Finite Group Databasebeta

← Group #10847370

Character table — Group #10847370

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222344444444666666644888888881212121212121212222244442244666612121212121224242424242424244444888888884412121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ911111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1111-1
χ1011111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-11
χ1111111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-11
χ1211111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-11-1-111-1-1111-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111-11
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-11-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-11111-1-11-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11-111-1-1-1-111-11
χ17222222222-2-22222-2-22222222-2-200000000-2-22222-2-22222-2-2-2-200000000-2-2000000000000-2-22200000000000000000000
χ18222222222-2-22222-2-22222222-2-200000000-2-22222-2-2-2-2-2-2222200000000-2-200000000000022-2-200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-2000000002200000000000022-2-200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-222220000000022000000000000-2-22200000000000000000000
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
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-21111-1-111111111111100000000000022-1-1-1-1000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-10000000022-2-2-1-1-1-1111111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-100000000-2-222111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-10000000022-2-2-1-1-1-11111111111-1-1-1-1000000000000-2211-1-1000000
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
χ29222-2-2-2-2220022-2-20022-2-2-22-200−i2−i2i2i2−i2−i2i2i20022-2-20022-2-2000000000000000000−i2−i2i2i2−i2−i2i2i2002-2−i2−i2i2i2−i2−i2i2i2000000000000
χ30222-2-2-2-2220022-2-20022-2-2-22-200−i2−i2i2i2−i2−i2i2i20022-2-200-2-222000000000000000000−i2−i2i2i2−i2−i2i2i200-22i2i2−i2−i2i2i2−i2−i2000000000000
χ31222-2-2-2-2220022-2-20022-2-2-22-200i2i2−i2−i2i2i2−i2−i20022-2-20022-2-2000000000000000000i2i2−i2−i2i2i2−i2−i2002-2i2i2−i2−i2i2i2−i2−i2000000000000
χ32222-2-2-2-2220022-2-20022-2-2-22-200i2i2−i2−i2i2i2−i2−i20022-2-200-2-222000000000000000000i2i2−i2−i2i2i2−i2−i200-22−i2−i2i2i2−i2−i2i2i2000000000000
χ33222-2-2-2-22200-2-2220022-2-2-22-200−i2−i2i2i2i2i2−i2−i200-2-2220022-2-2000000000000000000−i2−i2i2i2i2i2−i2−i200-22−i2−i2i2i2i2i2−i2−i2000000000000
χ34222-2-2-2-22200-2-2220022-2-2-22-200−i2−i2i2i2i2i2−i2−i200-2-22200-2-222000000000000000000−i2−i2i2i2i2i2−i2−i2002-2i2i2−i2−i2−i2−i2i2i2000000000000
χ35222-2-2-2-22200-2-2220022-2-2-22-200i2i2−i2−i2−i2−i2i2i200-2-2220022-2-2000000000000000000i2i2−i2−i2−i2−i2i2i200-22i2i2−i2−i2−i2−i2i2i2000000000000
χ36222-2-2-2-22200-2-2220022-2-2-22-200i2i2−i2−i2−i2−i2i2i200-2-22200-2-222000000000000000000i2i2−i2−i2−i2−i2i2i2002-2−i2−i2i2i2i2i2−i2−i2000000000000
χ3722-22-2-22-22002i−2i2i−2i002-2-222-2-2002−22−2−i2i2−i2i2002i−2i2i−2i0000002i2i−2i−2i000000000000002−22−2−i2i2−i2i22-200−i2i2−i2i22−22−2000000000000
χ3822-22-2-22-22002i−2i2i−2i002-2-222-2-2002−22−2−i2i2−i2i2002i−2i2i−2i000000−2i−2i2i2i000000000000002−22−2−i2i2−i2i2-2200i2−i2i2−i2−22−22000000000000
χ3922-22-2-22-22002i−2i2i−2i002-2-222-2-200−22−22i2−i2i2−i2002i−2i2i−2i0000002i2i−2i−2i00000000000000−22−22i2−i2i2−i22-200i2−i2i2−i2−22−22000000000000
χ4022-22-2-22-22002i−2i2i−2i002-2-222-2-200−22−22i2−i2i2−i2002i−2i2i−2i000000−2i−2i2i2i00000000000000−22−22i2−i2i2−i2-2200−i2i2−i2i22−22−2000000000000
