Finite Group Databasebeta

← Group #10945090

Character table — Group #10945090

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order1222222234444444466666664444444444121212121212121244444444888812121212121212121212242424242424242422224444444424661212888824
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
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
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1
χ911111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-1-11
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
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-11-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111111-111-1-1-1-111-11
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-111-11
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11-111-1-111-1-11-1
χ17222222222-2-22222-2-22222222-2-200000000-2-22222-2-2222222220000-2-200000000000000000000-2-2-2-20000000000000000
χ18222222222-2-22222-2-22222222-2-200000000-2-22222-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000000022220000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-200002200000000000000000000-2-2220000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-222220000220000000000000000000022-2-20000000000000000
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
χ29222-2-2-22-222-200002-2-2-2222-2-20000002i2i−2i−2i2-200002-22i2i−2i−2i000000000000002i2i−2i−2i0000000000002i−2i0022-2-2000000000000
χ30222-2-2-22-222-200002-2-2-2222-2-20000002i2i−2i−2i2-200002-2−2i−2i2i2i000000000000002i2i−2i−2i000000000000−2i2i00-2-222000000000000
χ31222-2-2-22-222-200002-2-2-2222-2-2000000−2i−2i2i2i2-200002-22i2i−2i−2i00000000000000−2i−2i2i2i0000000000002i−2i00-2-222000000000000
χ32222-2-2-22-222-200002-2-2-2222-2-2000000−2i−2i2i2i2-200002-2−2i−2i2i2i00000000000000−2i−2i2i2i000000000000−2i2i0022-2-2000000000000
χ33222-2-2-22-22-220000-22-2-2222-2-2002i2i−2i−2i0000-220000-222i2i−2i−2i00000000002i2i−2i−2i00000000000022-2-2−2i2i000000000000000000
χ34222-2-2-22-22-220000-22-2-2222-2-2002i2i−2i−2i0000-220000-22−2i−2i2i2i00000000002i2i−2i−2i000000000000-2-2222i−2i000000000000000000
χ35222-2-2-22-22-220000-22-2-2222-2-200−2i−2i2i2i0000-220000-222i2i−2i−2i0000000000−2i−2i2i2i000000000000-2-222−2i2i000000000000000000
χ36222-2-2-22-22-220000-22-2-2222-2-200−2i−2i2i2i0000-220000-22−2i−2i2i2i0000000000−2i−2i2i2i00000000000022-2-22i−2i000000000000000000
χ3722-22-22-2-222-22i2i−2i−2i-222-22-2-22-22i−2i000000002-22i2i−2i−2i-220000000000002i−2i00000000000000002-22-200002i−2i2i−2i000000000000
χ3822-22-22-2-222-22i2i−2i−2i-222-22-2-22-22i−2i000000002-22i2i−2i−2i-220000000000002i−2i0000000000000000-22-220000−2i2i−2i2i000000000000
χ3922-22-22-2-222-2−2i−2i2i2i-222-22-2-22-2−2i2i000000002-2−2i−2i2i2i-22000000000000−2i2i00000000000000002-22-20000−2i2i−2i2i000000000000
χ4022-22-22-2-222-2−2i−2i2i2i-222-22-2-22-2−2i2i000000002-2−2i−2i2i2i-22000000000000−2i2i0000000000000000-22-2200002i−2i2i−2i000000000000
χ4122-22-22-2-22-222i2i−2i−2i2-22-22-2-22-2−2i2i2-22-22i−2i2i−2i-222i2i−2i−2i2-2000000000000−2i2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ4222-22-22-2-22-222i2i−2i−2i2-22-22-2-22-2−2i2i-22-22−2i2i−2i2i-222i2i−2i−2i2-2000000000000−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ4322-22-22-2-22-22−2i−2i2i2i2-22-22-2-22-22i−2i2-22-2−2i2i−2i2i-22−2i−2i2i2i2-20000000000002i−2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ4422-22-22-2-22-22−2i−2i2i2i2-22-22-2-22-22i−2i-22-222i−2i2i−2i-22−2i−2i2i2i2-20000000000002i−2i-22-222i−2i2i−2i00000000000000000000000000000000
