Finite Group Databasebeta

← Group #10877412

Character table — Group #10877412

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222344444444666666622444444441212121212121212888888884444661212121212121212121212121212121288888888888824661212444444
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ91111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-11
χ101111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111-1
χ111111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-1-1111-1
χ121111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-111-1-111-1-1-11
χ131111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ141111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11
χ151111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-11
χ161111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-11-1-11111-1-11-1
χ17222222222-22222-2-2-22222222-2-222-2-222-2-2-2-2-2-22222000000000000-2-222-2-222-2-200000000000000000000000000000000
χ18222222222-22222-2-2-22222222-2-2-2-222-2-222-2-2-2-22222000000000000-2-2-2-222-2-22200000000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222222-2-2-2-222-2-2-2-2-2-2-2-20000000000002222-2-2-2-22200000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-22222-2-2-2-2-2-2-2-2-2-200000000000022-2-22222-2-200000000000000000000000000000000
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
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-1-111110000000022-2-211-1-1-1-11111-1-1-1-11111000000000000-2211-1-1000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-1-1111100000000-2-22211-1-1-1-111111111-1-1-1-10000000000002-2-1-111000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-111110000000022-2-2111111-1-1-1-1-1-1-1-111110000000000002-2-1-111000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-1111100000000-2-222111111-1-1-1-11111-1-1-1-1000000000000-2211-1-1000000
χ2922222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-100000000000011-1-111-1-111−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i3000000
χ3022222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-100000000000011-1-111-1-111i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i3000000
χ3122222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-222-2-2221111-1-1-1-10000000000001111-1-111-1-1−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i3000000
χ3222222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-222-2-2221111-1-1-1-10000000000001111-1-111-1-1i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i3000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-22211111111000000000000-1-1-1-11111-1-1−i3−i3i3i3i3i3−i3−i300000000000000i3−i3−i3i3000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-22211111111000000000000-1-1-1-11111-1-1i3i3−i3−i3−i3−i3i3i300000000000000−i3i3i3−i3000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22222-2-211111111000000000000-1-111-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000−i3i3i3−i3000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22222-2-211111111000000000000-1-111-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000i3−i3−i3i3000000
χ37222-2-22-2-22-200002-2222-2-22-2-2000000000022-2-200002222-2-2-2-22i−2i0000000000002i−2i2i−2i00000000000000000000002i−2i0000
χ38222-2-22-2-22-200002-2222-2-22-2-2000000000022-2-200002222-2-2-2-2−2i2i000000000000−2i2i−2i2i0000000000000000000000−2i2i0000
χ39222-2-22-2-22-200002-2222-2-22-2-2000000000022-2-20000-2-2-2-222222i−2i0000000000002i−2i2i−2i0000000000000000000000−2i2i0000
χ40222-2-22-2-22-200002-2222-2-22-2-2000000000022-2-20000-2-2-2-22222−2i2i000000000000−2i2i−2i2i00000000000000000000002i−2i0000
