Finite Group Databasebeta

← Group #70039

Character table — Group #70039

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order124422234446121222446661212124444444466121212121212121212124444448888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ711111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ91111-1-1111-1-11111-11-11-1-11-1-11111i−ii−i1-11-1ii−i−iii−i−i-1-111-1-1i−ii−i
χ101111-1-1111-1-11111-11-11-1-11-1-11111−ii−ii1-11-1−i−iii−i−iii-1-111-1-1−ii−ii
χ111111-1-1111-1-11111-11-11-1-11-1-1-1-1-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111−ii−ii
χ121111-1-1111-1-11111-11-11-1-11-1-1-1-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111i−ii−i
χ131111-1-1111-1-1111-11-111-1-11-1-11111i−i−ii-11-11ii−i−i−i−iii-1-1-1-111i−i−ii
χ141111-1-1111-1-1111-11-111-1-11-1-11111−iii−i-11-11−i−iiiii−i−i-1-1-1-111−iii−i
χ151111-1-1111-1-1111-11-111-1-11-1-1-1-1-1-1i−i−ii-11-11ii−i−i−i−iii1111-1-1−iii−i
χ161111-1-1111-1-1111-11-111-1-11-1-1-1-1-1-1−iii−i-11-11−i−iiiii−i−i1111-1-1i−i−ii
χ172222222-1222-1-1-12222-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ182222222-1222-1-1-12222-1-1-1-1-1-10000-2-2-2-2-1-1-1-1111111110000000000
χ192222222-1222-1-1-1-2-2-2-2-1-1-1-1-1-1000022-2-21111-1-1-1-111110000000000
χ202222222-1222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-22211111111-1-1-1-10000000000
χ2122222-2-22-22-22220000-22-2-22-200000000000000000000002i−2i2i−2i0000
χ2222222-2-22-22-22220000-22-2-22-20000000000000000000000−2i2i−2i2i0000
χ232222-22-22-2-222220000-2-22-2-2200000000000000000000002i−2i−2i2i0000
χ242222-22-22-2-222220000-2-22-2-220000000000000000000000−2i2i2i−2i0000
χ252222-2-22-12-2-2-1-1-12-22-2-111-11100002i−2i2i−2i-11-11−i−iii−i−iii0000000000
χ262222-2-22-12-2-2-1-1-12-22-2-111-1110000−2i2i−2i2i-11-11ii−i−iii−i−i0000000000
χ272222-2-22-12-2-2-1-1-1-22-22-111-11100002i−2i−2i2i1-11-1−i−iiiii−i−i0000000000
χ282222-2-22-12-2-2-1-1-1-22-22-111-1110000−2i2i2i−2i1-11-1ii−i−i−i−iii0000000000
χ2922-2-22222-2-2-22-2-22-2-22222-2-2-2000000002-2-22000000000000000000
χ3022-2-22222-2-2-22-2-2-222-2222-2-2-200000000-222-2000000000000000000
χ3122-2-2222-1-2-2-2-1112-2-22-1-1-111100000000-111-1−i3i3−i3i3−i3i3−i3i30000000000
χ3222-2-2222-1-2-2-2-1112-2-22-1-1-111100000000-111-1i3−i3i3−i3i3−i3i3−i30000000000
χ3322-2-2222-1-2-2-2-111-222-2-1-1-1111000000001-1-11−i3i3−i3i3i3−i3i3−i30000000000
χ3422-2-2222-1-2-2-2-111-222-2-1-1-1111000000001-1-11i3−i3i3−i3−i3i3−i3i30000000000
χ3522-2-22-2-222-222-2-20000-22-22-222i2i−2i−2i00000000000000002i−2i00000000
χ3622-2-22-2-222-222-2-20000-22-22-22−2i−2i2i2i0000000000000000−2i2i00000000
χ3722-2-2-22-2222-22-2-20000-2-2222-22i2i−2i−2i0000000000000000−2i2i00000000
χ3822-2-2-22-2222-22-2-20000-2-2222-2−2i−2i2i2i00000000000000002i−2i00000000
χ3922-2-2-2-222-2222-2-222-2-22-2-2-2220000000022-2-2000000000000000000
χ4022-2-2-2-222-2222-2-2-2-2222-2-2-22200000000-2-222000000000000000000
χ4122-2-2-2-22-1-222-11122-2-2-1111-1-100000000-1-1113−3−333−3−330000000000
χ4222-2-2-2-22-1-222-11122-2-2-1111-1-100000000-1-111−333−3−333−30000000000
χ4322-2-2-2-22-1-222-111-2-222-1111-1-10000000011-1-13−3−33−333−30000000000
χ4422-2-2-2-22-1-222-111-2-222-1111-1-10000000011-1-1−333−33−3−330000000000
χ4544444-4-4-2-44-4-2-2-200002-222-22000000000000000000000000000000
χ464444-44-4-2-4-44-2-2-2000022-222-2000000000000000000000000000000
χ4744-4-44-4-4-24-44-22200002-22-22-2000000000000000000000000000000
χ4844-4-4-44-4-244-4-222000022-2-2-22000000000000000000000000000000
χ494-44i−4i0004000-44i−4i00000000002+2i−2−2i2−2i−2+2i00000000000000000000000000
χ504-44i−4i0004000-44i−4i0000000000−2−2i2+2i−2+2i2−2i00000000000000000000000000
χ514-4−4i4i0004000-4−4i4i00000000002−2i−2+2i2+2i−2−2i00000000000000000000000000
χ524-4−4i4i0004000-4−4i4i0000000000−2+2i2−2i−2−2i2+2i00000000000000000000000000
χ538-88i−8i000-40004−4i4i0000000000000000000000000000000000000000
χ548-8−8i8i000-400044i−4i0000000000000000000000000000000000000000

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