Finite Group Databasebeta

← Group #6590763

Character table — Group #6590763

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12222222444444444444444488888888224444444444444444444488888888888822444444444444448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11111
χ91111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-111-1-111-1-11-11-11-11-1
χ101111111111111-1-1-1-1-1-1-1-111111111111111111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-11-1-111-1-111-11-11-11-11
χ111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-11-111-1-111-1-1-11-11-11-11
χ121111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-11-1-111-1-1111-11-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-11-1-1-11-1-1-111-1-111-11-111-11-1
χ141111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-1-11-1-1-1111-1-111-1-11-11-1-11-11
χ151111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-1111-1-1-111-1-1111-11-1-11-11
χ161111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1111-1111-1-111-1-1-11-111-11-1
χ17111111111-1-1-1-11111-1-1-1-111111111111-1-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-111-1-111-1
χ18111111111-1-1-1-11111-1-1-1-111111111111-1-11111-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11-1-11-1-1-11111-1-11-1-111-1-11
χ19111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11-111-1111-1-1-1-1111-1-111-1-11
χ20111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-11111-1-1-11111-1-1-111-1-111-1
χ21111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1111-111-11-1-11111-1-11-1-11-111-1
χ22111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-11111-111-1-1-1-111-111-11-1-11
χ23111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-111111111-1-111-1-11-1-1-1-11-1-11111-1-1-111-11-1-11
χ24111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-111111111-1-111-1-1-11-1-11-111-1-1-1-1111-1-11-111-1
χ25111111111-1-1-1-1-1-1-1-1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111
χ26111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ27111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1
χ28111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111
χ29111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ30111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ31111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ32111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ3322222222-2222222222222-2-2-200000000-2-200002222-2-200002222-2-20000000000000000000000-2-200-2-20000000000000000
χ3422222222-2222222222222-2-2-200000000-2-20000-2-2-2-2-2-20000-2-2-2-2-2-200000000000000000000002200220000000000000000
χ3522222222-22222-2-2-2-2-2-2-2-2-2-2-200000000-2-2000022-2-222000022-2-2220000000000000000000000-2200-220000000000000000
χ3622222222-22222-2-2-2-2-2-2-2-2-2-2-200000000-2-20000-2-222220000-2-2222200000000000000000000002-2002-20000000000000000
χ3722222222-2-2-2-2-22222-2-2-2-2-2-2-20000000022000022-2-2220000-2-222-2-20000000000000000000000-22002-20000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2-2-200000000220000-2-22222000022-2-2-2-200000000000000000000002-200-220000000000000000
χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-2000000002200002222-2-20000-2-2-2-2220000000000000000000000-2-200220000000000000000
χ4022222222-2-2-2-2-2-2-2-2-22222-2-2-200000000220000-2-2-2-2-2-2000022222200000000000000000000002200-2-20000000000000000
χ41222-22-2-2-2-222-2-2000000002-222i2i2i2i−2i−2i−2i−2i2-222-2-20000002i2i−2i−2i0000002i2i−2i−2i000000000000002-200002i−2i000000000000000000
χ42222-22-2-2-2-222-2-2000000002-222i2i2i2i−2i−2i−2i−2i2-2-2-222000000−2i−2i2i2i0000002i2i−2i−2i00000000000000-220000−2i2i000000000000000000
χ43222-22-2-2-2-222-2-2000000002-22−2i−2i−2i−2i2i2i2i2i2-222-2-2000000−2i−2i2i2i000000−2i−2i2i2i000000000000002-20000−2i2i000000000000000000
χ44222-22-2-2-2-222-2-2000000002-22−2i−2i−2i−2i2i2i2i2i2-2-2-2220000002i2i−2i−2i000000−2i−2i2i2i00000000000000-2200002i−2i000000000000000000
χ45222-22-2-2-2-2-2-222000000002-222i2i2i2i−2i−2i−2i−2i-2222-2-20000002i2i−2i−2i000000−2i−2i2i2i00000000000000-220000−2i2i000000000000000000
χ46222-22-2-2-2-2-2-222000000002-222i2i2i2i−2i−2i−2i−2i-22-2-222000000−2i−2i2i2i000000−2i−2i2i2i000000000000002-200002i−2i000000000000000000
