Finite Group Databasebeta

← Group #71894

Character table — Group #71894

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222222244444488888888888888888812121212242424242424
order122222222236666666664444441212121212121212121212124444444444
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ92222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000
χ112222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000
χ122222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000
χ1322222-2-22-2-2222222-2-2-2-200002-20000000022-2-20000000000
χ1422222-2-22-2-2222222-2-2-2-20000-2200000000-2-2220000000000
χ1522222-2-22-2-2-1-1-1-1-1-1111100002-2−i3−i3i3i3−i3−i3i3i3-1-1110000000000
χ1622222-2-22-2-2-1-1-1-1-1-1111100002-2i3i3−i3−i3i3i3−i3−i3-1-1110000000000
χ1722222-2-22-2-2-1-1-1-1-1-111110000-22−i3−i3i3i3i3i3−i3−i311-1-10000000000
χ1822222-2-22-2-2-1-1-1-1-1-111110000-22i3i3−i3−i3−i3−i3i3i311-1-10000000000
χ192222-22-2-22-22222-2-222-2-2002-20000002-22-200000000000000
χ202222-22-2-22-22222-2-222-2-200-22000000-22-2200000000000000
χ212222-22-2-22-2-1-1-1-111-1-111002-200−i3i3−i3i3-11-11−i3i3−i3i30000000000
χ222222-22-2-22-2-1-1-1-111-1-111002-200i3−i3i3−i3-11-11i3−i3i3−i30000000000
χ232222-22-2-22-2-1-1-1-111-1-11100-2200−i3i3−i3i31-11-1i3−i3i3−i30000000000
χ242222-22-2-22-2-1-1-1-111-1-11100-2200i3−i3i3−i31-11-1−i3i3−i3i30000000000
χ252222-2-22-2-222222-2-2-2-2222-200002-2-22000000000000000000
χ262222-2-22-2-222222-2-2-2-222-220000-222-2000000000000000000
χ272222-2-22-2-22-1-1-1-11111-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i30000000000
χ282222-2-22-2-22-1-1-1-11111-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i30000000000
χ292222-2-22-2-22-1-1-1-11111-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i30000000000
χ302222-2-22-2-22-1-1-1-11111-1-1-2200001-1-11i3−i3−i3i3−i3i3i3−i30000000000
χ312-2-22222-2-2-222-2-22-22-22-200000000000000000022-2-2000000
χ322-2-22222-2-2-222-2-22-22-22-2000000000000000000-2-222000000
χ332-2-222-2-2-22222-2-22-2-22-22000000000000000000000000002i−2i
χ342-2-222-2-2-22222-2-22-2-22-2200000000000000000000000000−2i2i
χ352-2-22-22-22-2222-2-2-222-2-220000000000000000000000002i−2i00
χ362-2-22-22-22-2222-2-2-222-2-22000000000000000000000000−2i2i00
χ372-2-22-2-2222-222-2-2-22-222-200000000000000000000002i−2i0000
χ382-2-22-2-2222-222-2-2-22-222-20000000000000000000000−2i2i0000
χ3944-4-40000004-44-40000000000000000000000002i−2i2i−2i000000
χ4044-4-40000004-44-4000000000000000000000000−2i2i−2i2i000000
χ414-44-40000004-4-440000000000000000000000002i−2i−2i2i000000
χ424-44-40000004-4-44000000000000000000000000−2i2i2i−2i000000
χ434-4-44444-4-4-4-2-222-22-22-220000000000000000000000000000
χ444-4-444-4-4-444-2-222-222-22-20000000000000000000000000000
χ454-4-44-44-44-44-2-2222-2-222-20000000000000000000000000000
χ464-4-44-4-4444-4-2-2222-22-2-220000000000000000000000000000
χ4788-8-8000000-44-440000000000000000000000000000000000
χ488-88-8000000-444-40000000000000000000000000000000000

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