Finite Group Databasebeta

← Group #10697962

Character table — Group #10697962

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order12222222344444444444466666668888888812121212121212121212121224242424242424242424242424242424888888888888888822446666121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ922222222222-2-2-2-2-2-222-2-22222222000000002222-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-20000000000000000
χ1022222222222-2-2-2-2-2-222-2-22222222000000002222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-222220000000000000000
χ11222222222-2-222-2-2-2-2-2-222222222200000000-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ12222222222-2-222-2-2-2-2-2-222222222200000000-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ13222222222-2-2-2-22222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ14222222222-2-2-2-22222-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ1522222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ1622222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ1722222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ1822222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ1922222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ2022222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ2122222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ2222222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ23222-22-2-2-22002-20000002-222-22-2-2-2−i2−i2i2i2−i2−i2i2i2000022-2-20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000022-2-2−i2−i2i2i2−i2−i2i2i20000000000000000
χ24222-22-2-2-22002-20000002-222-22-2-2-2−i2−i2i2i2−i2−i2i2i2000022-2-20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000-2-222i2i2−i2−i2i2i2−i2−i20000000000000000
χ25222-22-2-2-22002-20000002-222-22-2-2-2i2i2−i2−i2i2i2−i2−i2000022-2-20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000022-2-2i2i2−i2−i2i2i2−i2−i20000000000000000
χ26222-22-2-2-22002-20000002-222-22-2-2-2i2i2−i2−i2i2i2−i2−i2000022-2-20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-2-222−i2−i2i2i2−i2−i2i2i20000000000000000
χ27222-22-2-2-2200-22000000-2222-22-2-2-2−i2−i2i2i2i2i2−i2−i20000-2-2220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i222-2-20000−i2−i2i2i2i2i2−i2−i20000000000000000
χ28222-22-2-2-2200-22000000-2222-22-2-2-2−i2−i2i2i2i2i2−i2−i20000-2-2220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-2-2220000i2i2−i2−i2−i2−i2i2i20000000000000000
χ29222-22-2-2-2200-22000000-2222-22-2-2-2i2i2−i2−i2−i2−i2i2i20000-2-2220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i222-2-20000i2i2−i2−i2−i2−i2i2i20000000000000000
χ30222-22-2-2-2200-22000000-2222-22-2-2-2i2i2−i2−i2−i2−i2i2i20000-2-2220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-2-2220000−i2−i2i2i2i2i2−i2−i20000000000000000
χ3122-22-22-2-222-20000002-2002-22-22-2-2−i2i2−i2i2−i2i2−i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22−22−22−22−200002i−2i2i−2i0000000000000000
χ3222-22-22-2-222-20000002-2002-22-22-2-2−i2i2−i2i2−i2i2−i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−22−22−22−220000−2i2i−2i2i0000000000000000
χ3322-22-22-2-222-20000002-2002-22-22-2-2i2−i2i2−i2i2−i2i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22−22−22−22−20000−2i2i−2i2i0000000000000000
χ3422-22-22-2-222-20000002-2002-22-22-2-2i2−i2i2−i2i2−i2i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−22−22−22−2200002i−2i2i−2i0000000000000000
χ3522-22-22-2-22-22000000-22002-22-22-2-2−i2i2−i2i2i2−i2i2−i2-2-22200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22−22−2−22−222i−2i2i−2i00000000000000000000
χ3622-22-22-2-22-22000000-22002-22-22-2-2−i2i2−i2i2i2−i2i2−i2-2-22200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−22−222−22−2−2i2i−2i2i00000000000000000000
