Finite Group Databasebeta

← Group #77535

Character table — Group #77535

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111111122222222444444444466666666888888888888888812121212121212122424
order122222223666666622444444444444444444661212121212121212121212122244444424
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1
χ91111111111111111-1-111-1-111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1
χ101111111111111111-1-111-1-111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11
χ111111111111111111-1-111-1-1-1-1111111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-111-11
χ121111111111111111-1-111-1-1-1-111-1-1-1-11111-11-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ131111111111111111-1-1-1-11111-1-11111-1-1-1-1-11-1-1-1-111-1-11111-1-111-1-111-1-1-11
χ141111111111111111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-111-1-11111-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-111-1-1-1-111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11
χ1722222222-1-1-1-1-1-1-1-122222222220000000022-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1822222222-1-1-1-1-1-1-1-1222222-2-2-2-200000000-2-2-1-1-1-1-1-1111111110000000000
χ1922222222-1-1-1-1-1-1-1-122-2-2-2-2222200000000-2-2-1-11111-1-111-1-1110000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-20000000022-1-1111111-1-111-1-10000000000
χ2122222222-1-1-1-1-1-1-1-1-2-222-2-222-2-2000000002-211-1-1111111-1-1-1-10000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-2-2-22200000000-2211-1-111-1-1-1-111110000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-22222-2-200000000-221111-1-111-1-1-1-1110000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-222-2-222000000002-21111-1-1-1-11111-1-10000000000
χ252222-2-2-2-22-2-222-2-22002-200000000002i2i−2i−2i00002-2000000000000002i−2i0000
χ262222-2-2-2-22-2-222-2-22002-20000000000−2i−2i2i2i00002-200000000000000−2i2i0000
χ272222-2-2-2-22-2-222-2-2200-2200000000002i2i−2i−2i0000-2200000000000000−2i2i0000
χ282222-2-2-2-22-2-222-2-2200-220000000000−2i−2i2i2i0000-22000000000000002i−2i0000
χ2922-2-22-22-222-22-22-2-20000002i−2i002i2i−2i−2i00000000000000002i−2i002-200000000
χ3022-2-22-22-222-22-22-2-20000002i−2i00−2i−2i2i2i00000000000000002i−2i00-2200000000
χ3122-2-22-22-222-22-22-2-2000000−2i2i002i2i−2i−2i0000000000000000−2i2i00-2200000000
χ3222-2-22-22-222-22-22-2-2000000−2i2i00−2i−2i2i2i0000000000000000−2i2i002-200000000
χ332-22-2-222-22-22-222-2-2000000002i−2i2i−2i2i−2i0000000000002i−2i0000000000002-200
χ342-22-2-222-22-22-222-2-2000000002i−2i−2i2i−2i2i0000000000002i−2i000000000000-2200
χ352-22-2-222-22-22-222-2-200000000−2i2i2i−2i2i−2i000000000000−2i2i000000000000-2200
χ362-22-2-222-22-22-222-2-200000000−2i2i−2i2i−2i2i000000000000−2i2i0000000000002-200
χ372-2-2222-2-2222-2-2-2-2200002i−2i000000002i−2i2i−2i0000002i−2i00000000002-2000000
χ382-2-2222-2-2222-2-2-2-2200002i−2i00000000−2i2i−2i2i0000002i−2i0000000000-22000000
χ392-2-2222-2-2222-2-2-2-220000−2i2i000000002i−2i2i−2i000000−2i2i0000000000-22000000
χ402-2-2222-2-2222-2-2-2-220000−2i2i00000000−2i2i−2i2i000000−2i2i00000000002-2000000
χ412-2-22-2-2222-2-2-2-22222-2000000002-2-222-2-22002-20000000000000000000000
χ422-2-22-2-2222-2-2-2-22222-200000000-222-2-222-2002-20000000000000000000000
χ432-2-22-2-2222-2-2-2-2222-22000000002-2-22-222-200-220000000000000000000000
χ442-2-22-2-2222-2-2-2-2222-2200000000-222-22-2-2200-220000000000000000000000
χ454444-4-4-4-4-222-2-222-2004-4000000000000000000-2200000000000000000000
χ464444-4-4-4-4-222-2-222-200-440000000000000000002-200000000000000000000
χ4744-4-44-44-4-2-22-22-2220000004i−4i0000000000000000000000−2i2i000000000000
χ4844-4-44-44-4-2-22-22-222000000−4i4i00000000000000000000002i−2i000000000000
χ4944-4-4-44-444-444-4-44-400000000000000000000000000000000000000000000
χ5044-4-4-44-44-22-2-222-220000000000000000000000000000000023−230000000000
χ5144-4-4-44-44-22-2-222-2200000000000000000000000000000000−23230000000000
χ524-44-44-4-4444-4-44-44-400000000000000000000000000000000000000000000
χ534-44-44-4-44-2-222-22-22000000000000000000000000000023−2300000000000000
χ544-44-44-4-44-2-222-22-220000000000000000000000000000−232300000000000000
χ554-44-4-444-4-22-22-2-222000000004i−4i0000000000000000−2i2i0000000000000000
χ564-44-4-444-4-22-22-2-22200000000−4i4i00000000000000002i−2i0000000000000000
χ574-4-4444-4-4-2-2-22222-200004i−4i000000000000000000−2i2i000000000000000000
χ584-4-4444-4-4-2-2-22222-20000−4i4i0000000000000000002i−2i000000000000000000
χ594-4-44-4-444-22222-2-2-24-4000000000000000000-220000000000000000000000
χ604-4-44-4-444-22222-2-2-2-440000000000000000002-20000000000000000000000

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