Finite Group Databasebeta

← Group #10845943

Character table — Group #10845943

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222344444444666666622224444441212121212121212888888884444666612121212121212121212121212128888888888884412121212444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11
χ11111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-11
χ12111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-1-11-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-111-1-111-1-1-11
χ172222222222222-2-2-2-222222222222-2-2-2-2-2-22222-2-2-2-20000000000002222-2-20000-2-2-2-20000000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-222222222-2-2-2-2000000000000-2-2-2-2-2-2000022220000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-222-2-222-2-2-2-2-2-2-2-200000000000022-2-2220000-2-2220000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2222222-2-2-2-2-2-2-2-2-2-2000000000000-2-22222000022-2-20000000000000000000000000000
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
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-11111-1-1-1-11111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-10000000022221111-1-1-1-1-1-11111-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-21111-1-111111111111100000000000022-1-1-1-1000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-11111000000000000-1-1-1-111−i3−i3i3i31111−i3−i3i3i300000000000000−i3i3−i3i3000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-11111000000000000-1-1-1-111i3i3−i3−i31111i3i3−i3−i300000000000000i3−i3i3−i3000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-11111000000000000111111−i3−i3i3i3-1-1-1-1−i3−i3i3i300000000000000i3−i3i3−i3000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-11111000000000000111111i3i3−i3−i3-1-1-1-1i3i3−i3−i300000000000000−i3i3−i3i3000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-222-2-21111-1-1-1-10000000022-2-2-1-11111-1-1-1-1-1-11111110000000000002-2-1-111000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-222-2-21111-1-1-1-100000000-2-222-1-111111111-1-111-1-1-1-1000000000000-2211-1-1000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-2-2-2221111-1-1-1-10000000022-2-211-1-111-1-1-1-111-1-11111000000000000-2211-1-1000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-2-2-2221111-1-1-1-100000000-2-22211-1-111111111-1-1-1-1-1-10000000000002-2-1-111000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-222-2-22211111111000000000000-1-111-1-1−i3−i3i3i311-1-1i3i3−i3−i300000000000000−i3i3i3−i3000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-222-2-22211111111000000000000-1-111-1-1i3i3−i3−i311-1-1−i3−i3i3i300000000000000i3−i3−i3i3000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2222222-2-21111111100000000000011-1-1-1-1−i3−i3i3i3-1-111i3i3−i3−i300000000000000i3−i3−i3i3000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2222222-2-21111111100000000000011-1-1-1-1i3i3−i3−i3-1-111−i3−i3i3i300000000000000−i3i3i3−i3000000
χ37222-22-2-2-2222-2-200002-2-22-22-20000002i−2i2i−2i22-2-200002222−2−2−2−2000000000000002i−2i2i−2i000022−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ38222-22-2-2-2222-2-200002-2-22-22-20000002i−2i2i−2i22-2-20000−2−2−2−22222000000000000002i−2i2i−2i0000−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ39222-22-2-2-2222-2-200002-2-22-22-2000000−2i2i−2i2i22-2-200002222−2−2−2−200000000000000−2i2i−2i2i000022−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ40222-22-2-2-2222-2-200002-2-22-22-2000000−2i2i−2i2i22-2-20000−2−2−2−2222200000000000000−2i2i−2i2i0000−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ41222-22