Finite Group Databasebeta

← Group #10945089

Character table — Group #10945089

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666222244444412121212121212124444444466668888121212121212242424242424242444444444444424661212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
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
χ7111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
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
χ911111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1-11
χ1011111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-1-1111-1
χ1111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111-1
χ1211111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-11111-1-1-11
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-111-11
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-111-11
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-11-111-1-111-1-11-1
χ17222222222-2-22222-2-222222220000-2-20000-2-22222-2-22222222200000000-2-2000000000000-2-2-2-200000000000000000000
χ18222222222-2-22222-2-222222220000-2-20000-2-22222-2-2-2-2-2-2-2-2-2-200000000-2-2000000000000222200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-22222-2-2-2-20000000022000000000000-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-2-2-2-2-22222000000002200000000000022-2-200000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-10000000011112222-1-11111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1000000001111-2-2-2-2-1-111111111111100000000000022-1-1-1-1000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-11111-1-100000000-1-1-1-122-2-2111111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-11111-1-100000000-1-1-1-1-2-2221111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-100000000111122-2-211-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-1000000001111-2-22211-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ292222-2-2-2-222-200002-2-2-2-222-2200000022-2-22-200002-22i2i−2i−2i0000000000000022-2-2000000002i−2i0000002i2i−2i−2i000000000000
χ302222-2-2-2-222-200002-2-2-2-222-2200000022-2-22-200002-2−2i−2i2i2i0000000000000022-2-200000000−2i2i000000−2i−2i2i2i000000000000
χ312222-2-2-2-222-200002-2-2-2-222-22000000-2-2222-200002-22i2i−2i−2i00000000000000-2-222000000002i−2i000000−2i−2i2i2i000000000000
χ322222-2-2-2-222-200002-2-2-2-222-22000000-2-2222-200002-2−2i−2i2i2i00000000000000-2-22200000000−2i2i0000002i2i−2i−2i000000000000
χ332222-2-2-2-22-220000-22-2-2-222-2222-2-2000000-220000-222i2i−2i−2i000022-2-2000000000000000000−2i2i002i2i−2i−2i0000000000000000
χ342222-2-2-2-22-220000-22-2-2-222-2222-2-2000000-220000-22−2i−2i2i2i000022-2-20000000000000000002i−2i00−2i−2i2i2i0000000000000000
χ352222-2-2-2-22-220000-22-2-2-222-22-2-222000000-220000-222i2i−2i−2i0000-2-222000000000000000000−2i2i00−2i−2i2i2i0000000000000000
χ362222-2-2-2-22-220000-22-2-2-222-22-2-222000000-220000-22−2i−2i2i2i0000-2-2220000000000000000002i−2i002i2i−2i−2i0000000000000000
χ3722-2-22-22-222-22i2i−2i−2i-2222-22-2-2-22-22-22i−2i2i−2i2i−2i2-22i2i−2i−2i-22000000002-22-200002i−2i2i−2i2i−2i00000000000000000000000000000000
χ3822-2-22-22-222-22i2i−2i−2i-2222-22-2-2-2-22-222i−2i−2i2i−2i2i2-22i2i−2i−2i-2200000000-22-2200002i−2i−2i2i−2i2i00000000000000000000000000000000
χ3922-2-22-22-222-2−2i−2i2i2i-2222-22-2-2-22-22-2−2i2i−2i2i−2i2i2-2−2i−2i2i2i-22000000002-22-20000−2i2i−2i2i−2i2i00000000000000000000000000000000
χ4022-2-22-22-222-2−2i−2i2i2i-2222-22-2-2-2-22-22−2i2i2i−2i2i−2i2-2−2i−2i2i2i-2200000000-22-220000−2i2i2i−2i2i−2i00000000000000000000000000000000
