Finite Group Databasebeta

← Group #10822446

Character table — Group #10822446

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order1222222222344444444666121212126666661212121212124444444444441212121212121212121212121212121212121212121212122222222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1
χ911111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-11-11-111-1-1
χ1011111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-11-11-1-111
χ1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1111-11-1-1-111
χ1211111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-11-1111-1-1
χ1311111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-11-1-11-1-111
χ1411111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-111-111-111-1-1
χ1511111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-1111-1-1111-1-1
χ1611111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111-1-1-111-1-1-111
χ172222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ192222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000
χ202222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000000000
χ212222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111122-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000
χ222222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111122-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-10000000000000000
χ232222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1111111-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000
χ242222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1111111-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000
χ2522222-2-22-2-222222-2-2-2-222222222-2-2-22-222-2-2-2-200000000000000000000000000000000000022000000-2-2000000
χ2622222-2-22-2-222222-2-2-2-222222222-2-2-22-222-2-2-2-2000000000000000000000000000000000000-2-200000022000000
χ2722222-2-22-2-22-2-2-2-22222222-2-2-2-22-2-2-22-2-2-222220000000000000000000000000000000000002-2000000-22000000
χ2822222-2-22-2-22-2-2-2-22222222-2-2-2-22-2-2-22-2-2-22222000000000000000000000000000000000000-220000002-2000000
χ292222-22-2-22-2222-2-222-2-22222222-22-2-2-22-2-222-2-20000000000000000000000000000000000000022000000-2-20000
χ302222-22-2-22-2222-2-222-2-22222222-22-2-2-22-2-222-2-200000000000000000000000000000000000000-2-2000000220000
χ312222-22-2-22-22-2-222-2-222222-2-2-2-2-22-2-2-2222-2-222000000000000000000000000000000000000002-2000000-220000
χ322222-22-2-22-22-2-222-2-222222-2-2-2-2-22-2-2-2222-2-22200000000000000000000000000000000000000-220000002-20000
χ332222-2-22-2-22222-2-2-2-2222222222-2-222-2-2-2-2-2-2222-22-20000000022-2-222-2-200000000000000000000000000000000
χ342222-2-22-2-22222-2-2-2-2222222222-2-222-2-2-2-2-2-222-22-2200000000-2-222-2-22200000000000000000000000000000000
χ352222-2-22-2-222-2-22222-2-2222-2-2-2-2-2-222-2-22222-2-22-2-220000000022-2-2-2-22200000000000000000000000000000000
χ362222-2-22-2-222-2-22222-2-2222-2-2-2-2-2-222-2-22222-2-2-222-200000000-2-22222-2-200000000000000000000000000000000
χ372222-2-22-2-22-122-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-12-22-200000000-1-111-1-11133−3−333−3−333−3−333−3−30000000000000000
