Finite Group Databasebeta

← Group #70049

Character table — Group #70049

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112222222222244444444448888888888888888121212121212121224242424
order122223444461212444466612121224446612121212121212121212222244448888
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111-1-111-11-11-1-1ii−i−i1-1-111-11-1i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i
χ10111-1-111-11-11-1-1ii−i−i1-1-111-11-1i−i11-1-1ii−i−iii−i−i-1-111−i−iii-11−ii
χ11111-1-111-11-11-1-1ii−i−i1-1-111-1-11−ii-1-111ii−i−i−i−iii11-1-1ii−i−i-11−ii
χ12111-1-111-11-11-1-1ii−i−i1-1-111-1-11−ii-1-111ii−i−i−i−iii-1-111−i−iii1-1i−i
χ13111-1-111-11-11-1-1−i−iii1-1-111-11-1−ii11-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii
χ14111-1-111-11-11-1-1−i−iii1-1-111-11-1−ii11-1-1−i−iii−i−iii-1-111ii−i−i-11i−i
χ15111-1-111-11-11-1-1−i−iii1-1-111-1-11i−i-1-111−i−iiiii−i−i11-1-1−i−iii-11i−i
χ16111-1-111-11-11-1-1−i−iii1-1-111-1-11i−i-1-111−i−iiiii−i−i-1-111ii−i−i1-1−ii
χ17222222-2-2-2-22-2-22-22-2222-2-2-2000000002-22-20000000000000000
χ18222222-2-2-2-22-2-2-22-22222-2-2-200000000-22-220000000000000000
χ1922222-12222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2022222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000000000
χ2122222-12222-1-1-1-2-2-2-2-1-1-1-1-1-122-2-2-1-1-1-111111111000000000000
χ2222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000
χ2322222-1-2-2-2-2-1112-22-2-1-1-11110000−i3i3−i3i3-11-11−i3i3−i3i3000000000000
χ2422222-1-2-2-2-2-1112-22-2-1-1-11110000i3−i3i3−i3-11-11i3−i3i3−i3000000000000
χ2522222-1-2-2-2-2-111-22-22-1-1-11110000−i3i3−i3i31-11-1i3−i3i3−i3000000000000
χ2622222-1-2-2-2-2-111-22-22-1-1-11110000i3−i3i3−i31-11-1−i3i3−i3i3000000000000
χ27222-2-22-22-222222i−2i−2i2i2-2-2-2-22000000002i−2i−2i2i0000000000000000
χ28222-2-22-22-22222−2i2i2i−2i2-2-2-2-2200000000−2i2i2i−2i0000000000000000
χ29222-2-2-12-22-2-1112i2i−2i−2i-111-1-112-22i−2i-1-111−i−iii−i−iii000000000000
χ30222-2-2-12-22-2-1112i2i−2i−2i-111-1-11-22−2i2i11-1-1−i−iiiii−i−i000000000000
χ31222-2-2-12-22-2-111−2i−2i2i2i-111-1-112-2−2i2i-1-111ii−i−iii−i−i000000000000
χ32222-2-2-12-22-2-111−2i−2i2i2i-111-1-11-222i−2i11-1-1ii−i−i−i−iii000000000000
χ33222-2-2-1-22-22-1-1-12i−2i−2i2i-11111-10000−i3i3i3−i3−iii−i3−3−33000000000000
χ34222-2-2-1-22-22-1-1-12i−2i−2i2i-11111-10000i3−i3−i3i3−iii−i−333−3000000000000
χ35222-2-2-1-22-22-1-1-1−2i2i2i−2i-11111-10000−i3i3i3−i3i−i−ii−333−3000000000000
χ36222-2-2-1-22-22-1-1-1−2i2i2i−2i-11111-10000i3−i3−i3i3i−i−ii3−3−33000000000000
χ3722-22-2222-2-22220000-22-22-2-2000000000000000000002i−2i2i−2i0000
χ3822-22-2222-2-22220000-22-22-2-200000000000000000000−2i2i−2i2i0000
χ3922-22-22-2-2222-2-20000-22-2-22200000000000000002-22-200000000
χ4022-22-22-2-2222-2-20000-22-2-2220000000000000000-22-2200000000
χ4122-2-2222-2-222-2-20000-2-222-22000000000000000000002-2-220000
χ4222-2-2222-2-222-2-20000-2-222-2200000000000000000000-222-20000
χ4322-2-222-222-22220000-2-22-22-200000000000000002-2-2200000000
χ4422-2-222-222-22220000-2-22-22-20000000000000000-222-200000000
χ4544-44-4-244-4-4-2-2-200002-22-2220000000000000000000000000000
χ4644-44-4-2-4-444-22200002-222-2-20000000000000000000000000000
χ4744-4-44-24-4-44-222000022-2-22-20000000000000000000000000000
χ4844-4-44-2-444-4-2-2-2000022-22-220000000000000000000000000000
χ498-800080000-80000000000000000000000000000000000000000
χ508-8000-40000443−4300000000000000000000000000000000000000
χ518-8000-400004−434300000000000000000000000000000000000000

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