Finite Group Databasebeta

← Group #68993

Character table — Group #68993

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order1222223444466666888812121212224444881212121224242424242424242488884488
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
χ51111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ71111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ91111111-1-1-1-111111ii−i−i-1-1-1-111-1-11-1i−i11-1-1ii−i−iii−i−i1-1ii−i−i1-1i−i
χ101111111-1-1-1-111111ii−i−i-1-1-1-111-1-1-11−ii-1-111ii−i−i−i−iii1-1ii−i−i-11−ii
χ111111111-1-1-1-111111ii−i−i-1-1-1-1-1-1111-1i−i11-1-1ii−i−iii−i−i-11−i−iii-11−ii
χ121111111-1-1-1-111111ii−i−i-1-1-1-1-1-111-11−ii-1-111ii−i−i−i−iii-11−i−iii1-1i−i
χ131111111-1-1-1-111111−i−iii-1-1-1-111-1-11-1−ii11-1-1−i−iii−i−iii1-1−i−iii1-1−ii
χ141111111-1-1-1-111111−i−iii-1-1-1-111-1-1-11i−i-1-111−i−iiiii−i−i1-1−i−iii-11i−i
χ151111111-1-1-1-111111−i−iii-1-1-1-1-1-1111-1−ii11-1-1−i−iii−i−iii-11ii−i−i-11i−i
χ161111111-1-1-1-111111−i−iii-1-1-1-1-1-111-11i−i-1-111−i−iiiii−i−i-11ii−i−i1-1−ii
χ17222222-12222-1-1-1-1-12222-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ18222222-12222-1-1-1-1-12222-1-1-1-10000-2-2-2-21111-1-1-1-111110000000000
χ19222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-1000022-2-2-1-1-1-1111111110000000000
χ20222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-10000-2-22211111111-1-1-1-10000000000
χ21222222-1-2-2-2-2-1-1-1-1-12i2i−2i−2i111100002-22i−2i-1-111−i−iii−i−iii0000000000
χ22222222-1-2-2-2-2-1-1-1-1-12i2i−2i−2i11110000-22−2i2i11-1-1−i−iiiii−i−i0000000000
χ23222222-1-2-2-2-2-1-1-1-1-1−2i−2i2i2i111100002-2−2i2i-1-111ii−i−iii−i−i0000000000
χ24222222-1-2-2-2-2-1-1-1-1-1−2i−2i2i2i11110000-222i−2i11-1-1ii−i−i−i−iii0000000000
χ252222-2-222-2-22222-2-200002-22-222220000000000000000-2-200000000
χ262222-2-222-2-22222-2-200002-22-2-2-2-2-200000000000000002200000000
χ272222-2-22-222-2222-2-20000-22-2222-2-20000000000000000-2200000000
χ282222-2-22-222-2222-2-20000-22-22-2-22200000000000000002-200000000
χ292-2-222-2222-2-2-22-22-22i−2i2i−2i2-2-220000000000002i−2i2i−2i00000000000000
χ302-2-222-2222-2-2-22-22-2−2i2i−2i2i2-2-22000000000000−2i2i−2i2i00000000000000
χ312-2-222-22-2-222-22-22-22-2-22-222-20000000000002-2-2200000000000000
χ322-2-222-22-2-222-22-22-2-222-2-222-2000000000000-222-200000000000000
χ332-2-222-2-122-2-21-11-112i−2i2i−2i-111-1000000003−33−3−ii−ii−i3i3−i3i30000000000
χ342-2-222-2-122-2-21-11-112i−2i2i−2i-111-100000000−33−33−ii−iii3−i3i3−i30000000000
χ352-2-222-2-122-2-21-11-11−2i2i−2i2i-111-1000000003−33−3i−ii−ii3−i3i3−i30000000000
χ362-2-222-2-122-2-21-11-11−2i2i−2i2i-111-100000000−33−33i−ii−i−i3i3−i3i30000000000
χ372-2-222-2-1-2-2221-11-112-2-221-1-11000000003−3−33-111-1−333−30000000000
χ382-2-222-2-1-2-2221-11-112-2-221-1-1100000000−333−3-111-13−3−330000000000
χ392-2-222-2-1-2-2221-11-11-222-21-1-11000000003−3−331-1-113−3−330000000000
χ402-2-222-2-1-2-2221-11-11-222-21-1-1100000000−333−31-1-11−333−30000000000
χ412-2-22-2222-22-2-22-2-22000022-2-200000000000000000000002i−2i2i−2i0000
χ422-2-22-2222-22-2-22-2-22000022-2-20000000000000000000000−2i2i−2i2i0000
χ432-2-22-222-22-22-22-2-220000-2-22200000000000000000000002-2-220000
χ442-2-22-222-22-22-22-2-220000-2-2220000000000000000000000-222-20000
χ454444-4-4-24-4-44-2-2-2220000-22-22000000000000000000000000000000
χ464444-4-4-2-444-4-2-2-22200002-22-2000000000000000000000000000000
χ4744-4-400400004-4-400000000004-40000000000000000000000000000
χ4844-4-400400004-4-40000000000-440000000000000000000000000000
χ494-44-40040000-4-440000000000004i−4i00000000000000000000000000
χ504-44-40040000-4-44000000000000−4i4i00000000000000000000000000
χ514-4-44-44-24-44-42-222-20000-2-222000000000000000000000000000000
χ524-4-44-44-2-44-442-222-2000022-2-2000000000000000000000000000000
χ5388-8-800-40000-4440000000000000000000000000000000000000000
χ548-88-800-4000044-40000000000000000000000000000000000000000

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