χ382222-2-22-2-22-122-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-12-22-200000000-1-111-1-111−3−333−3−333−3−333−3−3330000000000000000
χ392222-2-22-2-22-122-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-1-22-220000000011-1-111-1-133−3−333−3−3−3−333−3−3330000000000000000
χ402222-2-22-2-22-122-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-1-22-220000000011-1-111-1-1−3−333−3−33333−3−333−3−30000000000000000
χ412222-2-22-2-22-1-2-22222-2-2-1-1-1111111-1-111-1-1-1-1112-2-2200000000-1-11111-1-133−3−3−3−33333−3−3−3−3330000000000000000
χ422222-2-22-2-22-1-2-22222-2-2-1-1-1111111-1-111-1-1-1-1112-2-2200000000-1-11111-1-1−3−33333−3−3−3−33333−3−30000000000000000
χ432222-2-22-2-22-1-2-22222-2-2-1-1-1111111-1-111-1-1-1-111-222-20000000011-1-1-1-11133−3−3−3−333−3−33333−3−30000000000000000
χ442222-2-22-2-22-1-2-22222-2-2-1-1-1111111-1-111-1-1-1-111-222-20000000011-1-1-1-111−3−33333−3−333−3−3−3−3330000000000000000
χ452-2-22222-2-2-222-22-22-22-22-2-222-2-2222-2-2-22-22-22-20000000000000000000000000000000000000000000000002i−2i2i−2i
χ462-2-22222-2-2-222-22-22-22-22-2-222-2-2222-2-2-22-22-22-2000000000000000000000000000000000000000000000000−2i2i−2i2i
χ472-2-22222-2-2-22-22-22-22-222-2-2-2-222222-2-2-2-22-22-220000000000000000000000000000000000000000000000002i−2i−2i2i
χ482-2-22222-2-2-22-22-22-22-222-2-2-2-222222-2-2-2-22-22-22000000000000000000000000000000000000000000000000−2i2i2i−2i
χ492-2-222-2-2-22222-22-2-22-222-2-222-2-22-2-22-222-2-22-22000000002-22-200000000000000002-22-22-22-20000000000000000
χ502-2-222-2-2-22222-22-2-22-222-2-222-2-22-2-22-222-2-22-2200000000-22-220000000000000000-22-22-22-220000000000000000
χ512-2-222-2-2-2222-22-222-22-22-2-2-2-2222-2-22-22-222-22-2000000002-2-2200000000000000002-22-2-22-220000000000000000
χ522-2-222-2-2-2222-22-222-22-22-2-2-2-2222-2-22-22-222-22-200000000-222-20000000000000000-22-222-22-20000000000000000
χ532-2-222-2-2-222-12-22-2-22-22-111-1-111-111-11-1-111-11-1000000002-22-23−33−33−33−33−33−33−33−3-11-11-11-110000000000000000
χ542-2-222-2-2-222-12-22-2-22-22-111-1-111-111-11-1-111-11-1000000002-22-2−33−33−33−33−33−33−33−33-11-11-11-110000000000000000
χ552-2-222-2-2-222-12-22-2-22-22-111-1-111-111-11-1-111-11-100000000-22-223−33−33−33−3−33−33−33−331-11-11-11-10000000000000000
χ562-2-222-2-2-222-12-22-2-22-22-111-1-111-111-11-1-111-11-100000000-22-22−33−33−33−333−33−33−33−31-11-11-11-10000000000000000
χ572-2-222-2-2-222-1-22-222-22-2-11111-1-1-111-11-11-1-11-11000000002-2-223−33−3−33−333−33−3−33−33-11-111-11-10000000000000000
χ582-2-222-2-2-222-1-22-222-22-2-11111-1-1-111-11-11-1-11-11000000002-2-22−33−333−33−3−33−333−33−3-11-111-11-10000000000000000
χ592-2-222-2-2-222-1-22-222-22-2-11111-1-1-111-11-11-1-11-1100000000-222-23−33−3−33−33−33−333−33−31-11-1-11-110000000000000000
χ602-2-222-2-2-222-1-22-222-22-2-11111-1-1-111-11-11-1-11-1100000000-222-2−33−333−33−33−33−3−33−331-11-1-11-110000000000000000
χ612-2-22-22-22-2222-2-222-2-222-2-222-2-2-22-222-2-222-2-2200002-22-20000000000002-2-222-2-22000000000000000000000000
χ622-2-22-22-22-2222-2-222-2-222-2-222-2-2-22-222-2-222-2-220000-22-22000000000000-222-2-222-2000000000000000000000000
χ632-2-22-22-22-222-222-2-222-22-2-2-2-222-22-222-22-2-222-200002-2-220000000000002-2-22-222-2000000000000000000000000
