Finite Group Databasebeta

← Group #83979

Character table — Group #83979

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order12222234444666444466121212122222246688121212121212242424244444444488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ711111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1
χ91111-1-11-1-11111111-1-1-1-11-1-1111-1-11-1111-111-1-1-1-111-1-11-111-1-11-11-1
χ101111-1-11-1-11111111-1-1-1-11-1-1111-1-1-11-1-1-1111-1-111-1-1111-111-1-1-11-11
χ111111-1-11-1-11111111-1-1-1-11-1-11-1-1111-1111-111-1-1-1-111-1-1-11-1-111-11-11
χ121111-1-11-1-11111111-1-1-1-11-1-11-1-111-11-1-1-1111-1-111-1-111-11-1-1111-11-1
χ131111-1-11-1-111111-1-111-1-11-1-1111-1-11-111-11-1-111-1-1-1-1111-1-1-1111-1-11
χ141111-1-11-1-111111-1-111-1-11-1-1111-1-1-11-1-11-1-1-1111111-1-11-1-1-111-111-1
χ151111-1-11-1-111111-1-111-1-11-1-11-1-1111-111-11-1-111-1-1-1-111-1111-1-1-111-1
χ161111-1-11-1-111111-1-111-1-11-1-11-1-111-11-1-11-1-1-1111111-1-1-1111-1-11-1-11
χ172222222-2-2-2-2222000022-2-2-2-222220000000000000000-2-200000000
χ182222222-2-2-2-2222000022-2-2-2-2-2-2-2-200000000000000002200000000
χ19222222-12222-1-1-12222-1-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-10000000000
χ20222222-12222-1-1-12222-1-1-1-1-1-10000-2-211-2-2-1-1-1-11111110000000000
χ21222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1000022-1-1-2-21111-1-111110000000000
χ22222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-21122111111-1-1-1-10000000000
χ232222-2-2222-2-22220000-2-2-222-222-2-20000000000000000-2200000000
χ242222-2-2222-2-22220000-2-2-222-2-2-22200000000000000002-200000000
χ252222-2-2-1-2-222-1-1-122-2-211-111-100002-2-1-12-2-1-11111-1-1110000000000
χ262222-2-2-1-2-222-1-1-122-2-211-111-10000-2211-22-1-111-1-111-1-10000000000
χ272222-2-2-1-2-222-1-1-1-2-22211-111-100002-2-1-1-2211-1-11111-1-10000000000
χ282222-2-2-1-2-222-1-1-1-2-22211-111-10000-22112-211-1-1-1-1-1-1110000000000
χ292-2-222-222-22-2-2-222-22-22-2-22-2200000000002-22-20000000000000000
χ302-2-222-222-22-2-2-22-22-222-2-22-220000000000-22-220000000000000000
χ312-2-222-22-22-22-2-2200002-22-22-200000000000000000000002-22-20000
χ322-2-222-22-22-22-2-2200002-22-22-20000000000000000000000-22-220000
χ332-2-222-2-12-22-211-12-22-2-111-11-1000000i3−i300-11-11i3−i3i3−i3i3−i30000000000
χ342-2-222-2-12-22-211-12-22-2-111-11-1000000−i3i300-11-11−i3i3−i3i3−i3i30000000000
χ352-2-222-2-12-22-211-1-22-22-111-11-1000000i3−i3001-11-1i3−i3−i3i3−i3i30000000000
χ362-2-222-2-12-22-211-1-22-22-111-11-1000000−i3i3001-11-1−i3i3i3−i3i3−i30000000000
χ372-2-22-2222-2-22-2-220000-2222-2-200000000000000000000002-2-220000
χ382-2-22-2222-2-22-2-220000-2222-2-20000000000000000000000-222-20000
χ392-2-22-222-222-2-2-222-2-22-22-2-22200000000002-2-220000000000000000
χ402-2-22-222-222-2-2-22-222-2-22-2-2220000000000-222-20000000000000000
χ412-2-22-22-1-222-211-12-2-221-111-1-1000000i3−i300-111-1−i3i3i3−i3−i3i30000000000
χ422-2-22-22-1-222-211-12-2-221-111-1-1000000−i3i300-111-1i3−i3−i3i3i3−i30000000000
χ432-2-22-22-1-222-211-1-222-21-111-1-1000000i3−i3001-1-11−i3i3−i3i3i3−i30000000000
χ442-2-22-22-1-222-211-1-222-21-111-1-1000000−i3i3001-1-11i3−i3i3−i3−i3i30000000000
χ45444444-2-4-4-4-4-2-2-20000-2-22222000000000000000000000000000000
χ464444-4-4-244-4-4-2-2-20000222-2-22000000000000000000000000000000
χ4744-4-400400004-4-40000000000004-400000000000000000000000000
χ4844-4-400400004-4-4000000000000-4400000000000000000000000000
χ494-44-40040000-44-400000000004-40000000000000000000000000000
χ504-44-40040000-44-40000000000-440000000000000000000000000000
χ514-4-444-4-2-44-4422-20000-22-22-22000000000000000000000000000000
χ524-4-44-44-24-4-4422-200002-2-2-222000000000000000000000000000000
χ5388-8-800-40000-4440000000000000000000000000000000000000000
χ548-88-800-400004-440000000000000000000000000000000000000000

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