Finite Group Databasebeta

← Group #10849430

Character table — Group #10849430

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222222224444444444888888888888888888888888121212121616161616161616242424242424242424244848
order122222344446664444661212121224444466881212121212121212121212121212444448121224242424224444448848
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-11-11-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11111111-1-1
χ911111111111111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-111-11-11-1-111-1-1-11
χ1011111111111111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1111-11-111-1-1111-1
χ1111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-11-11-1-1-1-1111-1
χ1211111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11-11-11111-1-1-11
χ1311111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-11111-1-11-1
χ1411111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-1-111-11
χ1511111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-111-1-111-11
χ1611111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-111-1-11-1
χ172222222-2-2-2-2222000022-2-2-2-2002-200000000000022-2-2000022-2-20000000000002-2000000
χ182222222-2-2-2-2222000022-2-2-2-2002-200000000000022-2-20000-2-222000000000000-22000000
χ192222222-2-2-2-2222000022-2-2-2-200-22000000000000-2-222000022-2-2000000000000-22000000
χ202222222-2-2-2-2222000022-2-2-2-200-22000000000000-2-2220000-2-2220000000000002-2000000
χ21222222-12222-1-1-12222-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1000000000000
χ22222222-12222-1-1-12222-1-1-1-1-1-12222-2-2-1-1-2-2-1-1-1-1-1-1-1-1-1-111110000-2-2111111000000000000
χ23222222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-222112211-1-1-1-11111-1-1-1-10000-2-211-1-111000000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-211-2-211-1-1-1-111111111000022-1-111-1-1000000000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-122-2-222-1-1-2-2-1-111111111-1-1-1-10000-221111-1-1000000000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-122-2-2-2-2-1-122-1-111111111111100002-2-1-1-1-111000000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2222211-2-2111111-1-1-1-1-1-1-1-100002-2-1-11111000000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-222-2-21122111111-1-1-1-111110000-2211-1-1-1-1000000000000
χ292222-2-222-2-2222222-2-2-2-22-22-200000000000022-2-2000000002-22-20000000020-2000000000
χ302222-2-222-2-2222222-2-2-2-22-22-200000000000022-2-200000000-22-2200000000-202000000000
χ312222-2-222-2-22222-2-222-2-22-22-2000000000000-2-222000000002-22-200000000-202000000000
χ322222-2-222-2-22222-2-222-2-22-22-2000000000000-2-22200000000-22-220000000020-2000000000
χ332222-2-22-222-22220000-2-2-22-222-200002200-2-20000000000002-2-2200000000020-200000000
χ342222-2-22-222-22220000-2-2-22-222-200002200-2-2000000000000-222-2000000000-20200000000
χ352222-2-22-222-22220000-2-2-22-22-220000-2-200220000000000002-2-22000000000-20200000000
χ362222-2-22-222-22220000-2-2-22-22-220000-2-20022000000000000-222-200000000020-200000000
χ372-22-22-22-2-2222-2-22i−2i2i−2i-22-222-200002-2002i−2i002i−2i2i−2i000022-2-2000000002i−2i00000000000000
χ382-22-22-22-2-2222-2-22i−2i2i−2i-22-222-20000-2200−2i2i002i−2i2i−2i0000-2-22200000000−2i2i00000000000000
χ392-22-22-22-2-2222-2-2−2i2i−2i2i-22-222-200002-200−2i2i00−2i2i−2i2i000022-2-200000000−2i2i00000000000000
