Finite Group Databasebeta

← Group #69039

Character table — Group #69039

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order12442223444612124444666121212444488881212121224242424242424242244442444
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
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ711111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ911-1-11-1-111-111-1-1ii−i−i1-1-11-11ii−i−ii−i1-1ii−i−iii−i−i11-1-11-11-1i−i1-1i−i
χ1011-1-11-1-111-111-1-1ii−i−i1-1-11-11ii−i−i−ii-11ii−i−i−i−iii-1-1111-11-1i−i-11−ii
χ1111-1-11-1-111-111-1-1ii−i−i1-1-11-11−i−iiii−i1-1ii−i−iii−i−i11-1-1-11-11−ii-11−ii
χ1211-1-11-1-111-111-1-1ii−i−i1-1-11-11−i−iii−ii-11ii−i−i−i−iii-1-111-11-11−ii1-1i−i
χ1311-1-11-1-111-111-1-1−i−iii1-1-11-11ii−i−ii−i-11−i−iiiii−i−i-1-111-11-11i−i1-1−ii
χ1411-1-11-1-111-111-1-1−i−iii1-1-11-11ii−i−i−ii1-1−i−iii−i−iii11-1-1-11-11i−i-11i−i
χ1511-1-11-1-111-111-1-1−i−iii1-1-11-11−i−iiii−i-11−i−iiiii−i−i-1-1111-11-1−ii-11i−i
χ1611-1-11-1-111-111-1-1−i−iii1-1-11-11−i−iii−ii1-1−i−iii−i−iii11-1-11-11-1−ii1-1−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
χ2122222-2-22-22-22222i−2i2i−2i2-2-2-22-2000000002i−2i2i−2i000000000000000000
χ2222222-2-22-22-2222−2i2i−2i2i2-2-2-22-200000000−2i2i−2i2i000000000000000000
χ2322222-2-2-1-22-2-1-1-12i−2i2i−2i-1111-1100000000−ii−ii−i3i3−i3i33−33−30000000000
χ2422222-2-2-1-22-2-1-1-12i−2i2i−2i-1111-1100000000−ii−iii3−i3i3−i3−33−330000000000
χ2522222-2-2-1-22-2-1-1-1−2i2i−2i2i-1111-1100000000i−ii−i−i3i3−i3i3−33−330000000000
χ2622222-2-2-1-22-2-1-1-1−2i2i−2i2i-1111-1100000000i−ii−ii3−i3i3−i33−33−30000000000
χ272222-22-22-2-222220000-22-2-2-22000000000000000000002-2-22000000
χ282222-22-22-2-222220000-22-2-2-2200000000000000000000-222-2000000
χ292222-2-2222-2-22220000-2-222-2-2222200000000000000000000-2-20000
χ302222-2-2222-2-22220000-2-222-2-2-2-2-2-200000000000000000000220000
χ3122-2-22222-2-2-22-2-22-2-22222-2-2-2000000002-2-22000000000000000000
χ3222-2-22222-2-2-22-2-2-222-2222-2-2-200000000-222-2000000000000000000
χ3322-2-2222-1-2-2-2-1112-2-22-1-1-111100000000-111-13−3−33−333−30000000000
χ3422-2-2222-1-2-2-2-1112-2-22-1-1-111100000000-111-1−333−33−3−330000000000
χ3522-2-2222-1-2-2-2-111-222-2-1-1-1111000000001-1-113−3−333−3−330000000000
χ3622-2-2222-1-2-2-2-111-222-2-1-1-1111000000001-1-11−333−3−333−30000000000
χ3722-2-22-2-2-12-22-1112i2i−2i−2i-111-11-100002i−2i2-2−i−iii−i−iii-1-1110000000000
χ3822-2-22-2-2-12-22-1112i2i−2i−2i-111-11-10000−2i2i-22−i−iiiii−i−i11-1-10000000000
χ3922-2-22-2-2-12-22-111−2i−2i2i2i-111-11-100002i−2i-22ii−i−i−i−iii11-1-10000000000
χ4022-2-22-2-2-12-22-111−2i−2i2i2i-111-11-10000−2i2i2-2ii−i−iii−i−i-1-1110000000000
χ4122-2-2-22-2222-22-2-20000-22-222-22i2i−2i−2i00000000000000000000−2i2i0000
χ4222-2-2-22-2222-22-2-20000-22-222-2−2i−2i2i2i000000000000000000002i−2i0000
χ4322-2-2-2-222-2222-2-20000-2-22-2220000000000000000000022-2-2000000
χ4422-2-2-2-222-2222-2-20000-2-22-22200000000000000000000-2-222000000
χ454444-44-4-2-4-44-2-2-200002-2222-2000000000000000000000000000000
χ464444-4-44-24-4-4-2-2-2000022-2-222000000000000000000000000000000
χ4744-4-4-44-4-244-4-22200002-22-2-22000000000000000000000000000000
χ4844-4-4-4-44-2-444-222000022-22-2-2000000000000000000000000000000
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).