χ3722-22-22-2-22-22000000-22002-22-22-2-2i2−i2i2−i2−i2i2−i2i2-2-22200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22−22−2−22−22−2i2i−2i2i00000000000000000000
χ3822-22-22-2-22-22000000-22002-22-22-2-2i2−i2i2−i2−i2i2−i2i2-2-22200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−22−222−22−22i−2i2i−2i00000000000000000000
χ3922-2-2-2-222200002-22-200002-2-2-2-22200002-2-22000000002-22-20000000022-2-2-2-2222−2−222−2−22−222−2−222−20000000000000000
χ4022-2-2-2-222200002-22-200002-2-2-2-22200002-2-22000000002-22-20000000022-2-2-2-222−222−2−222−22−2−222−2−220000000000000000
χ4122-2-2-2-222200002-22-200002-2-2-2-2220000-222-2000000002-22-200000000-2-22222-2-22−2−222−2−222−2−222−2−220000000000000000
χ4222-2-2-2-222200002-22-200002-2-2-2-2220000-222-2000000002-22-200000000-2-22222-2-2−222−2−222−2−222−2−222−20000000000000000
χ4322-2-2-2-22220000-22-2200002-2-2-2-2222-2-22000000000000-22-2222-2-2-2-222000000002−2−22−222−2−222−22−2−220000000000000000
χ4422-2-2-2-22220000-22-2200002-2-2-2-2222-2-22000000000000-22-2222-2-2-2-22200000000−222−22−2−222−2−22−222−20000000000000000
χ4522-2-2-2-22220000-22-2200002-2-2-2-222-222-2000000000000-22-22-2-22222-2-2000000002−2−22−222−22−2−22−222−20000000000000000
χ4622-2-2-2-22220000-22-2200002-2-2-2-222-222-2000000000000-22-22-2-22222-2-200000000−222−22−2−22−222−22−2−220000000000000000
χ472-2-2-222-222222222-2-2-2-2-2-2-2-2-2222-2000000002-22-22-22-222-2-200000000000000000000000000000000002i−2i00002i−2i2i−2i0000
χ482-2-2-222-222222222-2-2-2-2-2-2-2-2-2222-2000000002-22-22-22-222-2-20000000000000000000000000000000000−2i2i0000−2i2i−2i2i0000
χ492-2-2-222-22222-2-2-2-222-2-222-2-2-2222-2000000002-22-2-22-22-2-222000000000000000000000000000000000000000000002-200
χ502-2-2-222-22222-2-2-2-222-2-222-2-2-2222-2000000002-22-2-22-22-2-22200000000000000000000000000000000000000000000-2200
χ512-2-2-222-222-2-222-2-22222-2-2-2-2-2222-200000000-22-222-22-2-2-22200000000000000000000000000000000000000000000002-2
χ522-2-2-222-222-2-222-2-22222-2-2-2-2-2222-200000000-22-222-22-2-2-2220000000000000000000000000000000000000000000000-22
χ532-2-2-222-222-2-2-2-222-2-22222-2-2-2222-200000000-22-22-22-2222-2-2000000000000000000000000000000002-2002-22-200000000
χ542-2-2-222-222-2-2-2-222-2-22222-2-2-2222-200000000-22-22-22-2222-2-200000000000000000000000000000000-2200-22-2200000000
χ552-2-2-222-22-1222222-2-2-2-2-2-2111-1-1-1100000000-11-11-11-11-1-1113−33−33−33−33−33−33−33−30000000000000000002i−2i−i3i3i3−i3−ii−ii0000
χ562-2-2-222-22-1222222-2-2-2-2-2-2111-1-1-1100000000-11-11-11-11-1-1113−33−33−33−33−33−33−33−3000000000000000000−2i2ii3−i3−i3i3i−ii−i0000
χ572-2-2-222-22-1222222-2-2-2-2-2-2111-1-1-1100000000-11-11-11-11-1-111−33−33−33−33−33−33−33−330000000000000000002i−2ii3−i3−i3i3−ii−ii0000
χ582-2-2-222-22-1222222-2-2-2-2-2-2111-1-1-1100000000-11-11-11-11-1-111−33−33−33−33−33−33−33−33000000000000000000−2i2i−i3i3i3−i3i−ii−i0000
χ592-2-2-222-22-1-2-2-2-222-2-22222111-1-1-11000000001-11-11-11-1-1-1113−33−33−33−3−33−33−33−3300000000000000002-200-11-113−3−330000
χ602-2-2-222-22-1-2-2-2-222-2-22222111-1-1-11000000001-11-11-11-1-1-1113−33−33−33−3−33−33−33−330000000000000000-22001-11-1−333−30000
χ612-2-2-222-22-1-2-2-2-222-2-22222111-1-1-11000000001-11-11-11-1-1-111−33−33−33−333−33−33−33−300000000000000002-200-11-11−333−30000
χ622-2-2-222-22-1-2-2-2-222-2-22222111-1-1-11000000001-11-11-11-1-1-111−33−33−33−333−33−33−33−30000000000000000-22001-11-13−3−330000
χ6344444444-244-4-4-4-4-4-444-4-4-2-2-2-2-2-2-200000000-2-2-2-222222222000000000000000000000000000000000000000000000000
χ6444444444-2-4-444-4-4-4-4-4-444-2-2-2-2-2-2-2000000002222-2-2-2-22222000000000000000000000000000000000000000000000000
χ65444-44-4-4-4-2004-40000004-4-2-22-2222−2i2−2i22i22i2−2i2−2i22i22i20000-2-2220000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000
