Finite Group Databasebeta

← Group #69088

Character table — Group #69088

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order124423468888121244688122424242444441212161616162424484848484848484824888816161616
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ711111111111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111-1-11-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1
χ911111111-1-1-1-111111-1-11-1-1-1-1111111i−ii−i-1-1ii−i−iii−i−i11-1-1-1-1i−ii−i
χ1011111111-1-1-1-111111-1-11-1-1-1-1111111−ii−ii-1-1−i−iii−i−iii11-1-1-1-1−ii−ii
χ1111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-111i−ii−i-1-1ii−i−iii−i−i-1-11111−ii−ii
χ1211111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-111−ii−ii-1-1−i−iii−i−iii-1-11111i−ii−i
χ1311111111-1-1-1-111-1-11111-1-1-1-11111-1-1i−i−ii11ii−i−i−i−iii-1-111-1-1i−i−ii
χ1411111111-1-1-1-111-1-11111-1-1-1-11111-1-1−iii−i11−i−iiiii−i−i-1-111-1-1−iii−i
χ1511111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii11-1-111−iii−i
χ1611111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1−iii−i11−i−iiiii−i−i11-1-111i−i−ii
χ1722222-12-12222-1-122-122-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-10000000000
χ1822222-12-12222-1-122-122-1-1-1-1-10000-1-1-2-2-2-2-1-1111111110000000000
χ1922222-12-12222-1-1-2-2-1-2-2-1-1-1-1-100001122-2-211-1-1-1-111110000000000
χ2022222-12-12222-1-1-2-2-1-2-2-1-1-1-1-1000011-2-222111111-1-1-1-10000000000
χ2122222-12-1-2-2-2-2-1-122-1-2-2-111110000-1-12i−2i2i−2i11−i−iii−i−iii0000000000
χ2222222-12-1-2-2-2-2-1-122-1-2-2-111110000-1-1−2i2i−2i2i11ii−i−iii−i−i0000000000
χ2322222-12-1-2-2-2-2-1-1-2-2-122-111110000112i−2i−2i2i-1-1−i−iiiii−i−i0000000000
χ2422222-12-1-2-2-2-2-1-1-2-2-122-11111000011−2i2i2i−2i-1-1ii−i−i−i−iii0000000000
χ252222-22-2222-2-2222i−2i-22i−2i-222-2-200002i−2i00002i−2i000000000000000000
χ262222-22-2222-2-222−2i2i-2−2i2i-222-2-20000−2i2i0000−2i2i000000000000000000
χ272222-22-22-2-222222i−2i-2−2i2i-2-2-22200002i−2i0000−2i2i000000000000000000
χ282222-22-22-2-22222−2i2i-22i−2i-2-2-2220000−2i2i00002i−2i000000000000000000
χ292222-2-1-2-122-2-2-1-12i−2i12i−2i1-1-1110000−ii0000−ii−i3i3−i3i33−33−30000000000
χ302222-2-1-2-122-2-2-1-12i−2i12i−2i1-1-1110000−ii0000−iii3−i3i3−i3−33−330000000000
χ312222-2-1-2-122-2-2-1-1−2i2i1−2i2i1-1-1110000i−i0000i−i−i3i3−i3i3−33−330000000000
χ322222-2-1-2-122-2-2-1-1−2i2i1−2i2i1-1-1110000i−i0000i−ii3−i3i3−i33−33−30000000000
χ332222-2-1-2-1-2-222-1-12i−2i1−2i2i111-1-10000−ii0000i−i3−3−33i3−i3−i3i30000000000
χ342222-2-1-2-1-2-222-1-12i−2i1−2i2i111-1-10000−ii0000i−i−333−3−i3i3i3−i30000000000
χ352222-2-1-2-1-2-222-1-1−2i2i12i−2i111-1-10000i−i0000−ii3−3−33−i3i3i3−i30000000000
χ362222-2-1-2-1-2-222-1-1−2i2i12i−2i111-1-10000i−i0000−ii−333−3i3−i3−i3i30000000000
χ3722-2-222-222i−2i2i−2i-2-200200-22i−2i2i−2i000000000000000000002-22i−2i000000
χ3822-2-222-222i−2i2i−2i-2-200200-22i−2i2i−2i00000000000000000000-22−2i2i000000
χ3922-2-222-22−2i2i−2i2i-2-200200-2−2i2i−2i2i000000000000000000002-2−2i2i000000
χ4022-2-222-22−2i2i−2i2i-2-200200-2−2i2i−2i2i00000000000000000000-222i−2i000000
χ4122-2-2-22222i−2i−2i2i-2-200-20022i−2i−2i2i2i2i−2i−2i000000000000000000002-20000
χ4222-2-2-22222i−2i−2i2i-2-200-20022i−2i−2i2i−2i−2i2i2i00000000000000000000-220000
χ4322-2-2-2222−2i2i2i−2i-2-200-2002−2i2i2i−2i2i2i−2i−2i00000000000000000000-220000
χ4422-2-2-2222−2i2i2i−2i-2-200-2002−2i2i2i−2i−2i−2i2i2i000000000000000000002-20000
χ4544-4-44-2-4-24i−4i4i−4i2200-2002−2i2i−2i2i000000000000000000000000000000
χ4644-4-44-2-4-2−4i4i−4i4i2200-20022i−2i2i−2i000000000000000000000000000000
χ4744-4-4-4-24-24i−4i−4i4i2200200-2−2i2i2i−2i000000000000000000000000000000
χ4844-4-4-4-24-2−4i4i4i−4i2200200-22i−2i−2i2i000000000000000000000000000000
χ494-44i−4i040-400004i−4i00000000002+2i−2−2i2−2i−2+2i00000000000000000000000000
χ504-44i−4i040-400004i−4i0000000000−2−2i2+2i−2+2i2−2i00000000000000000000000000
χ514-4−4i4i040-40000−4i4i00000000002−2i−2+2i2+2i−2−2i00000000000000000000000000
χ524-4−4i4i040-40000−4i4i0000000000−2+2i2−2i−2−2i2+2i00000000000000000000000000
χ538-88i−8i0-4040000−4i4i0000000000000000000000000000000000000000
χ548-8−8i8i0-40400004i−4i0000000000000000000000000000000000000000

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