-2-2-22-2-22200002-2-22-22-20000002i−2i−2i2i-2-22200002222−2−2−2−2000000000000002i−2i−2i2i0000−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ42222-22-2-2-22-2-22200002-2-22-22-20000002i−2i−2i2i-2-2220000−2−2−2−22222000000000000002i−2i−2i2i000022−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ43222-22-2-2-22-2-22200002-2-22-22-2000000−2i2i2i−2i-2-22200002222−2−2−2−200000000000000−2i2i2i−2i0000−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ44222-22-2-2-22-2-22200002-2-22-22-2000000−2i2i2i−2i-2-2220000−2−2−2−2222200000000000000−2i2i2i−2i000022−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ4522-2-2-222-2200002-22-222-2-2-2-220000000000000022-2-22i2i−2i−2i2i2i−2i−2i2i−2i000000002i−2i2i−2i000000000000000000000000002-20000
χ4622-2-2-222-2200002-22-222-2-2-2-220000000000000022-2-22i2i−2i−2i2i2i−2i−2i−2i2i00000000−2i2i−2i2i00000000000000000000000000-220000
χ4722-2-2-222-2200002-22-222-2-2-2-220000000000000022-2-2−2i−2i2i2i−2i−2i2i2i2i−2i000000002i−2i2i−2i00000000000000000000000000-220000
χ4822-2-2-222-2200002-22-222-2-2-2-220000000000000022-2-2−2i−2i2i2i−2i−2i2i2i−2i2i00000000−2i2i−2i2i000000000000000000000000002-20000
χ492-222-22-2-222-22-222-2-2-2-2-222-2200002-200002-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002-20000000000002i−2i2i−2i00000000000000000000
χ502-222-22-2-222-22-222-2-2-2-2-222-2200002-200002-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000002-2000000000000−2i2i−2i2i00000000000000000000
χ512-222-22-2-222-22-2-2-222-2-2-222-220000-2200002-22-2-22-220000000000000000-2200000000000000002-22-22-22-2000000000000
χ522-222-22-2-222-22-2-2-222-2-2-222-220000-2200002-22-2-22-220000000000000000-220000000000000000-22-22-22-22000000000000
χ532-222-22-2-22-22-2222-2-2-2-2-222-220000-220000-22-222-22-22i−2i2i−2i2i−2i2i−2i00000000-22000000000000−2i2i−2i2i00000000000000000000
χ542-222-22-2-22-22-2222-2-2-2-2-222-220000-220000-22-222-22-2−2i2i−2i2i−2i2i−2i2i00000000-220000000000002i−2i2i−2i00000000000000000000
χ552-222-22-2-22-22-22-2-222-2-2-222-2200002-20000-22-22-22-2200000000000000002-200000000000000002-22-2-22-22000000000000
χ562-222-22-2-22-22-22-2-222-2-2-222-2200002-20000-22-22-22-2200000000000000002-20000000000000000-22-222-22-2000000000000
χ572-22-2-2-22222-2-220000-2222-2-2-22-22-20000002-2-220000−i2i2−i2i2i2−i2i2−i200002-22-200000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ582-22-2-2-22222-2-220000-2222-2-2-22-22-20000002-2-220000i2−i2i2−i2−i2i2−i2i200002-22-200000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ592-22-2-2-22222-2-220000-2222-2-2-2-22-220000002-2-220000−i2i2−i2i2i2−i2i2−i20000-22-2200000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000
χ602-22-2-2-22222-2-220000-2222-2-2-2-22-220000002-2-220000i2−i2i2−i2−i2i2−i2i20000-22-2200000000000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000
χ612-22-2-2-2222-222-20000-2222-2-2-22-2-22000000-222-20000−i2i2−i2i2i2−i2i2−i200002-2-2200000000000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ622-22-2-2-2222-222-20000-2222-2-2-22-2-22000000-222-20000i2−i2i2−i2−i2i2−i2i200002-2-2200000000000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ632-22-2-2-2222-222-20000-2222-2-2-2-222-2000000-222-20000−i2i2−i2i2i2−i2i2−i20000-222-200000000000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000000000
χ642-22-2-2-2222-222-20000-2222-2-2-2-222-2000000-222-20000i2−i2i2−i2−i2i2−i2i20000-222-200000000000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000000000
χ652-2-2-222-22200002-2-22-2-22-2-222000000000000002-2-222-2-222-2-22002-2000000000000002-22-2000000000000000000002-200