χ402-22-22-22-2-2222-2-2−2i2i−2i2i-22-222-20000-22002i−2i00−2i2i−2i2i0000-2-222000000002i−2i00000000000000
χ412-22-22-2-1-2-222-1112i−2i2i−2i1-11-1-1100002-2−i3i32i−2i−i3i3−ii−ii3−33−3-1-1110000003−3−ii−i3i3000000000000
χ422-22-22-2-1-2-222-1112i−2i2i−2i1-11-1-1100002-2i3−i32i−2ii3−i3−ii−ii−33−33-1-111000000−33−iii3−i3000000000000
χ432-22-22-2-1-2-222-1112i−2i2i−2i1-11-1-110000-22−i3i3−2i2i−i3i3−ii−ii3−33−311-1-1000000−33i−ii3−i3000000000000
χ442-22-22-2-1-2-222-1112i−2i2i−2i1-11-1-110000-22i3−i3−2i2ii3−i3−ii−ii−33−3311-1-10000003−3i−i−i3i3000000000000
χ452-22-22-2-1-2-222-111−2i2i−2i2i1-11-1-1100002-2−i3i3−2i2i−i3i3i−ii−i−33−33-1-111000000−33i−i−i3i3000000000000
χ462-22-22-2-1-2-222-111−2i2i−2i2i1-11-1-1100002-2i3−i3−2i2ii3−i3i−ii−i3−33−3-1-1110000003−3i−ii3−i3000000000000
χ472-22-22-2-1-2-222-111−2i2i−2i2i1-11-1-110000-22−i3i32i−2i−i3i3i−ii−i−33−3311-1-10000003−3−iii3−i3000000000000
χ482-22-22-2-1-2-222-111−2i2i−2i2i1-11-1-110000-22i3−i32i−2ii3−i3i−ii−i3−33−311-1-1000000−33−ii−i3i3000000000000
χ492-22-2-222-22-222-2-22i−2i−2i2i2-2-2-2220000000000002i−2i−2i2i000000000000000000000000002-22i−2i00
χ502-22-2-222-22-222-2-22i−2i−2i2i2-2-2-2220000000000002i−2i−2i2i00000000000000000000000000-22−2i2i00
χ512-22-2-222-22-222-2-2−2i2i2i−2i2-2-2-222000000000000−2i2i2i−2i000000000000000000000000002-2−2i2i00
χ522-22-2-222-22-222-2-2−2i2i2i−2i2-2-2-222000000000000−2i2i2i−2i00000000000000000000000000-222i−2i00
χ53444444-2-4-4-4-4-2-2-20000-2-22222004-4000000000000-2-2220000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-2222200-4400000000000022-2-20000000000000000000000000000
χ554444-4-4-24-4-44-2-2-244-4-422-22-22000000000000-2-22200000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-4-44422-22-2200000000000022-2-200000000000000000000000000000000
χ574444-4-4-2-444-4-2-2-20000222-22-24-40000-2-20022000000000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-20000222-22-2-4400002200-2-2000000000000000000000000000000000000
χ594-44-44-4444-4-44-4-40000-444-4-44000000000000000000000000000000000000000000000000
χ604-44-44-4-244-4-4-22200002-2-222-2000000000000000023−23−23230000000000000000000000000000
χ614-44-44-4-244-4-4-22200002-2-222-20000000000000000−232323−230000000000000000000000000000
χ624-44-4-4444-44-44-4-400004-444-4-4000000000000000000000000000000000000000000000000
χ634-44-4-44-24-44-4-2220000-22-2-222000000−2i32i3002i3−2i3000000000000000000000000000000000000
χ644-44-4-44-24-44-4-2220000-22-2-2220000002i3−2i300−2i32i3000000000000000000000000000000000000
χ654-44-4-44-2-44-44-2224i−4i−4i4i-2222-2-2000000000000−2i2i2i−2i00000000000000000000000000000000
χ664-44-4-44-2-44-44-222−4i4i4i−4i-2222-2-20000000000002i−2i−2i2i00000000000000000000000000000000
χ6788-8-80080000-88-80000000000000000000000000000000000000000000000000000000000
χ6888-8-800-400004-4400000000000000000000000000000023−2323−23000000000000000000000000
χ6988-8-800-400004-44000000000000000000000000000000−2323−2323000000000000000000000000
χ708-8-880080000-8-880000000000000000000000000000000000000000000000000000000000
χ718-8-8800-4000044-400000000000000000000000000000023−23−2323000000000000000000000000
χ728-8-8800-4000044-4000000000000000000000000000000−232323−23000000000000000000000000

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