Finite Group Databasebeta

← Group #70680

Character table — Group #70680

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222222444444444488888888888888881212121212121212121212122424
order1222223444466644446612121212448812121212121212122424242422444444444488
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
χ511111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ91-11-1-1111-11-11-1-1i−ii−i1-11-1-11i−i1-1i−ii−iii−i−i11-1-11-11-1ii−i−i11-1-1i−i
χ101-11-1-1111-11-11-1-1i−ii−i1-11-1-11i−i1-1i−ii−iii−i−i11-1-1-11-11−i−iii-1-111−ii
χ111-11-1-1111-11-11-1-1i−ii−i1-11-1-11−ii-11i−ii−i−i−iii-1-1111-11-1ii−i−i-1-111−ii
χ121-11-1-1111-11-11-1-1i−ii−i1-11-1-11−ii-11i−ii−i−i−iii-1-111-11-11−i−iii11-1-1i−i
χ131-11-1-1111-11-11-1-1−ii−ii1-11-1-11i−i-11−ii−iiii−i−i-1-1111-11-1−i−iii-1-111i−i
χ141-11-1-1111-11-11-1-1−ii−ii1-11-1-11i−i-11−ii−iiii−i−i-1-111-11-11ii−i−i11-1-1−ii
χ151-11-1-1111-11-11-1-1−ii−ii1-11-1-11−ii1-1−ii−ii−i−iii11-1-11-11-1−i−iii11-1-1−ii
χ161-11-1-1111-11-11-1-1−ii−ii1-11-1-11−ii1-1−ii−ii−i−iii11-1-1-11-11ii−i−i-1-111i−i
χ172222222-2-2-2-2222000022-2-2-2-2000000000000000000002-22-2000000
χ182222222-2-2-2-2222000022-2-2-2-200000000000000000000-22-22000000
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
χ232222-2-222-2-222220000-2-222-2-2000000000000000022-2-20000000000
χ242222-2-222-2-222220000-2-222-2-20000000000000000-2-2220000000000
χ252222-2-22-222-222222-2-2-2-2-2-222000022-2-20000000000000000000000
χ262222-2-22-222-2222-2-222-2-2-2-2220000-2-2220000000000000000000000
χ272222-2-2-1-222-2-1-1-122-2-21111-1-10000-1-111−i3i3−i3i3−i3i3−i3i300000000000000
χ282222-2-2-1-222-2-1-1-122-2-21111-1-10000-1-111i3−i3i3−i3i3−i3i3−i300000000000000
χ292222-2-2-1-222-2-1-1-1-2-2221111-1-1000011-1-1−i3i3−i3i3i3−i3i3−i300000000000000
χ302222-2-2-1-222-2-1-1-1-2-2221111-1-1000011-1-1i3−i3i3−i3−i3i3−i3i300000000000000
χ312-22-22-2222-2-22-2-20000-222-22-200000000000000002-2-220000000000
χ322-22-22-2222-2-22-2-20000-222-22-20000000000000000-222-20000000000
χ332-22-22-22-2-2222-2-22i−2i−2i2i-22-22-2200002i−2i−2i2i0000000000000000000000
χ342-22-22-22-2-2222-2-2−2i2i2i−2i-22-22-220000−2i2i2i−2i0000000000000000000000
χ352-22-22-2-1-2-222-1112i−2i−2i2i1-11-11-10000−iii−i3−3−33−i3i3i3−i300000000000000
χ362-22-22-2-1-2-222-1112i−2i−2i2i1-11-11-10000−iii−i−333−3i3−i3−i3i300000000000000
χ372-22-22-2-1-2-222-111−2i2i2i−2i1-11-11-10000i−i−ii3−3−33i3−i3−i3i300000000000000
χ382-22-22-2-1-2-222-111−2i2i2i−2i1-11-11-10000i−i−ii−333−3−i3i3i3−i300000000000000
χ392-22-2-222-22-222-2-200002-2-222-2000000000000000000002i−2i−2i2i000000
χ402-22-2-222-22-222-2-200002-2-222-200000000000000000000−2i2i2i−2i000000
χ412-22-2-22-12-22-2-1112i−2i2i−2i-11-111-12i−2i2-2−ii−ii−i−iii-1-11100000000000000
χ422-22-2-22-12-22-2-1112i−2i2i−2i-11-111-1−2i2i-22−ii−iiii−i−i11-1-100000000000000
χ432-22-2-22-12-22-2-111−2i2i−2i2i-11-111-12i−2i-22i−ii−i−i−iii11-1-100000000000000
χ442-22-2-22-12-22-2-111−2i2i−2i2i-11-111-1−2i2i2-2i−ii−iii−i−i-1-11100000000000000
χ45444444-2-4-4-4-4-2-2-20000-2-22222000000000000000000000000000000
χ464444-4-4-24-4-44-2-2-2000022-2-222000000000000000000000000000000
χ4744-4-40040000-44-400000000000000000000000000000000002-22-200
χ4844-4-40040000-44-40000000000000000000000000000000000-22-2200
χ494-44-44-4-244-4-4-22200002-2-22-22000000000000000000000000000000
χ504-44-4-44-2-44-44-2220000-222-2-22000000000000000000000000000000
χ514-4-440040000-4-4400000000000000000000000000000000002-2-2200
χ524-4-440040000-4-440000000000000000000000000000000000-222-200
χ5388-8-800-400004-440000000000000000000000000000000000000000
χ548-8-8800-4000044-40000000000000000000000000000000000000000

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