Finite Group Databasebeta

← Group #10945126

Character table — Group #10945126

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order1222222234444444466666664444444444121212121212121244444444888812121212121212121212242424242424242422224444444424661212888844
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111111111-1-1
χ911111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-1-11
χ1011111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-1111-1
χ1111111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1111-1
χ1211111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-11111-1-1-11
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-11-1-11111-1-11-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-111-11
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-11
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111-111-1-111-1-11-1
χ17222222222-2-22222-2-22222222-2-200000000-2-22222-2-2222222220000-2-200000000000000000000-2-20000-2-2000000000000
χ18222222222-2-22222-2-22222222-2-200000000-2-22222-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000000022000022000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-200002200000000000000000000-2-2000022000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2222200002200000000000000000000220000-2-2000000000000
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
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-100000000-2-22211-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-10000000022-2-2111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ2922-22-2-2-222002i2i−2i−2i002-22-2-22-20000000000002i2i−2i−2i0022-2-22i2i−2i−2i2−2−i2i2000000000022−2−2−i2−i2i2i20000000000000000002−2−i2i200
χ3022-22-2-2-222002i2i−2i−2i002-22-2-22-20000000000002i2i−2i−2i0022-2-22i2i−2i−2i−22i2−i20000000000−2−222i2i2−i2−i2000000000000000000−22i2−i200
χ3122-22-2-2-222002i2i−2i−2i002-22-2-22-20000000000002i2i−2i−2i00-2-222−2i−2i2i2i2−2−i2i2000000000022−2−2−i2−i2i2i2000000000000000000−22i2−i200
χ3222-22-2-2-222002i2i−2i−2i002-22-2-22-20000000000002i2i−2i−2i00-2-222−2i−2i2i2i−22i2−i20000000000−2−222i2i2−i2−i20000000000000000002−2−i2i200
χ3322-22-2-2-22200−2i−2i2i2i002-22-2-22-2000000000000−2i−2i2i2i0022-2-2−2i−2i2i2i2−2i2−i2000000000022−2−2i2i2−i2−i20000000000000000002−2i2−i200
χ3422-22-2-2-22200−2i−2i2i2i002-22-2-22-2000000000000−2i−2i2i2i0022-2-2−2i−2i2i2i−22−i2i20000000000−2−222−i2−i2i2i2000000000000000000−22−i2i200
χ3522-22-2-2-22200−2i−2i2i2i002-22-2-22-2000000000000−2i−2i2i2i00-2-2222i2i−2i−2i2−2i2−i2000000000022−2−2i2i2−i2−i2000000000000000000−22−i2i200
χ3622-22-2-2-22200−2i−2i2i2i002-22-2-22-2000000000000−2i−2i2i2i00-2-2222i2i−2i−2i−22−i2i20000000000−2−222−i2−i2i2i20000000000000000002−2i2−i200
χ3722-2-222-2-222-200002-2-2-2222-2-20000002i2i−2i−2i2-200002-22i−2i2i−2i000000000000002i2i−2i−2i0000000000002i−2i22-2-200000000000000
χ3822-2-222-2-222-200002-2-2-2222-2-20000002i2i−2i−2i2-200002-2−2i2i−2i2i000000000000002i2i−2i−2i000000000000−2i2i-2-22200000000000000
χ3922-2-222-2-222-200002-2-2-2222-2-2000000−2i−2i2i2i2-200002-22i−2i2i−2i00000000000000−2i−2i2i2i0000000000002i−2i-2-22200000000000000
χ4022-2-222-2-222-200002-2-2-2222-2-2000000−2i−2i2i2i2-200002-2−2i2i−2i2i00000000000000−2i−2i2i2i000000000000−2i2i22-2-200000000000000
χ4122-2-222-2-22-220000-22-2-2222-2-2002i2i−2i−2i0000-220000-222i−2i2i−2i00000000002i2i−2i−2i00000000000022-2-2−2i2i000000000000000000
