Finite Group Databasebeta

← Group #70073

Character table — Group #70073

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order122222344446666688881212121288882266668824242424242424244444884488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ71111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1
χ91-1-111-111-11-1-1-111-1ii−i−i11-1-111-1-11-111-1-1i−iii−i−iii−i−iii−i−i1-11-1i−i
χ101-1-111-111-11-1-1-111-1ii−i−i11-1-111-1-1-11-1-111−iiii−i−i−i−iiiii−i−i1-1-11−ii
χ111-1-111-111-11-1-1-111-1ii−i−i11-1-1-1-1111-111-1-1i−iii−i−iii−i−i−i−iii-11-11−ii
χ121-1-111-111-11-1-1-111-1ii−i−i11-1-1-1-111-11-1-111−iiii−i−i−i−iii−i−iii-111-1i−i
χ131-1-111-111-11-1-1-111-1−i−iii11-1-111-1-11-111-1-1−ii−i−iii−i−iii−i−iii1-11-1−ii
χ141-1-111-111-11-1-1-111-1−i−iii11-1-111-1-1-11-1-111i−i−i−iiiii−i−i−i−iii1-1-11i−i
χ151-1-111-111-11-1-1-111-1−i−iii11-1-1-1-1111-111-1-1−ii−i−iii−i−iiiii−i−i-11-11i−i
χ161-1-111-111-11-1-1-111-1−i−iii11-1-1-1-111-11-1-111i−i−i−iiiii−i−iii−i−i-111-1−ii
χ172222222-2-2-2-2222222i−2i2i−2i-2-2-2-20000000000002i−2i2i−2i00000000000000
χ182222222-2-2-2-222222−2i2i−2i2i-2-2-2-2000000000000−2i2i−2i2i00000000000000
χ19222222-12222-1-1-1-1-12222-1-1-1-1000022-1-1-1-122-1-1-1-1-1-1-1-10000000000
χ20222222-12222-1-1-1-1-12222-1-1-1-10000-2-21111-2-2-1-1-1-111110000000000
χ21222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-1000022-1-1-1-1-2-2111111110000000000
χ22222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-10000-2-21111221111-1-1-1-10000000000
χ23222222-1-2-2-2-2-1-1-1-1-12i−2i2i−2i1111000000−i3i3−i3i300−ii−ii3−33−30000000000
χ24222222-1-2-2-2-2-1-1-1-1-12i−2i2i−2i1111000000i3−i3i3−i300−ii−ii−33−330000000000
χ25222222-1-2-2-2-2-1-1-1-1-1−2i2i−2i2i1111000000−i3i3−i3i300i−ii−i−33−330000000000
χ26222222-1-2-2-2-2-1-1-1-1-1−2i2i−2i2i1111000000i3−i3i3−i300i−ii−i3−33−30000000000
χ272222-2-222-2-22222-2-200002-22-2000000000000000000002-22-2000000
χ282222-2-222-2-22222-2-200002-22-200000000000000000000-22-22000000
χ292222-2-22-222-2222-2-20000-22-22222200000000000000000000-2-20000
χ302222-2-22-222-2222-2-20000-22-22-2-2-2-200000000000000000000220000
χ312-2-222-22-22-22-2-222-22-2-22-2-2220000000000002-2-2200000000000000
χ322-2-222-22-22-22-2-222-2-222-2-2-222000000000000-222-200000000000000
χ332-2-222-2-12-22-211-1-112i2i−2i−2i-1-11100002-2-1-1112i−2i−i−iii−i−iii0000000000
χ342-2-222-2-12-22-211-1-112i2i−2i−2i-1-1110000-2211-1-1−2i2i−i−iiiii−i−i0000000000
χ352-2-222-2-12-22-211-1-11−2i−2i2i2i-1-11100002-2-1-111−2i2iii−i−iii−i−i0000000000
χ362-2-222-2-12-22-211-1-11−2i−2i2i2i-1-1110000-2211-1-12i−2iii−i−i−i−iii0000000000
χ372-2-222-2-1-22-2211-1-112-2-2211-1-1000000−i3i3i3−i300-111-1−i3i3i3−i30000000000
χ382-2-222-2-1-22-2211-1-112-2-2211-1-1000000i3−i3−i3i300-111-1i3−i3−i3i30000000000
χ392-2-222-2-1-22-2211-1-11-222-211-1-1000000−i3i3i3−i3001-1-11i3−i3−i3i30000000000
χ402-2-222-2-1-22-2211-1-11-222-211-1-1000000i3−i3−i3i3001-1-11−i3i3i3−i30000000000
χ412-2-22-22222-2-2-2-22-2200002-2-22000000000000000000002i−2i−2i2i000000
χ422-2-22-22222-2-2-2-22-2200002-2-2200000000000000000000−2i2i2i−2i000000
χ432-2-22-222-2-222-2-22-220000-222-222-2-200000000000000000000-220000
χ442-2-22-222-2-222-2-22-220000-222-2-2-222000000000000000000002-20000
χ454444-4-4-24-4-44-2-2-2220000-22-22000000000000000000000000000000
χ464444-4-4-2-444-4-2-2-22200002-22-2000000000000000000000000000000
χ4744-4-400400004-4-40000000000−2i22i2−2i22i200000000000000000000000000
χ4844-4-400400004-4-400000000002i2−2i22i2−2i200000000000000000000000000
χ494-44-40040000-44-40000000000−2i22i22i2−2i200000000000000000000000000
χ504-44-40040000-44-400000000002i2−2i2−2i22i200000000000000000000000000
χ514-4-44-44-244-4-422-22-20000-222-2000000000000000000000000000000
χ524-4-44-44-2-4-44422-22-200002-2-22000000000000000000000000000000
χ5388-8-800-40000-4440000000000000000000000000000000000000000
χ548-88-800-400004-440000000000000000000000000000000000000000

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