Finite Group Databasebeta

← Group #10831052

Character table — Group #10831052

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444466668888888888888888881212121212121616161616161616161624242424242424244848
order1222222222344446664466666612121212888822222444666666661212888888688121212242424242222888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1111111111111-1-1
χ9111111-1-1-1-111111111-1-111-1-1-1-11111111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-1-1-1111-1
χ10111111-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-111-1-1-11
χ11111111-1-1-1-111111111-1-111-1-1-1-111111111-1-1111-1-11-1-1-1-11111-1-111-1-1-1-11-11-1-11-1-111-1-111-1-111-11
χ12111111-1-1-1-111111111-1-111-1-1-1-111111111-1-111-111-1-1-1-1-11111-1-111-1-1-1-1-11-111-111-1-1-1-11111-1-11-1
χ13111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-11111-1-1-11
χ14111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-1-1111-1
χ15111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1-1-111111-11-1-11-1-11111-1-111-1-11-1
χ16111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-11111-1-1-1-11111-11-111-111-1-111-1-1-1-111-11
χ1722222222222-2-2-2-2222-2-2222222-2-2-2-200000000000000000000-2-2000000000000000000002i−2i2i−2i00
χ1822222222222-2-2-2-2222-2-2222222-2-2-2-200000000000000000000-2-200000000000000000000−2i2i−2i2i00
χ192222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1000000-122-1-1-1-1-1-1-10000000000
χ202222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-100002222-2-2-2-2-1-1-1-1-1-1-1-1-1-10000001-2-211111110000000000
χ212222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2222211111111-1-1000000-1-2-2-1-1-111110000000000
χ222222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-211111111-1-1000000122111-1-1-1-10000000000
χ23222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-20000000000000000000022000000000000000000002i−2i−2i2i00
χ24222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2000000000000000000002200000000000000000000−2i2i2i−2i00
χ25222222-2-2-2-2-12222-1-1-1-2-2-1-11111-1-1-1-1000022-2-22-2-22-1-1-1-1111111000000-12-211-1-1-1110000000000
χ26222222-2-2-2-2-12222-1-1-1-2-2-1-11111-1-1-1-1000022-2-2-222-2-1-1-1-11111110000001-22-1-1111-1-10000000000
χ27222222-2-2-2-2-12222-1-1-1-2-2-1-11111-1-1-1-10000-2-2222-2-221111-1-1-1-111000000-1-2211-111-1-10000000000
χ28222222-2-2-2-2-12222-1-1-1-2-2-1-11111-1-1-1-10000-2-222-222-21111-1-1-1-11100000012-2-1-11-1-1110000000000
χ292222-2-222-2-222-2-222222-2-2-222-2-222-2-2222200000000000000002-2-2-222-2-200000000000000000000
χ302222-2-222-2-222-2-222222-2-2-222-2-222-2-2-2-2-2-200000000000000002-222-2-22200000000000000000000
χ312222-2-222-2-22-222-2222-22-2-222-2-2-2-2220000000022-2-200000000-220000002002-2-200000000000000
χ322222-2-222-2-22-222-2222-22-2-222-2-2-2-22200000000-2-22200000000-22000000-200-22200000000000000
χ332222-2-222-2-2-1-222-2-1-1-1-2211-1-11111-1-10000000022-2-2−i3−i3i3i3−i3−i3i3i31-1000000-100-111−i3i3−i3i30000000000
χ342222-2-222-2-2-1-222-2-1-1-1-2211-1-11111-1-10000000022-2-2i3i3−i3−i3i3i3−i3−i31-1000000-100-111i3−i3i3−i30000000000
χ352222-2-222-2-2-1-222-2-1-1-1-2211-1-11111-1-100000000-2-222−i3−i3i3i3−i3−i3i3i31-10000001001-1-1i3−i3i3−i30000000000
χ362222-2-222-2-2-1-222-2-1-1-1-2211-1-11111-1-100000000-2-222i3i3−i3−i3i3i3−i3−i31-10000001001-1-1−i3i3−i3i30000000000
χ372222-2-2-2-22222-2-22222-22-2-2-2-22222-2-222220000000000000000-22-2-2-2-22200000000000000000000
χ382222-2-2-2-22222-2-22222-22-2-2-2-22222-2-2-2-2-2-20000000000000000-222222-2-200000000000000000000
χ392222-2-2-2-2222-222-22222-2-2-2-2-222-2-222000000002-22-2000000002-2000000200-22-200000000000000
χ402222-2-2-2-2222-222-22222-2-2-2-2-222-2-22200000000-22-22000000002-2000000-2002-2200000000000000