χ4522-22-22-2-2-1-222i2i−2i−2i2-2-11-111-11−2i2i2-22-22i−2i2i−2i1-1−i−iii-11000000000000i−i-11-11−ii−ii−i3−i3i3i333−3−300000000000000−i3i33−3000000
χ4622-22-22-2-2-1-222i2i−2i−2i2-2-11-111-11−2i2i2-22-22i−2i2i−2i1-1−i−iii-11000000000000i−i-11-11−ii−iii3i3−i3−i3−3−33300000000000000i3−i3−33000000
χ4722-22-22-2-2-1-222i2i−2i−2i2-2-11-111-11−2i2i-22-22−2i2i−2i2i1-1−i−iii-11000000000000i−i1-11-1i−ii−i−i3−i3i3i333−3−300000000000000i3−i3−33000000
χ4822-22-22-2-2-1-222i2i−2i−2i2-2-11-111-11−2i2i-22-22−2i2i−2i2i1-1−i−iii-11000000000000i−i1-11-1i−ii−ii3i3−i3−i3−3−33300000000000000−i3i33−3000000
χ4922-22-22-2-2-1-22−2i−2i2i2i2-2-11-111-112i−2i2-22-2−2i2i−2i2i1-1ii−i−i-11000000000000−ii-11-11i−ii−i−i3−i3i3i3−3−33300000000000000−i3i3−33000000
χ5022-22-22-2-2-1-22−2i−2i2i2i2-2-11-111-112i−2i2-22-2−2i2i−2i2i1-1ii−i−i-11000000000000−ii-11-11i−ii−ii3i3−i3−i333−3−300000000000000i3−i33−3000000
χ5122-22-22-2-2-1-22−2i−2i2i2i2-2-11-111-112i−2i-22-222i−2i2i−2i1-1ii−i−i-11000000000000−ii1-11-1−ii−ii−i3−i3i3i3−3−33300000000000000i3−i33−3000000
χ5222-22-22-2-2-1-22−2i−2i2i2i2-2-11-111-112i−2i-22-222i−2i2i−2i1-1ii−i−i-11000000000000−ii1-11-1−ii−iii3i3−i3−i333−3−300000000000000−i3i3−33000000
χ5322-2-22-2-222220000-2-2-222-2-2-22002i−2i−2i2i0000220000-2-2000022-2-20000002i−2i−2i2i0000000000000000002-22i−2i−2i2i000000000000
χ5422-2-22-2-222220000-2-2-222-2-2-22002i−2i−2i2i0000220000-2-20000-2-2220000002i−2i−2i2i000000000000000000-22−2i2i2i−2i000000000000
χ5522-2-22-2-222220000-2-2-222-2-2-2200−2i2i2i−2i0000220000-2-2000022-2-2000000−2i2i2i−2i0000000000000000002-2−2i2i2i−2i000000000000
χ5622-2-22-2-222220000-2-2-222-2-2-2200−2i2i2i−2i0000220000-2-20000-2-222000000−2i2i2i−2i000000000000000000-222i−2i−2i2i000000000000
χ5722-2-22-2-222-2-2000022-222-2-2-220000002-2-22-2-2000022000022-2-200000000002-2-2200000000-222-200-220000000000000000
χ5822-2-22-2-222-2-2000022-222-2-2-220000002-2-22-2-20000220000-2-22200000000002-2-22000000002-2-22002-20000000000000000
χ5922-2-22-2-222-2-2000022-222-2-2-22000000-222-2-2-2000022000022-2-20000000000-222-2000000002-2-2200-220000000000000000
χ6022-2-22-2-222-2-2000022-222-2-2-22000000-222-2-2-20000220000-2-2220000000000-222-200000000-222-2002-20000000000000000
χ612-2-2-2-22222002-22-200-2-2-22-2220000000000002-22-2002-22-22-22-22−22−200000000002−22−22−22−20000000000000000002−22−200
χ622-2-2-2-22222002-22-200-2-2-22-2220000000000002-22-2002-22-22-22-2−22−220000000000−22−22−22−22000000000000000000−22−2200
χ632-2-2-2-22222002-22-200-2-2-22-2220000000000002-22-200-22-22-22-222−22−200000000002−22−22−22−2000000000000000000−22−2200
χ642-2-2-2-22222002-22-200-2-2-22-2220000000000002-22-200-22-22-22-22−22−220000000000−22−22−22−220000000000000000002−22−200
χ652-2-2-2-2222200-22-2200-2-2-22-222000000000000-22-22002-22-2-22-222−2−2200000000002−22−2−22−220000000000000000002−2−2200
χ662-2-2-2-2222200-22-2200-2-2-22-222000000000000-22-22002-22-2-22-22−222−20000000000−22−222−22−2000000000000000000−222−200
χ672-2-2-2-2222200-22-2200-2-2-22-222000000000000-22-2200-22-222-22-22−2−2200000000002−22−2−22−22000000000000000000−222−200
