Finite Group Databasebeta

← Group #10877429

Character table — Group #10877429

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222222234444666666644444444446666121212128888888844441212121212121212121212121212121212128888888888884412121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ911111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ1111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-11
χ1211111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-11-1-11111-1-11-1
χ1311111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-11
χ1411111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-1111-1
χ1511111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-11-1-111-1-1111-1
χ1611111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111-111-1-111-1-1-11
χ172222222222222-2-2-2-222222222222-2-2-2-2-2-22222-2-2-2-20000000000002222-2-2-2-2-2-200000000000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-22222-2-22222-2-2-2-2000000000000-2-2-2-2-2-2222200000000000000000000000000000000
χ19222222222222-12222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ20222222222222-12222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ21222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-10000000022221111-1-11111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ22222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-100000000-2-2-2-21111-1-111111111111100000000000022-1-1-1-1000000
χ23222222222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-11111000000000000-1-1-1-1111111−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i3000000
χ24222222222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-11111000000000000-1-1-1-1111111i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i3000000
χ25222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-1-1-11111000000000000111111-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i3000000
χ26222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-1-1-11111000000000000111111-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i3000000
χ2722222222-2-2-2-22-2-2-2-2222222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000022-2-222-2-22200000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-22222222-2-22222-2-222-2-2-2-2-2-2-2-2000000000000-2-2222222-2-200000000000000000000000000000000
χ2922222222-2-2-2-2-12222-1-1-1-1-1-1-122-2-222-2-2-2-21111-1-1-1-10000000022-2-2-1-11111-1-111-1-1-1-111110000000000002-2-1-111000000
χ3022222222-2-2-2-2-12222-1-1-1-1-1-1-122-2-222-2-2-2-21111-1-1-1-100000000-2-222-1-11111-1-1111111-1-1-1-1000000000000-2211-1-1000000
χ3122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-10000000022-2-211-1-11111-1-1-1-1-1-11111000000000000-2211-1-1000000
χ3222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-100000000-2-22211-1-11111-1-11111-1-1-1-10000000000002-2-1-111000000
χ3322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2222211111111000000000000-1-111-1-111-1-1−i3−i3i3i3i3i3−i3−i300000000000000−i3i3i3−i3000000
χ3422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2222211111111000000000000-1-111-1-111-1-1i3i3−i3−i3−i3−i3i3i300000000000000i3−i3−i3i3000000
χ3522222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2221111111100000000000011-1-1-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000i3−i3−i3i3000000
χ3622222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2221111111100000000000011-1-1-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000−i3i3i3−i3000000
χ372222-2-2-2-222-2-2200002-222-2-2-22-22-200000022-2-200002222−2−2−2−200002-22-20000000000000022−2−222−2−222−2−2000000000000
