Finite Group Databasebeta

← Group #75866

Character table — Group #75866

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666662244444412121212121212121212121222224466121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-1
χ41111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111
χ511111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ611111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-1-1-1-1111-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1111111-1-1-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-111-1-111-1-111-1-1-1-1-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-111-1-111111-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-11111-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-11-1
χ15111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-1-11111-1-11-1
χ16111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1111111-1-1-1-111-11
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
χ1822222222-12222-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1111111110000-2-2-1-11111-1-1000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111100002211-1-1-1-111000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-21111-1-1-1-1111100002-2-1-1-1-11111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-10000-22-1-111-1-111000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-221111-1-1-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-100002-211-1-111-1-1000000000000
χ2522-22-22-2-2200002-222-2-2-20000002i−2i000000002i2i−2i−2i22-2-2000000000000002i−2i000000
χ2622-22-22-2-2200002-222-2-2-20000002i−2i000000002i2i−2i−2i-2-22200000000000000−2i2i000000
χ2722-22-22-2-2200002-222-2-2-2000000−2i2i00000000−2i−2i2i2i22-2-200000000000000−2i2i000000
χ2822-22-22-2-2200002-222-2-2-2000000−2i2i00000000−2i−2i2i2i-2-222000000000000002i−2i000000
χ2922-2-22-22-222i2i−2i−2i-222-22-2-22-2002i−2i002i2i−2i−2i000000000000002-200002i−2i000000000000
χ3022-2-22-22-222i2i−2i−2i-222-22-2-2-2200−2i2i002i2i−2i−2i00000000000000-220000−2i2i000000000000
χ3122-2-22-22-22−2i−2i2i2i-222-22-2-22-200−2i2i00−2i−2i2i2i000000000000002-20000−2i2i000000000000
χ3222-2-22-22-22−2i−2i2i2i-222-22-2-2-22002i−2i00−2i−2i2i2i00000000000000-2200002i−2i000000000000
χ3322-2-22-22-2-12i2i−2i−2i1-1-11-1112-2002i−2i00−i−iii−i3−i3i3i33−33−3000000-11−i3i33−3−ii000000000000
χ3422-2-22-22-2-12i2i−2i−2i1-1-11-1112-2002i−2i00−i−iiii3i3−i3−i3−33−33000000-11i3−i3−33−ii000000000000
χ3522-2-22-22-2-12i2i−2i−2i1-1-11-111-2200−2i2i00−i−iii−i3−i3i3i33−33−30000001-1i3−i3−33i−i000000000000
χ3622-2-22-22-2-12i2i−2i−2i1-1-11-111-2200−2i2i00−i−iiii3i3−i3−i3−33−330000001-1−i3i33−3i−i000000000000
χ3722-2-22-22-2-1−2i−2i2i2i1-1-11-1112-200−2i2i00ii−i−i−i3−i3i3i3−33−33000000-11−i3i3−33i−i000000000000
χ3822-2-22-22-2-1−2i−2i2i2i1-1-11-1112-200−2i2i00ii−i−ii3i3−i3−i33−33−3000000-11i3−i33−3i−i000000000000
χ3922-2-22-22-2-1−2i−2i2i2i1-1-11-111-22002i−2i00ii−i−i−i3−i3i3i3−33−330000001-1i3−i33−3−ii000000000000
χ4022-2-22-22-2-1−2i−2i2i2i1-1-11-111-22002i−2i00ii−i−ii3i3−i3−i33−33−30000001-1−i3i3−33−ii000000000000
χ412-222-2-22-222i−2i2i−2i2-2-2-222-2000000002i−2i2i−2i00000000000000000000002-200002i−2i0000
χ422-222-2-22-222i−2i2i−2i2-2-2-222-2000000002i−2i2i−2i0000000000000000000000-220000−2i2i0000
χ432-222-2-22-22−2i2i−2i2i2-2-2-222-200000000−2i2i−2i2i00000000000000000000002-20000−2i2i0000
χ442-222-2-22-22−2i2i−2i2i2-2-2-222-200000000−2i2i−2i2i0000000000000000000000-2200002i−2i0000
χ452-22-222-2-220000-22-22-22-2002i−2i000000002i−2i2i−2i00002-22-20000000000000000002i−2i00
χ462-22-222-2-220000-22-22-22-2002i−2i000000002i−2i2i−2i0000-22-22000000000000000000−2i2i00
χ472-22-222-2-220000-22-22-22-200−2i2i00000000−2i2i−2i2i00002-22-2000000000000000000−2i2i00
χ482-22-222-2-220000-22-22-22-200−2i2i00000000−2i2i−2i2i0000-22-220000000000000000002i−2i00
χ492-2-2-2-222222-2-22-2-2-222-22000000002-2-22000000002-2-220000000000002-200000000
χ502-2-2-2-222222-2-22-2-2-222-22000000002-2-2200000000-222-2000000000000-2200000000
χ512-2-2-2-22222-222-2-2-2-222-2200000000-222-2000000002-2-22000000000000-2200000000
χ522-2-2-2-22222-222-2-2-2-222-2200000000-222-200000000-222-20000000000002-200000000
χ53444-4-4-4-4440000-4-44-4-4440000000000000000000000000000000000000000000000
χ54444-4-4-4-44-2000022-222-2-20000000000000000−2i32i32i3−2i300000000000000000000000000
χ55444-4-4-4-44-2000022-222-2-200000000000000002i3−2i3−2i32i300000000000000000000000000
χ5644-44-44-4-4-20000-22-2-22220000004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ5744-44-44-4-4-20000-22-2-2222000000−4i4i000000002i2i−2i−2i00000000000000000000000000
χ584-444-4-44-4-24i−4i4i−4i-2222-2-2200000000−2i2i−2i2i0000000000000000000000000000000000
χ594-444-4-44-4-2−4i4i−4i4i-2222-2-22000000002i−2i2i−2i0000000000000000000000000000000000
χ604-44-444-4-4-200002-22-22-22004i−4i00000000−2i2i−2i2i000000000000000000000000000000
χ614-44-444-4-4-200002-22-22-2200−4i4i000000002i−2i2i−2i000000000000000000000000000000
χ624-4-444-4-444000044-4-4-4-440000000000000000000000000000000000000000000000
χ634-4-444-4-44-20000-2-22222-200000000000023−23−2323000000000000000000000000000000
χ644-4-444-4-44-20000-2-22222-2000000000000−232323−23000000000000000000000000000000
χ654-4-4-4-4444-24-4-44222-2-22-200000000-222-20000000000000000000000000000000000
χ664-4-4-4-4444-2-444-4222-2-22-2000000002-2-220000000000000000000000000000000000

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