Finite Group Databasebeta

← Group #68713

Character table — Group #68713

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112222222222244444444448888888888888888121212121212121224242424
order12222344446121266688881212124444121212121212121224242424224488882244
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ9111-1-1111-1-1111-11-1ii−i−i1-1-11-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i
χ10111-1-1111-1-1111-11-1ii−i−i1-1-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii
χ11111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i11-1-1ii−i−i-11−ii
χ12111-1-1111-1-1111-11-1ii−i−i1-1-1-11−ii-1-111−i−iiiii−i−i-1-111−i−iii1-1i−i
χ13111-1-1111-1-1111-11-1−i−iii1-1-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii
χ14111-1-1111-1-1111-11-1−i−iii1-1-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i
χ15111-1-1111-1-1111-11-1−i−iii1-1-1-11i−i-1-111ii−i−i−i−iii11-1-1−i−iii-11i−i
χ16111-1-1111-1-1111-11-1−i−iii1-1-1-11i−i-1-111ii−i−i−i−iii-1-111ii−i−i1-1−ii
χ17222222-2-2-2-22-2-22220000-2-2-200000000000000002-22-200000000
χ18222222-2-2-2-22-2-22220000-2-2-20000000000000000-22-2200000000
χ1922222-12222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2022222-12222-1-1-1-1-1-12222-1-1-1-2-2-2-211111111-1-1-1-1000000000000
χ2122222-12222-1-1-1-1-1-1-2-2-2-2-1-1-122-2-2-1-1-1-111111111000000000000
χ2222222-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-2221111-1-1-1-11111000000000000
χ23222-2-22-2-2222-2-2-22-20000-22200000000000000002-2-2200000000
χ24222-2-22-2-2222-2-2-22-20000-2220000000000000000-222-200000000
χ25222-2-2-122-2-2-1-1-11-112i2i−2i−2i-1112-22i−2i-1-111−i−iii−i−iii000000000000
χ26222-2-2-122-2-2-1-1-11-112i2i−2i−2i-111-22−2i2i11-1-1ii−i−i−i−iii000000000000
χ27222-2-2-122-2-2-1-1-11-11−2i−2i2i2i-1112-2−2i2i-1-111ii−i−iii−i−i000000000000
χ28222-2-2-122-2-2-1-1-11-11−2i−2i2i2i-111-222i−2i11-1-1−i−iiiii−i−i000000000000
χ2922-22-222-22-2222-2-222i−2i2i−2i-22-20000000000002i−2i2i−2i000000000000
χ3022-22-222-22-2222-2-22−2i2i−2i2i-22-2000000000000−2i2i−2i2i000000000000
χ3122-22-22-22-222-2-2-2-2200002-22000000000000000000002-22-20000
χ3222-22-22-22-222-2-2-2-2200002-2200000000000000000000-22-220000
χ3322-22-2-12-22-2-1-1-111-12i−2i2i−2i1-1100003−33−3−i3i3−i3i3−ii−ii000000000000
χ3422-22-2-12-22-2-1-1-111-12i−2i2i−2i1-110000−33−33i3−i3i3−i3−ii−ii000000000000
χ3522-22-2-12-22-2-1-1-111-1−2i2i−2i2i1-1100003−33−3i3−i3i3−i3i−ii−i000000000000
χ3622-22-2-12-22-2-1-1-111-1−2i2i−2i2i1-110000−33−33−i3i3−i3i3i−ii−i000000000000
χ3722-2-2222-2-222222-2-22-2-22-2-220000000000002-2-22000000000000
χ3822-2-2222-2-222222-2-2-222-2-2-22000000000000-222-2000000000000
χ3922-2-222-222-22-2-22-2-2000022-2000000000000000000002i−2i−2i2i0000
χ4022-2-222-222-22-2-22-2-2000022-200000000000000000000−2i2i2i−2i0000
χ4122-2-22-12-2-22-1-1-1-1112-2-2211-100003−3−33−333−3-111-1000000000000
χ4222-2-22-12-2-22-1-1-1-1112-2-2211-10000−333−33−3−33-111-1000000000000
χ4322-2-22-12-2-22-1-1-1-111-222-211-100003−3−333−3−331-1-11000000000000
χ4422-2-22-12-2-22-1-1-1-111-222-211-10000−333−3−333−31-1-11000000000000
χ4544444-2-4-4-4-4-222-2-2-200002220000000000000000000000000000
χ46444-4-4-2-4-444-2222-2200002-2-20000000000000000000000000000
χ4744-44-4-2-44-44-22222-20000-22-20000000000000000000000000000
χ4844-4-44-2-444-4-222-2220000-2-220000000000000000000000000000
χ498-800080000-80000000000000000000000000000000000000000
χ508-8000-40000443−4300000000000000000000000000000000000000
χ518-8000-400004−434300000000000000000000000000000000000000

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