Finite Group Databasebeta

← Group #77753

Character table — Group #77753

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111111122222222444444444466666666888888888888888812121212121212122424
order12222222366666664444444444444444444412121212121212121212121212122222224424
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1
χ91111111111111111-1-111-1-111-1-11111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-111-11
χ101111111111111111-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1
χ111111111111111111-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111111-1
χ121111111111111111-1-111-1-1-1-111-1-1-1-11111-11-1-1-1-111-1-1-1-111111111-1-1-1-1-11
χ131111111111111111-1-1-1-11111-1-11111-1-1-1-1-11-1-111-1-1-1-111-1-1111111-1-1-1-11-1
χ141111111111111111-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-1-1-111-1-111-1-1-1-11111-11
χ151111111111111111-1-1-1-111-1-1111111-1-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-1-11
χ161111111111111111-1-1-1-111-1-111-1-1-1-111111-1-1-111-1-111-1-111-1-1-1-111-1-1111-1
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
χ1922222222-1-1-1-1-1-1-1-122-2-2-2-2222200000000-2-2-1-1111111-1-1-1-1110000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-20000000022-1-11111-1-11111-1-10000000000
χ2122222222-1-1-1-1-1-1-1-1-2-222-2-222-2-2000000002-21111-1-1-1-1-1-111110000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-2-2-22200000000-221111-1-11111-1-1-1-10000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-22222-2-200000000-2211-1-11111-1-111-1-10000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-222-2-222000000002-211-1-111-1-111-1-1110000000000
χ252222-2-2-2-222-2-22-22-2000000002i−2i2i2i−2i−2i00000000000000002i−2i0000002-20000
χ262222-2-2-2-222-2-22-22-2000000002i−2i−2i−2i2i2i00000000000000002i−2i000000-220000
χ272222-2-2-2-222-2-22-22-200000000−2i2i2i2i−2i−2i0000000000000000−2i2i000000-220000
χ282222-2-2-2-222-2-22-22-200000000−2i2i−2i−2i2i2i0000000000000000−2i2i0000002-20000
χ2922-2-22-22-2222-2-22-2-200002-2000000002i2i−2i−2i00002-200000000000000002i−2i00
χ3022-2-22-22-2222-2-22-2-200002-200000000−2i−2i2i2i00002-20000000000000000−2i2i00
χ3122-2-22-22-2222-2-22-2-20000-22000000002i2i−2i−2i0000-220000000000000000−2i2i00
χ3222-2-22-22-2222-2-22-2-20000-2200000000−2i−2i2i2i0000-2200000000000000002i−2i00
χ332-22-222-2-22-2222-2-2-22-2000000002i−2i2i−2i2i−2i2i−2i002-20000000000000000000000
χ342-22-222-2-22-2222-2-2-22-200000000−2i2i−2i2i−2i2i−2i2i002-20000000000000000000000
χ352-22-222-2-22-2222-2-2-2-22000000002i−2i2i−2i−2i2i−2i2i00-220000000000000000000000
χ362-22-222-2-22-2222-2-2-2-2200000000−2i2i−2i2i2i−2i2i−2i00-220000000000000000000000
χ372-22-2-2-2222-2-2-222-220000002-2002-2-22000000000000002-20000002-2000000
χ382-22-2-2-2222-2-2-222-220000002-200-222-2000000000000002-2000000-22000000
χ392-22-2-2-2222-2-2-222-22000000-22002-2-2200000000000000-22000000-22000000
χ402-22-2-2-2222-2-2-222-22000000-2200-222-200000000000000-220000002-2000000
χ412-2-222-2-222-22-2-2-222002-200000000002-2-220000002-2000000002-200000000
χ422-2-222-2-222-22-2-2-222002-20000000000-222-20000002-200000000-2200000000
χ432-2-222-2-222-22-2-2-22200-2200000000002-2-22000000-2200000000-2200000000
χ442-2-222-2-222-22-2-2-22200-220000000000-222-2000000-22000000002-200000000
χ454444-4-4-4-4-2-222-22-22000000004i−4i00000000000000000000−2i2i000000000000
χ464444-4-4-4-4-2-222-22-2200000000−4i4i000000000000000000002i−2i000000000000
χ4744-4-44-44-4-2-2-222-22200004-40000000000000000-2200000000000000000000
χ4844-4-44-44-4-2-2-222-2220000-4400000000000000002-200000000000000000000
χ4944-4-4-44-4444-44-4-4-4400000000000000000000000000000000000000000000
χ5044-4-4-44-44-2-22-2222-20000000000000000000000000023−230000000000000000
χ5144-4-4-44-44-2-22-2222-200000000000000000000000000−23230000000000000000
χ524-44-444-4-4-22-2-2-22224-4000000000000000000-220000000000000000000000
χ534-44-444-4-4-22-2-2-2222-440000000000000000002-20000000000000000000000
χ544-44-4-4-444-2222-2-22-20000004-400000000000000000000-2200000000000000
χ554-44-4-4-444-2222-2-22-2000000-44000000000000000000002-200000000000000
χ564-4-444-4-44-22-2222-2-2004-400000000000000000000-22000000000000000000
χ574-4-444-4-44-22-2222-2-200-44000000000000000000002-2000000000000000000
χ584-4-44-444-44-4-44-444-400000000000000000000000000000000000000000000
χ594-4-44-444-4-222-22-2-220000000000000000000000000000000023−230000000000
χ604-4-44-444-4-222-22-2-2200000000000000000000000000000000−23230000000000

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