χ4122-22-2-2-22202i2i−2i−2i0002-22-2-22-200002i−2i002-200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000000002i−2i002-20000000022−2−2−i2−i2i2i222−2−2000000000000
χ4222-22-2-2-22202i2i−2i−2i0002-22-2-22-200002i−2i002-200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000002i−2i002-200000000−2−222i2i2−i2−i2−2−222000000000000
χ4322-22-2-2-22202i2i−2i−2i0002-22-2-22-20000−2i2i00-2200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i200000000−2i2i00-2200000000−2−222i2i2−i2−i222−2−2000000000000
χ4422-22-2-2-22202i2i−2i−2i0002-22-2-22-20000−2i2i00-2200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i200000000−2i2i00-220000000022−2−2−i2−i2i2i2−2−222000000000000
χ4522-22-2-2-2220−2i−2i2i2i0002-22-2-22-200002i−2i00-220000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000002i−2i00-220000000022−2−2i2i2−i2−i2−2−222000000000000
χ4622-22-2-2-2220−2i−2i2i2i0002-22-2-22-200002i−2i00-220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000002i−2i00-2200000000−2−222−i2−i2i2i222−2−2000000000000
χ4722-22-2-2-2220−2i−2i2i2i0002-22-2-22-20000−2i2i002-20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i200000000−2i2i002-200000000−2−222−i2−i2i2i2−2−222000000000000
χ4822-22-2-2-2220−2i−2i2i2i0002-22-2-22-20000−2i2i002-20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i200000000−2i2i002-20000000022−2−2i2i2−i2−i222−2−2000000000000
χ492-2222-2-2-2222-22-2-2-22-2-2-2-22222-2000000002-22-22-22-20000000000002-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ502-2222-2-2-2222-22-2-2-22-2-2-2-22222-2000000002-22-22-22-20000000000002-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ512-2222-2-2-222-22-22-2-22-2-2-2-2222-22000000002-22-2-22-22000000000000-2200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ522-2222-2-2-222-22-22-2-22-2-2-2-2222-22000000002-22-2-22-22000000000000-220000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ532-2222-2-2-22-22-22-222-2-2-2-2-2222-2200000000-22-222-22-22i−2i2i−2i2i−2i2i−2i0000-220000000000000000000000002i−2i2i−2i000000000000
χ542-2222-2-2-22-22-22-222-2-2-2-2-2222-2200000000-22-222-22-2−2i2i−2i2i−2i2i−2i2i0000-22000000000000000000000000−2i2i−2i2i000000000000
χ552-2222-2-2-22-2-22-2222-2-2-2-2-22222-200000000-22-22-22-222i−2i2i−2i2i−2i2i−2i00002-2000000000000000000000000−2i2i−2i2i000000000000
χ562-2222-2-2-22-2-22-2222-2-2-2-2-22222-200000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i00002-20000000000000000000000002i−2i2i−2i000000000000
χ572-22-2-2-2222200002-2-2-2-2222-2-20000000000-222-200002i−2i2i−2i−2i2i−2i2i002i−2i000000000000002i−2i2i−2i000000000000000000002-200
χ582-22-2-2-2222200002-2-2-2-2222-2-20000000000-222-200002i−2i2i−2i−2i2i−2i2i00−2i2i00000000000000−2i2i−2i2i00000000000000000000-2200
χ592-22-2-2-2222200002-2-2-2-2222-2-20000000000-222-20000−2i2i−2i2i2i−2i2i−2i002i−2i000000000000002i−2i2i−2i00000000000000000000-2200
χ602-22-2-2-2222200002-2-2-2-2222-2-20000000000-222-20000−2i2i−2i2i2i−2i2i−2i00−2i2i00000000000000−2i2i−2i2i000000000000000000002-200
χ612-2-22-222-2202i−2i−2i2i000-22-22-22-2002i−2i002-20000002i−2i−2i2i2−2−222−2−220000002i−2i002-20000000000−i2i2i2−i2−222−2i2−i2−i2i2000000000000
χ622-2-22-222-2202i−2i−2i2i000-22-22-22-2002i−2i002-20000002i−2i−2i2i−222−2−222−20000002i−2i002-20000000000i2−i2−i2i22−2−22−i2i2i2−i2000000000000
χ632-2-22-222-2202i−2i−2i2i000-22-22-22-200−2i2i00-220000002i−2i−2i2i2−2−222−2−22000000−2i2i00-220000000000i2−i2−i2i22−2−22i2−i2−i2i2000000000000
χ642-2-22-222-2202i−2i−2i2i000-22-22-22-200−2i2i00-220000002i−2i−2i2i−222−2−222−2000000−2i2i00-220000000000−i2i2i2−i2−222−2−i2i2i2−i2000000000000
χ652-2-22-222-220−2i2i2i−2i000-22-22-22-2002i−2i00-22000000−2i2i2i−2i2−2−222−2−220000002i−2i00-220000000000−i2i2i2−i22−2−22−i2i2i2−i2000000000000
