Finite Group Databasebeta

← Group #10697419

Character table — Group #10697419

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222444444444444888816161616161616161616161616161616161624242424484848484848
order122234466624444412121212121261212128888882424242424242424242424244444444444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ511111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ611111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ9222222222222-2-2-2-22-2-2-2-2222-2-22-200000000000022-2-20000000000
χ10222222222222-2-2-2-22-2-2-2-2222-2-2-22000000000000-2-2220000000000
χ112222222222-2-22-22-2222-2-22-2-22-2000000000000000000000000002-2
χ122222222222-2-22-22-2222-2-22-2-22-200000000000000000000000000-22
χ132222222222-2-2-22-222-2-2222-2-2-220000000000000000000000002-200
χ142222222222-2-2-22-222-2-2222-2-2-22000000000000000000000000-2200
χ1522222-2-22222-22-2-22-2-2-222-22-22-200002-2000022-2-200000000000000
χ1622222-2-22222-22-2-22-2-2-222-22-22-20000-220000-2-22200000000000000
χ1722222-2-22222-2-222-2-222-2-2-22-2-22002-20022-2-2000000000000000000
χ1822222-2-22222-2-222-2-222-2-2-22-2-2200-2200-2-222000000000000000000
χ1922222-2-2222-2222-2-2-2-2-2-2-2-2-22220000000000000000002i2i−2i−2i000000
χ2022222-2-2222-2222-2-2-2-2-2-2-2-2-2222000000000000000000−2i−2i2i2i000000
χ2122222-2-2222-22-2-222-22222-2-22-2-200000000000000000000002-20000
χ2222222-2-2222-22-2-222-22222-2-22-2-20000000000000000000000-220000
χ232222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111-1-1-1-10000000000
χ252222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1111111110000000000
χ262222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-111110000000000
χ272222-122-1-1-122-2-2-2-2-11111-1-1-1112-200003−33−33−33−3-1-1110000000000
χ282222-122-1-1-122-2-2-2-2-11111-1-1-1112-20000−33−33−33−33-1-1110000000000
χ292222-122-1-1-122-2-2-2-2-11111-1-1-111-2200003−33−3−33−3311-1-10000000000
χ302222-122-1-1-122-2-2-2-2-11111-1-1-111-220000−33−333−33−311-1-10000000000
χ312222-1-2-2-1-1-12-22-2-22111-1-11-11-1100002-23−3−33-1-1113−33−30000000000
χ322222-1-2-2-1-1-12-22-2-22111-1-11-11-1100002-2−333−3-1-111−33−330000000000
χ332222-1-2-2-1-1-12-22-2-22111-1-11-11-110000-223−3−3311-1-1−33−330000000000
χ342222-1-2-2-1-1-12-22-2-22111-1-11-11-110000-22−333−311-1-13−33−30000000000
χ352222-1-2-2-1-1-12-2-222-21-1-1111-111-1002-200-1-1113−3−33−333−30000000000
χ362222-1-2-2-1-1-12-2-222-21-1-1111-111-1002-200-1-111−333−33−3−330000000000
χ372222-1-2-2-1-1-12-2-222-21-1-1111-111-100-220011-1-13−3−333−3−330000000000
χ382222-1-2-2-1-1-12-2-222-21-1-1111-111-100-220011-1-1−333−3−333−30000000000
χ394444-244-2-2-2-4-44-44-4-2-2-222-222-220000000000000000000000000000
χ404444-244-2-2-2-4-4-44-44-222-2-2-2222-20000000000000000000000000000
χ414444-2-4-4-2-2-2-4444-4-42222222-2-2-20000000000000000000000000000
χ424444-2-4-4-2-2-2-44-4-4442-2-2-2-222-2220000000000000000000000000000
χ4344-4-444-44-4-400000040000-400000000000000000000002-22-2000000
χ4444-4-444-44-4-400000040000-40000000000000000000000-22-22000000
χ4544-4-44-444-4-4000000-40000400000000000000000000002i−2i−2i2i000000
χ4644-4-44-444-4-4000000-4000040000000000000000000000−2i2i2i−2i000000
χ4788-8-8-48-8-444000000-40000400000000000000000000000000000000
χ4888-8-8-4-88-44400000040000-400000000000000000000000000000000
χ498-88-8800-88-800000000000000000000000000000000000000000000
χ508-88-8-4004-44000000043−4300000000000000000000000000000000000
χ518-88-8-4004-440000000−434300000000000000000000000000000000000
χ528-8-88800-8-8800000000000000000000000000000000000000000000
χ538-8-88-40044-400000000043−43000000000000000000000000000000000
χ548-8-88-40044-4000000000−4343000000000000000000000000000000000

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