Finite Group Databasebeta

← Group #75007

Character table — Group #75007

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212222244444424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-1-1-111-1-111-11
χ10111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-111-1-11-1
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-111-1-1-1-1111-1
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-11
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-111-1-1-1-11-1
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-11111-11
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-1-1-1-11
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11111111-1
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000-2-2-1-111-1-111000000000000
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
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111100002211-1-111-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100002-2-1-1-1-11111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-10000-22-1-11111-1-1000000000000
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
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100002-211-1-1-1-111000000000000
χ25222-2-22-2-222i2i−2i−2i2-22-2-22-2000000002i2i−2i−2i00000000000000000000002-20000002i−2i00
χ26222-2-22-2-222i2i−2i−2i2-22-2-22-2000000002i2i−2i−2i0000000000000000000000-22000000−2i2i00
χ27222-2-22-2-22−2i−2i2i2i2-22-2-22-200000000−2i−2i2i2i00000000000000000000002-2000000−2i2i00
χ28222-2-22-2-22−2i−2i2i2i2-22-2-22-200000000−2i−2i2i2i0000000000000000000000-220000002i−2i00
χ2922-22-2-22-222i−2i2i−2i2-2-22-2-222-22i−2i00002i−2i2i−2i000000000000002-2002i−2i00000000000000
χ3022-22-2-22-222i−2i2i−2i2-2-22-2-22-22−2i2i00002i−2i2i−2i00000000000000-2200−2i2i00000000000000
χ3122-22-2-22-22−2i2i−2i2i2-2-22-2-222-2−2i2i0000−2i2i−2i2i000000000000002-200−2i2i00000000000000
χ3222-22-2-22-22−2i2i−2i2i2-2-22-2-22-222i−2i0000−2i2i−2i2i00000000000000-22002i−2i00000000000000
χ3322-22-2-22-2-12i−2i2i−2i-111-111-12-22i−2i0000−ii−ii33−3−3−i3−i3i3i3000000-113−3−ii−i3i3000000000000
χ3422-22-2-22-2-12i−2i2i−2i-111-111-12-22i−2i0000−ii−ii−3−333i3i3−i3−i3000000-11−33−iii3−i3000000000000
χ3522-22-2-22-2-12i−2i2i−2i-111-111-1-22−2i2i0000−ii−ii33−3−3−i3−i3i3i30000001-1−33i−ii3−i3000000000000
χ3622-22-2-22-2-12i−2i2i−2i-111-111-1-22−2i2i0000−ii−ii−3−333i3i3−i3−i30000001-13−3i−i−i3i3000000000000
χ3722-22-2-22-2-1−2i2i−2i2i-111-111-12-2−2i2i0000i−ii−i33−3−3i3i3−i3−i3000000-113−3i−ii3−i3000000000000
χ3822-22-2-22-2-1−2i2i−2i2i-111-111-12-2−2i2i0000i−ii−i−3−333−i3−i3i3i3000000-11−33i−i−i3i3000000000000
χ3922-22-2-22-2-1−2i2i−2i2i-111-111-1-222i−2i0000i−ii−i33−3−3i3i3−i3−i30000001-1−33−ii−i3i3000000000000
χ4022-22-2-22-2-1−2i2i−2i2i-111-111-1-222i−2i0000i−ii−i−3−333−i3−i3i3i30000001-13−3−iii3−i3000000000000
χ4122-2-22-2-2222-2-2222-2-22-2-2000000002-2-22000000002i2i−2i−2i00000000000000002i−2i0000
χ4222-2-22-2-2222-2-2222-2-22-2-2000000002-2-2200000000−2i−2i2i2i0000000000000000−2i2i0000
χ4322-2-22-2-222-222-222-2-22-2-200000000-222-2000000002i2i−2i−2i0000000000000000−2i2i0000
χ4422-2-22-2-222-222-222-2-22-2-200000000-222-200000000−2i−2i2i2i00000000000000002i−2i0000
χ452-2222-2-2-220000-2-2222-2-20000002i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000002-200000000
χ462-2222-2-2-220000-2-2222-2-20000002i−2i000000002i−2i2i−2i−2i2i−2i2i000000000000-2200000000
χ472-2222-2-2-220000-2-2222-2-2000000−2i2i00000000−2i2i−2i2i2i−2i2i−2i000000000000-2200000000
χ482-2222-2-2-220000-2-2222-2-2000000−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000002-200000000
χ492-2-2-2222-220000-2-2-2-222200002-20000002-22-200002-2-22000000000000002-2000000
χ502-2-2-2222-220000-2-2-2-222200002-20000002-22-20000-222-200000000000000-22000000
χ512-2-2-2222-220000-2-2-2-22220000-22000000-22-2200002-2-2200000000000000-22000000
χ522-2-2-2222-220000-2-2-2-22220000-22000000-22-220000-222-2000000000000002-2000000
χ53444-4-44-4-4-24i4i−4i−4i-22-222-2200000000−2i−2i2i2i0000000000000000000000000000000000
χ54444-4-44-4-4-2−4i−4i4i4i-22-222-22000000002i2i−2i−2i0000000000000000000000000000000000
χ5544-4-44-4-44-24-4-44-2-222-22200000000-222-20000000000000000000000000000000000
χ5644-4-44-4-44-2-444-4-2-222-222000000002-2-220000000000000000000000000000000000
χ574-4444-4-4-4-2000022-2-2-2220000004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ584-4444-4-4-4-2000022-2-2-222000000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ594-44-4-4-44440000-444-4-4-440000000000000000000000000000000000000000000000
χ604-44-4-4-444-200002-2-2222-200000000000023−23−2323000000000000000000000000000000
χ614-44-4-4-444-200002-2-2222-2000000000000−232323−23000000000000000000000000000000
χ624-4-44-44-4440000-44-44-44-40000000000000000000000000000000000000000000000
χ634-4-44-44-44-200002-22-22-22000000000000000023−23−232300000000000000000000000000
χ644-4-44-44-44-200002-22-22-220000000000000000−232323−2300000000000000000000000000
χ654-4-4-4444-4-200002222-2-2-200004-4000000-22-22000000000000000000000000000000
χ664-4-4-4444-4-200002222-2-2-20000-440000002-22-2000000000000000000000000000000

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