χ66444-44-4-4-4-2004-40000004-4-2-22-22222i22i2−2i2−2i22i22i2−2i2−2i20000-2-2220000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000
χ67444-44-4-4-4-200-44000000-44-2-22-2222−2i2−2i22i22i22i22i2−2i2−2i2000022-2-20000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000
χ68444-44-4-4-4-200-44000000-44-2-22-22222i22i2−2i2−2i2−2i2−2i22i22i2000022-2-20000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000
χ6944-44-44-4-4-24-40000004-400-22-22-222−2i22i2−2i22i2−2i22i2−2i22i2-2-22200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ7044-44-44-4-4-24-40000004-400-22-22-2222i2−2i22i2−2i22i2−2i22i2−2i2-2-22200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7144-44-44-4-4-2-44000000-4400-22-22-222−2i22i2−2i22i22i2−2i22i2−2i222-2-200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7244-44-44-4-4-2-44000000-4400-22-22-2222i2−2i22i2−2i2−2i22i2−2i22i222-2-200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ7344-4-4-4-444-200004-44-40000-22222-2-200004-4-4400000000-22-2200000000-2-22222-2-200000000000000000000000000000000
χ7444-4-4-4-444-200004-44-40000-22222-2-20000-444-400000000-22-220000000022-2-2-2-22200000000000000000000000000000000
χ7544-4-4-4-444-20000-44-440000-22222-2-24-4-440000000000002-22-2-2-22222-2-20000000000000000000000000000000000000000
χ7644-4-4-4-444-20000-44-440000-22222-2-2-444-40000000000002-22-222-2-2-2-2220000000000000000000000000000000000000000
χ774-444-4-4-44400004-4-440000-444-4-44-400000000000000004-4-44000000000000000000000000000000000000000000000000
χ784-444-4-4-4440000-444-40000-444-4-44-40000000000000000-444-4000000000000000000000000000000000000000000000000
χ794-444-4-4-44-200004-4-4400002-2-222-220000000000000000-222-20000000023−23−2323−232323−2300000000000000000000000000000000
χ804-444-4-4-44-200004-4-4400002-2-222-220000000000000000-222-200000000−232323−2323−23−232300000000000000000000000000000000
χ814-444-4-4-44-20000-444-400002-2-222-2200000000000000002-2-2223−23−2323−232323−230000000000000000000000000000000000000000
χ824-444-4-4-44-20000-444-400002-2-222-2200000000000000002-2-22−232323−2323−23−23230000000000000000000000000000000000000000
χ834-44-4-444-444-4000000-4400-44-4-44-44000000004-4-4400000000000000000000000000000000000000000000000000000000
χ844-44-4-444-44-440000004-400-44-4-44-4400000000-444-400000000000000000000000000000000000000000000000000000000
χ854-44-4-444-4-24-4000000-44002-222-22-200000000-222-200000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ864-44-4-444-4-24-4000000-44002-222-22-200000000-222-200000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ874-44-4-444-4-2-440000004-4002-222-22-2000000002-2-2200000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ884-44-4-444-4-2-440000004-4002-222-22-2000000002-2-2200000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ894-4-444-44-44004-4000000-44-4-444-4-440000000000004-4-440000000000000000000000000000000000000000000000000000
χ904-4-444-44-4400-440000004-4-4-444-4-44000000000000-444-40000000000000000000000000000000000000000000000000000
χ914-4-444-44-4-2004-4000000-4422-2-222-2000000000000-222-20000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000
χ924-4-444-44-4-2004-4000000-4422-2-222-2000000000000-222-20000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000
χ934-4-444-44-4-200-440000004-422-2-222-20000000000002-2-220000i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000
χ944-4-444-44-4-200-440000004-422-2-222-20000000000002-2-220000−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000
χ954-4-4-444-44-244-4-4-4-444-4-444222-2-2-2200000000-22-222-22-222-2-2000000000000000000000000000000000000000000000000
χ964-4-4-444-44-2-4-444-4-44444-4-4222-2-2-22000000002-22-2-22-2222-2-2000000000000000000000000000000000000000000000000

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