Finite Group Databasebeta

← Group #10828767

Character table — Group #10828767

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222444444444466668888888888888888888881212121212121212121212121616161616161616162424242424242448
order12222222344446666666228888121212124444224444466881212242424242424242422444444888846612121212121244444884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1
χ3111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-11-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-11
χ71111111111111111111111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-111111
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-111-1-111-1
χ911111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-11
χ1011111111111111111111-1-1111111111111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-11111-1-1-111-1-1-1
χ1111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-11-1-11111-1
χ1211111111111111111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111
χ1311111111111111111111-1-1-1-1-1-11111111111-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111111-1
χ1411111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-11111-1-1-1-1-1-1-1111
χ1511111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-11111111111-111-1-1-1-1111-1-1-1-1-1-11
χ1611111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-11111-1-111111-1-1-1
χ17222222222-2-2-2-22222222220000-2-2-2-2222200-200002200-2-200000000-2-22200000000000000000-20000000
χ18222222222-2-2-2-22222222220000-2-2-2-2-2-2-2-200-200002200-2-20000000022-2-20000000000000000020000000
χ19222222222-2-2-2-22222222-2-20000-2-2-2-222220020000-2-2002200000000-2-2-2-20000000000000000020000000
χ20222222222-2-2-2-22222222-2-20000-2-2-2-2-2-2-2-20020000-2-2002200000000222200000000000000000-20000000
χ2122222222-12222-1-1-1-1-1-1-1222222-1-1-1-100002222222-1-122-1-1-1-1-1-1-1-1-1-10000000000002-1-1-1-1-1-1-1-100000000
χ2222222222-12222-1-1-1-1-1-1-1222222-1-1-1-10000-2-22-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1000000000000-21111111100000000
χ2322222222-12222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1000022222-2-2-1-1-2-2-1-111111111000000000000-2-1-111-1-11100000000
χ2422222222-12222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-10000-2-22-2-222-1-1-2-2-1-111111111000000000000211-1-111-1-100000000
χ2522222222-12222-1-1-1-1-1-1-1-2-22222-1-1-1-1000022-2-2-2-2-211-2-211-1-1-1-111110000000000002-1-1-1-1111100000000
χ2622222222-12222-1-1-1-1-1-1-1-2-22222-1-1-1-10000-2-2-2222211-2-211-1-1-1-11111000000000000-21111-1-1-1-100000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1000022-2-2-2221122111111-1-1-1-1000000000000-2-1-11111-1-100000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-10000-2-2-222-2-21122111111-1-1-1-1000000000000211-1-1-1-11100000000
χ2922-222-2-2-22-22-222-2-2-222-20022-2-2-2-2220000000000000000022-2-2000000002i2i−2i−2i00000000000000002i−2i000
χ3022-222-2-2-22-22-222-2-2-222-20022-2-2-2-2220000000000000000022-2-200000000−2i−2i2i2i0000000000000000−2i2i000
χ3122-222-2-2-22-22-222-2-2-222-200-2-222-2-22200000000000000000-2-222000000002i2i−2i−2i0000000000000000−2i2i000
χ3222-222-2-2-22-22-222-2-2-222-200-2-222-2-22200000000000000000-2-22200000000−2i−2i2i2i00000000000000002i−2i000
χ332-222-2-22-220000-22-2-22-222-22−22−200002i2i−2i−2i00000002-22−2002−22−222−2−2002i−2i0000−i2−i2i2i200000000000000−i2i20
χ342-222-2-22-220000-22-2-22-222-22−22−20000−2i−2i2i2i00000002-22−2002−22−222−2−200−2i2i0000i2i2−i2−i200000000000000i2−i20
χ352-222-2-22-220000-22-2-22-222-2−22−2200002i2i−2i−2i00000002-2−2200−22−22−2−222002i−2i0000i2i2−i2−i200000000000000i2−i20
χ362-222-2-22-220000-22-2-22-222-2−22−220000−2i−2i2i2i00000002-2−2200−22−22−2−22200−2i2i0000−i2−i2i2i200000000000000−i2i20
χ372-222-2-22-220000-22-2-22-22-222−22−200002i2i−2i−2i0000000-22−22002−22−2−2−22200−2i2i0000−i2−i2i2i200000000000000i2−i20
χ382-222-2-22-220000-22-2-22-22-222−22−20000−2i−2i2i2i0000000-22−22002−22−2−2−222002i−2i0000i2i2−i2−i200000000000000−i2i20
χ392-222-2-22-220000-22-2-22-22-22−22−2200002i2i−2i−2i0000000-222−200−22−2222−2−200−2i2i0000i2i2−i2−i200000000000000−i2i20
χ402-222-2-22-220000-22-2-22-22-22−22−220000−2i−2i2i2i0000000-222−200−22−2222−2−2002i−2i0000−i2−i2i2i200000000000000i2−i20
χ412-22-222-2-22-2-222-222-2-22-20000002-22-20000000002i−2i0000000000000000002i−2i2i−2i2-22-200000002i−2i00000000
χ422-22-222-2-22-2-222-222-2-22-20000002-22-20000000002i−2i000000000000000000−2i2i−2i2i-22-2200000002i−2i00000000