χ4122-2-22-22-22-222i2i−2i−2i2-222-22-2-2-20000−2i2i0000-222i2i−2i−2i2-20000000000000000−2i2i00000000000000002-22-22i−2i2i−2i000000000000
χ4222-2-22-22-22-222i2i−2i−2i2-222-22-2-2-20000−2i2i0000-222i2i−2i−2i2-20000000000000000−2i2i0000000000000000-22-22−2i2i−2i2i000000000000
χ4322-2-22-22-22-22−2i−2i2i2i2-222-22-2-2-200002i−2i0000-22−2i−2i2i2i2-200000000000000002i−2i00000000000000002-22-2−2i2i−2i2i000000000000
χ4422-2-22-22-22-22−2i−2i2i2i2-222-22-2-2-200002i−2i0000-22−2i−2i2i2i2-200000000000000002i−2i0000000000000000-22-222i−2i2i−2i000000000000
χ4522-2-22-22-2-12-22i2i−2i−2i-22-1-11-11112-22-22i−2i2i−2i2i−2i-11−i−iii1-100000000-11-110000−ii−ii−ii−i3−i3i3i333−3−300000000000000−i3i33−3000000
χ4622-2-22-22-2-12-22i2i−2i−2i-22-1-11-11112-22-22i−2i2i−2i2i−2i-11−i−iii1-100000000-11-110000−ii−ii−iii3i3−i3−i3−3−33300000000000000i3−i3−33000000
χ4722-2-22-22-2-12-22i2i−2i−2i-22-1-11-1111-22-222i−2i−2i2i−2i2i-11−i−iii1-1000000001-11-10000−iii−ii−i−i3−i3i3i333−3−300000000000000i3−i3−33000000
χ4822-2-22-22-2-12-22i2i−2i−2i-22-1-11-1111-22-222i−2i−2i2i−2i2i-11−i−iii1-1000000001-11-10000−iii−ii−ii3i3−i3−i3−3−33300000000000000−i3i33−3000000
χ4922-2-22-22-2-12-2−2i−2i2i2i-22-1-11-11112-22-2−2i2i−2i2i−2i2i-11ii−i−i1-100000000-11-110000i−ii−ii−i−i3−i3i3i3−3−33300000000000000−i3i3−33000000
χ5022-2-22-22-2-12-2−2i−2i2i2i-22-1-11-11112-22-2−2i2i−2i2i−2i2i-11ii−i−i1-100000000-11-110000i−ii−ii−ii3i3−i3−i333−3−300000000000000i3−i33−3000000
χ5122-2-22-22-2-12-2−2i−2i2i2i-22-1-11-1111-22-22−2i2i2i−2i2i−2i-11ii−i−i1-1000000001-11-10000i−i−ii−ii−i3−i3i3i3−3−33300000000000000i3−i33−3000000
χ5222-2-22-22-2-12-2−2i−2i2i2i-22-1-11-1111-22-22−2i2i2i−2i2i−2i-11ii−i−i1-1000000001-11-10000i−i−ii−iii3i3−i3−i333−3−300000000000000−i3i3−33000000
χ5322-2-2-22-222220000-2-2-2-222-22-20000002i−2i−2i2i220000-2-2000022-2-200000000002i−2i−2i2i00000000002-22i−2i−2i2i0000000000000000
χ5422-2-2-22-222220000-2-2-2-222-22-20000002i−2i−2i2i220000-2-20000-2-22200000000002i−2i−2i2i0000000000-22−2i2i2i−2i0000000000000000
χ5522-2-2-22-222220000-2-2-2-222-22-2000000−2i2i2i−2i220000-2-2000022-2-20000000000−2i2i2i−2i00000000002-2−2i2i2i−2i0000000000000000
χ5622-2-2-22-222220000-2-2-2-222-22-2000000−2i2i2i−2i220000-2-20000-2-2220000000000−2i2i2i−2i0000000000-222i−2i−2i2i0000000000000000
χ5722-2-2-22-222-2-2000022-2-222-22-22-2-22000000-2-2000022000022-2-22-2-2200000000000000000000-220000-222-2000000000000
χ5822-2-2-22-222-2-2000022-2-222-22-22-2-22000000-2-20000220000-2-2222-2-22000000000000000000002-200002-2-22000000000000
χ5922-2-2-22-222-2-2000022-2-222-22-2-222-2000000-2-2000022000022-2-2-222-200000000000000000000-2200002-2-22000000000000
χ6022-2-2-22-222-2-2000022-2-222-22-2-222-2000000-2-20000220000-2-222-222-2000000000000000000002-20000-222-2000000000000
χ612-2-22-2-2222002-22-2002-2-2-2-2220000000000002-22-2002-22-22-22-200002−22−20000002−22−22−22−20000000000000000002−22−200
χ622-2-22-2-2222002-22-2002-2-2-2-2220000000000002-22-2002-22-22-22-20000−22−22000000−22−22−22−22000000000000000000−22−2200
χ632-2-22-2-2222002-22-2002-2-2-2-2220000000000002-22-200-22-22-22-2200002−22−20000002−22−22−22−2000000000000000000−22−2200
χ642-2-22-2-2222002-22-2002-2-2-2-2220000000000002-22-200-22-22-22-220000−22−22000000−22−22−22−220000000000000000002−22−200
χ652-2-22-2-222200-22-22002-2-2-2-222000000000000-22-22002-22-2-22-2200002−2−220000002−22−2−22−220000000000000000002−2−2200
χ662-2-22-2-222200-22-22002-2-2-2-222000000000000-22-22002-22-2-22-220000−222−2000000−22−222−22−2000000000000000000−222−200
