Finite Group Databasebeta

← Group #10844713

Character table — Group #10844713

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666444444444412121212121212128888888844441212121212121212121212121212121212128888888888884412121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-111-11
χ11111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-11
χ12111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11-111-1-111-1-1-11
χ172222222222222-2-2-2-222222222222-2-2-2-2-2-22222-2-2-2-200000000000000000000-2-222-2-222-2-2000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-222222222-2-2-2-200000000000000000000-2-2-2-222-2-222000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000002222-2-2-2-222000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2222222-2-2-2-2-2-2-2-2-2-20000000000000000000022-2-22222-2-2000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-211111111-1-11111111100000000000022-1-1-1-1000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-11111000000000000−i3−i3i3i3−i3−i3i3i311-1-111-1-11100000000000000−i3i3−i3i3000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-11111000000000000i3i3−i3−i3i3i3−i3−i311-1-111-1-11100000000000000i3−i3i3−i3000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-11111000000000000−i3−i3i3i3−i3−i3i3i31111-1-111-1-100000000000000i3−i3i3−i3000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-11111000000000000i3i3−i3−i3i3i3−i3−i31111-1-111-1-100000000000000−i3i3−i3i3000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-222-2-21111-1-1-1-10000000022-2-2-1-1-1-1111111-1-1-1-111110000000000002-2-1-111000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-222-2-21111-1-1-1-100000000-2-2221111-1-1-1-111-1-1-1-11111000000000000-2211-1-1000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-2-2-2221111-1-1-1-10000000022-2-2-1-1-1-11111111111-1-1-1-1000000000000-2211-1-1000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-2-2-2221111-1-1-1-100000000-2-2221111-1-1-1-1111111-1-1-1-10000000000002-2-1-111000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-222-2-22211111111000000000000−i3−i3i3i3i3i3−i3−i3-1-1-1-11111-1-100000000000000−i3i3i3−i3000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-222-2-22211111111000000000000i3i3−i3−i3−i3−i3i3i3-1-1-1-11111-1-100000000000000i3−i3−i3i3000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2222222-2-211111111000000000000−i3−i3i3i3i3i3−i3−i3-1-111-1-1-1-11100000000000000i3−i3−i3i3000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2222222-2-211111111000000000000i3i3−i3−i3−i3−i3i3i3-1-111-1-1-1-11100000000000000−i3i3i3−i3000000
χ37222-22-2-2-2222-2-2000022-2-22-2-22-22-200000022-2-200002222−2−2−2−2000000000000002-2002-20022−2−222−2−222−2−2000000000000
χ38222-22-2-2-2222-2-2000022-2-22-2-22-22-200000022-2-20000−2−2−2−22222000000000000002-2002-200−2−222−2−222−2−222000000000000
χ39222-22-2-2-2222-2-2000022-2-22-2-2-22-2200000022-2-200002222−2−2−2−200000000000000-2200-220022−2−2−2−222−2−222000000000000
χ40222-22-2-2-2222-2-2000022-2-22-2-2-22-2200000022-2-20000−2−2−2−2222200000000000000-2200-2200−2−22222−2−222−2−2000000000000
χ41222-22-2-2-22-2-222000022-2-22-2-22-2-22000000-2-22200002222−2−2−2−2000000000000002-200-2200−2−22222−2−2−2−222000000000000
χ42222-22-2-2-22-2-222000022-2-22-2-22-2-22000000-2-2220000−2−2−2−22222000000000000002-200-220022−2−2−2−22222−2−2000000000000