χ662-2-22-222-220−2i2i2i−2i000-22-22-22-2002i−2i00-22000000−2i2i2i−2i−222−2−222−20000002i−2i00-220000000000i2−i2−i2i2−222−2i2−i2−i2i2000000000000
χ672-2-22-222-220−2i2i2i−2i000-22-22-22-200−2i2i002-2000000−2i2i2i−2i2−2−222−2−22000000−2i2i002-20000000000i2−i2−i2i2−222−2−i2i2i2−i2000000000000
χ682-2-22-222-220−2i2i2i−2i000-22-22-22-200−2i2i002-2000000−2i2i2i−2i−222−2−222−2000000−2i2i002-20000000000−i2i2i2−i22−2−22i2−i2−i2i2000000000000
χ69444-4-44-4-4440000-44-444-4-44-4-40000000000-4-4440000000000000000000000000000000000000000000000000000000000
χ70444-4-44-4-4-240000-44-4-2-222-222000000000022-2-20000000000000000000000000023−23−23230000000000000000000000000000
χ71444-4-44-4-4-240000-44-4-2-222-222000000000022-2-200000000000000000000000000−232323−230000000000000000000000000000
χ72444-4-44-4-4-2-400004-44-2-222-2220000000000-2-2220000000000004i−4i000000000000−2i2i−2i2i0000000000000000000000000000
χ73444-4-44-4-4-2-400004-44-2-222-2220000000000-2-222000000000000−4i4i0000000000002i−2i2i−2i0000000000000000000000000000
χ7444-44-4-4-44-204i4i−4i−4i000-22-222-2200004i−4i004-40000−2i−2i2i2i0000000000000000−2i2i00-2200000000000000000000000000000000
χ7544-44-4-4-44-204i4i−4i−4i000-22-222-220000−4i4i00-440000−2i−2i2i2i00000000000000002i−2i002-200000000000000000000000000000000
χ7644-44-4-4-44-20−4i−4i4i4i000-22-222-2200004i−4i00-4400002i2i−2i−2i0000000000000000−2i2i002-200000000000000000000000000000000
χ7744-44-4-4-44-20−4i−4i4i4i000-22-222-220000−4i4i004-400002i2i−2i−2i00000000000000002i−2i00-2200000000000000000000000000000000
χ7844-4-44-44-44000000004-4-44-4-44000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ7944-4-44-44-44000000004-4-44-4-440000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ804-4444-4-4-4-244-44-4-4-442222-2-2-24-400000000-22-22-22-22000000000000-220000000000000000000000000000000000000000
χ814-4444-4-4-4-24-44-44-4-442222-2-2-2-4400000000-22-222-22-20000000000002-20000000000000000000000000000000000000000
χ824-4444-4-4-4-2-44-44-444-42222-2-2-2-44000000002-22-2-22-220000000000002-20000000000000000000000000000000000000000
χ834-4444-4-4-4-2-4-44-4444-42222-2-2-24-4000000002-22-22-22-2000000000000-220000000000000000000000000000000000000000
χ844-44-4-4-4444-40000-444-4-4444-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000
χ854-44-4-4-444-2400004-4-422-2-2-22200000000002-2-22000000000000004i−4i00000000000000−2i2i−2i2i000000000000000000000000
χ864-44-4-4-444-2400004-4-422-2-2-22200000000002-2-2200000000000000−4i4i000000000000002i−2i2i−2i000000000000000000000000
χ874-44-4-4-444-2-40000-44422-2-2-2220000000000-222-200000000000000000000000000000023−23−2323000000000000000000000000
χ884-44-4-4-444-2-40000-44422-2-2-2220000000000-222-2000000000000000000000000000000−232323−23000000000000000000000000
χ894-4-44-444-4-204i−4i−4i4i0002-22-22-22004i−4i004-4000000−2i2i2i−2i00000000000000−2i2i00-220000000000000000000000000000000000
χ904-4-44-444-4-204i−4i−4i4i0002-22-22-2200−4i4i00-44000000−2i2i2i−2i000000000000002i−2i002-20000000000000000000000000000000000
χ914-4-44-444-4-20−4i4i4i−4i0002-22-22-22004i−4i00-440000002i−2i−2i2i00000000000000−2i2i002-20000000000000000000000000000000000
χ924-4-44-444-4-20−4i4i4i−4i0002-22-22-2200−4i4i004-40000002i−2i−2i2i000000000000002i−2i00-220000000000000000000000000000000000
χ934-4-4-444-44400000000-444-4-4-4400000000000000000022−22−2222−222222−220000000000000000000000000000000000000000000000
χ944-4-4-444-44400000000-444-4-4-44000000000000000000−222222−2222−22−22220000000000000000000000000000000000000000000000
χ9588-8-88-88-8-400000000-444-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8-888-88-4000000004-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000

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