Finite Group Databasebeta

← Group #68721

Character table — Group #68721

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222222244444488888888888888888812121212242424242424
order12442223444612126661212128888882424242424242424242424242244888888
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
χ92222222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000
χ112222222-1222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000
χ122222222-1222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000
χ1322222-2-222-2-22222-2-22-2-200002-20000000022-2-20000000000
χ1422222-2-222-2-22222-2-22-2-20000-2200000000-2-2220000000000
χ1522222-2-2-12-2-2-1-1-1-111-11100002-233−3−333−3−3-1-1110000000000
χ1622222-2-2-12-2-2-1-1-1-111-11100002-2−3−333−3−333-1-1110000000000
χ1722222-2-2-12-2-2-1-1-1-111-1110000-2233−3−3−3−33311-1-10000000000
χ1822222-2-2-12-2-2-1-1-1-111-1110000-22−3−33333−3−311-1-10000000000
χ192222-22-22-22-2222-22-2-22-2002-20000002-22-200000000000000
χ202222-22-22-22-2222-22-2-22-200-22000000-22-2200000000000000
χ212222-22-2-1-22-2-1-1-11-111-11002-2003−33−3-11-113−33−30000000000
χ222222-22-2-1-22-2-1-1-11-111-11002-200−33−33-11-11−33−330000000000
χ232222-22-2-1-22-2-1-1-11-111-1100-22003−33−31-11-1−33−330000000000
χ242222-22-2-1-22-2-1-1-11-111-1100-2200−33−331-11-13−33−30000000000
χ252222-2-222-2-22222-2-22-2-222-200002-2-22000000000000000000
χ262222-2-222-2-22222-2-22-2-22-220000-222-2000000000000000000
χ272222-2-22-1-2-22-1-1-111-111-12-20000-111-13−3−33−333−30000000000
χ282222-2-22-1-2-22-1-1-111-111-12-20000-111-1−333−33−3−330000000000
χ292222-2-22-1-2-22-1-1-111-111-1-2200001-1-113−3−333−3−330000000000
χ302222-2-22-1-2-22-1-1-111-111-1-2200001-1-11−333−3−333−30000000000
χ3122-2-22222-2-2-22-2-2222-2-2-200000000000000000022-2-2000000
χ3222-2-22222-2-2-22-2-2222-2-2-2000000000000000000-2-222000000
χ3322-2-22-2-22-2222-2-22-2-2-222000000000000000000000000002i−2i
χ3422-2-22-2-22-2222-2-22-2-2-22200000000000000000000000000−2i2i
χ3522-2-2-22-222-222-2-2-22-22-220000000000000000000000002i−2i00
χ3622-2-2-22-222-222-2-2-22-22-22000000000000000000000000−2i2i00
χ3722-2-2-2-22222-22-2-2-2-2222-200000000000000000000002i−2i0000
χ3822-2-2-2-22222-22-2-2-2-2222-20000000000000000000000−2i2i0000
χ3944-4-4444-2-4-4-4-222-2-2-22220000000000000000000000000000
χ4044-4-44-4-4-2-444-222-2222-2-20000000000000000000000000000
χ4144-4-4-44-4-24-44-2222-22-22-20000000000000000000000000000
χ4244-4-4-4-44-244-4-22222-2-2-220000000000000000000000000000
χ434-44i−4i0004000-44i−4i0000000000000000000000002-22i−2i000000
χ444-44i−4i0004000-44i−4i000000000000000000000000-22−2i2i000000
χ454-4−4i4i0004000-4−4i4i0000000000000000000000002-2−2i2i000000
χ464-4−4i4i0004000-4−4i4i000000000000000000000000-222i−2i000000
χ478-88i−8i000-40004−4i4i0000000000000000000000000000000000
χ488-8−8i8i000-400044i−4i0000000000000000000000000000000000

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