Finite Group Databasebeta

← Group #10770765

Character table — Group #10770765

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222244444444444488888888161616161616161616161616161616162424242424242424242424244848
order122222366644444466121212122244121212124466881212121212122424242422444444888844
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-111
χ71111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-11-11-11-1-1-1-1-111
χ81111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-11-11-111111-1-1
χ91111111111-1-1-1-11111-1-1111-11-11-1-1-11-11-11-11-111-1-111-1-111-1-11-1-1111-1-11-1
χ101111111111-1-1-1-11111-1-1111-11-11-1-1-11-11-11-11-111-1-111-1-1-1-111-111-1-1-111-11
χ111111111111-1-1-1-11111-1-1111-11-11-1-1-1-111-1-111-1-1-111-1-11111-1-11-1-11-1-111-11
χ121111111111-1-1-1-11111-1-1111-11-11-1-1-1-111-1-111-1-1-111-1-111-1-111-111-111-1-11-1
χ131111111111-1-1-1-11111-1-111-11-111-1-1-11-1-11-11-1111-1-1-1-1111-1-1111-1-111-1-1-11
χ141111111111-1-1-1-11111-1-111-11-111-1-1-11-1-11-11-1111-1-1-1-111-111-1-1-111-1-1111-1
χ151111111111-1-1-1-11111-1-111-11-111-1-1-1-11-111-1-11-1-11111-1-11-1-1111-1-1-1-1111-1
χ161111111111-1-1-1-11111-1-111-11-111-1-1-1-11-111-1-11-1-11111-1-1-111-1-1-11111-1-1-11
χ17222222222222-2-2-2-22222-2-20000-2-2-22000000000000000002020-20-2000000
χ18222222222222-2-2-2-22222-2-20000-2-2-2200000000000000000-20-20202000000
χ192222222222-2-222-2-222-2-2-2-20000-222-20000000000000000020-2020-2000000
χ202222222222-2-222-2-222-2-2-2-20000-222-200000000000000000-2020-202000000
χ21222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000000
χ22222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-2-2-1-1-2-2-1-11111111100000000000000
χ23222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-12211-2-211-1-1-1-1111100000000000000
χ24222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-21122111111-1-1-1-100000000000000
χ25222222-1-1-1-1-2-2-2-222-1-111-1-12-22-2-11112-2-112-2-11-1-111-1-11100000000000000
χ26222222-1-1-1-1-2-2-2-222-1-111-1-12-22-2-1111-22-11-22-1111-1-111-1-100000000000000
χ27222222-1-1-1-1-2-2-2-222-1-111-1-1-22-22-11112-21-1-221-1-1-11111-1-100000000000000
χ28222222-1-1-1-1-2-2-2-222-1-111-1-1-22-22-1111-221-12-21-111-1-1-1-11100000000000000
χ292222-2-222222-22-22-2-2-222220000-22-2-200000000000000002020-20-20000000
χ302222-2-222222-22-22-2-2-222220000-22-2-20000000000000000-20-202020000000
χ312222-2-222222-2-22-22-2-222-2-22-2-222-22-2002-200-220000000000000000000000
χ322222-2-222222-2-22-22-2-222-2-2-222-22-22-200-22002-20000000000000000000000
χ332222-2-22222-222-2-22-2-2-2-2-2-222-2-222-22002200-2-20000000000000000000000
χ342222-2-22222-222-2-22-2-2-2-2-2-2-2-22222-2200-2-200220000000000000000000000
χ352222-2-22222-22-222-2-2-2-2-2220000-2-222000000000000000020-20-2020000000
χ362222-2-22222-22-222-2-2-2-2-2220000-2-2220000000000000000-202020-20000000
χ372222-2-2-1-1-1-12-2-22-2211-1-1112-2-22-11-1100-11001-13−33−33−33−300000000000000
χ382222-2-2-1-1-1-12-2-22-2211-1-1112-2-22-11-1100-11001-1−33−33−33−3300000000000000
χ392222-2-2-1-1-1-12-2-22-2211-1-111-222-2-11-11001-100-113−33−3−33−3300000000000000
χ402222-2-2-1-1-1-12-2-22-2211-1-111-222-2-11-11001-100-11−33−333−33−300000000000000
χ412222-2-2-1-1-1-1-222-2-2211111122-2-2-1-11-100-1-100113−3−333−3−3300000000000000
χ422222-2-2-1-1-1-1-222-2-2211111122-2-2-1-11-100-1-10011−333−3−333−300000000000000
χ432222-2-2-1-1-1-1-222-2-22111111-2-222-1-11-1001100-1-13−3−33−333−300000000000000
χ442222-2-2-1-1-1-1-222-2-22111111-2-222-1-11-1001100-1-1−333−33−3−3300000000000000
χ45444444-2-2-2-244-4-4-4-4-2-2-2-2220000222-2000000000000000000000000000000
χ46444444-2-2-2-2-4-444-4-4-2-2222200002-2-22000000000000000000000000000000
χ474444-4-4-2-2-2-24-44-44-422-2-2-2-200002-222000000000000000000000000000000
χ484444-4-4-2-2-2-2-44-444-42222-2-2000022-2-2000000000000000000000000000000
χ494-44-44-44-4-440000004-400000000000000000000000000000000000000−2i22i200
χ504-44-44-44-4-440000004-4000000000000000000000000000000000000002i2−2i200
χ514-44-4-444-4-44000000-44000000000000000000000000000000000000−2i22i20000
χ524-44-4-444-4-44000000-440000000000000000000000000000000000002i2−2i20000
χ5388-8-80088-8-800000000000000000000000000000000000000000000000000
χ5488-8-800-4-4440000000043−430000000000000000000000000000000000000000
χ5588-8-800-4-44400000000−43430000000000000000000000000000000000000000
χ568-88-88-8-444-4000000-44000000000000000000000000000000000000000000
χ578-88-8-88-444-40000004-4000000000000000000000000000000000000000000
χ588-8-88008-88-800000000000000000000000000000000000000000000000000
χ598-8-8800-44-44000000000043−4300000000000000000000000000000000000000
χ608-8-8800-44-440000000000−434300000000000000000000000000000000000000

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