χ662-2-2-222-22200002-2-22-2-22-2-222000000000000002-2-222-2-222-2-2200-2200000000000000-22-2200000000000000000000-2200
χ672-2-2-222-22200002-2-22-2-22-2-222000000000000002-2-22-222-2-222-2002-2000000000000002-22-200000000000000000000-2200
χ682-2-2-222-22200002-2-22-2-22-2-222000000000000002-2-22-222-2-222-200-2200000000000000-22-22000000000000000000002-200
χ69444-44-4-4-4-244-4-40000-222-22-220000004i−4i4i−4i-2-22200000000000000000000000000−2i2i−2i2i0000000000000000000000000000
χ70444-44-4-4-4-244-4-40000-222-22-22000000−4i4i−4i4i-2-222000000000000000000000000002i−2i2i−2i0000000000000000000000000000
χ71444-44-4-4-4-2-4-4440000-222-22-220000004i−4i−4i4i22-2-200000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ72444-44-4-4-4-2-4-4440000-222-22-22000000−4i4i4i−4i22-2-2000000000000000000000000002i−2i−2i2i0000000000000000000000000000
χ7344-44-4-4-444000000004-44-44-4-4000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ7444-44-4-4-444000000004-44-44-4-40000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ7544-4-4-444-440000-44-4444-4-4-4-4400000000000000-4-444000000000000000000000000000000000000000000000000000000
χ7644-4-4-444-4-200004-44-4-2-22222-200000000000000-2-222000000004i−4i00000000−2i2i−2i2i00000000000000000000000000000000
χ7744-4-4-444-4-200004-44-4-2-22222-200000000000000-2-22200000000−4i4i000000002i−2i2i−2i00000000000000000000000000000000
χ7844-4-4-444-4-20000-44-44-2-22222-20000000000000022-2-200000000000000000023−23−232300000000000000000000000000000000
χ7944-4-4-444-4-20000-44-44-2-22222-20000000000000022-2-2000000000000000000−232323−2300000000000000000000000000000000
χ804-444-44-4-4-24-44-444-4-4222-2-22-200004-40000-22-22-22-220000000000000000-22000000000000000000000000000000000000
χ814-444-44-4-4-24-44-4-4-444222-2-22-20000-440000-22-222-22-200000000000000002-2000000000000000000000000000000000000
χ824-444-44-4-4-2-44-4444-4-4222-2-22-20000-4400002-22-2-22-2200000000000000002-2000000000000000000000000000000000000
χ834-444-44-4-4-2-44-44-4-444222-2-22-200004-400002-22-22-22-20000000000000000-22000000000000000000000000000000000000
χ844-44-4-4-444-24-4-4400002-2-2-22224-44-4000000-222-20000000000000000-22-2200000000000000000000000000000000000000
χ854-44-4-4-444-24-4-4400002-2-2-2222-44-44000000-222-200000000000000002-22-200000000000000000000000000000000000000
χ864-44-4-4-444-2-444-400002-2-2-22224-4-440000002-2-220000000000000000-222-200000000000000000000000000000000000000
χ874-44-4-4-444-2-444-400002-2-2-2222-444-40000002-2-2200000000000000002-2-2200000000000000000000000000000000000000
χ884-4-444-44-4400000000-44-4-444-400000000000000000022−22−2222−222222−220000000000000000000000000000000000000000000000
χ894-4-444-44-4400000000-44-4-444-4000000000000000000−222222−2222−22−22220000000000000000000000000000000000000000000000
χ904-4-4-444-4440000-444-4-4-44-4-44400000000000000-444-4000000000000000000000000000000000000000000000000000000
χ914-4-4-444-44-200004-4-4422-222-2-200000000000000-222-200000000004-400000000000000-22-22000000000000000000000000
χ924-4-4-444-44-200004-4-4422-222-2-200000000000000-222-20000000000-44000000000000002-22-2000000000000000000000000
χ934-4-4-444-44-20000-444-422-222-2-2000000000000002-2-2200000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ944-4-4-444-44-20000-444-422-222-2-2000000000000002-2-22000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ9588-88-8-8-88-400000000-44-44-444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-888-88-8-4000000004-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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