χ642-2-22-22-22-222-222-2-222-22-2-2-2-222-22-222-22-2-222-20000-222-2000000000000-222-22-2-22000000000000000000000000
χ652-2-22-22-22-22-12-2-222-2-22-111-1-1111-11-1-111-1-111-100002-22-200003−3−333−3−33-111-1-111-1−333−3−333−30000000000000000
χ662-2-22-22-22-22-12-2-222-2-22-111-1-1111-11-1-111-1-111-100002-22-20000−333−3−333−3-111-1-111-13−3−333−3−330000000000000000
χ672-2-22-22-22-22-12-2-222-2-22-111-1-1111-11-1-111-1-111-10000-22-2200003−3−333−3−331-1-111-1-113−3−333−3−330000000000000000
χ682-2-22-22-22-22-12-2-222-2-22-111-1-1111-11-1-111-1-111-10000-22-220000−333−3−333−31-1-111-1-11−333−3−333−30000000000000000
χ692-2-22-22-22-22-1-222-2-222-2-11111-1-11-11-1-11-111-1-1100002-2-2200003−3−33−333−3-111-11-1-11−333−33−3−330000000000000000
χ702-2-22-22-22-22-1-222-2-222-2-11111-1-11-11-1-11-111-1-1100002-2-220000−333−33−3−33-111-11-1-113−3−33−333−30000000000000000
χ712-2-22-22-22-22-1-222-2-222-2-11111-1-11-11-1-11-111-1-110000-222-200003−3−33−333−31-1-11-111-13−3−33−333−30000000000000000
χ722-2-22-22-22-22-1-222-2-222-2-11111-1-11-11-1-11-111-1-110000-222-20000−333−33−3−331-1-11-111-1−333−33−3−330000000000000000
χ732-2-22-2-2222-222-2-22-222-22-2-222-2-2-2-22-222-22-222-200000000000000000000000000000000000000002-22-200000000
χ742-2-22-2-2222-222-2-22-222-22-2-222-2-2-2-22-222-22-222-20000000000000000000000000000000000000000-22-2200000000
χ752-2-22-2-2222-22-222-22-2-222-2-2-2-222-2-22-2222-22-2-2200000000000000000000000000000000000000002-2-2200000000
χ762-2-22-2-2222-22-222-22-2-222-2-2-2-222-2-22-2222-22-2-220000000000000000000000000000000000000000-222-200000000
χ7744444-4-44-4-4-24444-4-4-4-4-2-2-2-2-2-2-2-2222-22-2-222220000000000000000000000000000000000000000000000000000
χ7844444-4-44-4-4-2-4-4-4-44444-2-2-22222-2222-2222-2-2-2-20000000000000000000000000000000000000000000000000000
χ794444-44-4-44-4-244-4-444-4-4-2-2-2-2-2-2-22-2222-222-2-2220000000000000000000000000000000000000000000000000000
χ804444-44-4-44-4-2-4-444-4-444-2-2-222222-2222-2-2-222-2-20000000000000000000000000000000000000000000000000000
χ814-4-44444-4-4-4-24-44-44-44-4-222-2-222-2-2-2222-22-22-220000000000000000000000000000000000000000000000000000
χ824-4-44444-4-4-4-2-44-44-44-44-22222-2-2-2-2-22222-22-22-20000000000000000000000000000000000000000000000000000
χ834-4-44-4-4444-4-24-4-44-444-4-222-2-22222-22-2-22-22-2-220000000000000000000000000000000000000000000000000000
χ844-4-44-4-4444-4-2-444-44-4-44-22222-2-222-22-2-2-22-222-20000000000000000000000000000000000000000000000000000
χ8588-8-8000000800000000-88-800000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8000000-4000000004-4443−4343−430000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8000000-4000000004-44−4343−43430000000000000000000000000000000000000000000000000000000000000000
χ888-88-8000000800000000-8-8800000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8000000-40000000044-443−43−43430000000000000000000000000000000000000000000000000000000000000000
χ908-88-8000000-40000000044-4−434343−430000000000000000000000000000000000000000000000000000000000000000

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