χ412222-2-2-2-222-1-222-2-1-1-12-21111-1-111-1-1000000002-22-2−i3−i3i3i3i3i3−i3−i3-11000000-1001-11−i3i3i3−i30000000000
χ422222-2-2-2-222-1-222-2-1-1-12-21111-1-111-1-1000000002-22-2i3i3−i3−i3−i3−i3i3i3-11000000-1001-11i3−i3−i3i30000000000
χ432222-2-2-2-222-1-222-2-1-1-12-21111-1-111-1-100000000-22-22−i3−i3i3i3i3i3−i3−i3-11000000100-11-1i3−i3−i3i30000000000
χ442222-2-2-2-222-1-222-2-1-1-12-21111-1-111-1-100000000-22-22i3i3−i3−i3−i3−i3i3i3-11000000100-11-1−i3i3i3−i30000000000
χ452-2-222-200002-22-22-2-22002-200002-22-222-2-2002-2000000002-22-2002-200000000000000002-2000000
χ462-2-222-200002-22-22-2-22002-200002-22-222-2-200-2200000000-22-22002-20000000000000000-22000000
χ472-2-222-200002-22-22-2-22002-200002-22-2-2-222002-2000000002-22-200-220000000000000000-22000000
χ482-2-222-200002-22-22-2-22002-200002-22-2-2-22200-2200000000-22-2200-2200000000000000002-2000000
χ492-2-22-2200002-2-222-2-2200-2200002-2-2222-2-22-20000002-22-2000000-22000000000000002-200000000
χ502-2-22-2200002-2-222-2-2200-2200002-2-2222-2-2-22000000-22-22000000-2200000000000000-2200000000
χ512-2-22-2200002-2-222-2-2200-2200002-2-22-2-2222-20000002-22-20000002-200000000000000-2200000000
χ522-2-22-2200002-2-222-2-2200-2200002-2-22-2-222-22000000-22-220000002-2000000000000002-200000000
χ534444444444-2-4-4-4-4-2-2-2-4-4-2-2-2-2-2-22222000000000000000000002200000000000000000000000000
χ54444444-4-4-4-4-2-4-4-4-4-2-2-244-2-22222222200000000000000000000-2-200000000000000000000000000
χ554444-4-444-4-4-24-4-44-2-2-24-422-2-222-2-22200000000000000000000-2200000000000000000000000000
χ564444-4-4-4-444-24-4-44-2-2-2-442222-2-2-2-222000000000000000000002-200000000000000000000000000
χ5744-4-400004-4400004-4-40000004-4000022−2222−22000000000000000000000022−2200000000000000000000
χ5844-4-400004-4400004-4-40000004-40000−2222−22220000000000000000000000−222200000000000000000000
χ5944-4-40000-44400004-4-4000000-44000022−2222−220000000000000000000000−222200000000000000000000
χ6044-4-40000-44400004-4-4000000-440000−2222−2222000000000000000000000022−2200000000000000000000
χ614-44-4004-40040000-44-400004-400000022−22−22220000000000000000000022−220000000000000000000000
χ624-44-4004-40040000-44-400004-4000000−222222−2200000000000000000000−22220000000000000000000000
χ634-44-400-440040000-44-40000-4400000022−22−222200000000000000000000−22220000000000000000000000
χ644-44-400-440040000-44-40000-44000000−222222−220000000000000000000022−220000000000000000000000
χ654-4-444-4000044-44-4-4-44004-40000-44-44000000000000000000000000000000000000000000000000
χ664-4-444-40000-24-44-422-200-2200002-22-2000000000000−2i32i32i3−2i300000000000000000000000000000000
χ674-4-444-40000-24-44-422-200-2200002-22-20000000000002i3−2i3−2i32i300000000000000000000000000000000
χ684-4-444-40000-2-44-4422-200-220000-22-220000004-400000000-22-220000000000000000000000000000
χ694-4-444-40000-2-44-4422-200-220000-22-22000000-44000000002-22-20000000000000000000000000000
χ704-4-44-440000444-4-4-4-4400-440000-444-4000000000000000000000000000000000000000000000000
χ714-4-44-440000-244-4-422-2002-200002-2-220000000000000000−2i32i32i3−2i30000000000000000000000000000
χ724-4-44-440000-244-4-422-2002-200002-2-2200000000000000002i3−2i3−2i32i30000000000000000000000000000
χ734-4-44-440000-2-4-44422-2002-20000-222-200004-4000000-22-2200000000000000000000000000000000
χ744-4-44-440000-2-4-44422-2002-20000-222-20000-440000002-22-200000000000000000000000000000000
χ7588-8-800008-8-40000-444000000-440000000000000000000000000000000000000000000000000000
χ7688-8-80000-88-40000-4440000004-40000000000000000000000000000000000000000000000000000
χ778-88-8008-800-400004-440000-44000000000000000000000000000000000000000000000000000000
χ788-88-800-8800-400004-4400004-4000000000000000000000000000000000000000000000000000000

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