Finite Group Databasebeta

← Group #69005

Character table — Group #69005

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222222444444444488888888888888881212121212121212121212122424
order1222223444466644446612121212888812121212242424242424242422444444444422
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111
χ711111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ91-11-11-111-11-1-11-1ii−i−i1-11-11-1i−i1-1ii−i−iii−i−i11-1-11-1i−i1-1i−iii−i−i1-1
χ101-11-11-111-11-1-11-1ii−i−i1-11-11-1i−i1-1ii−i−iii−i−i11-1-1-11−ii-11−ii−i−iii-11
χ111-11-11-111-11-1-11-1ii−i−i1-11-11-1−ii-11ii−i−i−i−iii-1-1111-1i−i1-1i−i−i−iii-11
χ121-11-11-111-11-1-11-1ii−i−i1-11-11-1−ii-11ii−i−i−i−iii-1-111-11−ii-11−iiii−i−i1-1
χ131-11-11-111-11-1-11-1−i−iii1-11-11-1i−i-11−i−iiiii−i−i-1-1111-1−ii1-1−iiii−i−i-11
χ141-11-11-111-11-1-11-1−i−iii1-11-11-1i−i-11−i−iiiii−i−i-1-111-11i−i-11i−i−i−iii1-1
χ151-11-11-111-11-1-11-1−i−iii1-11-11-1−ii1-1−i−iii−i−iii11-1-11-1−ii1-1−ii−i−iii1-1
χ161-11-11-111-11-1-11-1−i−iii1-11-11-1−ii1-1−i−iii−i−iii11-1-1-11i−i-11i−iii−i−i-11
χ172222222-2-2-2-22222-22-222-2-2-2-200002-22-20000000000000000000000
χ182222222-2-2-2-2222-22-2222-2-2-2-20000-22-220000000000000000000000
χ19222222-12222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ20222222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000000
χ21222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-122-2-21111-1-1-1-1111100000000000000
χ22222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000000
χ23222222-1-2-2-2-2-1-1-12-22-2-1-111110000-11-113−33−33−33−300000000000000
χ24222222-1-2-2-2-2-1-1-12-22-2-1-111110000-11-11−33−33−33−3300000000000000
χ25222222-1-2-2-2-2-1-1-1-22-22-1-1111100001-11-13−33−3−33−3300000000000000
χ26222222-1-2-2-2-2-1-1-1-22-22-1-1111100001-11-1−33−333−33−300000000000000
χ272222-2-222-2-222220000-2-22-2-220000000000000000002200-2-2000000
χ282222-2-222-2-222220000-2-22-2-22000000000000000000-2-20022000000
χ292222-2-22-222-22220000-2-2-222-200000000000000002200-2-200000000
χ302222-2-22-222-22220000-2-2-222-20000000000000000-2-2002200000000
χ312-22-22-22-22-22-22-22i−2i−2i2i2-2-22-2200002i−2i−2i2i0000000000000000000000
χ322-22-22-22-22-22-22-2−2i2i2i−2i2-2-22-220000−2i2i2i−2i0000000000000000000000
χ332-22-22-2-12-22-21-112i2i−2i−2i-11-11-112i−2i2-2−i−iii−i−iii-1-11100000000000000
χ342-22-22-2-12-22-21-112i2i−2i−2i-11-11-11−2i2i-22−i−iiiii−i−i11-1-100000000000000
χ352-22-22-2-12-22-21-11−2i−2i2i2i-11-11-112i−2i-22ii−i−i−i−iii11-1-100000000000000
χ362-22-22-2-12-22-21-11−2i−2i2i2i-11-11-11−2i2i2-2ii−i−iii−i−i-1-11100000000000000
χ372-22-22-2-1-22-221-112i−2i−2i2i-111-11-10000−iii−i−i3i3i3−i3−333−300000000000000
χ382-22-22-2-1-22-221-112i−2i−2i2i-111-11-10000−iii−ii3−i3−i3i33−3−3300000000000000
χ392-22-22-2-1-22-221-11−2i2i2i−2i-111-11-10000i−i−ii−i3i3i3−i33−3−3300000000000000
χ402-22-22-2-1-22-221-11−2i2i2i−2i-111-11-10000i−i−iii3−i3−i3i3−333−300000000000000
χ412-22-2-22222-2-2-22-20000-2222-2-20000000000000000002i−2i00−2i2i000000
χ422-22-2-22222-2-2-22-20000-2222-2-2000000000000000000−2i2i002i−2i000000
χ432-22-2-222-2-222-22-20000-22-2-22200000000000000002-200-2200000000
χ442-22-2-222-2-222-22-20000-22-2-2220000000000000000-22002-200000000
χ454444-4-4-24-4-44-2-2-2000022-222-2000000000000000000000000000000
χ464444-4-4-2-444-4-2-2-20000222-2-22000000000000000000000000000000
χ4744-4-400400004-4-400000000000000000000000000000000002i−2i2i−2i00
χ4844-4-400400004-4-40000000000000000000000000000000000−2i2i−2i2i00
χ494-44-4-44-244-4-42-2200002-2-2-222000000000000000000000000000000
χ504-44-4-44-2-4-4442-2200002-222-2-2000000000000000000000000000000
χ514-4-440040000-4-4400000000000000000000000000000000002-2-2200
χ524-4-440040000-4-440000000000000000000000000000000000-222-200
χ5388-8-800-40000-4440000000000000000000000000000000000000000
χ548-8-8800-4000044-40000000000000000000000000000000000000000

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