Finite Group Databasebeta

← Group #10943997

Character table — Group #10943997

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222344444444666666622444444441212121212121212444444446688881212121212121212242424242424242422224444444424661212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1
χ911111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-11-1
χ1011111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-111-11
χ1111111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-11
χ1211111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-11111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-11
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111111-111-1-1-1-1111-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11-111-1-111-1-1-11
χ17222222222-2-22222-2-22222222-2-200000000-2-22222-2-222222222-2-2000000000000000000000000-2-2-2-20000000000000000
χ18222222222-2-22222-2-22222222-2-200000000-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022220000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000-2-2220000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000022-2-20000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-1-1222211111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-1-1-2-2-2-2111111111111111100000000000022-1-1-1-1000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-1000000001122-2-2-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-10000000011-2-222-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-1000000001122-2-21111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-10000000011-2-2221111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ29222-22-2-2-22002i2i−2i−2i0022-22-2-2-20000000000002i2i−2i−2i0022-2-22i2i−2i−2i002−2−i2i20000000022−2−2−i2−i2i2i20000000000000000002−2−i2i200
χ30222-22-2-2-22002i2i−2i−2i0022-22-2-2-20000000000002i2i−2i−2i0022-2-22i2i−2i−2i00−22i2−i200000000−2−222i2i2−i2−i2000000000000000000−22i2−i200
χ31222-22-2-2-22002i2i−2i−2i0022-22-2-2-20000000000002i2i−2i−2i00-2-222−2i−2i2i2i002−2−i2i20000000022−2−2−i2−i2i2i2000000000000000000−22i2−i200
χ32222-22-2-2-22002i2i−2i−2i0022-22-2-2-20000000000002i2i−2i−2i00-2-222−2i−2i2i2i00−22i2−i200000000−2−222i2i2−i2−i20000000000000000002−2−i2i200
χ33222-22-2-2-2200−2i−2i2i2i0022-22-2-2-2000000000000−2i−2i2i2i0022-2-2−2i−2i2i2i002−2i2−i20000000022−2−2i2i2−i2−i20000000000000000002−2i2−i200
χ34222-22-2-2-2200−2i−2i2i2i0022-22-2-2-2000000000000−2i−2i2i2i0022-2-2−2i−2i2i2i00−22−i2i200000000−2−222−i2−i2i2i2000000000000000000−22−i2i200
χ35222-22-2-2-2200−2i−2i2i2i0022-22-2-2-2000000000000−2i−2i2i2i00-2-2222i2i−2i−2i002−2i2−i20000000022−2−2i2i2−i2−i2000000000000000000−22−i2i200
χ36222-22-2-2-2200−2i−2i2i2i0022-22-2-2-2000000000000−2i−2i2i2i00-2-2222i2i−2i−2i00−22−i2i200000000−2−222−i2−i2i2i20000000000000000002−2i2−i200
χ3722-22-22-2-222-200002-22-22-22-2-20000002i2i−2i−2i2-200002-200002i−2i2i−2i00000000002i2i−2i−2i0000000022-2-2002i−2i0000000000000000
χ3822-22-22-2-222-200002-22-22-22-2-20000002i2i−2i−2i2-200002-20000−2i2i−2i2i00000000002i2i−2i−2i00000000-2-22200−2i2i0000000000000000
χ3922-22-22-2-222-200002-22-22-22-2-2000000−2i−2i2i2i2-200002-200002i−2i2i−2i0000000000−2i−2i2i2i00000000-2-222002i−2i0000000000000000
χ4022-22-22-2-222-200002-22-22-22-2-2000000−2i−2i2i2i2-200002-20000−2i2i−2i2i0000000000−2i−2i2i2i0000000022-2-200−2i2i0000000000000000
χ4122-22-22-2-22-220000-222-22-22-2-2002i2i−2i−2i0000-220000-2200002i−2i2i−2i0000002i2i−2i−2i000000000000000000−2i2i22-2-2000000000000