χ43222-22-2-2-22-2-222000022-2-22-2-2-222-2000000-2-22200002222−2−2−2−200000000000000-22002-200−2−222−2−22222−2−2000000000000
χ44222-22-2-2-22-2-222000022-2-22-2-2-222-2000000-2-2220000−2−2−2−2222200000000000000-22002-20022−2−222−2−2−2−222000000000000
χ4522-22-2-22-2200002-2-222-22-2-2-220000000000000022-2-22i2i−2i−2i2i2i−2i−2i002i−2i00002i−2i2i−2i0000000000000000000000000000002-200
χ4622-22-2-22-2200002-2-222-22-2-2-220000000000000022-2-22i2i−2i−2i2i2i−2i−2i00−2i2i0000−2i2i−2i2i000000000000000000000000000000-2200
χ4722-22-2-22-2200002-2-222-22-2-2-220000000000000022-2-2−2i−2i2i2i−2i−2i2i2i002i−2i00002i−2i2i−2i000000000000000000000000000000-2200
χ4822-22-2-22-2200002-2-222-22-2-2-220000000000000022-2-2−2i−2i2i2i−2i−2i2i2i00−2i2i0000−2i2i−2i2i0000000000000000000000000000002-200
χ492-22-2-2-222200002-22-2-22-22-2-22000000000000002-22-22-22-22-22-22i−2i002i−2i2i−2i000000000000000000000000000000002i−2i0000
χ502-22-2-2-222200002-22-2-22-22-2-22000000000000002-22-22-22-22-22-2−2i2i00−2i2i−2i2i00000000000000000000000000000000−2i2i0000
χ512-22-2-2-222200002-22-2-22-22-2-22000000000000002-22-2-22-22-22-222i−2i002i−2i2i−2i00000000000000000000000000000000−2i2i0000
χ522-22-2-2-222200002-22-2-22-22-2-22000000000000002-22-2-22-22-22-22−2i2i00−2i2i−2i2i000000000000000000000000000000002i−2i0000
χ532-2-222-2-2222-22-20000-2-2222-2-20000002i−2i2i−2i2-22-20000−i2i2i2−i2i2−i2−i2i200000000000000002i−2i002i−2i−i2i2−i2i22−22−22−22−2000000000000
χ542-2-222-2-2222-22-20000-2-2222-2-20000002i−2i2i−2i2-22-20000i2−i2−i2i2−i2i2i2−i200000000000000002i−2i002i−2ii2−i2i2−i2−22−22−22−22000000000000
χ552-2-222-2-2222-22-20000-2-2222-2-2000000−2i2i−2i2i2-22-20000−i2i2i2−i2i2−i2−i2i20000000000000000−2i2i00−2i2i−i2i2−i2i2−22−22−22−22000000000000
χ562-2-222-2-2222-22-20000-2-2222-2-2000000−2i2i−2i2i2-22-20000i2−i2−i2i2−i2i2i2−i20000000000000000−2i2i00−2i2ii2−i2i2−i22−22−22−22−2000000000000
χ572-2-222-2-222-22-220000-2-2222-2-20000002i−2i−2i2i-22-220000−i2i2i2−i2i2−i2−i2i200000000000000002i−2i00−2i2ii2−i2i2−i22−22−2−22−22000000000000
χ582-2-222-2-222-22-220000-2-2222-2-20000002i−2i−2i2i-22-220000i2−i2−i2i2−i2i2i2−i200000000000000002i−2i00−2i2i−i2i2−i2i2−22−222−22−2000000000000
χ592-2-222-2-222-22-220000-2-2222-2-2000000−2i2i2i−2i-22-220000−i2i2i2−i2i2−i2−i2i20000000000000000−2i2i002i−2ii2−i2i2−i2−22−222−22−2000000000000
χ602-2-222-2-222-22-220000-2-2222-2-2000000−2i2i2i−2i-22-220000i2−i2−i2i2−i2i2i2−i20000000000000000−2i2i002i−2i−i2i2−i2i22−22−2−22−22000000000000
χ612-2-2-2222-222-2-2222-2-2-2-2-2-222200002-200002-2-222-2-222i−2i−2i2i2i−2i−2i2i0000000000002-2000000002i−2i−2i2i00000000000000000000
χ622-2-2-2222-222-2-2222-2-2-2-2-2-222200002-200002-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000000000002-200000000−2i2i2i−2i00000000000000000000
χ632-2-2-2222-222-2-22-2-222-2-2-2-22220000-2200002-2-22-222-200000000000000000000-220000000000002-2-222-2-22000000000000
χ642-2-2-2222-222-2-22-2-222-2-2-2-22220000-2200002-2-22-222-200000000000000000000-22000000000000-222-2-222-2000000000000
χ652-2-2-2222-22-222-222-2-2-2-2-2-22220000-220000-222-22-2-222i−2i−2i2i2i−2i−2i2i000000000000-2200000000−2i2i2i−2i00000000000000000000
χ662-2-2-2222-22-222-222-2-2-2-2-2-22220000-220000-222-22-2-22−2i2i2i−2i−2i2i2i−2i000000000000-22000000002i−2i−2i2i00000000000000000000
χ672-2-2-2222-22-222-2-2-222-2-2-2-222200002-20000-222-2-222-2000000000000000000002-20000000000002-2-22-222-2000000000000