χ4122-22-2-22-2200−2i2i−2i2i002-2-222-2-2002−22−2i2−i2i2−i200−2i2i−2i2i0000002i2i−2i−2i000000000000002−22−2i2−i2i2−i2-2200−i2i2−i2i2−22−22000000000000
χ4222-22-2-22-2200−2i2i−2i2i002-2-222-2-2002−22−2i2−i2i2−i200−2i2i−2i2i000000−2i−2i2i2i000000000000002−22−2i2−i2i2−i22-200i2−i2i2−i22−22−2000000000000
χ4322-22-2-22-2200−2i2i−2i2i002-2-222-2-200−22−22−i2i2−i2i200−2i2i−2i2i0000002i2i−2i−2i00000000000000−22−22−i2i2−i2i2-2200i2−i2i2−i22−22−2000000000000
χ4422-22-2-22-2200−2i2i−2i2i002-2-222-2-200−22−22−i2i2−i2i200−2i2i−2i2i000000−2i−2i2i2i00000000000000−22−22−i2i2−i2i22-200−i2i2−i2i2−22−22000000000000
χ4522-2-222-2-222-22i−2i−2i2i2-22-22-2-2-222i−2i000000002-22i−2i−2i2i2-200000000000000002i−2i00000000000000002-2-222i−2i−2i2i000000000000
χ4622-2-222-2-222-22i−2i−2i2i2-22-22-2-2-222i−2i000000002-22i−2i−2i2i2-200000000000000002i−2i0000000000000000-222-2−2i2i2i−2i000000000000
χ4722-2-222-2-222-2−2i2i2i−2i2-22-22-2-2-22−2i2i000000002-2−2i2i2i−2i2-20000000000000000−2i2i00000000000000002-2-22−2i2i2i−2i000000000000
χ4822-2-222-2-222-2−2i2i2i−2i2-22-22-2-2-22−2i2i000000002-2−2i2i2i−2i2-20000000000000000−2i2i0000000000000000-222-22i−2i−2i2i000000000000
χ4922-2-222-2-22-222i−2i−2i2i-222-22-2-2-22−2i2i2i−2i−2i2i2-2-22-222i−2i−2i2i-220000000000000000−2i2i00002i−2i−2i2i2-2-22000000000000000000000000
χ5022-2-222-2-22-222i−2i−2i2i-222-22-2-2-22−2i2i−2i2i2i−2i-222-2-222i−2i−2i2i-220000000000000000−2i2i0000−2i2i2i−2i-222-2000000000000000000000000
χ5122-2-222-2-22-22−2i2i2i−2i-222-22-2-2-222i−2i2i−2i−2i2i-222-2-22−2i2i2i−2i-2200000000000000002i−2i00002i−2i−2i2i-222-2000000000000000000000000
χ5222-2-222-2-22-22−2i2i2i−2i-222-22-2-2-222i−2i−2i2i2i−2i2-2-22-22−2i2i2i−2i-2200000000000000002i−2i0000−2i2i2i−2i2-2-22000000000000000000000000
χ5322-2-222-2-2-1-222i−2i−2i2i-22-11-1111-1−2i2i2i−2i−2i2i2-2-221-1−iii−i1-1000000000000−i3−i3i3i3i−i33−3−3−iii−i-111-1000000000000003−3−i3i3000000
χ5422-2-222-2-2-1-222i−2i−2i2i-22-11-1111-1−2i2i2i−2i−2i2i2-2-221-1−iii−i1-1000000000000i3i3−i3−i3i−i−3−333−iii−i-111-100000000000000−33i3−i3000000
χ5522-2-222-2-2-1-222i−2i−2i2i-22-11-1111-1−2i2i−2i2i2i−2i-222-21-1−iii−i1-1000000000000−i3−i3i3i3i−i33−3−3i−i−ii1-1-1100000000000000−33i3−i3000000
χ5622-2-222-2-2-1-222i−2i−2i2i-22-11-1111-1−2i2i−2i2i2i−2i-222-21-1−iii−i1-1000000000000i3i3−i3−i3i−i−3−333i−i−ii1-1-11000000000000003−3−i3i3000000
χ5722-2-222-2-2-1-22−2i2i2i−2i-22-11-1111-12i−2i2i−2i−2i2i-222-21-1i−i−ii1-1000000000000−i3−i3i3i3−ii−3−333−iii−i1-1-11000000000000003−3i3−i3000000
χ5822-2-222-2-2-1-22−2i2i2i−2i-22-11-1111-12i−2i2i−2i−2i2i-222-21-1i−i−ii1-1000000000000i3i3−i3−i3−ii33−3−3−iii−i1-1-1100000000000000−33−i3i3000000
χ5922-2-222-2-2-1-22−2i2i2i−2i-22-11-1111-12i−2i−2i2i2i−2i2-2-221-1i−i−ii1-1000000000000−i3−i3i3i3−ii−3−333i−i−ii-111-100000000000000−33−i3i3000000
χ6022-2-222-2-2-1-22−2i2i2i−2i-22-11-1111-12i−2i−2i2i2i−2i2-2-221-1i−i−ii1-1000000000000i3i3−i3−i3−ii33−3−3i−i−ii-111-1000000000000003−3i3−i3000000
χ612-2-2-22-22222-20000-22-2-2-22-22200000000002-20000-222-22-22-22-22-2002-22-200000000000000000000000000000000002-200
χ622-2-2-22-22222-20000-22-2-2-22-22200000000002-20000-222-22-22-22-2-2200-22-220000000000000000000000000000000000-2200
χ632-2-2-22-22222-20000-22-2-2-22-22200000000002-20000-22-22-22-22-222-2002-22-20000000000000000000000000000000000-2200
χ642-2-2-22-22222-20000-22-2-2-22-22200000000002-20000-22-22-22-22-22-2200-22-2200000000000000000000000000000000002-200
χ652-2-2-22-2222-2200002-2-2-2-22-2220000000000-2200002-22-22-2-22-22002-20000002-22-2000000000000000000000000002-20000
χ662-2-2-22-2222-2200002-2-2-2-22-2220000000000-2200002-22-22-2-22-2200-22000000-22-2200000000000000000000000000-220000