χ4222-2-222-2-22-220000-22-2-2222-2-2002i2i−2i−2i0000-220000-22−2i2i−2i2i00000000002i2i−2i−2i000000000000-2-2222i−2i000000000000000000
χ4322-2-222-2-22-220000-22-2-2222-2-200−2i−2i2i2i0000-220000-222i−2i2i−2i0000000000−2i−2i2i2i000000000000-2-222−2i2i000000000000000000
χ4422-2-222-2-22-220000-22-2-2222-2-200−2i−2i2i2i0000-220000-22−2i2i−2i2i0000000000−2i−2i2i2i00000000000022-2-22i−2i000000000000000000
χ452-2222-2-2-222-22i−2i2i−2i-22-22-22-22-22i−2i000000002-22i−2i2i−2i-220000000000002i−2i00000000000000002-22-2002i−2i2i−2i00000000000000
χ462-2222-2-2-222-22i−2i2i−2i-22-22-22-22-22i−2i000000002-22i−2i2i−2i-220000000000002i−2i0000000000000000-22-2200−2i2i−2i2i00000000000000
χ472-2222-2-2-222-2−2i2i−2i2i-22-22-22-22-2−2i2i000000002-2−2i2i−2i2i-22000000000000−2i2i00000000000000002-22-200−2i2i−2i2i00000000000000
χ482-2222-2-2-222-2−2i2i−2i2i-22-22-22-22-2−2i2i000000002-2−2i2i−2i2i-22000000000000−2i2i0000000000000000-22-22002i−2i2i−2i00000000000000
χ492-2222-2-2-22-222i−2i2i−2i2-2-22-22-22-2−2i2i2-22-22i−2i2i−2i-222i−2i2i−2i2-2000000000000−2i2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ502-2222-2-2-22-222i−2i2i−2i2-2-22-22-22-2−2i2i-22-22−2i2i−2i2i-222i−2i2i−2i2-2000000000000−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ512-2222-2-2-22-22−2i2i−2i2i2-2-22-22-22-22i−2i2-22-2−2i2i−2i2i-22−2i2i−2i2i2-20000000000002i−2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ522-2222-2-2-22-22−2i2i−2i2i2-2-22-22-22-22i−2i-22-222i−2i2i−2i-22−2i2i−2i2i2-20000000000002i−2i-22-222i−2i2i−2i00000000000000000000000000000000
χ532-2222-2-2-2-1-222i−2i2i−2i2-21-11-11-11−2i2i2-22-22i−2i2i−2i1-1−ii−ii-11000000000000i−i-11-11−ii−ii−i3i3−i3i33−33−300000000000000−i3i33−3000000
χ542-2222-2-2-2-1-222i−2i2i−2i2-21-11-11-11−2i2i2-22-22i−2i2i−2i1-1−ii−ii-11000000000000i−i-11-11−ii−iii3−i3i3−i3−33−3300000000000000i3−i3−33000000
χ552-2222-2-2-2-1-222i−2i2i−2i2-21-11-11-11−2i2i-22-22−2i2i−2i2i1-1−ii−ii-11000000000000i−i1-11-1i−ii−i−i3i3−i3i33−33−300000000000000i3−i3−33000000
χ562-2222-2-2-2-1-222i−2i2i−2i2-21-11-11-11−2i2i-22-22−2i2i−2i2i1-1−ii−ii-11000000000000i−i1-11-1i−ii−ii3−i3i3−i3−33−3300000000000000−i3i33−3000000
χ572-2222-2-2-2-1-22−2i2i−2i2i2-21-11-11-112i−2i2-22-2−2i2i−2i2i1-1i−ii−i-11000000000000−ii-11-11i−ii−i−i3i3−i3i3−33−3300000000000000−i3i3−33000000
χ582-2222-2-2-2-1-22−2i2i−2i2i2-21-11-11-112i−2i2-22-2−2i2i−2i2i1-1i−ii−i-11000000000000−ii-11-11i−ii−ii3−i3i3−i33−33−300000000000000i3−i33−3000000
χ592-2222-2-2-2-1-22−2i2i−2i2i2-21-11-11-112i−2i-22-222i−2i2i−2i1-1i−ii−i-11000000000000−ii1-11-1−ii−ii−i3i3−i3i3−33−3300000000000000i3−i33−3000000
χ602-2222-2-2-2-1-22−2i2i−2i2i2-21-11-11-112i−2i-22-222i−2i2i−2i1-1i−ii−i-11000000000000−ii1-11-1−ii−iii3−i3i3−i33−33−300000000000000−i3i3−33000000
χ612-2-2-22-2222220000-2-22-2-22-2-22002i−2i−2i2i0000220000-2-200002-22-20000002i−2i−2i2i0000000000000000002i−2i−2i2i2-2000000000000
χ622-2-2-22-2222220000-2-22-2-22-2-22002i−2i−2i2i0000220000-2-20000-22-220000002i−2i−2i2i000000000000000000−2i2i2i−2i-22000000000000
χ632-2-2-22-2222220000-2-22-2-22-2-2200−2i2i2i−2i0000220000-2-200002-22-2000000−2i2i2i−2i000000000000000000−2i2i2i−2i2-2000000000000
χ642-2-2-22-2222220000-2-22-2-22-2-2200−2i2i2i−2i0000220000-2-20000-22-22000000−2i2i2i−2i0000000000000000002i−2i−2i2i-22000000000000
χ652-2-2-22-2222-2-20000222-2-22-2-220000002-2-22-2-200002200002-22-200000000002-2-2200000000-222-2000000-22000000000000
χ662-2-2-22-2222-2-20000222-2-22-2-220000002-2-22-2-20000220000-22-2200000000002-2-22000000002-2-220000002-2000000000000
