Finite Group Databasebeta

← Group #70592

Character table — Group #70592

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222222222222222244444444444444888888888888121212121212121224242424
order12222234444666666688888812121212242424242424242444441212121212121212224488888888
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
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i
χ101-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i-11-11-1-111−ii−ii
χ111-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii
χ121-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-11-11-1-111i−ii−i
χ131-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii1-11-1-1-111i−i−ii
χ141-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-11-1111-1-1−iii−i
χ151-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i1-11-1-1-111−iii−i
χ161-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-11-1111-1-1i−i−ii
χ172222222-2-2-2-22222222000000-2-2-2-20000000000000000000000002i−2i2i−2i0000
χ182222222-2-2-2-22222222000000-2-2-2-2000000000000000000000000−2i2i−2i2i0000
χ19222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ20222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ21222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ22222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ232222-2-222-2-22-2-2-2-222200000022-2-20000000000000000000022-2-200000000
χ242222-2-222-2-22-2-2-2-222200000022-2-200000000000000000000-2-22200000000
χ252222-2-22-222-2-2-2-2-22222222-2-2-2-22222-2-222-2-2000000000000000000000000
χ262222-2-22-222-2-2-2-2-2222-2-2-2-222-2-222-2-222-2-222000000000000000000000000
χ272222-2-2-1-222-21111-1-1-12222-2-211-1-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000
χ282222-2-2-1-222-21111-1-1-12222-2-211-1-1-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000
χ292222-2-2-1-222-21111-1-1-1-2-2-2-22211-1-111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ302222-2-2-1-222-21111-1-1-1-2-2-2-22211-1-111-1-111-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ312-2-222-22-22-2222-2-22-2-2000000-222-20000000000000000000000002i−2i−2i2i0000
χ322-2-222-22-22-2222-2-22-2-2000000-222-2000000000000000000000000−2i2i2i−2i0000
χ332-2-222-2-12-22-2-1-111-11122-2-22-2-111-1-1-1-1-111112i−2i2i−2i−i−iii−i−iii000000000000
χ342-2-222-2-12-22-2-1-111-11122-2-22-2-111-1-1-1-1-11111−2i2i−2i2iii−i−iii−i−i000000000000
χ352-2-222-2-12-22-2-1-111-111-2-222-22-111-11111-1-1-1-12i−2i−2i2i−i−iiiii−i−i000000000000
χ362-2-222-2-12-22-2-1-111-111-2-222-22-111-11111-1-1-1-1−2i2i2i−2iii−i−i−i−iii000000000000
χ372-2-22-22222-2-2-2-2222-2-20000002-22-2000000000000000000002-2-2200000000
χ382-2-22-22222-2-2-2-2222-2-20000002-22-200000000000000000000-222-200000000
χ392-2-22-222-2-222-2-2222-2-222-2-2-22-22-2222-2-2-2-222000000000000000000000000
χ402-2-22-222-2-222-2-2222-2-2-2-2222-2-22-22-2-22222-2-2000000000000000000000000
χ412-2-22-22-1-2-22211-1-1-11122-2-2-221-11-1-1-11111-1-100003−3−333−3−33000000000000
χ422-2-22-22-1-2-22211-1-1-11122-2-2-221-11-1-1-11111-1-10000−333−3−333−3000000000000
χ432-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-11100003−3−33−333−3000000000000
χ442-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-1110000−333−33−3−33000000000000
χ45444444-2-4-4-4-4-2-2-2-2-2-2-2000000222200000000000000000000000000000000
χ464444-4-4-24-4-442222-2-2-2000000-2-22200000000000000000000000000000000
χ4744-4-400400000000-44-4−2i22i2−2i22i2000000−2i22i200−2i22i200000000000000000000000000
χ4844-4-400400000000-44-42i2−2i22i2−2i20000002i2−2i2002i2−2i200000000000000000000000000
χ4944-4-400-20000−2i32i3−2i32i32-22−2i22i2−2i22i2000000i2−i26−6i2−i26−6000000000000000000000000
χ5044-4-400-20000−2i32i3−2i32i32-222i2−2i22i2−2i2000000−i2i2−66−i2i2−66000000000000000000000000
χ5144-4-400-200002i3−2i32i3−2i32-22−2i22i2−2i22i2000000i2−i2−66i2−i2−66000000000000000000000000
χ5244-4-400-200002i3−2i32i3−2i32-222i2−2i22i2−2i2000000−i2i26−6−i2i26−6000000000000000000000000
χ534-44-400400000000-4-44−2i22i22i2−2i2000000−2i22i2002i2−2i200000000000000000000000000
χ544-44-400400000000-4-442i2−2i2−2i22i20000002i2−2i200−2i22i200000000000000000000000000
χ554-44-400-20000−2i32i32i3−2i322-2−2i22i22i2−2i2000000i2−i26−6−i2i2−66000000000000000000000000
χ564-44-400-20000−2i32i32i3−2i322-22i2−2i2−2i22i2000000−i2i2−66i2−i26−6000000000000000000000000
χ574-44-400-200002i3−2i3−2i32i322-2−2i22i22i2−2i2000000i2−i2−66−i2i26−6000000000000000000000000
χ584-44-400-200002i3−2i3−2i32i322-22i2−2i2−2i22i2000000−i2i26−6i2−i2−66000000000000000000000000
χ594-4-444-4-2-44-44-2-222-2220000002-2-2200000000000000000000000000000000
χ604-4-44-44-244-4-422-2-2-222000000-22-2200000000000000000000000000000000

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