Finite Group Databasebeta

← Group #10943987

Character table — Group #10943987

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order1222222234444444466666664444444444121212121212121222224444888812121212121212121212242424242424242444444444444424661212888824
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1-11
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-1-1111-1
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111-1
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-11111-1-1-11
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-111-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-111-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11-111-1-111-1-11-1
χ172222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2222222220000-2-20000000000000000-2-2-2-200000000000000000000
χ182222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000222200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-20000220000000000000000-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-22222000022000000000000000022-2-200000000000000000000
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
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-100000000-2-22211-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-1-1-10000000022-2-2111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-1-1-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ29222-2-2-22-222i2i−2i−2i2-22-222-2-2-22-22i−2i000000002i2i−2i−2i2-22-20000000000002i−2i0000000000000000000022-2-22i2i−2i−2i000000000000
χ30222-2-2-22-222i2i−2i−2i2-22-222-2-2-22-22i−2i000000002i2i−2i−2i2-22-20000000000002i−2i00000000000000000000-2-222−2i−2i2i2i000000000000
χ31222-2-2-22-222i2i−2i−2i-22-2222-2-2-22-2−2i2i22-2-22i2i−2i−2i2i2i−2i−2i-22-22000000000000−2i2i22-2-22i2i−2i−2i00000000000000000000000000000000
χ32222-2-2-22-222i2i−2i−2i-22-2222-2-2-22-2−2i2i-2-222−2i−2i2i2i2i2i−2i−2i-22-22000000000000−2i2i-2-222−2i−2i2i2i00000000000000000000000000000000
χ33222-2-2-22-22−2i−2i2i2i2-22-222-2-2-22-2−2i2i00000000−2i−2i2i2i2-22-2000000000000−2i2i0000000000000000000022-2-2−2i−2i2i2i000000000000
χ34222-2-2-22-22−2i−2i2i2i2-22-222-2-2-22-2−2i2i00000000−2i−2i2i2i2-22-2000000000000−2i2i00000000000000000000-2-2222i2i−2i−2i000000000000
χ35222-2-2-22-22−2i−2i2i2i-22-2222-2-2-22-22i−2i22-2-2−2i−2i2i2i−2i−2i2i2i-22-220000000000002i−2i22-2-2−2i−2i2i2i00000000000000000000000000000000
χ36222-2-2-22-22−2i−2i2i2i-22-2222-2-2-22-22i−2i-2-2222i2i−2i−2i−2i−2i2i2i-22-220000000000002i−2i-2-2222i2i−2i−2i00000000000000000000000000000000
χ37222-2-2-22-2-12i2i−2i−2i-22-22-1-1111-11−2i2i22-2-22i2i−2i−2i−i−iii1-11-1000000000000i−i-1-111−i−iii−i3−i3i3i333−3−300000000000000−i3i33−3000000
χ38222-2-2-22-2-12i2i−2i−2i-22-22-1-1111-11−2i2i22-2-22i2i−2i−2i−i−iii1-11-1000000000000i−i-1-111−i−iiii3i3−i3−i3−3−33300000000000000i3−i3−33000000
χ39222-2-2-22-2-12i2i−2i−2i-22-22-1-1111-11−2i2i-2-222−2i−2i2i2i−i−iii1-11-1000000000000i−i11-1-1ii−i−i−i3−i3i3i333−3−300000000000000i3−i3−33000000
χ40222-2-2-22-2-12i2i−2i−2i-22-22-1-1111-11−2i2i-2-222−2i−2i2i2i−i−iii1-11-1000000000000i−i11-1-1ii−i−ii3i3−i3−i3−3−33300000000000000−i3i33−3000000
χ41222-2-2-22-2-1−2i−2i2i2i-22-22-1-1111-112i−2i22-2-2−2i−2i2i2iii−i−i1-11-1000000000000−ii-1-111ii−i−i−i3−i3i3i3−3−33300000000000000−i3i3−33000000
χ42222-2-2-22-2-1−2i−2i2i2i-22-22-1-1111-112i−2i22-2-2−2i−2i2i2iii−i−i1-11-1000000000000−ii-1-111ii−i−ii3i3−i3−i333−3−300000000000000i3−i33−3000000
