Finite Group Databasebeta

← Group #10847408

Character table — Group #10847408

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222222234444444444446666666444444666612121212121212121212121212121212121212121212121288888888888888884444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-11111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-11111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111
χ1722222222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ19222222222222-1222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ20222222222222-1222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ21222222222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ22222222222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ23222222222222-1-2-2-2-222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-1111100000000
χ24222222222222-1-2-2-2-222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-100000000
χ25222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ26222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ2722222222-2-2-2-222222-2-22222-2-22222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-22222-2-222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2922222222-2-2-2-2-1222222-2-2-2-222-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000002-22-2-1-111-1-11100000000
χ3022222222-2-2-2-2-1222222-2-2-2-222-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000-22-2211-1-111-1-100000000
χ3122222222-2-2-2-2-12222-2-22222-2-2-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ3222222222-2-2-2-2-12222-2-22222-2-2-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ3322222222-2-2-2-2-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-122-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ3422222222-2-2-2-2-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-122-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-211-1-1-1-11100000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-12222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-12222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ372222-2-2-2-222-2-2222-2-200000000222-2-2-2-22-2000022-2-222-2-222-2-2000000000000000022−2−222−2−222−2−222−2−200000000000000000000
χ382222-2-2-2-222-2-2222-2-200000000222-2-2-2-22-2000022-2-222-2-222-2-20000000000000000−2−222−2−222−2−222−2−22200000000000000000000
χ392222-2-2-2-222-2-22-2-22200000000222-2-2-2-2-22000022-2-2-2-222-2-222000000000000000022−2−222−2−2−2−222−2−22200000000000000000000
χ402222-2-2-2-222-2-22-2-22200000000222-2-2-2-2-22000022-2-2-2-222-2-2220000000000000000−2−222−2−22222−2−222−2−200000000000000000000
χ412222-2-2-2-2-2-222222-2-200000000222-2-2-2-2-220000-2-22222-2-2-2-222000000000000000022−2−2−2−22222−2−2−2−22200000000000000000000
χ422222-2-2-2-2-2-222222-2-200000000222-2-2-2-2-220000-2-22222-2-2-2-2220000000000000000−2−22222−2−2−2−22222−2−200000000000000000000
χ432222-2-2-2-2-2-2222-2-22200000000222-2-2-2-22-20000-2-222-2-22222-2-2000000000000000022−2−2−2−222−2−22222−2−200000000000000000000
χ442222-2-2-2-2-2-2222-2-22200000000222-2-2-2-22-20000-2-222-2-22222-2-20000000000000000−2−22222−2−222−2−2−2−22200000000000000000000
χ4522-2-22-22-2000022i−2i2i−2i002i2i−2i−2i002-2-22-22-200002-200002i−2i2i−2i000000002i2i−2i−2i000022-2-22−22−2−i2i2−i2i2−i2i2−i2i22−22−200000000000000000000
χ4622-2-22-22-2000022i−2i2i−2i002i2i−2i−2i002-2-22-22-200002-200002i−2i2i−2i000000002i2i−2i−2i000022-2-2−22−22i2−i2i2−i2i2−i2i2−i2−22−2200000000000000000000
χ4722-2-22-22-2000022i−2i2i−2i00−2i−2i2i2i002-2-22-22-20000-2200002i−2i2i−2i00000000−2i−2i2i2i0000-2-2222−22−2i2−i2i2−i2−i2i2−i2i2−22−2200000000000000000000
