Finite Group Databasebeta

← Group #10901312

Character table — Group #10901312

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order1222223444444666444661212121212121212244466121212121212121224668812122424242422244444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-111-11111-1-1
χ611111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-11-1-1-1-111
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-111111-1-1
χ9111111111-1-111111-1-1-111-1-1-1-111111-11-111-1-1-1-1-1-1111-1111-1-1-111-1-111-11-1-1-1111-1-11-1
χ10111111111-1-111111-1-1-111-1-1-1-111111-11-111-1-1-1-1-1-1111-1111-1-1-111-1-1-1-11-1111-1-1-111-11
χ11111111111-1-111111-1-1-111-1-1-1-111111-11-111-1-1-1-1-1-111-11-1-1-1111-1-11111-11-1-1-11-1-111-11
χ12111111111-1-111111-1-1-111-1-1-1-111111-11-111-1-1-1-1-1-111-11-1-1-1111-1-111-1-11-1111-111-1-11-1
χ13111111111-1-111111-1-1-111-1-1-1-11111-11-11-1-1-1-11111-1-11-111-11-1-1-1-111111-11-1-1-111-1-1-11
χ14111111111-1-111111-1-1-111-1-1-1-11111-11-11-1-1-1-11111-1-11-111-11-1-1-1-111-1-1-11-1111-1-1111-1
χ15111111111-1-111111-1-1-111-1-1-1-11111-11-11-1-1-1-11111-1-1-11-1-11-11111-1-1111-11-1-1-1-1-1111-1
χ16111111111-1-111111-1-1-111-1-1-1-11111-11-11-1-1-1-11111-1-1-11-1-11-11111-1-1-1-1-11-111111-1-1-11
χ172222222-2-222-2-2222-2-222222-2-2-2-2-2-20000002-20000000000000000002-20002-20000000
χ182222222-2-222-2-2222-2-222222-2-2-2-2-2-20000002-2000000000000000000-22000-220000000
χ192222222-2-2-2-2-2-222222-222-2-222-2-2-2-2000000-220000000000000000002-2000-220000000
χ202222222-2-2-2-2-2-222222-222-2-222-2-2-2-2000000-22000000000000000000-220002-20000000
χ21222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-211-2-211111100000000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-111111122-1-1-2-2-1-1111100000000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-1111111-2-2112211-1-1-1-100000000000000
χ25222222-122-2-222-1-1-1-2-2-2-1-11111-1-1-1-12-22-2-1-1111111-1-12-2-1-12-211-1-11100000000000000
χ26222222-122-2-222-1-1-1-2-2-2-1-11111-1-1-1-12-22-2-1-1111111-1-1-2211-22-1-111-1-100000000000000
χ27222222-122-2-222-1-1-1-2-2-2-1-11111-1-1-1-1-22-221111-1-1-1-1112-2-1-1-221111-1-100000000000000
χ28222222-122-2-222-1-1-1-2-2-2-1-11111-1-1-1-1-22-221111-1-1-1-111-22112-2-1-1-1-11100000000000000
χ292222-2-222-2222-22222-2-2-2-222-2-22-2-222-2-2222-2222-2-2-2-200000000000000000000000000
χ302222-2-222-2222-22222-2-2-2-222-2-22-2-22-222-2-2-2-22-2-2222200000000000000000000000000
χ312222-2-222-2-2-22-2222-222-2-2-2-2222-2-2222-2-2222-2-2-222-2-200000000000000000000000000
χ322222-2-222-2-2-22-2222-222-2-2-2-2222-2-22-2-222-2-22-222-2-22200000000000000000000000000
χ332222-2-22-2222-22222-22-2-2-22222-222-2000000-2-2000000000000000000002-2-2002000000
χ342222-2-22-2222-22222-22-2-2-22222-222-2000000-2-200000000000000000000-22200-2000000
χ352222-2-22-22-2-2-222222-22-2-2-2-2-2-2-222-2000000220000000000000000000022-200-2000000
χ362222-2-22-22-2-2-222222-22-2-2-2-2-2-2-222-20000002200000000000000000000-2-22002000000