χ672-2-22-2-222200-22-22002-2-2-2-222000000000000-22-2200-22-222-22-200002−2−220000002−22−2−22−22000000000000000000−222−200
χ682-2-22-2-222200-22-22002-2-2-2-222000000000000-22-2200-22-222-22-20000−222−2000000−22−222−22−20000000000000000002−2−2200
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-20000-4-4000022-2-2-2-222000000000000000022000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-20000440000222222220000000000000000-2-2000000000000000000000000000000000000
χ714444-4-4-4-4-24-400004-4222-2-22-200000044-4-4-220000-22000000000000000000-2-22200000000000000000000000000000000
χ724444-4-4-4-4-24-400004-4222-2-22-2000000-4-444-220000-2200000000000000000022-2-200000000000000000000000000000000
χ734444-4-4-4-4-2-440000-44222-2-22-244-4-40000002-200002-200000000-2-222000000000000000000000000000000000000000000
χ744444-4-4-4-4-2-440000-44222-2-22-2-4-4440000002-200002-20000000022-2-2000000000000000000000000000000000000000000
χ7544-4-44-44-4-2-444i4i−4i−4i4-4-2-22-22220000−4i4i00002-2−2i−2i2i2i-2200000000000000002i−2i000000000000000000000000000000000000
χ7644-4-44-44-4-2-44−4i−4i4i4i4-4-2-22-222200004i−4i00002-22i2i−2i−2i-220000000000000000−2i2i000000000000000000000000000000000000
χ7744-4-4-44-44-2440000-4-422-2-22-220000004i−4i−4i4i-2-2000022000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ7844-4-4-44-44-2440000-4-422-2-22-22000000−4i4i4i−4i-2-20000220000000000000000002i−2i−2i2i00000000000000000000000000000000
χ7944-4-4-44-44-2-4-400004422-2-22-224-4-44000000220000-2-200000000-222-2000000000000000000000000000000000000000000
χ8044-4-4-44-44-2-4-400004422-2-22-22-444-4000000220000-2-2000000002-2-22000000000000000000000000000000000000000000
χ814-44-44-4-44400000000-44-4-444-400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ824-44-44-4-44400000000-44-4-444-40000000000000000000000-444-40000000000000000000000000000000000000000000000
χ834-44-4-444-44004i−4i−4i4i004-44-44-4-40000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ844-44-4-444-4400−4i4i4i−4i004-44-44-4-4000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ854-44-4-444-4-2004i−4i−4i4i00-22-22-222000000000000−2i2i2i−2i000000000000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ864-44-4-444-4-2004i−4i−4i4i00-22-22-222000000000000−2i2i2i−2i000000000000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ874-44-4-444-4-200−4i4i4i−4i00-22-22-2220000000000002i−2i−2i2i000000000000000000000000i6−i6−i6i66−6−66000000000000000000000000
χ884-44-4-444-4-200−4i4i4i−4i00-22-22-2220000000000002i−2i−2i2i000000000000000000000000−i6i6i6−i6−666−6000000000000000000000000
χ894-4-4444-4-4400000000-444-4-4-440000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ904-4-4444-4-4400000000-444-4-4-44000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ914-4-44-4-444-2004-44-400-22222-2-2000000000000-22-220000000000000022−2222−22000000−22−22−22−22000000000000000000000000
χ924-4-44-4-444-2004-44-400-22222-2-2000000000000-22-2200000000000000−2222−22220000002−22−22−22−2000000000000000000000000
χ934-4-44-4-444-200-44-4400-22222-2-20000000000002-22-20000000000000022−22−2222000000−22−222−22−2000000000000000000000000
χ944-4-44-4-444-200-44-4400-22222-2-20000000000002-22-200000000000000−222222−220000002−22−2−22−22000000000000000000000000
χ958-88-88-8-88-4000000004-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8888-8-8-4000000004-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000

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