Finite Group Databasebeta

← Group #72094

Character table — Group #72094

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222222244444488888888888888888812121212242424242424
order1222223444466666121212122224666666881212242424244444224488
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ611111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ92222222-2-2-2-222222-2-2-2-200000000000000000000002-20000
χ102222222-2-2-2-222222-2-2-2-20000000000000000000000-220000
χ11222222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ12222222-12222-1-1-1-1-1-1-1-1-122-2-2-1-1-1-111-2-21111110000000000
χ13222222-12222-1-1-1-1-1-1-1-1-1-2-2221111-1-1-2-2-1-111110000000000
χ14222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-21111112211-1-1-1-10000000000
χ152222-2-222-22-2222-2-22-2-22002-200002200-2-200000000000000
χ162222-2-222-22-2222-2-22-2-2200-220000-2-2002200000000000000
χ172222-2-22-22-22222-2-2-222-20000000000000000000000002-200
χ182222-2-22-22-22222-2-2-222-2000000000000000000000000-2200
χ192222-2-2-12-22-2-1-1-111-111-1002-2−i3−i3i3i3-1-10011−i3−i3i3i30000000000
χ202222-2-2-12-22-2-1-1-111-111-1002-2i3i3−i3−i3-1-10011i3i3−i3−i30000000000
χ212222-2-2-12-22-2-1-1-111-111-100-22−i3−i3i3i31100-1-1i3i3−i3−i30000000000
χ222222-2-2-12-22-2-1-1-111-111-100-22i3i3−i3−i31100-1-1−i3−i3i3i30000000000
χ2322-2-22-2222-2-2-2-222-222-2-2000000000000000000000000002i−2i
χ2422-2-22-2222-2-2-2-222-222-2-200000000000000000000000000−2i2i
χ2522-2-22-22-2-222-2-222-2-2-22200000000002-2002-22-20000000000
χ2622-2-22-22-2-222-2-222-2-2-2220000000000-2200-22-220000000000
χ2722-2-22-2-1-2-22211-1-1111-1-10000−i3i3−i3i3−i3i32-2−i3i3-11-110000000000
χ2822-2-22-2-1-2-22211-1-1111-1-10000−i3i3−i3i3i3−i3-22i3−i31-11-10000000000
χ2922-2-22-2-1-2-22211-1-1111-1-10000i3−i3i3−i3−i3i3-22−i3i31-11-10000000000
χ3022-2-22-2-1-2-22211-1-1111-1-10000i3−i3i3−i3i3−i32-2i3−i3-11-110000000000
χ3122-2-2-2222-2-22-2-22-222-22-200000000000000000022-2-2000000
χ3222-2-2-2222-2-22-2-22-222-22-2000000000000000000-2-222000000
χ3322-2-2-222-222-2-2-22-22-22-222-2002-2-2200000000000000000000
χ3422-2-2-222-222-2-2-22-22-22-22-2200-222-200000000000000000000
χ3522-2-2-22-1-222-211-11-11-11-12-200-111-1−i3i300i3−i3−i3i3i3−i30000000000
χ3622-2-2-22-1-222-211-11-11-11-12-200-111-1i3−i300−i3i3i3−i3−i3i30000000000
χ3722-2-2-22-1-222-211-11-11-11-1-22001-1-11−i3i300i3−i3i3−i3−i3i30000000000
χ3822-2-2-22-1-222-211-11-11-11-1-22001-1-11i3−i300−i3i3−i3i3i3−i30000000000
χ39444444-2-4-4-4-4-2-2-2-2-222220000000000000000000000000000
χ404444-4-4-2-44-44-2-2-2222-2-220000000000000000000000000000
χ4144-4-44-4-244-4-422-2-22-2-2220000000000000000000000000000
χ4244-4-4-44-24-4-4422-22-2-22-220000000000000000000000000000
χ434-44-400400004-4-40000000000000000000000002-22-2000000
χ444-44-400400004-4-4000000000000000000000000-22-22000000
χ454-4-440040000-44-40000000000000000000000002-2-22000000
χ464-4-440040000-44-4000000000000000000000000-222-2000000
χ478-88-800-40000-4440000000000000000000000000000000000
χ488-8-8800-400004-440000000000000000000000000000000000

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