Finite Group Databasebeta

← Group #85520

Character table — Group #85520

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122668888888812121212122424111122668888888812121212122424
order122244443666121212122888824222244446666121212122888824
χ11111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1
χ41111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11
χ522222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-12000000
χ62222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-2000000
χ722-2-22i−2i00-11-11ii−i−i0−i2i22−20022-2-22i−2i00-11-11ii−i−i0−i2i22−200
χ822-2-22i−2i00-11-11ii−i−i0i2−i2−220022-2-22i−2i00-11-11ii−i−i0i2−i2−2200
χ922-2-2−2i2i00-11-11−i−iii0−i2i2−220022-2-2−2i2i00-11-11−i−iii0−i2i2−2200
χ1022-2-2−2i2i00-11-11−i−iii0i2−i22−20022-2-2−2i2i00-11-11−i−iii0i2−i22−200
χ112-22-2002-22-2-22000000000002-22-2002-22-2-2200000000000
χ122-22-2002-2-111-1−i3i3−i3i300000002-22-2002-2-111-1−i3i3−i3i30000000
χ132-22-2002-2-111-1i3−i3i3−i300000002-22-2002-2-111-1i3−i3i3−i30000000
χ14333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1
χ15333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111
χ163333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-11
χ173333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-1
χ1844-4-44i−4i001-11-1−i−iii000000044-4-44i−4i001-11-1−i−iii0000000
χ1944-4-4−4i4i001-11-1ii−i−i000000044-4-4−4i4i001-11-1ii−i−i0000000
χ204-4-44000011-1-13−3−3300000004-4-44000011-1-13−3−330000000
χ214-4-44000011-1-1−333−300000004-4-44000011-1-1−333−30000000
χ224-4-440000-2-222000000000004-4-440000-2-22200000000000
χ236-66-600-220000000000000006-66-600-22000000000000000
χ2411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111-1-1111111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-111111-1-111-11
χ271111-1-1111111-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111111-1-11-1
χ2822222222-1-1-1-1-1-1-1-12000000-2-2-2-2-2-2-2-211111111-2000000
χ292222-2-222-1-1-1-11111-2000000-2-2-2-222-2-21111-1-1-1-12000000
χ3022-2-22i−2i00-11-11ii−i−i0−i2i22−200-2-222−2i2i001-11-1−i−iii0i2−i2−2200
χ3122-2-22i−2i00-11-11ii−i−i0i2−i2−2200-2-222−2i2i001-11-1−i−iii0−i2i22−200
χ3222-2-2−2i2i00-11-11−i−iii0−i2i2−2200-2-2222i−2i001-11-1ii−i−i0i2−i22−200
χ3322-2-2−2i2i00-11-11−i−iii0i2−i22−200-2-2222i−2i001-11-1ii−i−i0−i2i2−2200
χ342-22-2002-22-2-2200000000000-22-2200-22-222-200000000000
χ352-22-2002-2-111-1−i3i3−i3i30000000-22-2200-221-1-11i3−i3i3−i30000000
χ362-22-2002-2-111-1i3−i3i3−i30000000-22-2200-221-1-11−i3i3−i3i30000000
χ37333333-1-100000000-11111-1-1-3-3-3-3-3-311000000001-1-1-1-111
χ38333333-1-100000000-1-1-1-1-111-3-3-3-3-3-3110000000011111-1-1
χ393333-3-3-1-100000000111-1-1-11-3-3-3-3331100000000-1-1-1111-1
χ403333-3-3-1-1000000001-1-1111-1-3-3-3-3331100000000-111-1-1-11
χ4144-4-44i−4i001-11-1−i−iii0000000-4-444−4i4i00-11-11ii−i−i0000000
χ4244-4-4−4i4i001-11-1ii−i−i0000000-4-4444i−4i00-11-11−i−iii0000000
χ434-4-44000011-1-13−3−330000000-444-40000-1-111−333−30000000
χ444-4-44000011-1-1−333−30000000-444-40000-1-1113−3−330000000
χ454-4-440000-2-22200000000000-444-4000022-2-200000000000
χ466-66-600-22000000000000000-66-66002-2000000000000000

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