Finite Group Databasebeta

← Group #69017

Character table — Group #69017

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order12442223444612126668888121212444444881212121224242424242424244488884488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ611111111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ711111111111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ811111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ91111-11-11-11-11111-1-111-1-11-1-11111i−ii−iii−i−i11-1-1ii−i−i-1-111-1-1i−ii−i
χ101111-11-11-11-11111-1-111-1-11-1-11111−ii−ii−i−iii11-1-1−i−iii-1-111-1-1−ii−ii
χ111111-11-11-11-11111-1-111-1-11-1-1-1-1-1-1i−ii−iii−i−i11-1-1ii−i−i11-1-111−ii−ii
χ121111-11-11-11-11111-1-111-1-11-1-1-1-1-1-1−ii−ii−i−iii11-1-1−i−iii11-1-111i−ii−i
χ131111-11-11-11-11111-1-1-1-1111-1-11111i−i−iiii−i−i-1-111−i−iii-1-1-1-111−iii−i
χ141111-11-11-11-11111-1-1-1-1111-1-11111−iii−i−i−iii-1-111ii−i−i-1-1-1-111i−i−ii
χ151111-11-11-11-11111-1-1-1-1111-1-1-1-1-1-1i−i−iiii−i−i-1-111−i−iii1111-1-1i−i−ii
χ161111-11-11-11-11111-1-1-1-1111-1-1-1-1-1-1−iii−i−i−iii-1-111ii−i−i1111-1-1−iii−i
χ172222222-1222-1-1-1-1-1-12222-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ182222222-1222-1-1-1-1-1-12222-1-1-10000-2-2-2-21111-1-1-1-111110000000000
χ192222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1000022-2-2-1-1-1-1111111110000000000
χ202222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-10000-2-22211111111-1-1-1-10000000000
χ2122222-2-22-2-22222-2-220000-22-200000000000000000000002i−2i2i−2i0000
χ2222222-2-22-2-22222-2-220000-22-20000000000000000000000−2i2i−2i2i0000
χ232222-22-2-1-22-2-1-1-1-11122-2-2-11100002i−2i2i−2i−i−iii-1-111−i−iii0000000000
χ242222-22-2-1-22-2-1-1-1-11122-2-2-1110000−2i2i−2i2iii−i−i-1-111ii−i−i0000000000
χ252222-22-2-1-22-2-1-1-1-111-2-222-11100002i−2i−2i2i−i−iii11-1-1ii−i−i0000000000
χ262222-22-2-1-22-2-1-1-1-111-2-222-1110000−2i2i2i−2iii−i−i11-1-1−i−iii0000000000
χ272222-2-2222-2-2222-22-20000-2-2200000000000000000000002i−2i−2i2i0000
χ282222-2-2222-2-2222-22-20000-2-220000000000000000000000−2i2i2i−2i0000
χ2922-2-22222-2-2-22-2-22222i−2i2i−2i-2-2-20000000000002i−2i2i−2i00000000000000
χ3022-2-22222-2-2-22-2-2222−2i2i−2i2i-2-2-2000000000000−2i2i−2i2i00000000000000
χ3122-2-2222-1-2-2-2-111-1-1-12i−2i2i−2i11100000000−i3i3−i3i3−ii−ii3−33−30000000000
χ3222-2-2222-1-2-2-2-111-1-1-12i−2i2i−2i11100000000i3−i3i3−i3−ii−ii−33−330000000000
χ3322-2-2222-1-2-2-2-111-1-1-1−2i2i−2i2i11100000000−i3i3−i3i3i−ii−i−33−330000000000
χ3422-2-2222-1-2-2-2-111-1-1-1−2i2i−2i2i11100000000i3−i3i3−i3i−ii−i3−33−30000000000
χ3522-2-22-2-2222-22-2-2-2-2200002-222i2i−2i−2i00000000000000002i−2i00000000
χ3622-2-22-2-2222-22-2-2-2-2200002-22−2i−2i2i2i0000000000000000−2i2i00000000
χ3722-2-2-22-222-222-2-22-2-22i−2i−2i2i-2220000000000002i−2i−2i2i00000000000000
χ3822-2-2-22-222-222-2-22-2-2−2i2i2i−2i-222000000000000−2i2i2i−2i00000000000000
χ3922-2-2-22-2-12-22-111-1112i−2i−2i2i1-1-1000000003−3−33−iii−ii3−i3−i3i30000000000
χ4022-2-2-22-2-12-22-111-1112i−2i−2i2i1-1-100000000−333−3−iii−i−i3i3i3−i30000000000
χ4122-2-2-22-2-12-22-111-111−2i2i2i−2i1-1-1000000003−3−33i−i−ii−i3i3i3−i30000000000
χ4222-2-2-22-2-12-22-111-111−2i2i2i−2i1-1-100000000−333−3i−i−iii3−i3−i3i30000000000
χ4322-2-2-2-222-2222-2-2-22-2000022-22i2i−2i−2i0000000000000000−2i2i00000000
χ4422-2-2-2-222-2222-2-2-22-2000022-2−2i−2i2i2i00000000000000002i−2i00000000
χ4544444-4-4-2-4-44-2-2-222-200002-22000000000000000000000000000000
χ464444-4-44-24-4-4-2-2-22-22000022-2000000000000000000000000000000
χ4744-4-44-4-4-244-4-22222-20000-22-2000000000000000000000000000000
χ4844-4-4-4-44-2-444-2222-220000-2-22000000000000000000000000000000
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).