χ382222-2-2-2-222-2-2200002-222-2-2-22-22-200000022-2-20000−2−2−2−2222200002-22-200000000000000−2−222−2−222−2−222000000000000
χ392222-2-2-2-222-2-2200002-222-2-2-2-22-2200000022-2-200002222−2−2−2−20000-22-2200000000000000−2−222−2−22222−2−2000000000000
χ402222-2-2-2-222-2-2200002-222-2-2-2-22-2200000022-2-20000−2−2−2−222220000-22-220000000000000022−2−222−2−2−2−222000000000000
χ412222-2-2-2-2-2-222200002-222-2-2-22-2-22000000-2-22200002222−2−2−2−200002-2-220000000000000022−2−2−2−222−2−222000000000000
χ422222-2-2-2-2-2-222200002-222-2-2-22-2-22000000-2-2220000−2−2−2−2222200002-2-2200000000000000−2−22222−2−222−2−2000000000000
χ432222-2-2-2-2-2-222200002-222-2-2-2-222-2000000-2-22200002222−2−2−2−20000-222-200000000000000−2−22222−2−2−2−222000000000000
χ442222-2-2-2-2-2-222200002-222-2-2-2-222-2000000-2-2220000−2−2−2−222220000-222-20000000000000022−2−2−2−22222−2−2000000000000
χ4522-2-222-2-22-22-2200002-2-2-2-22200002-22-2002-22-20000−i2−i2i2i2−i2−i2i2i200000000002-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ4622-2-222-2-22-22-2200002-2-2-2-22200002-22-2002-22-20000i2i2−i2−i2i2i2−i2−i200000000002-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ4722-2-222-2-22-22-2200002-2-2-2-2220000-22-22002-22-20000−i2−i2i2i2−i2−i2i2i20000000000-22-2200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000
χ4822-2-222-2-22-22-2200002-2-2-2-2220000-22-22002-22-20000i2i2−i2−i2i2i2−i2−i20000000000-22-2200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000
χ4922-2-222-2-2-22-22200002-2-2-2-22200002-2-2200-22-220000−i2−i2i2i2−i2−i2i2i200000000002-2-2200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ5022-2-222-2-2-22-22200002-2-2-2-22200002-2-2200-22-220000i2i2−i2−i2i2i2−i2−i200000000002-2-2200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ5122-2-222-2-2-22-22200002-2-2-2-2220000-222-200-22-220000−i2−i2i2i2−i2−i2i2i20000000000-222-200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ5222-2-222-2-2-22-22200002-2-2-2-2220000-222-200-22-220000i2i2−i2−i2i2i2−i2−i20000000000-222-200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ5322-2-2-2-2222-2-2222-2-2222-2-22-2-2000000002-22-2-2222-2-200000000000000002-20000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ5422-2-2-2-2222-2-2222-2-2222-2-22-2-2000000002-22-2-2222-2-200000000000000002-2000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ5522-2-2-2-2222-2-222-222-222-2-22-2-200000000-222-2-22-2-2222i2i−2i−2i−2i−2i2i2i00000000-22000000000000000000002i−2i−2i2i000000000000
χ5622-2-2-2-2222-2-222-222-222-2-22-2-200000000-222-2-22-2-222−2i−2i2i2i2i2i−2i−2i00000000-2200000000000000000000−2i2i2i−2i000000000000
χ5722-2-2-2-222-222-222-2-2222-2-22-2-200000000-22-222-222-2-20000000000000000-220000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ5822-2-2-2-222-222-222-2-2222-2-22-2-200000000-22-222-222-2-20000000000000000-22000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ5922-2-2-2-222-222-22-222-222-2-22-2-2000000002-2-222-2-2-2222i2i−2i−2i−2i−2i2i2i000000002-200000000000000000000−2i2i2i−2i000000000000
χ6022-2-2-2-222-222-22-222-222-2-22-2-2000000002-2-222-2-2-222−2i−2i2i2i2i2i−2i−2i000000002-2000000000000000000002i−2i−2i2i000000000000
χ612-22-22-22-200002-22-22-2-22-222-2000000000000002-22-22-22-22-22-2002i−2i000000000000002i−2i2i−2i000000000000000000002i−2i00
χ622-22-22-22-200002-22-22-2-22-222-2000000000000002-22-22-22-22-22-200−2i2i00000000000000−2i2i−2i2i00000000000000000000−2i2i00
χ632-22-22-22-200002-22-22-2-22-222-2000000000000002-22-2-22-22-22-22002i−2i000000000000002i−2i2i−2i00000000000000000000−2i2i00
χ642-22-22-22-200002-22-22-2-22-222-2000000000000002-22-2-22-22-22-2200−2i2i00000000000000−2i2i−2i2i000000000000000000002i−2i00
