Finite Group Databasebeta

← Group #10784607

Character table — Group #10784607

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222244444448888888888888888881212121212121212121216161616161616161616242424242432484848
order122234444666224121212122446688888812121224242424444488888824612121224242424248886448
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-111111-1-1-1-11-1-111-11-1-1
χ4111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-111111-1-1-1-1-111-1-1-1-111
χ51111111111111111111-11-11111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1111
χ61111111111111111111-11-11111-1-111-1-111111-1-111111111-1-1-11-1-111-1-1-11111-1-1-1-1
χ71111111111111111111-11-111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-11-1-1-1-111111-1-111-1-1
χ81111111111111111111-11-111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-111-1-1-1111-111
χ9111111111111-1-1111111-11-1-111-1-1-1-1111-1-1-1-111111111-1-11-11-1-1-111-1-111-1-1-11-11-1
χ10111111111111-1-1111111-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-111111-11
χ11111111111111-1-1111111-11-1-1-1-11111111111111-1-1111111-1-11-1-1-1-1-1111-11-1-1-1-1-11
χ12111111111111-1-1111111-11-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111-11-111-111-1
χ13111111111111-1-111111-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-11-1-11111111-1111-1-11-1
χ14111111111111-1-111111-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1111111-1-1-11-1-1111111-11-1-1-1-11-11
χ15111111111111-1-111111-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-111-1111-1-11
χ16111111111111-1-111111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-111111111-1-111-1-1-1-1-1-11-1-1111-1
χ17222222-22-222200-22-22-220-200000000-2-2-20000220022-2-2000020000000-200000000
χ18222222-22-222200-22-22-220-200000000-2-2-20000-2-200-2-222000020000000200000000
χ19222222-22-222200-22-22-2-2020000000022-200002200-2-2220000-20000000-200000000
χ20222222-22-222200-22-22-2-2020000000022-20000-2-20022-2-20000-20000000200000000
χ2122222-22-2222222-2-22-220-202200000000-200000022000022000-20000000-2-2000000
χ2222222-22-2222222-2-22-220-202200000000-2000000-2-20000-2-2000-2000000022000000
χ2322222-22-22222-2-2-2-22-22020-2-200000000-2000000220000-2-200020000000-22000000
χ2422222-22-22222-2-2-2-22-22020-2-200000000-2000000-2-2000022000200000002-2000000
χ252222-12222-1-1-1222-1-1-1-1222-1-1222222-1-1-1-1-1-1-1000000000022-1-1-1-1-1-1-1-100000-1000
χ262222-12222-1-1-1222-1-1-1-1222-1-1-2-2-2-2-2-2-1-1-111110000000000-22-1-1-1-11111000001000
χ272222-12222-1-1-1222-1-1-1-1-22-2-1-122-2-22211-1-1-1-1-10000000000-2-21-111-1-111000001000
χ282222-12222-1-1-1222-1-1-1-1-22-2-1-1-2-222-2-211-1111100000000002-21-11111-1-100000-1000
χ292222-12222-1-1-1-2-22-1-1-1-12-221122-2-2-2-2-1-1-1111100000000002-2-1111-1-11100000-1000
χ302222-12222-1-1-1-2-22-1-1-1-12-2211-2-22222-1-1-1-1-1-1-10000000000-2-2-111111-1-1000001000
χ312222-12222-1-1-1-2-22-1-1-1-1-2-2-2112222-2-211-111110000000000-2211-1-1-1-1-1-1000001000
χ322222-12222-1-1-1-2-22-1-1-1-1-2-2-211-2-2-2-22211-1-1-1-1-100000000002211-1-1111100000-1000
χ332-2-2220-202-2-222-200-2020002-22−2002−200022−2−2002-22−22−22-20000002−2000002−20000
χ342-2-2220-202-2-222-200-2020002-22−2002−200022−2−200-22−22−22-220000002−200000−220000
χ352-2-2220-202-2-222-200-2020002-2−2200−22000−2−222002-2−22−222-2000000−2200000−220000
χ362-2-2220-202-2-222-200-2020002-2−2200−22000−2−22200-222−22−2-22000000−22000002−20000
χ372-2-2220-202-2-22-2200-202000-222−200−22000−2−222002-22−22−2-220000002−200000−220000
χ382-2-2220-202-2-22-2200-202000-222−200−22000−2−22200-22−22−222-20000002−2000002−20000
χ392-2-2220-202-2-22-2200-202000-22−22002−200022−2−2002-2−22−22-22000000−22000002−20000
χ402-2-2220-202-2-22-2200-202000-22−22002−200022−2−200-222−22−22-2000000−2200000−220000
χ4144444-4-4-4-4444004-4-4-4-400000000000004000000000000000000000000000000000
χ424444-24-44-4-2-2-200-4-22-2240-4000000002220000000000000000-20000000000000000
χ434444-24-44-4-2-2-200-4-22-22-40400000000-2-22000000000000000020000000000000000
χ444444-2-44-44-2-2-244-42-22-20-40-2-2000000002000000000000000002000000000000000
χ454444-2-44-44-2-2-2-4-4-42-22-20402200000000200000000000000000-2000000000000000
χ464444-2-4-4-4-4-2-2-200422220000000000000-2000000000000000000−2i32i30000000000000
χ474444-2-4-4-4-4-2-2-200422220000000000000-20000000000000000002i3−2i30000000000000
χ4844-4-4440-40-44-400040-40000000022−2200000000000000000000000000022−22000000000
χ4944-4-4440-40-44-400040-400000000−2222000000000000000000000000000−2222000000000
χ5044-4-44-4040-44-4000-40400000000000000000004i−4i000000000000000000000000000
χ5144-4-44-4040-44-4000-4040000000000000000000−4i4i000000000000000000000000000
χ5244-4-4-240-402-22000-2020000000022−220023−2306−66−6000000000000000000−22000000000
χ5344-4-4-240-402-22000-2020000000022−2200−23230−66−66000000000000000000−22000000000
χ5444-4-4-240-402-22000-20200000000−22220023−230−66−660000000000000000002−2000000000
χ5544-4-4-240-402-22000-20200000000−222200−232306−66−60000000000000000002−2000000000
χ564-4-444040-4-4-44000040-4000000000000000000000022−22−2222000000000000000000000
χ574-4-444040-4-4-44000040-40000000000000000000000−222222−22000000000000000000000
χ584-4-44-20-40422-24-40020-2000-2222−220022−22000−2−2220000000000000000−2200000000000
χ594-4-44-20-40422-24-40020-2000-22−222200−222200022−2−200000000000000002−200000000000
χ604-4-44-20-40422-2-440020-20002-222−2200−222200022−2−20000000000000000−2200000000000
χ614-4-44-20-40422-2-440020-20002-2−22220022−22000−2−22200000000000000002−200000000000
χ6288-8-8-4-80804-4400040-4000000000000000000000000000000000000000000000000
χ638-88-8800008-8-8000000000000000000000000000000000000000000000000000000
χ648-88-8-40000-44400000000000000000000023−23−232300000000000000000000000000000
χ658-88-8-40000-444000000000000000000000−232323−2300000000000000000000000000000
χ668-8-88-4080-844-40000-40400000000000000000000000000000000000000000000000

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