Finite Group Databasebeta

← Group #774366

Character table — Group #774366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111111111111111122222222444444444444444444444444444444444444888888888888888888888888888888888816161616
order12222222222222224444444422224444444444444444444444444444444422222222444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1
χ9111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1111111-1-111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ171111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11-11
χ181111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1111-11-1
χ191111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-11-1
χ201111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-11-11
χ211111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-111-1
χ221111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ231111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-11
χ241111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-111-1
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111111-11-1
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-11-11
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1111111-11-11
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-11-11-1
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-11-1-11
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-11111-111-1
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-111-1
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111111-1-11
χ3322222-2-2-2-222-2-2-2-220000000022-2-22i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i000022-2-2002-20000002i−2i00000000000000000000000000
χ3422222-2-2-2-222-2-2-2-220000000022-2-22i2i−2i−2i2i2i−2i−2i000000000000−2i−2i2i2i0000-2-22200-22000000−2i2i00000000000000000000000000
χ3522222-2-2-2-222-2-2-2-220000000022-2-2−2i−2i2i2i−2i−2i2i2i0000000000002i2i−2i−2i0000-2-22200-220000002i−2i00000000000000000000000000
χ3622222-2-2-2-222-2-2-2-220000000022-2-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i000022-2-2002-2000000−2i2i00000000000000000000000000
χ3722222-2-2-2-222-2-2-2-2200000000-2-2222i2i−2i−2i−2i−2i2i2i0000000000002i2i−2i−2i000022-2-200-22000000−2i2i00000000000000000000000000
χ3822222-2-2-2-222-2-2-2-2200000000-2-2222i2i−2i−2i−2i−2i2i2i000000000000−2i−2i2i2i0000-2-222002-20000002i−2i00000000000000000000000000
χ3922222-2-2-2-222-2-2-2-2200000000-2-222−2i−2i2i2i2i2i−2i−2i0000000000002i2i−2i−2i0000-2-222002-2000000−2i2i00000000000000000000000000
χ4022222-2-2-2-222-2-2-2-2200000000-2-222−2i−2i2i2i2i2i−2i−2i000000000000−2i−2i2i2i000022-2-200-220000002i−2i00000000000000000000000000
χ412222-22-2-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i00002i−2i2i−2i00002i2i−2i−2i22-2-222-2-200002i2i−2i−2i000000000000000000002-200000000000000000000
χ422222-22-2-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i00002i−2i2i−2i0000−2i−2i2i2i-2-222-2-2220000−2i−2i2i2i000000000000000000002-200000000000000000000
χ432222-22-2-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i0000−2i2i−2i2i00002i2i−2i−2i22-2-2-2-2220000−2i−2i2i2i00000000000000000000-2200000000000000000000
χ442222-22-2-2-2-2-2222-2-22i2i2i2i−2i−2i−2i−2i0000−2i2i−2i2i0000−2i−2i2i2i-2-22222-2-200002i2i−2i−2i00000000000000000000-2200000000000000000000
χ452222-22-2-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i00002i−2i2i−2i00002i2i−2i−2i-2-22222-2-20000−2i−2i2i2i00000000000000000000-2200000000000000000000
χ462222-22-2-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i00002i−2i2i−2i0000−2i−2i2i2i22-2-2-2-22200002i2i−2i−2i00000000000000000000-2200000000000000000000
χ472222-22-2-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i0000−2i2i−2i2i00002i2i−2i−2i-2-222-2-22200002i2i−2i−2i000000000000000000002-200000000000000000000
χ482222-22-2-2-2-2-2222-2-2−2i−2i−2i−2i2i2i2i2i0000−2i2i−2i2i0000−2i−2i2i2i22-2-222-2-20000−2i−2i2i2i000000000000000000002-200000000000000000000
χ4922-2-22-222-22-222-2-2-22i2i−2i−2i2i2i−2i−2i000000002-22-2000000002-22-200002i−2i2i−2i0000000000002i−2i002-200002i−2i000000000000000000
χ5022-2-22-222-22-222-2-2-22i2i−2i−2i2i2i−2i−2i000000002-22-200000000-22-220000−2i2i−2i2i0000000000002i−2i00-220000−2i2i000000000000000000
χ5122-2-22-222-22-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000-22-22000000002-22-200002i−2i2i−2i000000000000−2i2i00-220000−2i2i000000000000000000
χ5222-2-22-222-22-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000-22-2200000000-22-220000−2i2i−2i2i000000000000−2i2i002-200002i−2i000000000000000000
χ5322-2-22-222-22-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000002-22-2000000002-22-20000−2i2i−2i2i000000000000−2i2i002-20000−2i2i000000000000000000
χ5422-2-22-222-22-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000002-22-200000000-22-2200002i−2i2i−2i000000000000−2i2i00-2200002i−2i000000000000000000
χ5522-2-22-222-22-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000-22-22000000002-22-20000−2i2i−2i2i0000000000002i−2i00-2200002i−2i000000000000000000
