Finite Group Databasebeta

← Group #70913

Character table — Group #70913

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222222222222222244444444444444888888888888121212121212121224242424
order12223444444666888812121212881212121224242424242424244444121212121212121216161616161616162244
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
χ511111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91-11-11i−ii−i1-1-11-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ101-11-11i−ii−i1-1-11-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i-1-111−i−iii-11−ii
χ111-11-11i−ii−i1-1-11-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-11−ii
χ121-11-11i−ii−i1-1-11-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii-1-111−i−iii1-1i−i
χ131-11-11−ii−ii1-1-11-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ141-11-11−ii−ii1-1-11-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii-1-111ii−i−i-11i−i
χ151-11-11−ii−ii1-1-11-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i11-1-1−i−iii-11i−i
χ161-11-11−ii−ii1-1-11-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i-1-111ii−i−i1-1−ii
χ1722222222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2000000000000000000000000
χ182222222-2-2-2-22220000222200-2-2-2-2000000000000000000002−22−22−22−20000
χ192222222-2-2-2-22220000222200-2-2-2-200000000000000000000−22−22−22−220000
χ2022222-2-222-2-22220000-2-2-2-20022-2-2000000000000000000002−22−2−22−220000
χ2122222-2-222-2-22220000-2-2-2-20022-2-200000000000000000000−22−222−22−20000
χ2222222-2-2-2-222222-2-2-2-2-2-2-2-222-2-222-2-2-2-22222000000000000000000000000
χ232222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ242222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ252222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i3000000000000
χ262222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000i3−i3i3−i3i3−i3i3−i3000000000000
χ272222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-1111122-2-2-1-1-1-11111000000000000
χ282222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-11111-2-2221111-1-1-1-1000000000000
χ292222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ302222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ312-22-222i−2i2i−2i2-2-22-2-2-2222i2i−2i−2i−2i2i2i−2i2-2-2-222−2i−2i2i2i000000000000000000000000
χ322-22-222i−2i−2i2i-22-22-200002i2i−2i−2i00−2i2i-22000000000000000000002−2−22i2−i2−i2i20000
χ332-22-222i−2i−2i2i-22-22-200002i2i−2i−2i00−2i2i-2200000000000000000000−222−2−i2i2i2−i20000
χ342-22-22−2i2i2i−2i-22-22-20000−2i−2i2i2i002i−2i-22000000000000000000002−2−22−i2i2i2−i20000
χ352-22-22−2i2i2i−2i-22-22-20000−2i−2i2i2i002i−2i-2200000000000000000000−222−2i2−i2−i2i20000
χ362-22-22−2i2i−2i2i2-2-22-2-2-222−2i−2i2i2i2i−2i−2i2i2-2-2-2222i2i−2i−2i000000000000000000000000
χ372-22-2-12i−2i2i−2i2-21-1122-2-2−i−iii2i−2i−ii-11-1-111−i−iii2-22i−2i-1-111−i−iii000000000000
χ382-22-2-12i−2i2i−2i2-21-1122-2-2−i−iii2i−2i−ii-11-1-111−i−iii-22−2i2i11-1-1ii−i−i000000000000
χ392-22-2-12i−2i2i−2i2-21-11-2-222−i−iii−2i2i−ii-1111-1-1ii−i−i0000−i3i3i3−i33−3−33000000000000
χ402-22-2-12i−2i2i−2i2-21-11-2-222−i−iii−2i2i−ii-1111-1-1ii−i−i0000i3−i3−i3i3−333−3000000000000
χ412-22-2-1−2i2i−2i2i2-21-1122-2-2ii−i−i−2i2ii−i-11-1-111ii−i−i2-2−2i2i-1-111ii−i−i000000000000
χ422-22-2-1−2i2i−2i2i2-21-1122-2-2ii−i−i−2i2ii−i-11-1-111ii−i−i-222i−2i11-1-1−i−iii000000000000
χ432-22-2-1−2i2i−2i2i2-21-11-2-222ii−i−i2i−2ii−i-1111-1-1−i−iii0000−i3i3i3−i3−333−3000000000000
χ442-22-2-1−2i2i−2i2i2-21-11-2-222ii−i−i2i−2ii−i-1111-1-1−i−iii0000i3−i3−i3i33−3−33000000000000
χ454444-244-4-4-4-4-2-2-20000-2-2-2-200222200000000000000000000000000000000
χ464444-2-4-444-4-4-2-2-20000222200-2-22200000000000000000000000000000000
χ4744-4-440000004-4-422−2222−22000000000022−2222−220000000000000000000000000000
χ4844-4-440000004-4-4−2222−22220000000000−2222−22220000000000000000000000000000
χ4944-4-4-2000000-22222−2222−22−2i32i3−2i32i3000000−22−22i6−i6i6−i6000000000000000000000000
χ5044-4-4-2000000-22222−2222−222i3−2i32i3−2i3000000−22−22−i6i6−i6i6000000000000000000000000
χ5144-4-4-2000000-222−2222−2222−2i32i3−2i32i30000002−22−2−i6i6−i6i6000000000000000000000000
χ5244-4-4-2000000-222−2222−22222i3−2i32i3−2i30000002−22−2i6−i6i6−i6000000000000000000000000
χ534-44-4-24i−4i−4i4i-442-220000−2i−2i2i2i002i−2i2-200000000000000000000000000000000
χ544-44-4-2−4i4i4i−4i-442-2200002i2i−2i−2i00−2i2i2-200000000000000000000000000000000
χ554-4-444000000-4-4422−22−2222000000000022−22−22220000000000000000000000000000
χ564-4-444000000-4-44−222222−220000000000−222222−220000000000000000000000000000
χ574-4-44-200000022-222−22−222223−23−2323000000−222−2−666−6000000000000000000000000
χ584-4-44-200000022-222−22−2222−232323−23000000−222−26−6−66000000000000000000000000
χ594-4-44-200000022-2−222222−2223−23−23230000002−2−226−6−66000000000000000000000000
χ604-4-44-200000022-2−222222−22−232323−230000002−2−22−666−6000000000000000000000000

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