Finite Group Databasebeta

← Group #72095

Character table — Group #72095

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222222244444488888888888888888812121212242424242424
order1222223444466666121212122224666666881212242424248888228888
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
χ511111111111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1
χ611111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ92222222-2-2-2-222222-2-2-2-20000000000000000000000002i−2i00
χ102222222-2-2-2-222222-2-2-2-2000000000000000000000000−2i2i00
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
χ152222-2-2222-2-2222-2-22-2-22002-200002200-2-200000000000000
χ162222-2-2222-2-2222-2-22-2-2200-220000-2-2002200000000000000
χ172222-2-22-2-222222-2-2-222-200000000000000000022-2-2000000
χ182222-2-22-2-222222-2-2-222-2000000000000000000-2-222000000
χ192222-2-2-122-2-2-1-1-111-111-1002-2−i3−i3i3i3-1-10011−i3−i3i3i30000000000
χ202222-2-2-122-2-2-1-1-111-111-1002-2i3i3−i3−i3-1-10011i3i3−i3−i30000000000
χ212222-2-2-122-2-2-1-1-111-111-100-22−i3−i3i3i31100-1-1i3i3−i3−i30000000000
χ222222-2-2-122-2-2-1-1-111-111-100-22i3i3−i3−i31100-1-1−i3−i3i3i30000000000
χ232-2-222-222-22-2-2-222-2-22-2200000000002-2002-22-20000000000
χ242-2-222-222-22-2-2-222-2-22-220000000000-2200-22-220000000000
χ252-2-222-22-22-22-2-222-22-22-200000000000000000000002-20000
χ262-2-222-22-22-22-2-222-22-22-20000000000000000000000-220000
χ272-2-222-2-12-22-211-1-111-11-10000−i3i3−i3i3−i3i32-2−i3i3-11-110000000000
χ282-2-222-2-12-22-211-1-111-11-10000−i3i3−i3i3i3−i3-22i3−i31-11-10000000000
χ292-2-222-2-12-22-211-1-111-11-10000i3−i3i3−i3−i3i3-22−i3i31-11-10000000000
χ302-2-222-2-12-22-211-1-111-11-10000i3−i3i3−i3i3−i32-2i3−i3-11-110000000000
χ312-2-22-2222-2-22-2-22-22-2-2222-2002-2-2200000000000000000000
χ322-2-22-2222-2-22-2-22-22-2-222-2200-222-200000000000000000000
χ332-2-22-222-222-2-2-22-2222-2-2000000000000000000000000002-2
χ342-2-22-222-222-2-2-22-2222-2-200000000000000000000000000-22
χ352-2-22-22-12-2-2211-11-111-1-12-200-111-1−i3i300i3−i3−i3i3i3−i30000000000
χ362-2-22-22-12-2-2211-11-111-1-12-200-111-1i3−i300−i3i3i3−i3−i3i30000000000
χ372-2-22-22-12-2-2211-11-111-1-1-22001-1-11−i3i300i3−i3i3−i3−i3i30000000000
χ382-2-22-22-12-2-2211-11-111-1-1-22001-1-11i3−i300−i3i3−i3i3i3−i30000000000
χ39444444-2-4-4-4-4-2-2-2-2-222220000000000000000000000000000
χ404444-4-4-2-4-444-2-2-2222-2-220000000000000000000000000000
χ4144-4-400400004-4-40000000000000000000000000022−22000000
χ4244-4-400400004-4-400000000000000000000000000−2222000000
χ434-44-40040000-44-400000000000000000000000022−2200000000
χ444-44-40040000-44-4000000000000000000000000−222200000000
χ454-4-444-4-2-44-4422-2-22-22-220000000000000000000000000000
χ464-4-44-44-2-444-422-22-2-2-2220000000000000000000000000000
χ4788-8-800-40000-4440000000000000000000000000000000000
χ488-88-800-400004-440000000000000000000000000000000000

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