χ43222-2-2-22-2-1−2i−2i2i2i-22-22-1-1111-112i−2i-2-2222i2i−2i−2iii−i−i1-11-1000000000000−ii11-1-1−i−iii−i3−i3i3i3−3−33300000000000000i3−i33−3000000
χ44222-2-2-22-2-1−2i−2i2i2i-22-22-1-1111-112i−2i-2-2222i2i−2i−2iii−i−i1-11-1000000000000−ii11-1-1−i−iiii3i3−i3−i333−3−300000000000000−i3i3−33000000
χ4522-2-222-2-222-22-200002-2-222-2-200000000002-22-2000022-2-222-2-2−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000−i2i2−i2i200
χ4622-2-222-2-222-22-200002-2-222-2-200000000002-22-2000022-2-222-2-2i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000i2−i2i2−i200
χ4722-2-222-2-222-22-200002-2-222-2-200000000002-22-20000-2-222-2-222−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000i2−i2i2−i200
χ4822-2-222-2-222-22-200002-2-222-2-200000000002-22-20000-2-222-2-222i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000−i2i2−i2i200
χ4922-2-222-2-22-22-2200002-2-222-2-20000000000-22-22000022-2-2-2-222−i2i2i2−i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000−i2i2i2−i200
χ5022-2-222-2-22-22-2200002-2-222-2-20000000000-22-22000022-2-2-2-222i2−i2−i2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000i2−i2−i2i200
χ5122-2-222-2-22-22-2200002-2-222-2-20000000000-22-220000-2-22222-2-2−i2i2i2−i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000i2−i2−i2i200
χ5222-2-222-2-22-22-2200002-2-222-2-20000000000-22-220000-2-22222-2-2i2−i2−i2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000−i2i2i2−i200
χ532-2-22-222-22000022-2-2-2-22-222-20000002i−2i2i−2i000022-2-22-22-2000000000000002i−2i2i−2i000000002-20000002i−2i2i−2i000000000000
χ542-2-22-222-22000022-2-2-2-22-222-20000002i−2i2i−2i000022-2-2-22-22000000000000002i−2i2i−2i00000000-22000000−2i2i−2i2i000000000000
χ552-2-22-222-22000022-2-2-2-22-222-2000000−2i2i−2i2i000022-2-22-22-200000000000000−2i2i−2i2i000000002-2000000−2i2i−2i2i000000000000
χ562-2-22-222-22000022-2-2-2-22-222-2000000−2i2i−2i2i000022-2-2-22-2200000000000000−2i2i−2i2i00000000-220000002i−2i2i−2i000000000000
χ572-2-22-222-220000-2-222-2-22-222-2002-22-200000000-2-2222-22-200000000002-22-2000000000000-22002-22-20000000000000000
χ582-2-22-222-220000-2-222-2-22-222-2002-22-200000000-2-222-22-2200000000002-22-20000000000002-200-22-220000000000000000
χ592-2-22-222-220000-2-222-2-22-222-200-22-2200000000-2-2222-22-20000000000-22-22000000000000-2200-22-220000000000000000
χ602-2-22-222-220000-2-222-2-22-222-200-22-2200000000-2-222-22-220000000000-22-220000000000002-2002-22-20000000000000000
χ612-2-2-22-222200002-2-22-2-2-22-222002-2-22000000002-2-2200002-22-20000002-2-22000000000000002-200002-2-22000000000000
χ622-2-2-22-222200002-2-22-2-2-22-222002-2-22000000002-2-220000-22-220000002-2-2200000000000000-220000-222-2000000000000
χ632-2-2-22-222200002-2-22-2-2-22-22200-222-2000000002-2-2200002-22-2000000-222-2000000000000002-20000-222-2000000000000
χ642-2-2-22-222200002-2-22-2-2-22-22200-222-2000000002-2-220000-22-22000000-222-200000000000000-2200002-2-22000000000000
χ652-2-2-22-22220000-222-2-2-2-22-2220000002-2-220000-222-200002-22-200000000002-2-220000000000-222-2-220000000000000000
χ662-2-2-22-22220000-222-2-2-2-22-2220000002-2-220000-222-20000-22-2200000000002-2-2200000000002-2-222-20000000000000000
χ672-2-2-22-22220000-222-2-2-2-22-222000000-222-20000-222-200002-22-20000000000-222-20000000000-22-222-20000000000000000
