000-222i−2i0000
χ562-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000−2i2i2-200000000000000000000000000000000−2i2i2-200002-2−2i2i0000
χ572-22-22-2-22-22-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2-200002i−2i2-2000000002-22i−2i00000000000000000000
χ582-22-22-2-22-22-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2-20000−2i2i-2200000000-22−2i2i00000000000000000000
χ592-22-22-2-22-22-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i-2200002i−2i2-200000000-22−2i2i00000000000000000000
χ602-22-22-2-22-22-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i-220000−2i2i-22000000002-22i−2i00000000000000000000
χ612-22-22-2-22-22-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i-2200002i−2i-22000000002-2−2i2i00000000000000000000
χ622-22-22-2-22-22-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i-220000−2i2i2-200000000-222i−2i00000000000000000000
χ632-22-22-2-22-22-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i2-200002i−2i-2200000000-222i−2i00000000000000000000
χ642-22-22-2-22-22-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i2-20000−2i2i2-2000000002-2−2i2i00000000000000000000
χ652-2-2222-2-2-2-22222-2-22-2-22-222-2-222-22-2-220000000000002i−2i2i−2i0000000000002-22-20000000000000000000000002i−2i2i−2i
χ662-2-2222-2-2-2-22222-2-22-2-22-222-2-222-22-2-220000000000002i−2i2i−2i000000000000-22-22000000000000000000000000−2i2i−2i2i
χ672-2-2222-2-2-2-22222-2-22-2-22-222-2-222-22-2-22000000000000−2i2i−2i2i0000000000002-22-2000000000000000000000000−2i2i−2i2i
χ682-2-2222-2-2-2-22222-2-22-2-22-222-2-222-22-2-22000000000000−2i2i−2i2i000000000000-22-220000000000000000000000002i−2i2i−2i
χ692-2-2222-2-2-2-22222-2-2-222-22-2-222-2-22-222-20000000000002i−2i−2i2i0000000000002-2-220000000000000000000000002i−2i−2i2i
χ702-2-2222-2-2-2-22222-2-2-222-22-2-222-2-22-222-20000000000002i−2i−2i2i000000000000-222-2000000000000000000000000−2i2i2i−2i
χ712-2-2222-2-2-2-22222-2-2-222-22-2-222-2-22-222-2000000000000−2i2i2i−2i0000000000002-2-22000000000000000000000000−2i2i2i−2i
χ722-2-2222-2-2-2-22222-2-2-222-22-2-222-2-22-222-2000000000000−2i2i2i−2i000000000000-222-20000000000000000000000002i−2i−2i2i
χ73444444-4-4-4-4-4-4-4-4444-4-444-4-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000
χ74444444-4-4-4-4-4-4-4-444-444-4-444-4-444-4-444-4000000000000000000000000000000000000000000000000000000000000
χ75444-4-444-4-44-444-4-4-444-4-4-4-44444-4-4-4-444000000000000000000000000000000000000000000000000000000000000
χ76444-4-444-4-44-444-4-4-4-4-44444-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000
χ77444-4-44-444-44-4-44-4-44-44-4-44-444-44-4-44-44000000000000000000000000000000000000000000000000000000000000
χ78444-4-44-444-44-4-44-4-4-44-444-44-4-44-444-44-4000000000000000000000000000000000000000000000000000000000000
χ7944-44-4-4-4-444-4-4444-44i−4i−4i4i4i−4i−4i4i−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ8044-44-4-4-4-444-4-4444-4−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ8144-4-44-44-44-4-44-44-444i4i−4i−4i−4i−4i4i4i−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000
χ8244-4-44-44-44-4-44-44-44−4i−4i4i4i4i4i−4i−4i4i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000
χ8344-4-44-4-44-444-44-4-444i−4i4i−4i−4i4i−4i4i−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ8444-4-44-4-44-444-44-4-44−4i4i−4i4i4i−4i4i−4i4i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ854-444-4-4-4-44444-4-4-444i−4i−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ864-444-4-4-4-44444-4-4-44−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ874-4-44444444-4-4-4-4-4-44444-4-4-4-4-4-4-4-44444000000000000000000000000000000000000000000000000000000000000
χ884-4-44444444-4-4-4-4-4-4-4-4-4-444444444-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ894-4-4-4-444-4-444-4-444444-4-444-4-4-4-444-4-444000000000000000000000000000000000000000000000000000000000000
χ904-4-4-4-444-4-444-4-4444-4-444-4-44444-4-444-4-4000000000000000000000000000000000000000000000000000000000000
χ914-4-4-4-44-444-4-444-4444-44-44-44-4-44-44-44-44000000000000000000000000000000000000000000000000000000000000
χ924-4-4-4-44-444-4-444-444-44-44-44-444-44-44-44-4000000000000000000000000000000000000000000000000000000000000

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