χ682-2-2-2-2222200-22-2200-2-2-22-222000000000000-22-2200-22-222-22-2−222−20000000000−22−222−22−20000000000000000002−2−2200
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
χ71444-4-4-44-4-24-400004-422-2-2-2220000004i4i−4i−4i-220000-22000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ72444-4-4-44-4-24-400004-422-2-2-222000000−4i−4i4i4i-220000-220000000000000000002i2i−2i−2i00000000000000000000000000000000
χ73444-4-4-44-4-2-440000-4422-2-2-222004i4i−4i−4i00002-200002-200000000000000−2i−2i2i2i000000000000000000000000000000000000
χ74444-4-4-44-4-2-440000-4422-2-2-22200−4i−4i4i4i00002-200002-2000000000000002i2i−2i−2i000000000000000000000000000000000000
χ7544-44-44-4-4-24-44i4i−4i−4i-44-22-222-224i−4i00000000-22−2i−2i2i2i2-2000000000000−2i2i0000000000000000000000000000000000000000
χ7644-44-44-4-4-24-4−4i−4i4i4i-44-22-222-22−4i4i00000000-222i2i−2i−2i2-20000000000002i−2i0000000000000000000000000000000000000000
χ7744-4-44-4-44-2440000-4-42-2-2222-2004i−4i−4i4i0000-2-200002200000000000000−2i2i2i−2i000000000000000000000000000000000000
χ7844-4-44-4-44-2440000-4-42-2-2222-200−4i4i4i−4i0000-2-2000022000000000000002i−2i−2i2i000000000000000000000000000000000000
χ7944-4-44-4-44-2-4-40000442-2-2222-20000004-4-44220000-2-2000000000000000000-222-200000000000000000000000000000000
χ8044-4-44-4-44-2-4-40000442-2-2222-2000000-444-4220000-2-20000000000000000002-2-2200000000000000000000000000000000
χ814-444-4-4-444000000004-4-4-44-4400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ824-444-4-4-444000000004-4-4-44-440000000000000000000000-444-40000000000000000000000000000000000000000000000
χ834-44-444-4-44004i−4i−4i4i00-44-4-444-40000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ844-44-444-4-4400−4i4i4i−4i00-44-4-444-4000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ854-44-444-4-4-2004i−4i−4i4i002-222-2-22000000000000−2i2i2i−2i000000000000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ864-44-444-4-4-2004i−4i−4i4i002-222-2-22000000000000−2i2i2i−2i000000000000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ874-44-444-4-4-200−4i4i4i−4i002-222-2-220000000000002i−2i−2i2i000000000000000000000000i6−i6−i6i66−6−66000000000000000000000000
χ884-44-444-4-4-200−4i4i4i−4i002-222-2-220000000000002i−2i−2i2i000000000000000000000000−i6i6i6−i6−666−6000000000000000000000000
χ894-4-444-44-440000000044-44-4-4-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ904-4-444-44-440000000044-44-4-4-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ914-4-4-4-4444-2004-44-400222-22-2-2000000000000-22-22000000000022−2222−220000000000−22−22−22−22000000000000000000000000
χ924-4-4-4-4444-2004-44-400222-22-2-2000000000000-22-220000000000−2222−222200000000002−22−22−22−2000000000000000000000000
χ934-4-4-4-4444-200-44-4400222-22-2-20000000000002-22-2000000000022−22−22220000000000−22−222−22−2000000000000000000000000
χ944-4-4-4-4444-200-44-4400222-22-2-20000000000002-22-20000000000−222222−2200000000002−22−2−22−22000000000000000000000000
χ958-888-8-8-88-400000000-4444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-888-88-8-400000000-4-44-4444000000000000000000000000000000000000000000000000000000000000000000000000

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