Finite Group Databasebeta

← Group #70397

Character table — Group #70397

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order124422234446121266688881212128888244466121212121212242424244444882444
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ711111111111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ911-1-11-1-111-111-1-11-1-1ii−i−i11-111-1-11-1i−i11-1-1ii−i−iii−i−iii−i−i1-11-1i−i
χ1011-1-11-1-111-111-1-11-1-1ii−i−i11-111-1-1-11−ii-1-111−i−iiiii−i−iii−i−i1-1-11−ii
χ1111-1-11-1-111-111-1-11-1-1ii−i−i11-1-1-1111-1i−i11-1-1ii−i−iii−i−i−i−iii-11-11−ii
χ1211-1-11-1-111-111-1-11-1-1ii−i−i11-1-1-111-11−ii-1-111−i−iiiii−i−i−i−iii-111-1i−i
χ1311-1-11-1-111-111-1-11-1-1−i−iii11-111-1-11-1−ii11-1-1−i−iii−i−iii−i−iii1-11-1−ii
χ1411-1-11-1-111-111-1-11-1-1−i−iii11-111-1-1-11i−i-1-111ii−i−i−i−iii−i−iii1-1-11i−i
χ1511-1-11-1-111-111-1-11-1-1−i−iii11-1-1-1111-1−ii11-1-1−i−iii−i−iiiii−i−i-11-11i−i
χ1611-1-11-1-111-111-1-11-1-1−i−iii11-1-1-111-11i−i-1-111ii−i−i−i−iiiii−i−i-111-1−ii
χ172222222-1222-1-1-1-1-1-12222-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ182222222-1222-1-1-1-1-1-12222-1-1-10000-2-2-2-211111111-1-1-1-10000000000
χ192222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1000022-2-2-1-1-1-1111111110000000000
χ202222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-10000-2-2221111-1-1-1-111110000000000
χ2122222-2-22-22-22222-2-20000-2-22000000000000000000002i−2i2i−2i000000
χ2222222-2-22-22-22222-2-20000-2-2200000000000000000000−2i2i−2i2i000000
χ232222-22-22-2-22222-22-200002-2-2222200000000000000000000-2-20000
χ242222-22-22-2-22222-22-200002-2-2-2-2-2-200000000000000000000220000
χ252222-2-2222-2-2222-2-222-22-2-22-200000000000000002-22-20000000000
χ262222-2-2222-2-2222-2-22-22-22-22-20000000000000000-22-220000000000
χ272222-2-22-12-2-2-1-1-111-12-22-21-1100000000−i3i3−i3i3−i3i3−i3i3-11-110000000000
χ282222-2-22-12-2-2-1-1-111-12-22-21-1100000000i3−i3i3−i3i3−i3i3−i3-11-110000000000
χ292222-2-22-12-2-2-1-1-111-1-22-221-1100000000−i3i3−i3i3i3−i3i3−i31-11-10000000000
χ302222-2-22-12-2-2-1-1-111-1-22-221-1100000000i3−i3i3−i3−i3i3−i3i31-11-10000000000
χ3122-2-22222-2-2-22-2-22220000-2-2-2000000000000000000002-2-22000000
χ3222-2-22222-2-2-22-2-22220000-2-2-200000000000000000000-222-2000000
χ3322-2-22-2-2-12-22-111-1112i2i−2i−2i-1-1100002-22i−2i-1-111−i−iii−i−iii0000000000
χ3422-2-22-2-2-12-22-111-1112i2i−2i−2i-1-110000-22−2i2i11-1-1ii−i−i−i−iii0000000000
χ3522-2-22-2-2-12-22-111-111−2i−2i2i2i-1-1100002-2−2i2i-1-111ii−i−iii−i−i0000000000
χ3622-2-22-2-2-12-22-111-111−2i−2i2i2i-1-110000-222i−2i11-1-1−i−iiiii−i−i0000000000
χ3722-2-2-22-2222-22-2-2-22-22i−2i−2i2i-22200000000000000002i−2i−2i2i0000000000
χ3822-2-2-22-2222-22-2-2-22-2−2i2i2i−2i-2220000000000000000−2i2i2i−2i0000000000
χ3922-2-2-22-2-122-2-1111-112i−2i−2i2i1-1-100000000−i3i3i3−i33−3−33−iii−i0000000000
χ4022-2-2-22-2-122-2-1111-112i−2i−2i2i1-1-100000000i3−i3−i3i3−333−3−iii−i0000000000
χ4122-2-2-22-2-122-2-1111-11−2i2i2i−2i1-1-100000000−i3i3i3−i3−333−3i−i−ii0000000000
χ4222-2-2-22-2-122-2-1111-11−2i2i2i−2i1-1-100000000i3−i3−i3i33−3−33i−i−ii0000000000
χ4322-2-2-2-222-2222-2-2-2-2200002-2222-2-200000000000000000000-220000
χ4422-2-2-2-222-2222-2-2-2-2200002-22-2-222000000000000000000002-20000
χ4544444-4-4-2-44-4-2-2-2-222000022-2000000000000000000000000000000
χ464444-44-4-2-4-44-2-2-22-220000-222000000000000000000000000000000
χ4744-4-4444-2-4-4-4-222-2-2-20000222000000000000000000000000000000
χ4844-4-4-4-44-2-444-22222-20000-22-2000000000000000000000000000000
χ494-44i−4i0004000-44i−4i000000000022−22−2i22i200000000000000000000000000
χ504-44i−4i0004000-44i−4i0000000000−22222i2−2i200000000000000000000000000
χ514-4−4i4i0004000-4−4i4i000000000022−222i2−2i200000000000000000000000000
χ524-4−4i4i0004000-4−4i4i0000000000−2222−2i22i200000000000000000000000000
χ538-88i−8i000-40004−4i4i0000000000000000000000000000000000000000
χ548-8−8i8i000-400044i−4i0000000000000000000000000000000000000000

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