χ4822-2-22-22-2000022i−2i2i−2i00−2i−2i2i2i002-2-22-22-20000-2200002i−2i2i−2i00000000−2i−2i2i2i0000-2-222−22−22−i2i2−i2i2i2−i2i2−i22−22−200000000000000000000
χ4922-2-22-22-200002−2i2i−2i2i002i2i−2i−2i002-2-22-22-20000-220000−2i2i−2i2i000000002i2i−2i−2i0000-2-2222−22−2−i2i2−i2i2i2−i2i2−i2−22−2200000000000000000000
χ5022-2-22-22-200002−2i2i−2i2i002i2i−2i−2i002-2-22-22-20000-220000−2i2i−2i2i000000002i2i−2i−2i0000-2-222−22−22i2−i2i2−i2−i2i2−i2i22−22−200000000000000000000
χ5122-2-22-22-200002−2i2i−2i2i00−2i−2i2i2i002-2-22-22-200002-20000−2i2i−2i2i00000000−2i−2i2i2i000022-2-22−22−2i2−i2i2−i2i2−i2i2−i22−22−200000000000000000000
χ5222-2-22-22-200002−2i2i−2i2i00−2i−2i2i2i002-2-22-22-200002-20000−2i2i−2i2i00000000−2i−2i2i2i000022-2-2−22−22−i2i2−i2i2−i2i2−i2i2−22−2200000000000000000000
χ5322-2-2-22-22000022i−2i−2i2i2-200002-22-2-2-22-22002i−2i0000002i−2i−2i2i000022-2-200002i2i−2i−2i000000002i−2i−2i2i0000-222-200000000000000000000
χ5422-2-2-22-22000022i−2i−2i2i2-200002-22-2-2-22-22002i−2i0000002i−2i−2i2i000022-2-200002i2i−2i−2i00000000−2i2i2i−2i00002-2-2200000000000000000000
χ5522-2-2-22-22000022i−2i−2i2i-220000-222-2-2-22-2200−2i2i0000002i−2i−2i2i0000-2-2220000−2i−2i2i2i00002-2-220000−2i2i2i−2i000000000000000000000000
χ5622-2-2-22-22000022i−2i−2i2i-220000-222-2-2-22-2200−2i2i0000002i−2i−2i2i0000-2-2220000−2i−2i2i2i0000-222-200002i−2i−2i2i000000000000000000000000
χ5722-2-2-22-2200002−2i2i2i−2i2-200002-22-2-2-22-2200−2i2i000000−2i2i2i−2i000022-2-20000−2i−2i2i2i000000002i−2i−2i2i00002-2-2200000000000000000000
χ5822-2-2-22-2200002−2i2i2i−2i2-200002-22-2-2-22-2200−2i2i000000−2i2i2i−2i000022-2-20000−2i−2i2i2i00000000−2i2i2i−2i0000-222-200000000000000000000
χ5922-2-2-22-2200002−2i2i2i−2i-220000-222-2-2-22-22002i−2i000000−2i2i2i−2i0000-2-22200002i2i−2i−2i00002-2-2200002i−2i−2i2i000000000000000000000000
χ6022-2-2-22-2200002−2i2i2i−2i-220000-222-2-2-22-22002i−2i000000−2i2i2i−2i0000-2-22200002i2i−2i−2i0000-222-20000−2i2i2i−2i000000000000000000000000
χ612-2-22-2-2222-22-2200002-22-22-2-22-2-22-2-2220000002-22-2000000002-22-22-22-200000000000000000000000000000000000000002-22-2
χ622-2-22-2-2222-22-2200002-22-22-2-22-2-22-2-2220000002-22-2000000002-22-22-22-20000000000000000000000000000000000000000-22-22
χ632-2-22-2-2222-22-220000-22-22-222-2-2-22-2-2220000002-22-200000000-22-22-22-220000000000000000000000000000000000002-22-20000
χ642-2-22-2-2222-22-220000-22-22-222-2-2-22-2-2220000002-22-200000000-22-22-22-22000000000000000000000000000000000000-22-220000
χ652-2-22-2-222-22-22200002-2-22-22-22-2-22-2-222000000-22-22000000002-22-2-22-2200000000000000000000000000000000000000002-2-22
χ662-2-22-2-222-22-22200002-2-22-22-22-2-22-2-222000000-22-22000000002-22-2-22-220000000000000000000000000000000000000000-222-2
χ672-2-22-2-222-22-2220000-222-22-22-2-2-22-2-222000000-22-2200000000-22-222-22-20000000000000000000000000000000000002-2-220000
χ682-2-22-2-222-22-2220000-222-22-22-2-2-22-2-222000000-22-2200000000-22-222-22-2000000000000000000000000000000000000-222-20000
χ694444-4-4-4-444-4-4-244-4-400000000-2-2-222224-40000-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000
χ704444-4-4-4-444-4-4-2-4-44400000000-2-2-22222-440000-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-4-444-244-4-400000000-2-2-22222-44000022-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ724444-4-4-4-4-4-444-2-4-44400000000-2-2-222224-4000022-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ7344-4-44-44-40000-24i−4i4i−4i004i4i−4i−4i00-222-22-2200004-40000−2i2i−2i2i00000000−2i−2i2i2i0000-2-222000000000000000000000000000000000000
χ7444-4-44-44-40000-24i−4i4i−4i00−4i−4i4i4i00-222-22-220000-440000−2i2i−2i2i000000002i2i−2i−2i000022-2-2000000000000000000000000000000000000
