Finite Group Databasebeta

← Group #83116

Character table — Group #83116

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222244444444444444444444448888888888121212121212121224242424
order122222223666666644444444441212121212121212121212122466121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ411111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ5111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1111
χ6111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1
χ7111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-11-1
χ8111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-11
χ91111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-11111-1-111-11-1-1
χ101111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11-111
χ111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-111111111-1-1-1-1-11
χ121111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-111111-1
χ131111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1
χ141111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111-1-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-111-1
χ1722222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ1822222222-1-1-1-1-1-1-1-12222-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000
χ1922222222-1-1-1-1-1-1-1-122-2-222-2-2-2-2-1-1-1-1111111112-2-1-1-1-11111000000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-2-2-222-1-1-1-111111111-221111-1-1-1-1000000000000
χ2122222222-1-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-11111-2211-1-1-1-111000000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-2-2-2221111-1-1-1-111112-2-1-11111-1-1000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-222222211111111-1-1-1-1-2-211-1-111-1-1000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-211111111-1-1-1-122-1-111-1-111000000000000
χ2522-22-2-2-22222-2-22-2-2002i−2i00000000002i2i−2i−2i000000000000002-22i−2i00000000
χ2622-22-2-2-22222-2-22-2-2002i−2i00000000002i2i−2i−2i00000000000000-22−2i2i00000000
χ2722-22-2-2-22222-2-22-2-200−2i2i0000000000−2i−2i2i2i000000000000002-2−2i2i00000000
χ2822-22-2-2-22222-2-22-2-200−2i2i0000000000−2i−2i2i2i00000000000000-222i−2i00000000
χ2922-2-22-22-222-22-2-22-22i−2i000000002i2i−2i−2i00000000000000000000002-22i−2i0000
χ3022-2-22-22-222-22-2-22-22i−2i000000002i2i−2i−2i0000000000000000000000-22−2i2i0000
χ3122-2-22-22-222-22-2-22-2−2i2i00000000−2i−2i2i2i00000000000000000000002-2−2i2i0000
χ3222-2-22-22-222-22-2-22-2−2i2i00000000−2i−2i2i2i0000000000000000000000-222i−2i0000
χ332-2-22-222-22-2-2-2-222200002-22-22-20000000022-2-200002-2002-2000000000000
χ342-2-22-222-22-2-2-2-222200002-2-22-2200000000-2-22200002-200-22000000000000
χ352-2-22-222-22-2-2-2-22220000-222-2-220000000022-2-20000-2200-22000000000000
χ362-2-22-222-22-2-2-2-22220000-22-222-200000000-2-2220000-22002-2000000000000
χ372-2-22-222-2-11111-1-1-100002-22-22-2−i3i3−i3i3−i3i3−i3i3-1-11100−i3i3-11−i3i3-11000000000000
χ382-2-22-222-2-11111-1-1-100002-22-22-2i3−i3i3−i3i3−i3i3−i3-1-11100i3−i3-11i3−i3-11000000000000
χ392-2-22-222-2-11111-1-1-100002-2-22-22−i3i3−i3i3i3−i3i3−i311-1-100−i3i3-11i3−i31-1000000000000
χ402-2-22-222-2-11111-1-1-100002-2-22-22i3−i3i3−i3−i3i3−i3i311-1-100i3−i3-11−i3i31-1000000000000
χ412-2-22-222-2-11111-1-1-10000-222-2-22−i3i3−i3i3−i3i3−i3i3-1-11100i3−i31-1i3−i31-1000000000000
χ422-2-22-222-2-11111-1-1-10000-222-2-22i3−i3i3−i3i3−i3i3−i3-1-11100−i3i31-1−i3i31-1000000000000
χ432-2-22-222-2-11111-1-1-10000-22-222-2−i3i3−i3i3i3−i3i3−i311-1-100i3−i31-1−i3i3-11000000000000
χ442-2-22-222-2-11111-1-1-10000-22-222-2i3−i3i3−i3−i3i3−i3i311-1-100−i3i31-1i3−i3-11000000000000
χ45444-4-44-4-444-4-44-4-4400000000000000000000000000000000000000000000
χ46444-4-44-4-4-2-222-222-200000000000000000023−2323−230000000000000000000000
χ47444-4-44-4-4-2-222-222-2000000000000000000−2323−23230000000000000000000000
χ4844-44-4-4-44-2-2-222-222004i−4i0000000000−2i−2i2i2i00000000000000000000000000
χ4944-44-4-4-44-2-2-222-22200−4i4i00000000002i2i−2i−2i00000000000000000000000000
χ5044-4-44-44-4-2-22-222-224i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ5144-4-44-44-4-2-22-222-22−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ524-4444-4-4-44-4-4444-4-400000000000000000000000000000000000000000000
χ534-4444-4-4-4-222-2-2-2220000000000000023−23−232300000000000000000000000000
χ544-4444-4-4-4-222-2-2-22200000000000000−232323−2300000000000000000000000000
χ554-44-4-4-4444-44-44-44-400000000000000000000000000000000000000000000
χ564-44-4-4-444-22-22-22-22000000000023−23−2323000000000000000000000000000000
χ574-44-4-4-444-22-22-22-220000000000−232323−23000000000000000000000000000000
χ584-4-4-444-444-444-4-4-4400000000000000000000000000000000000000000000
χ594-4-4-444-44-22-2-2222-200000000000000000023−23−23230000000000000000000000
χ604-4-4-444-44-22-2-2222-2000000000000000000−232323−230000000000000000000000

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