χ682-2-2-22-22220000-222-2-2-2-22-222000000-222-20000-222-20000-22-220000000000-222-200000000002-22-2-220000000000000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-400000000-2-2-2-22222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2440000000022222222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-4-44-4-24i4i−4i−4i4-44-4-2-2222-224i−4i00000000−2i−2i2i2i-22-22000000000000−2i2i0000000000000000000000000000000000000000
χ72444-4-4-44-4-2−4i−4i4i4i4-44-4-2-2222-22−4i4i000000002i2i−2i−2i-22-220000000000002i−2i0000000000000000000000000000000000000000
χ7344-44-4-4-4444i−4i−4i4i00004-44-4-4-4400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ7444-44-4-4-444−4i4i4i−4i00004-44-4-4-440000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ7544-44-4-4-44-24i−4i−4i4i0000-22-2222-20000000000−2i2i2i−2i000000000000000000000000006−6−66i6−i6−i6i6000000000000000000000000
χ7644-44-4-4-44-24i−4i−4i4i0000-22-2222-20000000000−2i2i2i−2i00000000000000000000000000−666−6−i6i6i6−i6000000000000000000000000
χ7744-44-4-4-44-2−4i4i4i−4i0000-22-2222-200000000002i−2i−2i2i000000000000000000000000006−6−66−i6i6i6−i6000000000000000000000000
χ7844-44-4-4-44-2−4i4i4i−4i0000-22-2222-200000000002i−2i−2i2i00000000000000000000000000−666−6i6−i6−i6i6000000000000000000000000
χ7944-4-444-4-4-24-44-40000-222-2-2220000000000-22-22000000000000−2i22i2−2i22i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ8044-4-444-4-4-24-44-40000-222-2-2220000000000-22-220000000000002i2−2i22i2−2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ8144-4-444-4-4-2-44-440000-222-2-22200000000002-22-2000000000000−2i22i22i2−2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ8244-4-444-4-4-2-44-440000-222-2-22200000000002-22-20000000000002i2−2i2−2i22i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ834-4444-4-4-4400000000-4444-4-4-400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ844-4444-4-4-4400000000-4444-4-4-40000000000000000000000-444-40000000000000000000000000000000000000000000000
χ854-44-4-44-44400000000-44-4-44-440000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ864-44-4-44-44400000000-44-4-44-44000000000000000000-444-400000000000000000000000000000000000000000000000000
χ874-4-44-444-4-2000044-4-422-22-2-220000004i−4i4i−4i0000-2-222000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ884-4-44-444-4-2000044-4-422-22-2-22000000−4i4i−4i4i0000-2-2220000000000000000002i−2i2i−2i00000000000000000000000000000000
χ894-4-44-444-4-20000-4-44422-22-2-22004-44-40000000022-2-200000000000000-22-22000000000000000000000000000000000000
χ904-4-44-444-4-20000-4-44422-22-2-2200-44-440000000022-2-2000000000000002-22-2000000000000000000000000000000000000
χ914-4-4-44-444-200004-4-44222-22-2-2004-4-4400000000-222-200000000000000-222-2000000000000000000000000000000000000
χ924-4-4-44-444-200004-4-44222-22-2-200-444-400000000-222-2000000000000002-2-22000000000000000000000000000000000000
χ934-4-4-44-444-20000-444-4222-22-2-20000004-4-4400002-2-22000000000000000000-222-200000000000000000000000000000000
χ944-4-4-44-444-20000-444-4222-22-2-2000000-444-400002-2-220000000000000000002-2-2200000000000000000000000000000000
χ958-8888-8-8-8-4000000004-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-88-88-4000000004-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000

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