Finite Group Databasebeta

← Group #844839

Character table — Group #844839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111111111111111122222222444444444444444444444444444444444444888888888888888888888888888888888816161616
order12222222222222224444444444444444444444444444444444444444444422444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-11-11-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-11
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-11-11
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-11-11-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111-11-1
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111-11-1
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-11-11
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111111111-1-1111111-1-1-1-1
χ171111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ181111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111
χ191111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-111
χ201111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-111-1-1111111-1-1
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-11-1-11
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-111-1
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111-111-1
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-111-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1111-1-11
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-1111-1-11
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-111-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-111-1-1-1-111-1-1
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111
χ332222222-2-22-2-2-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-222-2-200000000000000002-2000000000000000000000000000000000000
χ342222222-2-22-2-2-2-2-2-22222-2-2-2-222-2-222-2-2-2-222-2-222-2-2220000000000000000-22000000000000000000000000000000000000
χ352222222-2-22-2-2-2-2-2-22222-2-2-2-2-2-222-2-22222-2-222-2-2-2-2220000000000000000-22000000000000000000000000000000000000
χ362222222-2-22-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-222-2-22222-2-200000000000000002-2000000000000000000000000000000000000
χ372222222-2-22-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-20000000000000000-22000000000000000000000000000000000000
χ382222222-2-22-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22222-2-2-2-22200000000000000002-2000000000000000000000000000000000000
χ392222222-2-22-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222-2-2-2-222-2-22200000000000000002-2000000000000000000000000000000000000
χ402222222-2-22-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-222-2-20000000000000000-22000000000000000000000000000000000000
χ4122-222-2-22-2-222-2-2-222i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i2-22-20000000000002i2i−2i−2i00000000002-200000000002i−2i0000002-20000000000
χ4222-222-2-22-2-222-2-2-222i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i2-22-2000000000000−2i−2i2i2i0000000000-220000000000−2i2i000000-220000000000
χ4322-222-2-22-2-222-2-2-222i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i-22-220000000000002i2i−2i−2i0000000000-220000000000−2i2i0000002-20000000000
χ4422-222-2-22-2-222-2-2-222i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i-22-22000000000000−2i−2i2i2i00000000002-200000000002i−2i000000-220000000000
χ4522-222-2-22-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i-22-220000000000002i2i−2i−2i00000000002-20000000000−2i2i000000-220000000000
χ4622-222-2-22-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i-22-22000000000000−2i−2i2i2i0000000000-2200000000002i−2i0000002-20000000000
χ4722-222-2-22-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i2-22-20000000000002i2i−2i−2i0000000000-2200000000002i−2i000000-220000000000
χ4822-222-2-22-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i2-22-2000000000000−2i−2i2i2i00000000002-20000000000−2i2i0000002-20000000000
χ4922-222-2-2-22-2-2-2222-22i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i2-2-2200002i2i−2i−2i000000000000002-20000002-22i−2i000000000000000000000000
χ5022-222-2-2-22-2-2-2222-22i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i2-2-220000−2i−2i2i2i00000000000000-22000000-22−2i2i000000000000000000000000
χ5122-222-2-2-22-2-2-2222-22i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i-222-200002i2i−2i−2i000000000000002-2000000-22−2i2i000000000000000000000000
χ5222-222-2-2-22-2-2-2222-22i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i-222-20000−2i−2i2i2i00000000000000-220000002-22i−2i000000000000000000000000
χ5322-222-2-2-22-2-2-2222-2−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i-222-200002i2i−2i−2i00000000000000-220000002-2−2i2i000000000000000000000000
χ5422-222-2-2-22-2-2-2222-2−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i-222-20000−2i−2i2i2i000000000000002-2000000-222i−2i000000000000000000000000
χ5522-222-2-2-22-2-2-2222-2−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i2-2-2200002i2i−2i−2i00000000000000-22000000-222i−2i000000000000000000000000
χ5622-222-2-2-22-2-2-2222-2−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i2-2-220000−2i−2i2i2i000000000000002-20000002-2−2i2i000000000000000000000000
