Finite Group Databasebeta

← Group #69033

Character table — Group #69033

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222222444444444488888888888888881212121212121212121212122424
order12442223444612126668888121212448812121212242424242424242422444444888888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ811111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ911-1-1-1-1111-111-1-11-1-1ii−i−i1-11i−i1-1ii−i−iii−i−i11-1-11-11-111-1-1ii−i−ii−i
χ1011-1-1-1-1111-111-1-11-1-1ii−i−i1-11i−i1-1ii−i−iii−i−i11-1-1-11-11-1-111−i−iii−ii
χ1111-1-1-1-1111-111-1-11-1-1ii−i−i1-11−ii-11−i−iiiii−i−i-1-1111-11-1-1-111ii−i−i−ii
χ1211-1-1-1-1111-111-1-11-1-1ii−i−i1-11−ii-11−i−iiiii−i−i-1-111-11-1111-1-1−i−iiii−i
χ1311-1-1-1-1111-111-1-11-1-1−i−iii1-11i−i-11ii−i−i−i−iii-1-1111-11-1-1-111−i−iiii−i
χ1411-1-1-1-1111-111-1-11-1-1−i−iii1-11i−i-11ii−i−i−i−iii-1-111-11-1111-1-1ii−i−i−ii
χ1511-1-1-1-1111-111-1-11-1-1−i−iii1-11−ii1-1−i−iii−i−iii11-1-11-11-111-1-1−i−iii−ii
χ1611-1-1-1-1111-111-1-11-1-1−i−iii1-11−ii1-1−i−iii−i−iii11-1-1-11-11-1-111ii−i−ii−i
χ172222222-1222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ182222222-1222-1-1-1-1-1-12222-1-1-1-2-2-2-21111-1-1-1-1111100000000000000
χ192222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-122-2-2-1-1-1-11111111100000000000000
χ202222222-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-2-22211111111-1-1-1-100000000000000
χ2122222-2-22-2-22222-22-20000-2-220000000000000000000000002-22-200
χ2222222-2-22-2-22222-22-20000-2-22000000000000000000000000-22-2200
χ232222-22-222-2-2222-2-2200002-2-200000000000000002-2-220000000000
χ242222-22-222-2-2222-2-2200002-2-20000000000000000-222-20000000000
χ252222-2-222-22-22222-2-22-22-2-22-2000000002-22-2000000000000000000
χ262222-2-222-22-22222-2-2-22-22-22-200000000-22-22000000000000000000
χ272222-2-22-1-22-2-1-1-1-1112-22-21-1100003−33−3-11-113−33−300000000000000
χ282222-2-22-1-22-2-1-1-1-1112-22-21-110000−33−33-11-11−33−3300000000000000
χ292222-2-22-1-22-2-1-1-1-111-22-221-1100003−33−31-11-1−33−3300000000000000
χ302222-2-22-1-22-2-1-1-1-111-22-221-110000−33−331-11-13−33−300000000000000
χ3122-2-22222-2-2-22-2-22222i−2i−2i2i-2-2-2000000002i−2i−2i2i000000000000000000
χ3222-2-22222-2-2-22-2-2222−2i2i2i−2i-2-2-200000000−2i2i2i−2i000000000000000000
χ3322-2-2222-1-2-2-2-111-1-1-12i−2i−2i2i1110000−i3i3i3−i3−iii−i−333−300000000000000
χ3422-2-2222-1-2-2-2-111-1-1-12i−2i−2i2i1110000i3−i3−i3i3−iii−i3−3−3300000000000000
χ3522-2-2222-1-2-2-2-111-1-1-1−2i2i2i−2i1110000−i3i3i3−i3i−i−ii3−3−3300000000000000
χ3622-2-2222-1-2-2-2-111-1-1-1−2i2i2i−2i1110000i3−i3−i3i3i−i−ii−333−300000000000000
χ3722-2-22-2-2222-22-2-2-22-2000022-2000000000000000022-2-20000000000
χ3822-2-22-2-2222-22-2-2-22-2000022-20000000000000000-2-2220000000000
χ3922-2-2-22-22-2222-2-2-2-220000-2220000000000000000000000002i−2i−2i2i00
χ4022-2-2-22-22-2222-2-2-2-220000-222000000000000000000000000−2i2i2i−2i00
χ4122-2-2-2-22-12-22-111-1112i2i−2i−2i-11-12i−2i2-2−i−iii−i−iii-1-11100000000000000
χ4222-2-2-2-22-12-22-111-1112i2i−2i−2i-11-1−2i2i-22ii−i−i−i−iii11-1-100000000000000
χ4322-2-2-2-22-12-22-111-111−2i−2i2i2i-11-12i−2i-22−i−iiiii−i−i11-1-100000000000000
χ4422-2-2-2-22-12-22-111-111−2i−2i2i2i-11-1−2i2i2-2ii−i−iii−i−i-1-11100000000000000
χ4544444-4-4-2-4-44-2-2-22-22000022-2000000000000000000000000000000
χ464444-44-4-24-4-4-2-2-222-20000-222000000000000000000000000000000
χ4744-4-44-4-4-244-4-2222-220000-2-22000000000000000000000000000000
χ4844-4-4-44-4-2-444-22222-200002-2-2000000000000000000000000000000
χ494-44i−4i0004000-44i−4i0000000000000000000000000000002-22i−2i000000
χ504-44i−4i0004000-44i−4i000000000000000000000000000000-22−2i2i000000
χ514-4−4i4i0004000-4−4i4i0000000000000000000000000000002-2−2i2i000000
χ524-4−4i4i0004000-4−4i4i000000000000000000000000000000-222i−2i000000
χ538-88i−8i000-40004−4i4i0000000000000000000000000000000000000000
χ548-8−8i8i000-400044i−4i0000000000000000000000000000000000000000

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