Finite Group Databasebeta

← Group #78147

Character table — Group #78147

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111111122222222444444444466666666888888888888888812121212121212122424
order12222222366666664444444444444444444412121212121212121212121212122244444444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-111-1-111-1-11111-1-1-1-1-11-1-111-1-1-1-111-1-11111-1-111-1-11-1
χ101111111111111111-1-111-1-111-1-1-1-1-1-11111-11-1-111-1-1-1-111-1-111-1-111-1-111-11
χ111111111111111111-1-111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11
χ121111111111111111-1-111-1-1-1-111-1-1-1-111111-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ131111111111111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11
χ141111111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1
χ151111111111111111-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-111-1-1-1-11111-11-1-1-1-1-1-111-1-1111111-1-111-1-1-11
χ1722222222-1-1-1-1-1-1-1-122222222220000000022-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1822222222-1-1-1-1-1-1-1-1222222-2-2-2-200000000-2-2-1-1-1-111-1-11111110000000000
χ1922222222-1-1-1-1-1-1-1-122-2-2-2-2222200000000-2-2-1-1111111-1-1-1-1110000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-20000000022-1-111-1-1111111-1-10000000000
χ2122222222-1-1-1-1-1-1-1-1-2-222-2-222-2-200000000-2211-1-11111-1-111-1-10000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-2-2-222000000002-211-1-1-1-11111-1-1110000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-22222-2-2000000002-21111-1-1-1-1-1-111110000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-222-2-22200000000-22111111-1-111-1-1-1-10000000000
χ2522-2-22-2-2222-22-2-22-22i−2i000000002i2i−2i−2i22-2-2002i−2i0000000000000000000000
χ2622-2-22-2-2222-22-2-22-22i−2i00000000−2i−2i2i2i-2-222002i−2i0000000000000000000000
χ2722-2-22-2-2222-22-2-22-2−2i2i000000002i2i−2i−2i-2-22200−2i2i0000000000000000000000
χ2822-2-22-2-2222-22-2-22-2−2i2i00000000−2i−2i2i2i22-2-200−2i2i0000000000000000000000
χ292-222-2-2-222-22-22-22-2002i−2i00000000002-22-200002i−2i0000000000002i−2i000000
χ302-222-2-2-222-22-22-22-2002i−2i0000000000-22-2200002i−2i000000000000−2i2i000000
χ312-222-2-2-222-22-22-22-200−2i2i00000000002-22-20000−2i2i000000000000−2i2i000000
χ322-222-2-2-222-22-22-22-200−2i2i0000000000-22-220000−2i2i0000000000002i−2i000000
χ332-22-22-22-22-2-2222-2-20000002i−2i002i−2i2i−2i000000000000002i−2i00002-200000000
χ342-22-22-22-22-2-2222-2-20000002i−2i00−2i2i−2i2i000000000000002i−2i0000-2200000000
χ352-22-22-22-22-2-2222-2-2000000−2i2i002i−2i2i−2i00000000000000−2i2i0000-2200000000
χ362-22-22-22-22-2-2222-2-2000000−2i2i00−2i2i−2i2i00000000000000−2i2i00002-200000000
χ372-2-2222-2-22-222-2-2-22000000002i−2i2-2-2200000000000000002i−2i000000002i−2i00
χ382-2-2222-2-22-222-2-2-22000000002i−2i-222-200000000000000002i−2i00000000−2i2i00
χ392-2-2222-2-22-222-2-2-2200000000−2i2i2-2-220000000000000000−2i2i00000000−2i2i00
χ402-2-2222-2-22-222-2-2-2200000000−2i2i-222-20000000000000000−2i2i000000002i−2i00
χ412-2-2-2-22222-2-2-2-222200002-2000000002-2-22000000002-200000000002-20000
χ422-2-2-2-22222-2-2-2-222200002-200000000-222-2000000002-20000000000-220000
χ432-2-2-2-22222-2-2-2-22220000-22000000002-2-2200000000-220000000000-220000
χ442-2-2-2-22222-2-2-2-22220000-2200000000-222-200000000-2200000000002-20000
χ45444-4-44-4-444-4-44-4-4400000000000000000000000000000000000000000000
χ46444-4-44-4-4-2-222-222-20000000000000000000000000000000023−230000000000
χ47444-4-44-4-4-2-222-222-200000000000000000000000000000000−23230000000000
χ4844-44-4-44-4444-4-44-4-400000000000000000000000000000000000000000000
χ4944-44-4-44-4-2-2-222-222000000000000000000000000−2i32i3000000000000000000
χ5044-44-4-44-4-2-2-222-2220000000000000000000000002i3−2i3000000000000000000
χ5144-4-44-4-44-2-22-222-224i−4i000000000000000000−2i2i0000000000000000000000
χ5244-4-44-4-44-2-22-222-22−4i4i0000000000000000002i−2i0000000000000000000000
χ534-444-4-4-44-22-22-22-22004i−4i000000000000000000−2i2i00000000000000000000
χ544-444-4-4-44-22-22-22-2200−4i4i0000000000000000002i−2i00000000000000000000
χ554-44-44-44-4-222-2-2-2220000004i−4i00000000000000000000−2i2i00000000000000
χ564-44-44-44-4-222-2-2-222000000−4i4i000000000000000000002i−2i00000000000000
χ574-4-4444-4-4-22-2-2222-2000000004i−4i00000000000000000000−2i2i000000000000
χ584-4-4444-4-4-22-2-2222-200000000−4i4i000000000000000000002i−2i000000000000
χ594-4-4-4-4444-22222-2-2-200004-400000000000000000000-220000000000000000
χ604-4-4-4-4444-22222-2-2-20000-44000000000000000000002-20000000000000000

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