Finite Group Databasebeta

← Group #75557

Character table — Group #75557

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666662244444412121212121212121212121244444466121212121212444444444424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-111-1-111-11
χ10111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-111-1-11-1
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-1-11-1
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-11
χ13111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-1-1-111111-1
χ14111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1-11
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1-1-11
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-1111-1
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-10000-2-2-1-1-1-11111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-10000221111-1-1-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111111100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111110000-22-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1111111110000-2211-1-111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1111100002-211-1-1-1-111000000000000
χ25222-22-2-2-2222-2-2-2-222-2-22000000000000000022-2-20000000000000000002i−2i2i−2i0000
χ26222-22-2-2-2222-2-2-2-222-2-22000000000000000022-2-2000000000000000000−2i2i−2i2i0000
χ27222-22-2-2-22-2-222-2-222-2-220000000000000000-2-2220000000000000000002i−2i−2i2i0000
χ28222-22-2-2-22-2-222-2-222-2-220000000000000000-2-222000000000000000000−2i2i2i−2i0000
χ2922-22-2-2-2222i−2i2i−2i2-22-22-2-200000000000000002i−2i2i−2i2i2i−2i−2i00000000002-20000000000
χ3022-22-2-2-2222i−2i2i−2i2-22-22-2-200000000000000002i−2i2i−2i−2i−2i2i2i0000000000-220000000000
χ3122-22-2-2-222−2i2i−2i2i2-22-22-2-20000000000000000−2i2i−2i2i2i2i−2i−2i0000000000-220000000000
χ3222-22-2-2-222−2i2i−2i2i2-22-22-2-20000000000000000−2i2i−2i2i−2i−2i2i2i00000000002-20000000000
χ3322-2-2-222-222i−2i−2i2i-222-2-22-22-22i−2i0000000000002i−2i−2i2i0000002-22i−2i0000000000000000
χ3422-2-2-222-222i−2i−2i2i-222-2-22-2-22−2i2i0000000000002i−2i−2i2i000000-22−2i2i0000000000000000
χ3522-2-2-222-22−2i2i2i−2i-222-2-22-22-2−2i2i000000000000−2i2i2i−2i0000002-2−2i2i0000000000000000
χ3622-2-2-222-22−2i2i2i−2i-222-2-22-2-222i−2i000000000000−2i2i2i−2i000000-222i−2i0000000000000000
χ3722-2-2-222-2-12i−2i−2i2i1-1-111-112-22i−2i0000−i3−i3i3i333−3−3−iii−i000000-11−ii−i3i33−3000000000000
χ3822-2-2-222-2-12i−2i−2i2i1-1-111-112-22i−2i0000i3i3−i3−i3−3−333−iii−i000000-11−iii3−i3−33000000000000
χ3922-2-2-222-2-12i−2i−2i2i1-1-111-11-22−2i2i0000−i3−i3i3i333−3−3−iii−i0000001-1i−ii3−i3−33000000000000
χ4022-2-2-222-2-12i−2i−2i2i1-1-111-11-22−2i2i0000i3i3−i3−i3−3−333−iii−i0000001-1i−i−i3i33−3000000000000
χ4122-2-2-222-2-1−2i2i2i−2i1-1-111-112-2−2i2i0000−i3−i3i3i3−3−333i−i−ii000000-11i−i−i3i3−33000000000000
χ4222-2-2-222-2-1−2i2i2i−2i1-1-111-112-2−2i2i0000i3i3−i3−i333−3−3i−i−ii000000-11i−ii3−i33−3000000000000
χ4322-2-2-222-2-1−2i2i2i−2i1-1-111-11-222i−2i0000−i3−i3i3i3−3−333i−i−ii0000001-1−iii3−i33−3000000000000
χ4422-2-2-222-2-1−2i2i2i−2i1-1-111-11-222i−2i0000i3i3−i3−i333−3−3i−i−ii0000001-1−ii−i3i3−33000000000000
χ452-222-2-22-22000022-2-2-2-2200002i−2i002i−2i2i−2i000000002-22-20000000000000000002i−2i00
χ462-222-2-22-22000022-2-2-2-2200002i−2i002i−2i2i−2i00000000-22-22000000000000000000−2i2i00
χ472-222-2-22-22000022-2-2-2-220000−2i2i00−2i2i−2i2i000000002-22-2000000000000000000−2i2i00
χ482-222-2-22-22000022-2-2-2-220000−2i2i00−2i2i−2i2i00000000-22-220000000000000000002i−2i00
χ492-2-2222-2-2200002-2-22-22-20000002i−2i00002i−2i2i−2i00002i−2i−2i2i0000000000002-200000000
χ502-2-2222-2-2200002-2-22-22-20000002i−2i00002i−2i2i−2i0000−2i2i2i−2i000000000000-2200000000
χ512-2-2222-2-2200002-2-22-22-2000000−2i2i0000−2i2i−2i2i00002i−2i−2i2i000000000000-2200000000
χ522-2-2222-2-2200002-2-22-22-2000000−2i2i0000−2i2i−2i2i0000−2i2i2i−2i0000000000002-200000000
χ53444-44-4-4-4-244-4-422-2-222-20000000000000000-2-22200000000000000000000000000
χ54444-44-4-4-4-2-4-44422-2-222-2000000000000000022-2-200000000000000000000000000
χ5544-44-4-4-44-24i−4i4i−4i-22-22-2220000000000000000−2i2i−2i2i00000000000000000000000000
χ5644-44-4-4-44-2−4i4i−4i4i-22-22-22200000000000000002i−2i2i−2i00000000000000000000000000
χ574-444-4-44-4-20000-2-22222-200004i−4i00−2i2i−2i2i0000000000000000000000000000000000
χ584-444-4-44-4-20000-2-22222-20000−4i4i002i−2i2i−2i0000000000000000000000000000000000
χ594-44-4-44-4440000-4-4-4-44440000000000000000000000000000000000000000000000
χ604-44-4-44-44-200002222-2-2-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ614-44-4-44-44-200002222-2-2-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ624-4-4444-4-4-20000-222-22-220000004i−4i0000−2i2i−2i2i000000000000000000000000000000
χ634-4-4444-4-4-20000-222-22-22000000−4i4i00002i−2i2i−2i000000000000000000000000000000
χ644-4-4-44-44440000-44-444-4-40000000000000000000000000000000000000000000000
χ654-4-4-44-444-200002-22-2-2220000000023−23−23230000000000000000000000000000000000
χ664-4-4-44-444-200002-22-2-22200000000−232323−230000000000000000000000000000000000

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