χ4222-22-22-2-22-220000-222-22-22-2-2002i2i−2i−2i0000-220000-220000−2i2i−2i2i0000002i2i−2i−2i0000000000000000002i−2i-2-222000000000000
χ4322-22-22-2-22-220000-222-22-22-2-200−2i−2i2i2i0000-220000-2200002i−2i2i−2i000000−2i−2i2i2i000000000000000000−2i2i-2-222000000000000
χ4422-22-22-2-22-220000-222-22-22-2-200−2i−2i2i2i0000-220000-220000−2i2i−2i2i000000−2i−2i2i2i0000000000000000002i−2i22-2-2000000000000
χ452-22-2-222-22222-22-2-2-2-22-2-222-22-22i−2i2i−2i2i−2i2i−2i222-22-2-2-2000000002-200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ462-22-2-222-22222-22-2-2-2-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i222-22-2-2-2000000002-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ472-22-2-222-2222-22-22-2-2-22-2-222-2-222i−2i2i−2i−2i2i−2i2i22-22-22-2-200000000-2200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ482-22-2-222-2222-22-22-2-2-22-2-222-2-22−2i2i−2i2i2i−2i2i−2i22-22-22-2-200000000-220000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ492-22-2-222-22-2-22-22-222-22-2-222-2-2200000000-2-22-22-22200000000-22000000000000000000002-22-200002-22-2000000000000
χ502-22-2-222-22-2-22-22-222-22-2-222-2-2200000000-2-22-22-22200000000-2200000000000000000000-22-220000-22-22000000000000
χ512-22-2-222-22-2-2-22-2222-22-2-222-22-200000000-2-2-22-2222000000002-2000000000000000000002-22-20000-22-22000000000000
χ522-22-2-222-22-2-2-22-2222-22-2-222-22-200000000-2-2-22-2222000000002-200000000000000000000-22-2200002-22-2000000000000
χ532-22-2-222-2-1222-22-2-2-21-111-1-112-22i−2i2i−2i2i−2i2i−2i-1-1-11-111100000000-110000−ii−ii−ii−ii3−33−33−33−300000000000000−i3i3−i3i3000000
χ542-22-2-222-2-1222-22-2-2-21-111-1-112-22i−2i2i−2i2i−2i2i−2i-1-1-11-111100000000-110000−ii−ii−ii−ii−33−33−33−3300000000000000i3−i3i3−i3000000
χ552-22-2-222-2-1222-22-2-2-21-111-1-112-2−2i2i−2i2i−2i2i−2i2i-1-1-11-111100000000-110000i−ii−ii−ii−i3−33−33−33−300000000000000i3−i3i3−i3000000
χ562-22-2-222-2-1222-22-2-2-21-111-1-112-2−2i2i−2i2i−2i2i−2i2i-1-1-11-111100000000-110000i−ii−ii−ii−i−33−33−33−3300000000000000−i3i3−i3i3000000
χ572-22-2-222-2-122-22-22-2-21-111-1-11-222i−2i2i−2i−2i2i−2i2i-1-11-11-111000000001-10000−ii−iii−ii−i3−33−3−33−3300000000000000−i3i3i3−i3000000
χ582-22-2-222-2-122-22-22-2-21-111-1-11-222i−2i2i−2i−2i2i−2i2i-1-11-11-111000000001-10000−ii−iii−ii−i−33−333−33−300000000000000i3−i3−i3i3000000
χ592-22-2-222-2-122-22-22-2-21-111-1-11-22−2i2i−2i2i2i−2i2i−2i-1-11-11-111000000001-10000i−ii−i−ii−ii3−33−3−33−3300000000000000i3−i3−i3i3000000
χ602-22-2-222-2-122-22-22-2-21-111-1-11-22−2i2i−2i2i2i−2i2i−2i-1-11-11-111000000001-10000i−ii−i−ii−ii−33−333−33−300000000000000−i3i3i3−i3000000
χ612-2-2-222-2222-20000-22-2-2-222-220000002-2-222-20000-222-22-2000000000000002-2-220000000000002-2002-2-22000000000000
χ622-2-2-222-2222-20000-22-2-2-222-220000002-2-222-20000-22-22-22000000000000002-2-22000000000000-2200-222-2000000000000
χ632-2-2-222-2222-20000-22-2-2-222-22000000-222-22-20000-222-22-200000000000000-222-20000000000002-200-222-2000000000000
χ642-2-2-222-2222-20000-22-2-2-222-22000000-222-22-20000-22-22-2200000000000000-222-2000000000000-22002-2-22000000000000
χ652-2-2-222-222-2200002-2-2-2-222-22002-2-220000-2200002-22-22-200000000002-2-220000000000002-2-22-22000000000000000000
χ662-2-2-222-222-2200002-2-2-2-222-22002-2-220000-2200002-2-22-2200000000002-2-22000000000000-222-22-2000000000000000000
χ672-2-2-222-222-2200002-2-2-2-222-2200-222-20000-2200002-22-22-20000000000-222-2000000000000-222-2-22000000000000000000
