Finite Group Databasebeta

← Group #74741

Character table — Group #74741

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222222236666666444444446666121212121212121244442466121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1
χ911111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111111-1-11-1
χ1311111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-111-1-111-1-1-11
χ1411111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-111-1-1111-1
χ1511111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1-1-1-1111-1
χ1611111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11111-1-1-11
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
χ19222222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1111111110000-2-211-1-1-1-111000000000000
χ20222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000022-1-11111-1-1000000000000
χ2122222222-2-2-2-2-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100002-2-1-1-1-11111000000000000
χ2222222222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111110000-221111-1-1-1-1000000000000
χ2322222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-10000-2211-1-111-1-1000000000000
χ2422222222-2-2-2-2-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100002-2-1-111-1-111000000000000
χ2522-22-22-2-2000022-2-22-2-22002-200000000000022-2-22i2i−2i−2i0000000000002i−2i00000000
χ2622-22-22-2-2000022-2-22-2-22002-200000000000022-2-2−2i−2i2i2i000000000000−2i2i00000000
χ2722-22-22-2-2000022-2-22-2-2200-22000000000000-2-2222i2i−2i−2i000000000000−2i2i00000000
χ2822-22-22-2-2000022-2-22-2-2200-22000000000000-2-222−2i−2i2i2i0000000000002i−2i00000000
χ2922-2-22-22-222-2-2222-2-22-2-200002i−2i2i−2i22-2-200000000000000002i−2i2i−2i00000000000000
χ3022-2-22-22-222-2-2222-2-22-2-20000−2i2i−2i2i22-2-20000000000000000−2i2i−2i2i00000000000000
χ3122-2-22-22-222-2-2-1-1-111-11100002i−2i2i−2i-1-11133−3−33−33−3000000−i3i3−ii−ii−i3i3000000000000
χ3222-2-22-22-222-2-2-1-1-111-11100002i−2i2i−2i-1-111−3−333−33−33000000i3−i3−ii−iii3−i3000000000000
χ3322-2-22-22-222-2-2-1-1-111-1110000−2i2i−2i2i-1-11133−3−33−33−3000000i3−i3i−ii−ii3−i3000000000000
χ3422-2-22-22-222-2-2-1-1-111-1110000−2i2i−2i2i-1-111−3−333−33−33000000−i3i3i−ii−i−i3i3000000000000
χ3522-2-22-22-2-2-222222-2-22-2-200002i−2i−2i2i-2-22200000000000000002i−2i−2i2i00000000000000
χ3622-2-22-22-2-2-222222-2-22-2-20000−2i2i2i−2i-2-2220000000000000000−2i2i2i−2i00000000000000
χ3722-2-22-22-2-2-222-1-1-111-11100002i−2i−2i2i11-1-133−3−3−33−33000000−i3i3−iii−ii3−i3000000000000
χ3822-2-22-22-2-2-222-1-1-111-11100002i−2i−2i2i11-1-1−3−3333−33−3000000i3−i3−iii−i−i3i3000000000000
χ3922-2-22-22-2-2-222-1-1-111-1110000−2i2i2i−2i11-1-133−3−3−33−33000000i3−i3i−i−ii−i3i3000000000000
χ4022-2-22-22-2-2-222-1-1-111-1110000−2i2i2i−2i11-1-1−3−3333−33−3000000−i3i3i−i−iii3−i3000000000000
χ412-222-2-22-22-22-22-2-22-22-22000000002-22-200000000000000000000000000002i−2i2i−2i00
χ422-222-2-22-22-22-22-2-22-22-22000000002-22-20000000000000000000000000000−2i2i−2i2i00
χ432-222-2-22-2-22-222-2-22-22-2200000000-22-2200000000000000000000000000002i−2i−2i2i00
χ442-222-2-22-2-22-222-2-22-22-2200000000-22-220000000000000000000000000000−2i2i2i−2i00
χ452-22-222-2-200002-2222-2-2-22i−2i00000000002i−2i2i−2i00002i−2i2i−2i00000000002-20000000000
χ462-22-222-2-200002-2222-2-2-22i−2i00000000002i−2i2i−2i0000−2i2i−2i2i0000000000-220000000000
χ472-22-222-2-200002-2222-2-2-2−2i2i0000000000−2i2i−2i2i00002i−2i2i−2i0000000000-220000000000
χ482-22-222-2-200002-2222-2-2-2−2i2i0000000000−2i2i−2i2i0000−2i2i−2i2i00000000002-20000000000
χ492-2-2-2-22222-2-222-2-2-2222-2000000002-2-22000000002-2-22000000000000002-2000000
χ502-2-2-2-22222-2-222-2-2-2222-2000000002-2-2200000000-222-200000000000000-22000000
χ512-2-2-2-2222-222-22-2-2-2222-200000000-222-2000000002-2-2200000000000000-22000000
χ522-2-2-2-2222-222-22-2-2-2222-200000000-222-200000000-222-2000000000000002-2000000
χ53444-4-4-4-44000044-44-4-44-40000000000000000000000000000000000000000000000
χ54444-4-4-4-440000-2-22-222-22000000000000000023−23−232300000000000000000000000000
χ55444-4-4-4-440000-2-22-222-220000000000000000−232323−2300000000000000000000000000
χ5644-44-44-4-40000-2-222-222-2004-4000000000000-2-22200000000000000000000000000
χ5744-44-44-4-40000-2-222-222-200-4400000000000022-2-200000000000000000000000000
χ584-444-4-44-44-44-4-222-22-22-200000000-22-220000000000000000000000000000000000
χ594-444-4-44-4-44-44-222-22-22-2000000002-22-20000000000000000000000000000000000
χ604-44-444-4-40000-22-2-2-22224i−4i0000000000−2i2i−2i2i000000000000000000000000000000
χ614-44-444-4-40000-22-2-2-2222−4i4i00000000002i−2i2i−2i000000000000000000000000000000
χ624-4-444-4-4400004-44-4-4-4440000000000000000000000000000000000000000000000
χ634-4-444-4-440000-22-2222-2-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ644-4-444-4-440000-22-2222-2-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ654-4-4-4-44444-4-44-2222-2-2-2200000000-222-20000000000000000000000000000000000
χ664-4-4-4-4444-444-4-2222-2-2-22000000002-2-220000000000000000000000000000000000

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