χ7544-4-44-44-40000-2−4i4i−4i4i004i4i−4i−4i00-222-22-220000-4400002i−2i2i−2i00000000−2i−2i2i2i000022-2-2000000000000000000000000000000000000
χ7644-4-44-44-40000-2−4i4i−4i4i00−4i−4i4i4i00-222-22-2200004-400002i−2i2i−2i000000002i2i−2i−2i0000-2-222000000000000000000000000000000000000
χ7744-4-4-44-440000-24i−4i−4i4i4-400004-4-2222-22-2004i−4i000000−2i2i2i−2i0000-2-2220000−2i−2i2i2i0000000000000000000000000000000000000000
χ7844-4-4-44-440000-24i−4i−4i4i-440000-44-2222-22-200−4i4i000000−2i2i2i−2i000022-2-200002i2i−2i−2i0000000000000000000000000000000000000000
χ7944-4-4-44-440000-2−4i4i4i−4i4-400004-4-2222-22-200−4i4i0000002i−2i−2i2i0000-2-22200002i2i−2i−2i0000000000000000000000000000000000000000
χ8044-4-4-44-440000-2−4i4i4i−4i-440000-44-2222-22-2004i−4i0000002i−2i−2i2i000022-2-20000−2i−2i2i2i0000000000000000000000000000000000000000
χ814-44-44-4-44000040000440000-4-4-44-44-4-440000000000000000004-4-44000000000000000000000000000000000000000000000000
χ824-44-44-4-44000040000-4-4000044-44-44-4-44000000000000000000-444-4000000000000000000000000000000000000000000000000
χ834-44-44-4-440000-20000440000-4-42-22-222-20000000000000023−2323−23-222-20000000023−2323−23000000000000000000000000000000000000
χ844-44-44-4-440000-20000440000-4-42-22-222-200000000000000−2323−2323-222-200000000−2323−2323000000000000000000000000000000000000
χ854-44-44-4-440000-20000-4-40000442-22-222-20000000000000023−2323−232-2-2200000000−2323−2323000000000000000000000000000000000000
χ864-44-44-4-440000-20000-4-40000442-22-222-200000000000000−2323−23232-2-220000000023−2323−23000000000000000000000000000000000000
χ874-44-4-444-4000040000004i−4i−4i4i00-44-4-444-400000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ884-44-4-444-400004000000−4i4i4i−4i00-44-4-444-40000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ894-44-4-444-40000-20000004i−4i−4i4i002-222-2-220000000000000023−23−23230000−2i2i2i−2i−2i32i3−2i32i30000000000000000000000000000000000000000
χ904-44-4-444-40000-20000004i−4i−4i4i002-222-2-2200000000000000−232323−230000−2i2i2i−2i2i3−2i32i3−2i30000000000000000000000000000000000000000
χ914-44-4-444-40000-2000000−4i4i4i−4i002-222-2-220000000000000023−23−232300002i−2i−2i2i2i3−2i32i3−2i30000000000000000000000000000000000000000
χ924-44-4-444-40000-2000000−4i4i4i−4i002-222-2-2200000000000000−232323−2300002i−2i−2i2i−2i32i3−2i32i30000000000000000000000000000000000000000
χ934-4-4444-4-44-4-444000000000000-4-4444-4-40000004-4-44000000000000000000000000000000000000000000000000000000000000
χ944-4-4444-4-44-4-44-200000000000022-2-2-222000000-222-2000000000000000023−23−232323−23−2323000000000000000000000000000000000000
χ954-4-4444-4-44-4-44-200000000000022-2-2-222000000-222-20000000000000000−232323−23−232323−23000000000000000000000000000000000000
χ964-4-4444-4-4-444-44000000000000-4-4444-4-4000000-444-4000000000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-444-4-200000000000022-2-2-2220000002-2-22000000000000000023−23−2323−232323−23000000000000000000000000000000000000
χ984-4-4444-4-4-444-4-200000000000022-2-2-2220000002-2-220000000000000000−232323−2323−23−2323000000000000000000000000000000000000
χ994-4-44-4-4444-44-4-200004-44-44-4-4422-222-2-2000000-22-2200000000-22-22-22-2200000000000000000000000000000000000000000000
χ1004-4-44-4-4444-44-4-20000-44-44-444-422-222-2-2000000-22-22000000002-22-22-22-200000000000000000000000000000000000000000000
χ1014-4-44-4-444-44-44-200004-4-44-44-4422-222-2-20000002-22-200000000-22-222-22-200000000000000000000000000000000000000000000
χ1024-4-44-4-444-44-44-20000-444-44-44-422-222-2-20000002-22-2000000002-22-2-22-2200000000000000000000000000000000000000000000

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