χ682-2-2-222-222-2200002-2-2-2-222-2200-222-20000-2200002-2-22-220000000000-222-20000000000002-2-222-2000000000000000000
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-40000000022-2-2-2-222000000002200000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244000000002222222200000000-2-200000000000000000000000000000000000000000000
χ71444-44-4-4-4-2004i4i−4i−4i00-2-22-2222000000000000−2i−2i2i2i00000000000022−22−2i22i200000000−2−222i2i2−i2−i2000000000000000000000000
χ72444-44-4-4-4-2004i4i−4i−4i00-2-22-2222000000000000−2i−2i2i2i000000000000−22222i2−2i20000000022−2−2−i2−i2i2i2000000000000000000000000
χ73444-44-4-4-4-200−4i−4i4i4i00-2-22-22220000000000002i2i−2i−2i00000000000022−222i2−2i200000000−2−222−i2−i2i2i2000000000000000000000000
χ74444-44-4-4-4-200−4i−4i4i4i00-2-22-22220000000000002i2i−2i−2i000000000000−2222−2i22i20000000022−2−2i2i2−i2−i2000000000000000000000000
χ7544-44-44-4-4-24-400004-4-22-22-2220000004i4i−4i−4i-220000-22000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ7644-44-44-4-4-24-400004-4-22-22-222000000−4i−4i4i4i-220000-220000000000000000002i2i−2i−2i00000000000000000000000000000000
χ7744-44-44-4-4-2-440000-44-22-22-222004i4i−4i−4i00002-200002-200000000000000−2i−2i2i2i000000000000000000000000000000000000
χ7844-44-44-4-4-2-440000-44-22-22-22200−4i−4i4i4i00002-200002-2000000000000002i2i−2i−2i000000000000000000000000000000000000
χ7944-4-4-4-4444000000004-4-4-4-44400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ8044-4-4-4-4444000000004-4-4-4-4440000000000000000000000-444-40000000000000000000000000000000000000000000000
χ814-444-4-4-444004i−4i−4i4i00-444-4-4-440000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ824-444-4-4-44400−4i4i4i−4i00-444-4-4-44000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ834-444-4-4-44-2004i−4i−4i4i002-2-2222-2000000000000−2i2i2i−2i0000000000000000000000006−6−66−i6i6i6−i6000000000000000000000000
χ844-444-4-4-44-2004i−4i−4i4i002-2-2222-2000000000000−2i2i2i−2i000000000000000000000000−666−6i6−i6−i6i6000000000000000000000000
χ854-444-4-4-44-200−4i4i4i−4i002-2-2222-20000000000002i−2i−2i2i0000000000000000000000006−6−66i6−i6−i6i6000000000000000000000000
χ864-444-4-4-44-200−4i4i4i−4i002-2-2222-20000000000002i−2i−2i2i000000000000000000000000−666−6−i6i6i6−i6000000000000000000000000
χ874-44-4-444-4-2-4-44-44-4442-222-2-22-440000000022-22-22-2-2000000002-200000000000000000000000000000000000000000000
χ884-44-4-444-4-2-4-4-44-44442-222-2-224-400000000222-22-2-2-200000000-2200000000000000000000000000000000000000000000
χ894-4-444-44-4400000000-4-444-44-40000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ904-4-444-44-4400000000-4-444-44-4000000000000000000-444-400000000000000000000000000000000000000000000000000
χ914-4-4-444-44-24-40000-44222-2-22-20000004-4-44-2200002-2000000000000000000-222-200000000000000000000000000000000
χ924-4-4-444-44-24-40000-44222-2-22-2000000-444-4-2200002-20000000000000000002-2-2200000000000000000000000000000000
χ934-4-4-444-44-2-4400004-4222-2-22-2004-4-4400002-20000-2200000000000000-222-2000000000000000000000000000000000000
χ944-4-4-444-44-2-4400004-4222-2-22-200-444-400002-20000-22000000000000002-2-22000000000000000000000000000000000000
χ9588-8-8-8-888-400000000-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-888-88-8-40000000044-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000

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