χ5722-2-2-2222-2-2-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-200000000000000002i2i−2i−2i0000000000002-2000000002-22i−2i00000000000000000000
χ5822-2-2-2222-2-2-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-20000000000000000−2i−2i2i2i000000000000-2200000000-22−2i2i00000000000000000000
χ5922-2-2-2222-2-2-22-222-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-22-2200000000000000002i2i−2i−2i0000000000002-200000000-22−2i2i00000000000000000000
χ6022-2-2-2222-2-2-22-222-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-22-220000000000000000−2i−2i2i2i000000000000-22000000002-22i−2i00000000000000000000
χ6122-2-2-2222-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-22-2200000000000000002i2i−2i−2i000000000000-22000000002-2−2i2i00000000000000000000
χ6222-2-2-2222-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-22-220000000000000000−2i−2i2i2i0000000000002-200000000-222i−2i00000000000000000000
χ6322-2-2-2222-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-200000000000000002i2i−2i−2i000000000000-2200000000-222i−2i00000000000000000000
χ6422-2-2-2222-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000−2i−2i2i2i0000000000002-2000000002-2−2i2i00000000000000000000
χ6522-2-2-222-22-22-22-2-222i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2-2-220000000000000000000000002i2i−2i−2i000000002-200000000002i−2i0000002-200000000
χ6622-2-2-222-22-22-22-2-222i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2-2-22000000000000000000000000−2i−2i2i2i00000000-220000000000−2i2i000000-2200000000
χ6722-2-2-222-22-22-22-2-222i−2i2i−2i−2i2i−2i2i−2i2i2i−2i-222-20000000000000000000000002i2i−2i−2i000000002-20000000000−2i2i000000-2200000000
χ6822-2-2-222-22-22-22-2-222i−2i2i−2i−2i2i−2i2i−2i2i2i−2i-222-2000000000000000000000000−2i−2i2i2i00000000-2200000000002i−2i0000002-200000000
χ6922-2-2-222-22-22-22-2-22−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i-222-20000000000000000000000002i2i−2i−2i00000000-220000000000−2i2i0000002-200000000
χ7022-2-2-222-22-22-22-2-22−2i2i−2i2i2i−2i2i−2i2i−2i−2i2i-222-2000000000000000000000000−2i−2i2i2i000000002-200000000002i−2i000000-2200000000
χ7122-2-2-222-22-22-22-2-22−2i2i−2i2i2i−2i2i−2i−2i2i2i−2i2-2-220000000000000000000000002i2i−2i−2i00000000-2200000000002i−2i000000-2200000000
χ7222-2-2-222-22-22-22-2-22−2i2i−2i2i2i−2i2i−2i−2i2i2i−2i2-2-22000000000000000000000000−2i−2i2i2i000000002-20000000000−2i2i0000002-200000000
χ732-2-22-22-22-222-222-2-20000000000000000000000002-22-22i−2i2i−2i2-22-22i−2i2i−2i2-22-20000000000000000000000000000002i−2i2i−2i0000
χ742-2-22-22-22-222-222-2-20000000000000000000000002-22-22i−2i2i−2i-22-222i−2i2i−2i-22-22000000000000000000000000000000−2i2i−2i2i0000
χ752-2-22-22-22-222-222-2-20000000000000000000000002-22-2−2i2i−2i2i2-22-2−2i2i−2i2i2-22-2000000000000000000000000000000−2i2i−2i2i0000
χ762-2-22-22-22-222-222-2-20000000000000000000000002-22-2−2i2i−2i2i-22-22−2i2i−2i2i-22-220000000000000000000000000000002i−2i2i−2i0000
χ772-2-22-22-22-222-222-2-2000000000000000000000000-22-222i−2i2i−2i2-22-2−2i2i−2i2i-22-220000000000000000000000000000002i−2i−2i2i0000
χ782-2-22-22-22-222-222-2-2000000000000000000000000-22-222i−2i2i−2i-22-22−2i2i−2i2i2-22-2000000000000000000000000000000−2i2i2i−2i0000
χ792-2-22-22-22-222-222-2-2000000000000000000000000-22-22−2i2i−2i2i2-22-22i−2i2i−2i-22-22000000000000000000000000000000−2i2i2i−2i0000
χ802-2-22-22-22-222-222-2-2000000000000000000000000-22-22−2i2i−2i2i-22-222i−2i2i−2i2-22-20000000000000000000000000000002i−2i−2i2i0000
χ81444-4-4-4-4444-444-4-4-44-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-4444-444-4-4-4-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ83444-4-4-4-4-4-444-4-44444-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ84444-4-4-4-4-4-444-4-4444-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ854-444-4-4444-44-4-4-44-40000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000
χ864-444-4-4444-44-4-4-44-4000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000
χ874-444-4-44-4-4-4-4444-4400000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ884-444-4-44-4-4-4-4444-440000000000000000000000000000-444-400000000000000000000000000000000000000000000000000
χ894-44-444-444-4-4-4-44-44000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ904-44-444-444-4-4-4-44-4400000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ914-44-444-4-4-4-4444-44-400000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000
χ924-44-444-4-4-4-4444-44-40000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000
χ934-4-44-44-4-444-44-4-4440000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ944-4-44-44-4-444-44-4-444000000000000000000000000-444-4000000000000000000000000000000000000000000000000000000
χ954-4-4-44-444-44-4-44-444000000000000000000000000000000000000000000000000000000000000000000004-4000000000000
χ964-4-4-44-444-44-4-44-44400000000000000000000000000000000000000000000000000000000000000000000-44000000000000
χ974-4-4-44-44-44444-44-4-40000000000000000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ984-4-4-44-44-44444-44-4-4000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000000000

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