Finite Group Databasebeta

← Group #71850

Character table — Group #71850

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222222244444488888888888888888812121212242424242424
order12222222223666666666224444666612121212121212124444444444
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ4111111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-11-1-11-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ611111111111111111111-11-1-11-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111
χ711111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ92222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222222-1-1-1-1-1-1-1-1-1-12-2-22-2-2-1-1111111-1-1110000000000
χ112222222222-1-1-1-1-1-1-1-1-1-1-22-2-22-211-1-1111111-1-10000000000
χ122222222222-1-1-1-1-1-1-1-1-1-1-2-22-2-221111-1-1-1-111110000000000
χ1322222-2-22-2-2222222-2-2-2-200200-2000022-2-200000000000000
χ1422222-2-22-2-2222222-2-2-2-200-20020000-2-22200000000000000
χ1522222-2-22-2-2-1-1-1-1-1-1111100200-2−i3i3−i3i3-1-111−i3i3−i3i30000000000
χ1622222-2-22-2-2-1-1-1-1-1-1111100200-2i3−i3i3−i3-1-111i3−i3i3−i30000000000
χ1722222-2-22-2-2-1-1-1-1-1-1111100-2002−i3i3i3−i311-1-1−i3i3i3−i30000000000
χ1822222-2-22-2-2-1-1-1-1-1-1111100-2002i3−i3−i3i311-1-1i3−i3−i3i30000000000
χ192222-22-2-22-22222-2-222-2-20200-200022000000-2-20000000000
χ202222-22-2-22-22222-2-222-2-20-2002000-2-2000000220000000000
χ212222-22-2-22-2-1-1-1-111-1-1110200-20−i3i3-1-1−i3i3−i3i3i3−i3110000000000
χ222222-22-2-22-2-1-1-1-111-1-1110200-20i3−i3-1-1i3−i3i3−i3−i3i3110000000000
χ232222-22-2-22-2-1-1-1-111-1-1110-20020−i3i311i3−i3i3−i3i3−i3-1-10000000000
χ242222-22-2-22-2-1-1-1-111-1-1110-20020i3−i311−i3i3−i3i3−i3i3-1-10000000000
χ252222-2-22-2-222222-2-2-2-222200-20022000000-2-2000000000000
χ262222-2-22-2-222222-2-2-2-222-200200-2-200000022000000000000
χ272222-2-22-2-22-1-1-1-11111-1-1200-200-1-1−i3i3−i3i3i3−i311i3−i30000000000
χ282222-2-22-2-22-1-1-1-11111-1-1200-200-1-1i3−i3i3−i3−i3i311−i3i30000000000
χ292222-2-22-2-22-1-1-1-11111-1-1-20020011−i3i3i3−i3−i3i3-1-1i3−i30000000000
χ302222-2-22-2-22-1-1-1-11111-1-1-20020011i3−i3−i3i3i3−i3-1-1−i3i30000000000
χ312-22-222-2-2-222-2-222-22-22-20000000000000000000000002i−2i00
χ322-22-222-2-2-222-2-222-22-22-2000000000000000000000000−2i2i00
χ332-22-22-22-22-22-2-222-2-22-2200000000000000000000002i−2i0000
χ342-22-22-22-22-22-2-222-2-22-220000000000000000000000−2i2i0000
χ352-22-2-2222-2-22-2-22-222-2-220000000000000000002i2i−2i−2i000000
χ362-22-2-2222-2-22-2-22-222-2-22000000000000000000−2i−2i2i2i000000
χ372-22-2-2-2-22222-2-22-22-222-2000000000000000000000000002-2
χ382-22-2-2-2-22222-2-22-22-222-200000000000000000000000000-22
χ3944-4-400000044-4-40000000000000000000000002i−2i2i−2i000000
χ4044-4-400000044-4-4000000000000000000000000−2i2i−2i2i000000
χ414-44-444-4-4-44-222-2-22-22-220000000000000000000000000000
χ424-44-44-44-44-4-222-2-222-22-20000000000000000000000000000
χ434-44-4-4444-4-4-222-22-2-222-20000000000000000000000000000
χ444-44-4-4-4-4444-222-22-22-2-220000000000000000000000000000
χ454-4-440000004-44-40000000000000000000000002-2-22000000
χ464-4-440000004-44-4000000000000000000000000-222-2000000
χ4788-8-8000000-4-4440000000000000000000000000000000000
χ488-8-88000000-44-440000000000000000000000000000000000

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