χ672-2-2-22-2222-2200002-2-2-2-22-2220000000000-2200002-2-22-222-22-2002-20000002-22-200000000000000000000000000-220000
χ682-2-2-22-2222-2200002-2-2-2-22-2220000000000-2200002-2-22-222-22-200-22000000-22-22000000000000000000000000002-20000
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-40000000022-2-2-2-222000000000000000022000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24400000000222222220000000000000000-2-2000000000000000000000000000000000000
χ71444-4-4-4-44-20044-4-400-2-2222-2200−2i2−2i22i22i2−2i2−2i22i22i200-2-222000000000000000000000000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ72444-4-4-4-44-20044-4-400-2-2222-22002i22i2−2i2−2i22i22i2−2i2−2i200-2-222000000000000000000000000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ73444-4-4-4-44-200-4-44400-2-2222-2200−2i2−2i22i22i22i22i2−2i2−2i20022-2-2000000000000000000000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ74444-4-4-4-44-200-4-44400-2-2222-22002i22i2−2i2−2i2−2i2−2i22i22i20022-2-2000000000000000000000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ7544-44-4-44-4-2004i−4i4i−4i00-222-2-2220022−2222−22−2i22i2−2i22i200−2i2i−2i2i000000000000000000000000−22−22i2−i2i2−i2000000000000000000000000
χ7644-44-4-44-4-2004i−4i4i−4i00-222-2-22200−2222−22222i2−2i22i2−2i200−2i2i−2i2i0000000000000000000000002−22−2−i2i2−i2i2000000000000000000000000
χ7744-44-4-44-4-200−4i4i−4i4i00-222-2-2220022−2222−222i2−2i22i2−2i2002i−2i2i−2i000000000000000000000000−22−22−i2i2−i2i2000000000000000000000000
χ7844-44-4-44-4-200−4i4i−4i4i00-222-2-22200−2222−2222−2i22i2−2i22i2002i−2i2i−2i0000000000000000000000002−22−2i2−i2i2−i2000000000000000000000000
χ7944-4-444-4-4-24-44i−4i−4i4i4-4-22-2222-24i−4i00000000-22−2i2i2i−2i-220000000000000000−2i2i000000000000000000000000000000000000
χ8044-4-444-4-4-24-4−4i4i4i−4i4-4-22-2222-2−4i4i00000000-222i−2i−2i2i-2200000000000000002i−2i000000000000000000000000000000000000
χ814-4444-4-4-44440000-4-4-44-4-44-440000000000440000-4-4000000000000000000000000000000000000000000000000000000
χ824-4444-4-4-44-4-4000044-44-4-44-440000000000-4-4000044000000000000000000000000000000000000000000000000000000
χ834-4444-4-4-4-2440000-4-42-222-22-20000000000-2-200002200000000000000000023−23−232300000000000000000000000000000000
χ844-4444-4-4-4-2440000-4-42-222-22-20000000000-2-2000022000000000000000000−232323−2300000000000000000000000000000000
χ854-4444-4-4-4-2-4-40000442-222-22-20000000000220000-2-2000000000000−2i32i32i3−2i300000000000000000000000000000000000000
χ864-4444-4-4-4-2-4-40000442-222-22-20000000000220000-2-20000000000002i3−2i3−2i32i300000000000000000000000000000000000000
χ874-44-4-444-4400000000-4444-4-4-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ884-44-4-444-4400000000-4444-4-4-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ894-4-44-44-44400000000-4-44-444-40000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ904-4-44-44-44400000000-4-44-444-4000000000000000000-444-400000000000000000000000000000000000000000000000000
χ914-4-4-44-444-24-40000-44222-22-2-20000000000-2200002-2000000004-400-22-2200000000000000000000000000000000000000
χ924-4-4-44-444-24-40000-44222-22-2-20000000000-2200002-200000000-44002-22-200000000000000000000000000000000000000
χ934-4-4-44-444-2-4400004-4222-22-2-200000000002-20000-2200000000004-4000000-22-2200000000000000000000000000000000
χ944-4-4-44-444-2-4400004-4222-22-2-200000000002-20000-220000000000-440000002-22-200000000000000000000000000000000
χ958-88-8-888-8-4000000004-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-88-88-40000000044-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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