Finite Group Databasebeta

← Group #74413

Character table — Group #74413

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order1222222222223666666644444444666612121212121212122222441212121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ911111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-11111-1-1-1-11-1
χ1011111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-11111-11
χ1111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-1-1-111-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-111-1-11-1
χ1311111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-111-1-111-1-1-11
χ1411111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-111-1-1111-1
χ1511111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111111-1
χ1611111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1111111-1-1-1-1-11
χ17222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ18222222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ19222222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1111111110000-2-2-1-1-1-11111000000000000
χ20222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000221111-1-1-1-1000000000000
χ2122222222-2-2-2-2-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100002-2-1-111-1-111000000000000
χ2222222222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111110000-2211-1-111-1-1000000000000
χ2322222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-10000-22-1-11111-1-1000000000000
χ2422222222-2-2-2-2-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100002-211-1-1-1-111000000000000
χ252222-2-2-2-222-2-22222-2-2-2-20000000022-2-20000000022-2-200000000002-20000000000
χ262222-2-2-2-222-2-22222-2-2-2-20000000022-2-200000000-2-2220000000000-220000000000
χ272222-2-2-2-2-2-2222222-2-2-2-200000000-2-2220000000022-2-20000000000-220000000000
χ282222-2-2-2-2-2-2222222-2-2-2-200000000-2-22200000000-2-22200000000002-20000000000
χ2922-2-222-2-22-22-222-2-22-2-22000000002-22-20000000000000000000000002i−2i00002i−2i00
χ3022-2-222-2-22-22-222-2-22-2-22000000002-22-2000000000000000000000000−2i2i0000−2i2i00
χ3122-2-222-2-2-22-2222-2-22-2-2200000000-22-220000000000000000000000002i−2i0000−2i2i00
χ3222-2-222-2-2-22-2222-2-22-2-2200000000-22-22000000000000000000000000−2i2i00002i−2i00
χ3322-2-2-2-2222-2-2222-2-2-222-200002-22-22-2-22000000000000002-22-20000000000000000
χ3422-2-2-2-2222-2-2222-2-2-222-20000-22-222-2-2200000000000000-22-220000000000000000
χ3522-2-2-2-2222-2-22-1-1111-1-1100002-22-2-111-133−3−333−3−3000000-11-113−33−3000000000000
χ3622-2-2-2-2222-2-22-1-1111-1-1100002-22-2-111-1−3−333−3−333000000-11-11−33−33000000000000
χ3722-2-2-2-2222-2-22-1-1111-1-110000-22-22-111-133−3−333−3−30000001-11-1−33−33000000000000
χ3822-2-2-2-2222-2-22-1-1111-1-110000-22-22-111-1−3−333−3−3330000001-11-13−33−3000000000000
χ3922-2-2-2-222-222-222-2-2-222-200002-2-22-222-2000000000000002-2-220000000000000000
χ4022-2-2-2-222-222-222-2-2-222-20000-222-2-222-200000000000000-222-20000000000000000
χ4122-2-2-2-222-222-2-1-1111-1-1100002-2-221-1-1133−3−3−3−333000000-111-13−3−33000000000000
χ4222-2-2-2-222-222-2-1-1111-1-1100002-2-221-1-11−3−33333−3−3000000-111-1−333−3000000000000
χ4322-2-2-2-222-222-2-1-1111-1-110000-222-21-1-1133−3−3−3−3330000001-1-11−333−3000000000000
χ4422-2-2-2-222-222-2-1-1111-1-110000-222-21-1-11−3−33333−3−30000001-1-113−3−33000000000000
χ452-22-22-22-200002-22-222-2-2002i−2i0000000000002i−2i2i−2i2-22-200000000000000002i−2i0000
χ462-22-22-22-200002-22-222-2-2002i−2i0000000000002i−2i2i−2i-22-220000000000000000−2i2i0000
χ472-22-22-22-200002-22-222-2-200−2i2i000000000000−2i2i−2i2i2-22-20000000000000000−2i2i0000
χ482-22-22-22-200002-22-222-2-200−2i2i000000000000−2i2i−2i2i-22-2200000000000000002i−2i0000
χ492-22-2-22-2200002-22-2-2-2222-200000000002-22-200002-2-22000000000000002-2000000
χ502-22-2-22-2200002-22-2-2-2222-200000000002-22-20000-222-200000000000000-22000000
χ512-22-2-22-2200002-22-2-2-222-220000000000-22-2200002-2-2200000000000000-22000000
χ522-22-2-22-2200002-22-2-2-222-220000000000-22-220000-222-2000000000000002-2000000
χ534444-4-4-4-444-4-4-2-2-2-2222200000000-2-2220000000000000000000000000000000000
χ544444-4-4-4-4-4-444-2-2-2-222220000000022-2-20000000000000000000000000000000000
χ5544-4-444-4-44-44-4-2-222-222-200000000-22-220000000000000000000000000000000000
χ5644-4-444-4-4-44-44-2-222-222-2000000002-22-20000000000000000000000000000000000
χ574-44-44-44-40000-22-22-2-222004i−4i000000000000−2i2i−2i2i00000000000000000000000000
χ584-44-44-44-40000-22-22-2-22200−4i4i0000000000002i−2i2i−2i00000000000000000000000000
χ594-44-4-44-440000-22-2222-2-24-40000000000-22-22000000000000000000000000000000
χ604-44-4-44-440000-22-2222-2-2-4400000000002-22-2000000000000000000000000000000
χ614-4-444-4-4400004-4-444-44-40000000000000000000000000000000000000000000000
χ624-4-444-4-440000-222-2-22-2200000000000023−23−2323000000000000000000000000000000
χ634-4-444-4-440000-222-2-22-22000000000000−232323−23000000000000000000000000000000
χ644-4-44-444-400004-4-44-44-440000000000000000000000000000000000000000000000
χ654-4-44-444-40000-222-22-22-20000000000000000−2i32i32i3−2i300000000000000000000000000
χ664-4-44-444-40000-222-22-22-200000000000000002i3−2i3−2i32i300000000000000000000000000

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