χ372222-2-2-12-2222-2-1-1-12-2-211-1-111-111-12-2-22-1-11-1-1-1111100−i3i300−i3i3−i3i3−i3i300000000000000
χ382222-2-2-12-2222-2-1-1-12-2-211-1-111-111-12-2-22-1-11-1-1-1111100i3−i300i3−i3i3−i3i3−i300000000000000
χ392222-2-2-12-2222-2-1-1-12-2-211-1-111-111-1-222-2111-111-1-1-1-100−i3i300−i3i3i3−i3i3−i300000000000000
χ402222-2-2-12-2222-2-1-1-12-2-211-1-111-111-1-222-2111-111-1-1-1-100i3−i300i3−i3−i3i3−i3i300000000000000
χ412222-2-2-12-2-2-22-2-1-1-1-2221111-1-1-111-122-2-2-1-1-1111-1-11100−i3i300i3−i3−i3i3i3−i300000000000000
χ422222-2-2-12-2-2-22-2-1-1-1-2221111-1-1-111-122-2-2-1-1-1111-1-11100i3−i300−i3i3i3−i3−i3i300000000000000
χ432222-2-2-12-2-2-22-2-1-1-1-2221111-1-1-111-1-2-22211-11-1-111-1-100−i3i300i3−i3i3−i3−i3i300000000000000
χ442222-2-2-12-2-2-22-2-1-1-1-2221111-1-1-111-1-2-22211-11-1-111-1-100i3−i300−i3i3−i3i3i3−i300000000000000
χ45444444-2-4-444-4-4-2-2-2-4-44-2-2-2-2222222000000-2200000000000000000000000000000000
χ46444444-2-4-4-4-4-4-4-2-2-244-4-2-222-2-222220000002-200000000000000000000000000000000
χ474444-4-4-2-4444-44-2-2-2-44-422-2-2-2-22-2-220000002200000000000000000000000000000000
χ484444-4-4-2-44-4-4-44-2-2-24-442222222-2-22000000-2-200000000000000000000000000000000
χ4944-4-4004004i−4i004-4-4000004i−4i00000000000000000000000000000000000000002-22i−2i00
χ5044-4-4004004i−4i004-4-4000004i−4i0000000000000000000000000000000000000000-22−2i2i00
χ5144-4-400400−4i4i004-4-400000−4i4i00000000000000000000000000000000000000002-2−2i2i00
χ5244-4-400400−4i4i004-4-400000−4i4i0000000000000000000000000000000000000000-222i−2i00
χ534-44-44-444400-4-4-4-440004-4000044-4-40000000000000000000000000000000000000000
χ544-44-44-44-4-40044-4-440004-40000-4-4440000000000000000000000000000000000000000
χ554-44-44-4-24400-4-422-2000-220000-2-2220000000023−2323−230000000000000000000000000000
χ564-44-44-4-24400-4-422-2000-220000-2-22200000000−2323−23230000000000000000000000000000
χ574-44-44-4-2-4-4004422-2000-22000022-2-20000−2i32i3000000−2i32i300000000000000000000000000
χ584-44-44-4-2-4-4004422-2000-22000022-2-200002i3−2i30000002i3−2i300000000000000000000000000
χ594-44-4-4444-400-44-4-44000-4400004-44-40000000000000000000000000000000000000000
χ604-44-4-444-44004-4-4-44000-440000-44-440000000000000000000000000000000000000000
χ614-44-4-44-24-400-4422-20002-20000-22-220000000023−23−23230000000000000000000000000000
χ624-44-4-44-24-400-4422-20002-20000-22-2200000000−232323−230000000000000000000000000000
χ634-44-4-44-2-44004-422-20002-200002-22-20000−2i32i30000002i3−2i300000000000000000000000000
χ644-44-4-44-2-44004-422-20002-200002-22-200002i3−2i3000000−2i32i300000000000000000000000000
χ6588-8-800-4008i−8i00-44400000−4i4i0000000000000000000000000000000000000000000000
χ6688-8-800-400−8i8i00-444000004i−4i0000000000000000000000000000000000000000000000
χ678-8-88008000000-88-800000000000000000000000000000000000000000000000000000
χ688-8-8800-40000004-44000000043−4300000000000000000000000000000000000000000000
χ698-8-8800-40000004-440000000−434300000000000000000000000000000000000000000000

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