χ682-2-2-2222-22-222-2-2-222-2-2-2-222200002-20000-222-2-222-2000000000000000000002-2000000000000-222-22-2-22000000000000
χ69444-44-4-4-4-244-4-40000-2-222-2224-44-4000000-2-22200000000000000000000000000-2200-2200000000000000000000000000
χ70444-44-4-4-4-244-4-40000-2-222-222-44-44000000-2-222000000000000000000000000002-2002-200000000000000000000000000
χ71444-44-4-4-4-2-4-4440000-2-222-2224-4-4400000022-2-200000000000000000000000000-22002-200000000000000000000000000
χ72444-44-4-4-4-2-4-4440000-2-222-222-444-400000022-2-2000000000000000000000000002-200-2200000000000000000000000000
χ7344-44-4-44-440000-444-44-44-4-4-4400000000000000-4-444000000000000000000000000000000000000000000000000000000
χ7444-44-4-44-4-200004-4-44-22-2222-200000000000000-2-22200000000004i−4i0000−2i2i−2i2i0000000000000000000000000000000000
χ7544-44-4-44-4-200004-4-44-22-2222-200000000000000-2-2220000000000−4i4i00002i−2i2i−2i0000000000000000000000000000000000
χ7644-44-4-44-4-20000-444-4-22-2222-20000000000000022-2-2000000000000000023−23−23230000000000000000000000000000000000
χ7744-44-4-44-4-20000-444-4-22-2222-20000000000000022-2-20000000000000000−232323−230000000000000000000000000000000000
χ7844-4-4-44-444000000004-4-44-44-4000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ7944-4-4-44-444000000004-4-44-44-40000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ804-444-44-4-4400000000-444-4-44-400000000000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ814-444-44-4-4400000000-444-4-44-4000000000000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ824-44-4-4-44440000-44-44-44-44-4-4400000000000000-44-44000000000000000000000000000000000000000000000000000000
χ834-44-4-4-444-200004-44-42-22-222-200000000000000-22-22000000004i−4i00−2i2i−2i2i00000000000000000000000000000000000000
χ844-44-4-4-444-200004-44-42-22-222-200000000000000-22-2200000000−4i4i002i−2i2i−2i00000000000000000000000000000000000000
χ854-44-4-4-444-20000-44-442-22-222-2000000000000002-22-200000000000023−23−232300000000000000000000000000000000000000
χ864-44-4-4-444-20000-44-442-22-222-2000000000000002-22-2000000000000−232323−2300000000000000000000000000000000000000
χ874-4-444-4-44-24-44-4000022-2-2-2220000004i−4i4i−4i-22-220000000000000000000000000000−2i2i00−2i2i000000000000000000000000
χ884-4-444-4-44-24-44-4000022-2-2-222000000−4i4i−4i4i-22-2200000000000000000000000000002i−2i002i−2i000000000000000000000000
χ894-4-444-4-44-2-44-44000022-2-2-2220000004i−4i−4i4i2-22-20000000000000000000000000000−2i2i002i−2i000000000000000000000000
χ904-4-444-4-44-2-44-44000022-2-2-222000000−4i4i4i−4i2-22-200000000000000000000000000002i−2i00−2i2i000000000000000000000000
χ914-4-4-4444-4-24-4-4444-4-42222-2-2-200004-40000-222-2-222-200000000000000000000-2200000000000000000000000000000000
χ924-4-4-4444-4-24-4-44-4-4442222-2-2-20000-440000-222-22-2-22000000000000000000002-200000000000000000000000000000000
χ934-4-4-4444-4-2-444-444-4-42222-2-2-20000-4400002-2-22-222-2000000000000000000002-200000000000000000000000000000000
χ944-4-4-4444-4-2-444-4-4-4442222-2-2-200004-400002-2-222-2-2200000000000000000000-2200000000000000000000000000000000
χ9588-8-8-88-88-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-888-88-8-8-4000000004-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000

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