Finite Group Databasebeta

← Group #775384

Character table — Group #775384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111111111111111122222222444444444444444444444444444444444444888888888888888888888888888888888816161616
order12222222222222224444444422222222222244444444444444444444444422224444444444444444444444444444442444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-11
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-111-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1-1-1-1-111-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11-1-11
χ9111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-111-1
χ10111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-11-1-11
χ11111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-11
χ12111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-111-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11111111111-1-11111-1-1-1-1
χ171111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11-11
χ181111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11-11-1
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1111-11-1
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1111111-11-11
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1111111-1-111
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-111
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1111111-1-1-1-111-11-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-11-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-111-1-111-1-1-1-11-11-1
χ33222-2222-2-22-2-2-2-22-2000000000000000022-2-22i2i−2i−2i2i2i−2i−2i22-2-2000000002i2i−2i−2i000000000000000000002i−2i2-200000000000000
χ34222-2222-2-22-2-2-2-22-2000000000000000022-2-22i2i−2i−2i−2i−2i2i2i-2-222000000002i2i−2i−2i00000000000000000000−2i2i-2200000000000000
χ35222-2222-2-22-2-2-2-22-2000000000000000022-2-2−2i−2i2i2i2i2i−2i−2i-2-22200000000−2i−2i2i2i000000000000000000002i−2i-2200000000000000
χ36222-2222-2-22-2-2-2-22-2000000000000000022-2-2−2i−2i2i2i−2i−2i2i2i22-2-200000000−2i−2i2i2i00000000000000000000−2i2i2-200000000000000
χ37222-2222-2-22-2-2-2-22-20000000000000000-2-2222i2i−2i−2i2i2i−2i−2i-2-22200000000−2i−2i2i2i00000000000000000000−2i2i2-200000000000000
χ38222-2222-2-22-2-2-2-22-20000000000000000-2-2222i2i−2i−2i−2i−2i2i2i22-2-200000000−2i−2i2i2i000000000000000000002i−2i-2200000000000000
χ39222-2222-2-22-2-2-2-22-20000000000000000-2-222−2i−2i2i2i2i2i−2i−2i22-2-2000000002i2i−2i−2i00000000000000000000−2i2i-2200000000000000
χ40222-2222-2-22-2-2-2-22-20000000000000000-2-222−2i−2i2i2i−2i−2i2i2i-2-222000000002i2i−2i−2i000000000000000000002i−2i2-200000000000000
χ41222-22-2-22-2-222-22-2-22i2i2i2i−2i−2i−2i−2i22-2-200000000000000002i−2i2i−2i2i2i−2i−2i00000000002-2002i−2i00000000000000002-2000000000000
χ42222-22-2-22-2-222-22-2-22i2i2i2i−2i−2i−2i−2i22-2-20000000000000000−2i2i−2i2i2i2i−2i−2i0000000000-2200−2i2i0000000000000000-22000000000000
χ43222-22-2-22-2-222-22-2-22i2i2i2i−2i−2i−2i−2i-2-22200000000000000002i−2i2i−2i−2i−2i2i2i00000000002-200−2i2i0000000000000000-22000000000000
χ44222-22-2-22-2-222-22-2-22i2i2i2i−2i−2i−2i−2i-2-2220000000000000000−2i2i−2i2i−2i−2i2i2i0000000000-22002i−2i00000000000000002-2000000000000
χ45222-22-2-22-2-222-22-2-2−2i−2i−2i−2i2i2i2i2i22-2-200000000000000002i−2i2i−2i−2i−2i2i2i0000000000-22002i−2i0000000000000000-22000000000000