χ432-22-222-2-22-2-222-222-2-22-20000002-22-2000000000−2i2i0000000000000000002i−2i2i−2i-22-220000000−2i2i00000000
χ442-22-222-2-22-2-222-222-2-22-20000002-22-2000000000−2i2i000000000000000000−2i2i−2i2i2-22-20000000−2i2i00000000
χ452-2-2-22-22222-2-22-2-2-22-222000000-222-22-22-20002-200000000000000002-2002-2-220000000002-20000000000
χ462-2-2-22-22222-2-22-2-2-22-222000000-222-22-22-2000-2200000000000000002-200-222-2000000000-220000000000
χ472-2-2-22-22222-2-22-2-2-22-222000000-222-2-22-220002-20000000000000000-2200-222-20000000002-20000000000
χ482-2-2-22-22222-2-22-2-2-22-222000000-222-2-22-22000-220000000000000000-22002-2-22000000000-220000000000
χ492-2-2-22-2222-222-2-2-2-22-2220000002-2-222-22-22-20000000000000000000-22000000000002-200000002-200000
χ502-2-2-22-2222-222-2-2-2-22-2220000002-2-222-22-2-220000000000000000000-2200000000000-220000000-2200000
χ512-2-2-22-2222-222-2-2-2-22-2220000002-2-22-22-222-200000000000000000002-2000000000002-20000000-2200000
χ522-2-2-22-2222-222-2-2-2-22-2220000002-2-22-22-22-2200000000000000000002-200000000000-2200000002-200000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-24400002222000000-40000-2-200220000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-400002222000000400002200-2-20000000000000000000000000000000000000
χ55444-4-4-4-444000044-44-4-4-40000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ56444-4-4-4-444000044-44-4-4-400000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ5744-444-4-4-444-44-44-4-4-444-400000044-4-4000000000000000000000000000000000000000000000000000000
χ5844-444-4-4-4-24-44-4-2222-2-22000000-2-22200000000000000000000023−2323−2300000000000000000000000000000
χ5944-444-4-4-4-24-44-4-2222-2-22000000-2-222000000000000000000000−2323−232300000000000000000000000000000
χ6044-444-4-4-4-2-44-44-2222-2-220044-4-422-2-200000000000000000-2-222000000000000000000000000000000000
χ6144-444-4-4-4-2-44-44-2222-2-2200-4-44422-2-20000000000000000022-2-2000000000000000000000000000000000
χ6244-4-4-444-4400004-44-4-4-4400000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ6344-4-4-444-4400004-44-4-4-440000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ644-444-4-44-4-200002-222-22-24-422−2222−22000000000000000-2222−2200−22−22−2−22200000000000000000000000000000
χ654-444-4-44-4-200002-222-22-24-4−2222−2222000000000000000-22−2222002−22−222−2−200000000000000000000000000000
χ664-444-4-44-4-200002-222-22-2-4422−2222−220000000000000002-2−222200−22−2222−2−200000000000000000000000000000
χ674-444-4-44-4-200002-222-22-2-44−2222−22220000000000000002-222−22002−22−2−2−22200000000000000000000000000000
χ684-44-444-4-4444-4-4-444-4-44-4000000-44-44000000000000000000000000000000000000000000000000000000
χ694-44-444-4-4-244-4-42-2-222-220000002-22-2000000000000000000000000000000000000000023−23000000000000
χ704-44-444-4-4-244-4-42-2-222-220000002-22-20000000000000000000000000000000000000000−2323000000000000
χ714-44-444-4-4-2-4-4442-2-222-22000000-22-220000000004i−4i000000000000000000000000000000000−2i2i00000000
χ724-44-444-4-4-2-4-4442-2-222-22000000-22-22000000000−4i4i0000000000000000000000000000000002i−2i00000000
χ734-4-44-44-4440000-4-4444-4-40022−22−222200000000000000000000022−22−2222000000000000000000000000000000000
χ744-4-44-44-4440000-4-4444-4-400−222222−22000000000000000000000−222222−22000000000000000000000000000000000
χ754-4-44-44-44-2000022-2-2-2220022−22−2222000000000000000000023−23−222−26−6−6600000000000000000000000000000
χ764-4-44-44-44-2000022-2-2-2220022−22−22220000000000000000000−2323−222−2−666−600000000000000000000000000000
χ774-4-44-44-44-2000022-2-2-22200−222222−22000000000000000000023−232−2−22−666−600000000000000000000000000000
χ784-4-44-44-44-2000022-2-2-22200−222222−220000000000000000000−23232−2−226−6−6600000000000000000000000000000
χ794-4-4-44-444-24-4-44222-22-2-20000002-2-2200000004-4000000000000000000000000000000000-220000000000
χ804-4-4-44-444-24-4-44222-22-2-20000002-2-220000000-440000000000000000000000000000000002-20000000000
χ814-4-4-44-444-2-444-4222-22-2-2000000-222-200004-400000000000000000000000000000000-2200000000000000
χ824-4-4-44-444-2-444-4222-22-2-2000000-222-20000-44000000000000000000000000000000002-200000000000000
χ83888-8-8-8-88-40000-4-44-44440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-888-8-40000-44-4444-40000000000000000000000000000000000000000000000000000000000000000

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