Finite Group Databasebeta

← Group #68949

Character table — Group #68949

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222222222222222244444444444444888888888888121212121212121224242424
order1222223444466688881212121266881212242424242424242488882424242424242424224488884444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-111-1111-1-1-1-11ii−i−i11-1-11-1i−i1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-11-11-1ii−i−ii−i1-1
χ101-1-111-1111-1-1-1-11ii−i−i11-1-11-1i−i1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1-11-11−i−iii−ii-11
χ111-1-111-1111-1-1-1-11ii−i−i11-1-11-1i−i1-1iiii−i−i−i−i−ii-11−i−iii-1-1111-11-1ii−i−i−ii-11
χ121-1-111-1111-1-1-1-11ii−i−i11-1-11-1i−i1-1iiii−i−i−i−i−ii-11−i−iii-1-111-11-11−i−iiii−i1-1
χ131-1-111-1111-1-1-1-11−i−iii11-1-11-1−ii1-1−i−i−i−iiiiii−i-11ii−i−i-1-1111-11-1−i−iiii−i-11
χ141-1-111-1111-1-1-1-11−i−iii11-1-11-1−ii1-1−i−i−i−iiiiii−i-11ii−i−i-1-111-11-11ii−i−i−ii1-1
χ151-1-111-1111-1-1-1-11−i−iii11-1-11-1−ii1-1−i−i−i−iiiii−ii1-1−i−iii11-1-11-11-1−i−iii−ii1-1
χ161-1-111-1111-1-1-1-11−i−iii11-1-11-1−ii1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1-11-11ii−i−ii−i-11
χ172222222-2-2-2-22220000-2-2-2-22200-2-20000000000000000000000002i−2i2i−2i0000
χ182222222-2-2-2-22220000-2-2-2-22200-2-2000000000000000000000000−2i2i−2i2i0000
χ19222222-12222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ20222222-12222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ21222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2-1-11111111122-2-2-1-1-1-11111000000000000
χ22222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2-1-111111111-2-2221111-1-1-1-1000000000000
χ232222-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2000000000000000000000000
χ242222-2-222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222000000000000000000000000
χ252222-2-22-222-222200002222-2-200-2-20000000000000000000022-2-200000000
χ262222-2-22-222-222200002222-2-200-2-200000000000000000000-2-22200000000
χ272222-2-2-12-2-22-1-1-12222111111-2-2-1-1-1-111-1-11100003−33−33−33−3000000000000
χ282222-2-2-12-2-22-1-1-12222111111-2-2-1-1-1-111-1-1110000−33−33−33−33000000000000
χ292222-2-2-12-2-22-1-1-1-2-2-2-211111122-1-111-1-111-1-100003−33−3−33−33000000000000
χ302222-2-2-12-2-22-1-1-1-2-2-2-211111122-1-111-1-111-1-10000−33−333−33−3000000000000
χ312-2-222-22-2-222-2-220000-2-2222-200-220000000000000000000000002-2-220000
χ322-2-222-22-2-222-2-220000-2-2222-200-22000000000000000000000000-222-20000
χ332-2-222-2-122-2-211-12i2i−2i−2i-1-111-112i−2i-11−i−i−i−iiiii2i−2i2-2−i−iii-1-111000000000000
χ342-2-222-2-122-2-211-12i2i−2i−2i-1-111-112i−2i-11−i−i−i−iiiii−2i2i-22ii−i−i11-1-1000000000000
χ352-2-222-2-122-2-211-1−2i−2i2i2i-1-111-11−2i2i-11iiii−i−i−i−i2i−2i-22−i−iii11-1-1000000000000
χ362-2-222-2-122-2-211-1−2i−2i2i2i-1-111-11−2i2i-11iiii−i−i−i−i−2i2i2-2ii−i−i-1-111000000000000
χ372-2-22-2222-22-2-2-222i2i−2i−2i-2-222-22−2i2i2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ382-2-22-2222-22-2-2-22−2i−2i2i2i-2-222-222i−2i2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ392-2-22-222-22-22-2-22000022-2-2-2200-22000000000000000000002-2-2200000000
χ402-2-22-222-22-22-2-22000022-2-2-2200-2200000000000000000000-222-200000000
χ412-2-22-22-12-22-211-12i2i−2i−2i11-1-11-1−2i2i-11−i−iiiii−i−i0000−i3i3i3−i3−333−3000000000000
χ422-2-22-22-12-22-211-12i2i−2i−2i11-1-11-1−2i2i-11−i−iiiii−i−i0000i3−i3−i3i33−3−33000000000000
χ432-2-22-22-12-22-211-1−2i−2i2i2i11-1-11-12i−2i-11ii−i−i−i−iii0000−i3i3i3−i33−3−33000000000000
χ442-2-22-22-12-22-211-1−2i−2i2i2i11-1-11-12i−2i-11ii−i−i−i−iii0000i3−i3−i3i3−333−3000000000000
χ45444444-2-4-4-4-4-2-2-200002222-2-2002200000000000000000000000000000000
χ464444-4-4-2-444-4-2-2-20000-2-2-2-222002200000000000000000000000000000000
χ4744-4-400400004-4-422−2222−22000000000022−220022−2200000000000000000000000000
χ4844-4-400400004-4-4−2222−22220000000000−222200−222200000000000000000000000000
χ4944-4-400-20000-22222−2222−2223−2323−23000000−226−6−226−6000000000000000000000000
χ5044-4-400-20000-22222−2222−22−2323−2323000000−22−66−22−66000000000000000000000000
χ5144-4-400-20000-222−2222−222223−2323−230000002−2−662−2−66000000000000000000000000
χ5244-4-400-20000-222−2222−2222−2323−23230000002−26−62−26−6000000000000000000000000
χ534-44-40040000-44-4−2i22i22i2−2i20000000000−2i22i2002i2−2i200000000000000000000000000
χ544-44-40040000-44-42i2−2i2−2i22i200000000002i2−2i200−2i22i200000000000000000000000000
χ554-44-400-200002-22−2i22i22i2−2i223−23−2323000000i2−i2−i6i6−i2i2i6−i6000000000000000000000000
χ564-44-400-200002-22−2i22i22i2−2i2−232323−23000000i2−i2i6−i6−i2i2−i6i6000000000000000000000000
χ574-44-400-200002-222i2−2i2−2i22i223−23−2323000000−i2i2i6−i6i2−i2−i6i6000000000000000000000000
χ584-44-400-200002-222i2−2i2−2i22i2−232323−23000000−i2i2−i6i6i2−i2i6−i6000000000000000000000000
χ594-4-444-4-2-4-44422-2000022-2-2-22002-200000000000000000000000000000000
χ604-4-44-44-2-44-4422-20000-2-2222-2002-200000000000000000000000000000000

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