χ652-2-22-222-20000222-2-2-2-2-222-2200000000000000-222-22i−2i−2i2i−2i2i2i−2i2-20000000000002-22-200000000000000000000002i−2i0000
χ662-2-22-222-20000222-2-2-2-2-222-2200000000000000-222-22i−2i−2i2i−2i2i2i−2i-22000000000000-22-220000000000000000000000−2i2i0000
χ672-2-22-222-20000222-2-2-2-2-222-2200000000000000-222-2−2i2i2i−2i2i−2i−2i2i2-20000000000002-22-20000000000000000000000−2i2i0000
χ682-2-22-222-20000222-2-2-2-2-222-2200000000000000-222-2−2i2i2i−2i2i−2i−2i2i-22000000000000-22-2200000000000000000000002i−2i0000
χ694444-4-4-4-444-4-4-20000-22-2-22224-44-4000000-2-2220000000000000000-22-2200000000000000000000000000000000000000
χ704444-4-4-4-444-4-4-20000-22-2-2222-44-44000000-2-22200000000000000002-22-200000000000000000000000000000000000000
χ714444-4-4-4-4-4-444-20000-22-2-22224-4-4400000022-2-20000000000000000-222-200000000000000000000000000000000000000
χ724444-4-4-4-4-4-444-20000-22-2-2222-444-400000022-2-200000000000000002-2-2200000000000000000000000000000000000000
χ7344-4-444-4-44-44-4-20000-22222-2-200004-44-400-22-220000000000000000000000-22-2200000000000000000000000000000000
χ7444-4-444-4-44-44-4-20000-22222-2-20000-44-4400-22-2200000000000000000000002-22-200000000000000000000000000000000
χ7544-4-444-4-4-44-44-20000-22222-2-200004-4-44002-22-20000000000000000000000-222-200000000000000000000000000000000
χ7644-4-444-4-4-44-44-20000-22222-2-20000-444-4002-22-200000000000000000000002-2-2200000000000000000000000000000000
χ7744-4-4-4-4444-4-44-24-4-44-2-222-222000000004-4-222-2-2-2220000000000000000-22000000000000000000000000000000000000
χ7844-4-4-4-4444-4-44-2-444-4-2-222-22200000000-44-222-222-2-200000000000000002-2000000000000000000000000000000000000
χ7944-4-4-4-444-444-4-24-4-44-2-222-22200000000-442-2-22-2-22200000000000000002-2000000000000000000000000000000000000
χ8044-4-4-4-444-444-4-2-444-4-2-222-222000000004-42-2-2222-2-20000000000000000-22000000000000000000000000000000000000
χ814-44-44-44-4000044-44-4-4-44-444-400000000000000-44-44000000000000000000000000000000000000000000000000000000
χ824-44-44-44-40000-24-44-422-22-2-22000000000000002-22-20000000000000000000000000023−23−2323000000000000000000000000
χ834-44-44-44-40000-24-44-422-22-2-22000000000000002-22-200000000000000000000000000−232323−23000000000000000000000000
χ844-44-44-44-40000-2-44-4422-22-2-2200000000000000-22-2200000000004i−4i00000000000000−2i2i−2i2i000000000000000000000000
χ854-44-44-44-40000-2-44-4422-22-2-2200000000000000-22-220000000000−4i4i000000000000002i−2i2i−2i000000000000000000000000
χ864-44-4-44-44000040000-444-4-4-4400000000000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ874-44-4-44-44000040000-444-4-4-44000000000000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ884-4-444-4-44000040000-44-44-44-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ894-4-444-4-44000040000-44-44-44-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ904-4-44-444-400004-4-444-4-4-444-44000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ914-4-44-444-40000-244-4-4222-2-22-2000000000000002-2-22000000004-4000000000000-22-220000000000000000000000000000
χ924-4-44-444-40000-244-4-4222-2-22-2000000000000002-2-2200000000-440000000000002-22-20000000000000000000000000000
χ934-4-44-444-40000-2-4-444222-2-22-200000000000000-222-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ944-4-44-444-40000-2-4-444222-2-22-200000000000000-222-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ958-88-8-88-880000-400004-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-888-8-880000-400004-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000

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