χ46222-22-2-22-2-222-22-2-2−2i−2i−2i−2i2i2i2i2i22-2-20000000000000000−2i2i−2i2i−2i−2i2i2i00000000002-200−2i2i00000000000000002-2000000000000
χ47222-22-2-22-2-222-22-2-2−2i−2i−2i−2i2i2i2i2i-2-22200000000000000002i−2i2i−2i2i2i−2i−2i0000000000-2200−2i2i00000000000000002-2000000000000
χ48222-22-2-22-2-222-22-2-2−2i−2i−2i−2i2i2i2i2i-2-2220000000000000000−2i2i−2i2i2i2i−2i−2i00000000002-2002i−2i0000000000000000-22000000000000
χ4922-22-22-2-2222-2-22-2-22i2i−2i−2i2i2i−2i−2i2-22-222-2-200000000000000002i−2i2i−2i2i2i−2i−2i2i−2i2i−2i00000000002-200000000000000000000000000
χ5022-22-22-2-2222-2-22-2-22i2i−2i−2i2i2i−2i−2i2-22-2-2-22200000000000000002i−2i2i−2i−2i−2i2i2i−2i2i−2i2i0000000000-2200000000000000000000000000
χ5122-22-22-2-2222-2-22-2-22i2i−2i−2i2i2i−2i−2i-22-2222-2-20000000000000000−2i2i−2i2i2i2i−2i−2i−2i2i−2i2i0000000000-2200000000000000000000000000
χ5222-22-22-2-2222-2-22-2-22i2i−2i−2i2i2i−2i−2i-22-22-2-2220000000000000000−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i00000000002-200000000000000000000000000
χ5322-22-22-2-2222-2-22-2-2−2i−2i2i2i−2i−2i2i2i2-22-222-2-20000000000000000−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i00000000002-200000000000000000000000000
χ5422-22-22-2-2222-2-22-2-2−2i−2i2i2i−2i−2i2i2i2-22-2-2-2220000000000000000−2i2i−2i2i2i2i−2i−2i2i−2i2i−2i0000000000-2200000000000000000000000000
χ5522-22-22-2-2222-2-22-2-2−2i−2i2i2i−2i−2i2i2i-22-2222-2-200000000000000002i−2i2i−2i−2i−2i2i2i2i−2i2i−2i0000000000-2200000000000000000000000000
χ5622-22-22-2-2222-2-22-2-2−2i−2i2i2i−2i−2i2i2i-22-22-2-22200000000000000002i−2i2i−2i2i2i−2i−2i−2i2i−2i2i00000000002-200000000000000000000000000
χ5722-2-2-2-22-2-2-22-2222222-2-2-2-2222-2-220000000000002-22-200002-2-220000000000000000000000002-22-200000000002-2000000
χ5822-2-2-2-22-2-2-22-2222222-2-2-2-2222-2-22000000000000-22-2200002-2-22000000000000000000000000-22-220000000000-22000000
χ5922-2-2-2-22-2-2-22-2222222-2-2-2-222-222-20000000000002-22-20000-222-20000000000000000000000002-2-220000000000-22000000
χ6022-2-2-2-22-2-2-22-2222222-2-2-2-222-222-2000000000000-22-220000-222-2000000000000000000000000-222-200000000002-2000000
χ6122-2-2-2-22-2-2-22-22222-2-22222-2-22-2-220000000000002-22-20000-222-2000000000000000000000000-222-20000000000-22000000
χ6222-2-2-2-22-2-2-22-22222-2-22222-2-22-2-22000000000000-22-220000-222-20000000000000000000000002-2-2200000000002-2000000
χ6322-2-2-2-22-2-2-22-22222-2-22222-2-2-222-20000000000002-22-200002-2-22000000000000000000000000-22-2200000000002-2000000
χ6422-2-2-2-22-2-2-22-22222-2-22222-2-2-222-2000000000000-22-2200002-2-220000000000000000000000002-22-20000000000-22000000
χ652-22-2-2-222222-22-2-2-22i−2i2i−2i2i−2i2i−2i00002-22-200002i−2i2i−2i0000000000002i−2i2i−2i00002-2002-2000000000000000000000000002i−2i0000
χ662-22-2-2-222222-22-2-2-22i−2i2i−2i2i−2i2i−2i00002-22-20000−2i2i−2i2i0000000000002i−2i2i−2i0000-2200-2200000000000000000000000000−2i2i0000
χ672-22-2-2-222222-22-2-2-22i−2i2i−2i2i−2i2i−2i0000-22-2200002i−2i2i−2i000000000000−2i2i−2i2i0000-22002-200000000000000000000000000−2i2i0000
χ682-22-2-2-222222-22-2-2-22i−2i2i−2i2i−2i2i−2i0000-22-220000−2i2i−2i2i000000000000−2i2i−2i2i00002-200-22000000000000000000000000002i−2i0000