χ47222-22-2-2-2-2-2-222000000002-22−2i−2i−2i−2i2i2i2i2i-2222-2-2000000−2i−2i2i2i0000002i2i−2i−2i00000000000000-2200002i−2i000000000000000000
χ48222-22-2-2-2-2-2-222000000002-22−2i−2i−2i−2i2i2i2i2i-22-2-2220000002i2i−2i−2i0000002i2i−2i−2i000000000000002-20000−2i2i000000000000000000
χ4922-22-2-2-2202i−2i2i−2i2i2i−2i−2i22-2-2000i2i2−i2−i2i2i2−i2−i20000002-22-20000002i−2i2i−2i002−22−222−2−2i2i2−i2−i20000000000000000i2−i2i2−i22−22−200000000
χ5022-22-2-2-2202i−2i2i−2i2i2i−2i−2i22-2-2000i2i2−i2−i2i2i2−i2−i2000000-22-22000000−2i2i−2i2i002−22−222−2−2i2i2−i2−i20000000000000000−i2i2−i2i2−22−2200000000
χ5122-22-2-2-2202i−2i2i−2i2i2i−2i−2i22-2-2000−i2−i2i2i2−i2−i2i2i20000002-22-20000002i−2i2i−2i00−22−22−2−222−i2−i2i2i20000000000000000−i2i2−i2i2−22−2200000000
χ5222-22-2-2-2202i−2i2i−2i2i2i−2i−2i22-2-2000−i2−i2i2i2−i2−i2i2i2000000-22-22000000−2i2i−2i2i00−22−22−2−222−i2−i2i2i20000000000000000i2−i2i2−i22−22−200000000
χ5322-22-2-2-2202i−2i2i−2i−2i−2i2i2i-2-222000i2i2−i2−i2i2i2−i2−i20000002-2-220000002i−2i−2i2i002−22−2−2−222−i2−i2i2i20000000000000000i2−i2−i2i22−2−2200000000
χ5422-22-2-2-2202i−2i2i−2i−2i−2i2i2i-2-222000i2i2−i2−i2i2i2−i2−i2000000-222-2000000−2i2i2i−2i002−22−2−2−222−i2−i2i2i20000000000000000−i2i2i2−i2−222−200000000
χ5522-22-2-2-2202i−2i2i−2i−2i−2i2i2i-2-222000−i2−i2i2i2−i2−i2i2i20000002-2-220000002i−2i−2i2i00−22−2222−2−2i2i2−i2−i20000000000000000−i2i2i2−i2−222−200000000
χ5622-22-2-2-2202i−2i2i−2i−2i−2i2i2i-2-222000−i2−i2i2i2−i2−i2i2i2000000-222-2000000−2i2i2i−2i00−22−2222−2−2i2i2−i2−i20000000000000000i2−i2−i2i22−2−2200000000
χ5722-22-2-2-220−2i2i−2i2i2i2i−2i−2i-2-222000i2i2−i2−i2i2i2−i2−i20000002-2-22000000−2i2i2i−2i00−22−2222−2−2−i2−i2i2i20000000000000000i2−i2−i2i2−222−200000000
χ5822-22-2-2-220−2i2i−2i2i2i2i−2i−2i-2-222000i2i2−i2−i2i2i2−i2−i2000000-222-20000002i−2i−2i2i00−22−2222−2−2−i2−i2i2i20000000000000000−i2i2i2−i22−2−2200000000
χ5922-22-2-2-220−2i2i−2i2i2i2i−2i−2i-2-222000−i2−i2i2i2−i2−i2i2i20000002-2-22000000−2i2i2i−2i002−22−2−2−222i2i2−i2−i20000000000000000−i2i2i2−i22−2−2200000000
χ6022-22-2-2-220−2i2i−2i2i2i2i−2i−2i-2-222000−i2−i2i2i2−i2−i2i2i2000000-222-20000002i−2i−2i2i002−22−2−2−222i2i2−i2−i20000000000000000i2−i2−i2i2−222−200000000
χ6122-22-2-2-220−2i2i−2i2i−2i−2i2i2i22-2-2000i2i2−i2−i2i2i2−i2−i20000002-22-2000000−2i2i−2i2i00−22−22−2−222i2i2−i2−i20000000000000000i2−i2i2−i2−22−2200000000
χ6222-22-2-2-220−2i2i−2i2i−2i−2i2i2i22-2-2000i2i2−i2−i2i2i2−i2−i2000000-22-220000002i−2i2i−2i00−22−22−2−222i2i2−i2−i20000000000000000−i2i2−i2i22−22−200000000
χ6322-22-2-2-220−2i2i−2i2i−2i−2i2i2i22-2-2000−i2−i2i2i2−i2−i2i2i20000002-22-2000000−2i2i−2i2i002−22−222−2−2−i2−i2i2i20000000000000000−i2i2−i2i22−22−200000000
χ6422-22-2-2-220−2i2i−2i2i−2i−2i2i2i22-2-2000−i2−i2i2i2−i2−i2i2i2000000-22-220000002i−2i2i−2i002−22−222−2−2−i2−i2i2i20000000000000000i2−i2i2−i2−22−2200000000
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χ722-222-2-22-2-20000−2i2i−2i2i000022-2-22-22-22-2200−2i2i−2i2i0000002i−2i2i−2i0000−2i2i00002i−2i2i−2i0000-220000002-20000000000000000000000
χ732-22-2-22-222000000002-22-22-2-22i−2i2i−2i−2i2i−2i2i002i−2i−2i2i00002-2-222-2000000000000002i−2i2i−2i002i−2i2-200000000000000000000000000
χ742-22-2-22-222000000002-22-22-2-22i−2i2i−2i−2i2i−2i2i00−2i2i2i−2i00002-22-2-22000000000000002i−2i2i−2i00−2i2i-2200000000000000000000000000
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χ914-4-4444-4-4000004-4-4400000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000000000
χ924-4-4444-4-4000004-4-440000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000000000
χ934-4-4444-4-400000-444-400000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000000000
χ944-4-4444-4-400000-444-40000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000000000
χ954-4-4-44-4440000000004-4-4400022−22−2222−222222−2200000000000000000000000000000022−22−222200000000000000000000000000000000
χ964-4-4-44-4440000000004-4-44000−222222−2222−22−2222000000000000000000000000000000−222222−2200000000000000000000000000000000
χ974-4-4-44-444000000000-444-400022−22−2222−222222−22000000000000000000000000000000−222222−2200000000000000000000000000000000
χ984-4-4-44-444000000000-444-4000−222222−2222−22−222200000000000000000000000000000022−22−222200000000000000000000000000000000

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