χ672-2-2-22-2222-2-20000222-2-22-2-22000000-222-2-2-200002200002-22-20000000000-222-2000000002-2-22000000-22000000000000
χ682-2-2-22-2222-2-20000222-2-22-2-22000000-222-2-2-20000220000-22-220000000000-222-200000000-222-20000002-2000000000000
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-40000000022-2-2-2-222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2440000000022222222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-4-44-4400000000-444-4-4-440000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ72444-4-4-44-4400000000-444-4-4-44000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ7344-44-4-4-44-2004i4i−4i−4i00-22-222-22000000000000−2i−2i2i2i000000000022−22−2i22i20000000000−2−222i2i2−i2−i2000000000000000000000000
χ7444-44-4-4-44-2004i4i−4i−4i00-22-222-22000000000000−2i−2i2i2i0000000000−22222i2−2i2000000000022−2−2−i2−i2i2i2000000000000000000000000
χ7544-44-4-4-44-200−4i−4i4i4i00-22-222-220000000000002i2i−2i−2i000000000022−222i2−2i20000000000−2−222−i2−i2i2i2000000000000000000000000
χ7644-44-4-4-44-200−4i−4i4i4i00-22-222-220000000000002i2i−2i−2i0000000000−2222−2i22i2000000000022−2−2i2i2−i2−i2000000000000000000000000
χ7744-4-444-4-4-24-400004-422-2-2-2220000004i4i−4i−4i-220000-22000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ7844-4-444-4-4-24-400004-422-2-2-222000000−4i−4i4i4i-220000-220000000000000000002i2i−2i−2i00000000000000000000000000000000
χ7944-4-444-4-4-2-440000-4422-2-2-222004i4i−4i−4i00002-200002-200000000000000−2i−2i2i2i000000000000000000000000000000000000
χ8044-4-444-4-4-2-440000-4422-2-2-22200−4i−4i4i4i00002-200002-2000000000000002i2i−2i−2i000000000000000000000000000000000000
χ814-4444-4-4-4-24-44i−4i4i−4i-442-22-22-224i−4i00000000-22−2i2i−2i2i2-2000000000000−2i2i0000000000000000000000000000000000000000
χ824-4444-4-4-4-24-4−4i4i−4i4i-442-22-22-22−4i4i00000000-222i−2i2i−2i2-20000000000002i−2i0000000000000000000000000000000000000000
χ834-44-4-44-4440000000044-4-44-4-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ844-44-4-44-4440000000044-4-44-4-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ854-4-44-444-44004-4-4400-4-4-4-44440000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ864-4-44-444-4400-444-400-4-4-4-4444000000000000-444-400000000000000000000000000000000000000000000000000000000
χ874-4-44-444-4-2004-4-44002222-2-2-2000000000000-222-2000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ884-4-44-444-4-2004-4-44002222-2-2-2000000000000-222-2000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ894-4-44-444-4-200-444-4002222-2-2-20000000000002-2-22000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ904-4-44-444-4-200-444-4002222-2-2-20000000000002-2-22000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ914-4-4-44-444-2440000-4-4-222-222-2004i−4i−4i4i0000-2-200002200000000000000−2i2i2i−2i000000000000000000000000000000000000
χ924-4-4-44-444-2440000-4-4-222-222-200−4i4i4i−4i0000-2-2000022000000000000002i−2i−2i2i000000000000000000000000000000000000
χ934-4-4-44-444-2-4-4000044-222-222-20000004-4-44220000-2-2000000000000000000-222-200000000000000000000000000000000
χ944-4-4-44-444-2-4-4000044-222-222-2000000-444-4220000-2-20000000000000000002-2-2200000000000000000000000000000000
χ95888-8-8-88-8-4000000004-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-88-88-400000000-4-444-444000000000000000000000000000000000000000000000000000000000000000000000000

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