χ692-22-2-2-222222-22-2-2-2−2i2i−2i2i−2i2i−2i2i00002-22-200002i−2i2i−2i000000000000−2i2i−2i2i0000-2200-22000000000000000000000000002i−2i0000
χ702-22-2-2-222222-22-2-2-2−2i2i−2i2i−2i2i−2i2i00002-22-20000−2i2i−2i2i000000000000−2i2i−2i2i00002-2002-200000000000000000000000000−2i2i0000
χ712-22-2-2-222222-22-2-2-2−2i2i−2i2i−2i2i−2i2i0000-22-2200002i−2i2i−2i0000000000002i−2i2i−2i00002-200-2200000000000000000000000000−2i2i0000
χ722-22-2-2-222222-22-2-2-2−2i2i−2i2i−2i2i−2i2i0000-22-220000−2i2i−2i2i0000000000002i−2i2i−2i0000-22002-2000000000000000000000000002i−2i0000
χ732-2-2-22-2-2-22222-2-2222-2-222-2-2200002-2-222-22-200000000000000002-2-2200000000000000002-22-20000000000002-200000000
χ742-2-2-22-2-2-22222-2-2222-2-222-2-2200002-2-22-22-2200000000000000002-2-220000000000000000-22-22000000000000-2200000000
χ752-2-2-22-2-2-22222-2-2222-2-222-2-220000-222-22-22-20000000000000000-222-20000000000000000-22-220000000000002-200000000
χ762-2-2-22-2-2-22222-2-2222-2-222-2-220000-222-2-22-220000000000000000-222-200000000000000002-22-2000000000000-2200000000
χ772-2-2-22-2-2-22222-2-222-222-2-222-200002-2-222-22-20000000000000000-222-200000000000000002-2-22000000000000-2200000000
χ782-2-2-22-2-2-22222-2-222-222-2-222-200002-2-22-22-220000000000000000-222-20000000000000000-222-20000000000002-200000000
χ792-2-2-22-2-2-22222-2-222-222-2-222-20000-222-22-22-200000000000000002-2-220000000000000000-222-2000000000000-2200000000
χ802-2-2-22-2-2-22222-2-222-222-2-222-20000-222-2-22-2200000000000000002-2-2200000000000000002-2-220000000000002-200000000
χ8144444-4-4-44-4-4-44-4-4400000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ8244444-4-4-44-4-4-44-4-440000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ8344-44-4-4444-4-44-4-44-40000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ8444-44-4-4444-4-44-4-44-4000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ8544-4-4-44-44-44-444-4-4400000000000000000000000000000000000000004-4-4400000000000000000000000000000000000000
χ8644-4-4-44-44-44-444-4-440000000000000000000000000000000000000000-444-400000000000000000000000000000000000000
χ874-444-44-44-4-44-4-4-4444-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ884-444-44-44-4-44-4-4-444-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ894-444-4-44-4-44-44-44-44000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000
χ904-444-4-44-4-44-44-44-4400000000000000000000-444-40000000000000000000000000000000000000000000000000000000000
χ914-44-4-44-4-44-4-44444-400000000000000000000000000000000000000000000000000000000000000000000004-40000000000
χ924-44-4-44-4-44-4-44444-40000000000000000000000000000000000000000000000000000000000000000000000-440000000000
χ934-4-44444-4-4-4444-4-4-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44444-4-4-4444-4-4-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-444-4-44-44-4-4444-400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000
χ964-4-444-4-44-44-4-4444-40000000000000000-444-400000000000000000000000000000000000000000000000000000000000000
χ974-4-4-444444-4-4-4-44-4400000000000000000000000000000000000000000000000000004-40000000000000000000000000000
χ984-4-4-444444-4-4-4-44-440000000000000000000000000000000000000000000000000000-440000000000000000000000000000

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