Finite Group Databasebeta

← Group #70121

Character table — Group #70121

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222222444444444488888888888888881212121212121212121212122424
order1222223444466644446612121212888812121212242424242424242422224444444444
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
χ511111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111
χ711111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ91-1-111-1111-1-1-1-1111-1-11-111-1-1i−ii−i11-1-1ii−i−iii−i−i1-11-11-11-1ii−i−ii−i
χ101-1-111-1111-1-1-1-1111-1-11-111-1-1i−ii−i11-1-1ii−i−iii−i−i-11-11-11-11−i−iii−ii
χ111-1-111-1111-1-1-1-1111-1-11-111-1-1−ii−ii11-1-1−i−iii−i−iii1-11-11-11-1−i−iii−ii
χ121-1-111-1111-1-1-1-1111-1-11-111-1-1−ii−ii11-1-1−i−iii−i−iii-11-11-11-11ii−i−ii−i
χ131-1-111-1111-1-1-1-11-1-1111-111-1-1i−i−ii-1-111ii−i−i−i−iii1-1-111-1-11ii−i−i−ii
χ141-1-111-1111-1-1-1-11-1-1111-111-1-1i−i−ii-1-111ii−i−i−i−iii-111-1-111-1−i−iiii−i
χ151-1-111-1111-1-1-1-11-1-1111-111-1-1−iii−i-1-111−i−iiiii−i−i1-1-111-1-11−i−iiii−i
χ161-1-111-1111-1-1-1-11-1-1111-111-1-1−iii−i-1-111−i−iiiii−i−i-111-1-111-1ii−i−i−ii
χ172222222-2-2-2-22222-22-222-2-2-2-200002-22-20000000000000000000000
χ182222222-2-2-2-2222-22-2222-2-2-2-20000-22-220000000000000000000000
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
χ23222222-1-2-2-2-2-1-1-12-22-2-1-111110000-11-113−33−33−33−300000000000000
χ24222222-1-2-2-2-2-1-1-12-22-2-1-111110000-11-11−33−33−33−3300000000000000
χ25222222-1-2-2-2-2-1-1-1-22-22-1-1111100001-11-13−33−3−33−3300000000000000
χ26222222-1-2-2-2-2-1-1-1-22-22-1-1111100001-11-1−33−333−33−300000000000000
χ272222-2-222-22-22220000-2-22-22-20000000000000000002200-2-2000000
χ282222-2-222-22-22220000-2-22-22-2000000000000000000-2-20022000000
χ292222-2-22-22-222220000-2-2-22-2200000000000000002200-2-200000000
χ302222-2-22-22-222220000-2-2-22-220000000000000000-2-2002200000000
χ312-2-222-22-2-222-2-222-2-222-2-2-22200002-2-220000000000000000000000
χ322-2-222-22-2-222-2-22-222-22-2-2-2220000-222-20000000000000000000000
χ332-2-222-2-122-2-211-122-2-2-11-1-1112i−2i2i−2i-1-111−i−iii−i−iii00000000000000
χ342-2-222-2-122-2-211-122-2-2-11-1-111−2i2i−2i2i-1-111ii−i−iii−i−i00000000000000
χ352-2-222-2-122-2-211-1-2-222-11-1-1112i−2i−2i2i11-1-1−i−iiiii−i−i00000000000000
χ362-2-222-2-122-2-211-1-2-222-11-1-111−2i2i2i−2i11-1-1ii−i−i−i−iii00000000000000
χ372-2-222-2-1-2-22211-12-2-22-1111-1-10000-111-1−i3i3i3−i3−i3i3i3−i300000000000000
χ382-2-222-2-1-2-22211-12-2-22-1111-1-10000-111-1i3−i3−i3i3i3−i3−i3i300000000000000
χ392-2-222-2-1-2-22211-1-222-2-1111-1-100001-1-11−i3i3i3−i3i3−i3−i3i300000000000000
χ402-2-222-2-1-2-22211-1-222-2-1111-1-100001-1-11i3−i3−i3i3−i3i3i3−i300000000000000
χ412-2-22-2222-2-22-2-220000-222-2-220000000000000000002-200-22000000
χ422-2-22-2222-2-22-2-220000-222-2-22000000000000000000-22002-2000000
χ432-2-22-222-222-2-2-220000-22-222-200000000000000002-200-2200000000
χ442-2-22-222-222-2-2-220000-22-222-20000000000000000-22002-200000000
χ454444-4-4-24-44-4-2-2-2000022-22-22000000000000000000000000000000
χ464444-4-4-2-44-44-2-2-20000222-22-2000000000000000000000000000000
χ4744-4-400400004-4-400000000000000000000000000000000002-22-200
χ4844-4-400400004-4-40000000000000000000000000000000000-22-2200
χ494-44-40040000-44-400000000000000000000000000000000002i−2i−2i2i00
χ504-44-40040000-44-40000000000000000000000000000000000−2i2i2i−2i00
χ514-4-44-44-24-4-4422-200002-2-222-2000000000000000000000000000000
χ524-4-44-44-2-444-422-200002-22-2-22000000000000000000000000000000
χ5388-8-800-40000-4440000000000000000000000000000000000000000
χ548-88-800-400004-440000000000000000000000000000000000000000

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