Finite Group Databasebeta

← Group #74700

Character table — Group #74700

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666224444446666121212121212121244442466121212121212222244444424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-1-1-11-1
χ10111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-11111-11
χ11111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-111-1-111-1-1-11
χ12111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1111-1
χ13111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-1-1-111-1-111-11
χ14111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-111-1-11-1
χ15111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-1-1-111111-1
χ16111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1111111-1-1-1-1-11
χ1722222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-2-211-1-1-1-111000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-11111000022-1-11111-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111111100002-2-1-1-1-11111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1111111110000-221111-1-1-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-10000-2211-1-111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-100002-2-1-111-1-111000000000000
χ25222-22-2-2-222i2i−2i−2i22-22-2-2-20000000000002i2i−2i−2i00000000000000000000002-22i−2i0000
χ26222-22-2-2-222i2i−2i−2i22-22-2-2-20000000000002i2i−2i−2i0000000000000000000000-22−2i2i0000
χ27222-22-2-2-22−2i−2i2i2i22-22-2-2-2000000000000−2i−2i2i2i00000000000000000000002-2−2i2i0000
χ28222-22-2-2-22−2i−2i2i2i22-22-2-2-2000000000000−2i−2i2i2i0000000000000000000000-222i−2i0000
χ2922-22-22-2-222i−2i2i−2i2-22-22-2-2002-22i−2i0000002i−2i2i−2i0000000000002-22i−2i00000000000000
χ3022-22-22-2-222i−2i2i−2i2-22-22-2-200-22−2i2i0000002i−2i2i−2i000000000000-22−2i2i00000000000000
χ3122-22-22-2-22−2i2i−2i2i2-22-22-2-2002-2−2i2i000000−2i2i−2i2i0000000000002-2−2i2i00000000000000
χ3222-22-22-2-22−2i2i−2i2i2-22-22-2-200-222i−2i000000−2i2i−2i2i000000000000-222i−2i00000000000000
χ3322-22-22-2-2-12i−2i2i−2i-11-11-111002-22i−2i00−i3−i3i3i3−ii−ii33−3−3000000−i3i3-11−ii3−3000000000000
χ3422-22-22-2-2-12i−2i2i−2i-11-11-111002-22i−2i00i3i3−i3−i3−ii−ii−3−333000000i3−i3-11−ii−33000000000000
χ3522-22-22-2-2-12i−2i2i−2i-11-11-11100-22−2i2i00−i3−i3i3i3−ii−ii33−3−3000000i3−i31-1i−i−33000000000000
χ3622-22-22-2-2-12i−2i2i−2i-11-11-11100-22−2i2i00i3i3−i3−i3−ii−ii−3−333000000−i3i31-1i−i3−3000000000000
χ3722-22-22-2-2-1−2i2i−2i2i-11-11-111002-2−2i2i00−i3−i3i3i3i−ii−i−3−333000000−i3i3-11i−i−33000000000000
χ3822-22-22-2-2-1−2i2i−2i2i-11-11-111002-2−2i2i00i3i3−i3−i3i−ii−i33−3−3000000i3−i3-11i−i3−3000000000000
χ3922-22-22-2-2-1−2i2i−2i2i-11-11-11100-222i−2i00−i3−i3i3i3i−ii−i−3−333000000i3−i31-1−ii3−3000000000000
χ4022-22-22-2-2-1−2i2i−2i2i-11-11-11100-222i−2i00i3i3−i3−i3i−ii−i33−3−3000000−i3i31-1−ii−33000000000000
χ4122-2-2-2-22222-2-222-2-2-2-2220000000000002-2-22000022-2-200000000002-20000000000
χ4222-2-2-2-22222-2-222-2-2-2-2220000000000002-2-220000-2-2220000000000-220000000000
χ4322-2-2-2-2222-222-22-2-2-2-222000000000000-222-2000022-2-20000000000-220000000000
χ4422-2-2-2-2222-222-22-2-2-2-222000000000000-222-20000-2-22200000000002-20000000000
χ452-22-2-22-2220000-2-222-2-220000002-2000000002-22-22-22-20000000000000000002-200
χ462-22-2-22-2220000-2-222-2-220000002-2000000002-22-2-22-22000000000000000000-2200
χ472-22-2-22-2220000-2-222-2-22000000-2200000000-22-222-22-2000000000000000000-2200
χ482-22-2-22-2220000-2-222-2-22000000-2200000000-22-22-22-220000000000000000002-200
χ492-2-222-2-2220000-22-2-22-222-20000002-22-2000000002-2-220000000000002-200000000
χ502-2-222-2-2220000-22-2-22-222-20000002-22-200000000-222-2000000000000-2200000000
χ512-2-222-2-2220000-22-2-22-22-22000000-22-22000000002-2-22000000000000-2200000000
χ522-2-222-2-2220000-22-2-22-22-22000000-22-2200000000-222-20000000000002-200000000
χ53444-44-4-4-4-24i4i−4i−4i-2-22-2222000000000000−2i−2i2i2i000000000000000000000000000000
χ54444-44-4-4-4-2−4i−4i4i4i-2-22-22220000000000002i2i−2i−2i000000000000000000000000000000
χ5544-4-4-4-444-24-4-44-22222-2-2000000000000-222-2000000000000000000000000000000
χ5644-4-4-4-444-2-444-4-22222-2-20000000000002-2-22000000000000000000000000000000
χ574-444-4-44-440000-4-4-4444-40000000000000000000000000000000000000000000000
χ584-444-4-44-4-20000222-2-2-2200000000−2i32i32i3−2i30000000000000000000000000000000000
χ594-444-4-44-4-20000222-2-2-22000000002i3−2i3−2i32i30000000000000000000000000000000000
χ604-44-4-44-44-2000022-2-222-20000004-400000000-22-2200000000000000000000000000
χ614-44-4-44-44-2000022-2-222-2000000-44000000002-22-200000000000000000000000000
χ624-4-444-4-44-200002-222-22-24-4000000-22-220000000000000000000000000000000000
χ634-4-444-4-44-200002-222-22-2-440000002-22-20000000000000000000000000000000000
χ644-4-4-4444-440000-444-4-44-40000000000000000000000000000000000000000000000
χ654-4-4-4444-4-200002-2-222-22000000000000000023−23−232300000000000000000000000000
χ664-4-4-4444-4-200002-2-222-220000000000000000−232323−2300000000000000000000000000

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