χ5622-2-22-222-22-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000-22-2200000000-22-2200002i−2i2i−2i0000000000002i−2i002-20000−2i2i000000000000000000
χ5722-2-2-2-2-2-22-2222-22222-2-2-2-2222-22-200000000000000002-2-2200002-2-220000000000000000002-200002-2000000002-2000000
χ5822-2-2-2-2-2-22-2222-22222-2-2-2-2222-22-20000000000000000-222-20000-222-2000000000000000000-220000-22000000002-2000000
χ5922-2-2-2-2-2-22-2222-22222-2-2-2-222-22-2200000000000000002-2-2200002-2-22000000000000000000-220000-2200000000-22000000
χ6022-2-2-2-2-2-22-2222-22222-2-2-2-222-22-220000000000000000-222-20000-222-20000000000000000002-200002-200000000-22000000
χ6122-2-2-2-2-2-22-2222-222-2-22222-2-22-22-200000000000000002-2-220000-222-2000000000000000000-2200002-200000000-22000000
χ6222-2-2-2-2-2-22-2222-222-2-22222-2-22-22-20000000000000000-222-200002-2-220000000000000000002-20000-2200000000-22000000
χ6322-2-2-2-2-2-22-2222-222-2-22222-2-2-22-2200000000000000002-2-220000-222-20000000000000000002-20000-22000000002-2000000
χ6422-2-2-2-2-2-22-2222-222-2-22222-2-2-22-220000000000000000-222-200002-2-22000000000000000000-2200002-2000000002-2000000
χ652-22-22-22-22-222-22-2-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i2-22-200002-22-20000000000002-200000000000000002i−2i002i−2i0000000000
χ662-22-22-22-22-222-22-2-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i2-22-20000-22-22000000000000-220000000000000000−2i2i00−2i2i0000000000
χ672-22-22-22-22-222-22-2-22i−2i2i−2i2i−2i2i−2i000000000000−2i2i−2i2i-22-2200002-22-2000000000000-2200000000000000002i−2i00−2i2i0000000000
χ682-22-22-22-22-222-22-2-22i−2i2i−2i2i−2i2i−2i000000000000−2i2i−2i2i-22-220000-22-220000000000002-20000000000000000−2i2i002i−2i0000000000
χ692-22-22-22-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000002i−2i2i−2i-22-2200002-22-2000000000000-220000000000000000−2i2i002i−2i0000000000
χ702-22-22-22-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000002i−2i2i−2i-22-220000-22-220000000000002-200000000000000002i−2i00−2i2i0000000000
χ712-22-22-22-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i2-22-200002-22-20000000000002-20000000000000000−2i2i00−2i2i0000000000
χ722-22-22-22-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i2-22-20000-22-22000000000000-2200000000000000002i−2i002i−2i0000000000
χ732-22-2-2-2-22-22-22-22222-22-2-22-220000000000002-2-222-2-220000000000002-22-22-200002-2000000000000000000002-200000000
χ742-22-2-2-2-22-22-22-22222-22-2-22-220000000000002-2-222-2-22000000000000-22-22-220000-2200000000000000000000-2200000000
χ752-22-2-2-2-22-22-22-22222-22-2-22-22000000000000-222-2-222-20000000000002-22-22-20000-2200000000000000000000-2200000000
χ762-22-2-2-2-22-22-22-22222-22-2-22-22000000000000-222-2-222-2000000000000-22-22-2200002-2000000000000000000002-200000000
χ772-22-2-2-2-22-22-22-2222-22-222-22-20000000000002-2-22-222-20000000000002-22-2-2200002-200000000000000000000-2200000000
χ782-22-2-2-2-22-22-22-2222-22-222-22-20000000000002-2-22-222-2000000000000-22-222-20000-22000000000000000000002-200000000
χ792-22-2-2-2-22-22-22-2222-22-222-22-2000000000000-222-22-2-220000000000002-22-2-220000-22000000000000000000002-200000000
χ802-22-2-2-2-22-22-22-2222-22-222-22-2000000000000-222-22-2-22000000000000-22-222-200002-200000000000000000000-2200000000
χ814444-4-4444-4-4-4-4-44-40000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ824444-4-4444-4-4-4-4-44-4000000000000-444-4000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-444-4-444-4-4-444-400000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ8444-4-444-4-444-4-4-444-40000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-4444-4-44-4-44-44000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-4444-4-44-4-44-4400000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ874-44-444-44-4-44-44-44-4000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ884-44-444-44-4-44-44-44-400000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ894-44-4-444-444-4-44-4-4400000000000000000000000000000000000000004-4-4400000000000000000000000000000000000000
χ904-44-4-444-444-4-44-4-440000000000000000000000000000000000000000-444-400000000000000000000000000000000000000
χ914-4-44444-4-4-4-44-4-4444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-44444-4-4-4-44-4-444-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-4-444-4-4-444-4400000000000000000000000000000000000000000000000000000000000000000000000000004-40000
χ944-4-444-4-444-4-4-444-440000000000000000000000000000000000000000000000000000000000000000000000000000-440000
χ954-4-44-44-444444-4-4-4-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-44-44-444444-4-4-4-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-44-4-44-4-444-4444-4000000000000000000000000000000000000000000000000000000000000000000004-4000000000000
χ984-4-44-4-44-4-444-4444-400000000000000000000000000000000000000000000000000000000000000000000-44000000000000

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