Finite Group Databasebeta

← Group #70414

Character table — Group #70414

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112222222222244444444448888888888888888121212121212121224242424
order122223444461212224466612121244668812121212121224242424222222444488
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ9111-1-1111-1-11-1-111-1-11-1-111-1i−i11i−i-1-1ii−i−iii−i−i11-1-11-11-1i−ii−i
χ10111-1-1111-1-11-1-111-1-11-1-111-1i−i11i−i-1-1ii−i−iii−i−i-1-111-11-11−ii−ii
χ11111-1-1111-1-11-1-111-1-11-1-111-1−ii11−ii-1-1−i−iii−i−iii11-1-11-11-1−ii−ii
χ12111-1-1111-1-11-1-111-1-11-1-111-1−ii11−ii-1-1−i−iii−i−iii-1-111-11-11i−ii−i
χ13111-1-1111-1-11-1-1-1-1111-1-111-1i−i-1-1−ii11ii−i−i−i−iii11-1-1-11-11−iii−i
χ14111-1-1111-1-11-1-1-1-1111-1-111-1i−i-1-1−ii11ii−i−i−i−iii-1-1111-11-1i−i−ii
χ15111-1-1111-1-11-1-1-1-1111-1-111-1−ii-1-1i−i11−i−iiiii−i−i11-1-1-11-11i−i−ii
χ16111-1-1111-1-11-1-1-1-1111-1-111-1−ii-1-1i−i11−i−iiiii−i−i-1-1111-11-1−iii−i
χ17222222-2-2-2-22-2-20000222-2-2-2000000000000000000002-2-220000
χ18222222-2-2-2-22-2-20000222-2-2-200000000000000000000-222-20000
χ1922222-12222-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000
χ2022222-12222-1-1-12222-1-1-1-1-1-1-2-2-1-1-2-2-1-111111111000000000000
χ2122222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-11111000000000000
χ2222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-21122111111-1-1-1-1000000000000
χ23222-2-22-2-22222200002-2-2-2-220000000000000000000022-2-20000
χ24222-2-22-2-22222200002-2-2-2-2200000000000000000000-2-2220000
χ25222-2-2-122-2-2-11122-2-2-111-1-112i−2i-1-12i−2i11−i−iii−i−iii000000000000
χ26222-2-2-122-2-2-11122-2-2-111-1-11−2i2i-1-1−2i2i11ii−i−iii−i−i000000000000
χ27222-2-2-122-2-2-111-2-222-111-1-112i−2i11−2i2i-1-1−i−iiiii−i−i000000000000
χ28222-2-2-122-2-2-111-2-222-111-1-11−2i2i112i−2i-1-1ii−i−i−i−iii000000000000
χ2922-22-222-22-22222-22-2-2-222-2-2002-2002-200000000000000000000
χ3022-22-222-22-2222-22-22-2-222-2-200-2200-2200000000000000000000
χ3122-22-22-22-222-2-20000-2-22-22200000000000000002-22-200000000
χ3222-22-22-22-222-2-20000-2-22-2220000000000000000-22-2200000000
χ3322-22-2-12-22-2-1-1-12-22-211-1-11100-1100-11−i3i3−i3i3−i3i3−i3i3000000000000
χ3422-22-2-12-22-2-1-1-12-22-211-1-11100-1100-11i3−i3i3−i3i3−i3i3−i3000000000000
χ3522-22-2-12-22-2-1-1-1-22-2211-1-111001-1001-1−i3i3−i3i3i3−i3i3−i3000000000000
χ3622-22-2-12-22-2-1-1-1-22-2211-1-111001-1001-1i3−i3i3−i3−i3i3−i3i3000000000000
χ3722-2-2222-2-222-2-22-2-22-22-22-22002-200-2200000000000000000000
χ3822-2-2222-2-222-2-2-222-2-22-22-2200-22002-200000000000000000000
χ3922-2-222-222-22220000-22-2-22-200000000000000002-2-2200000000
χ4022-2-222-222-22220000-22-2-22-20000000000000000-222-200000000
χ4122-2-22-12-2-22-1112-2-221-11-11-100-11001-13−3−333−3−33000000000000
χ4222-2-22-12-2-22-1112-2-221-11-11-100-11001-1−333−3−333−3000000000000
χ4322-2-22-12-2-22-111-222-21-11-11-1001-100-113−3−33−333−3000000000000
χ4422-2-22-12-2-22-111-222-21-11-11-1001-100-11−333−33−3−33000000000000
χ4544444-2-4-4-4-4-2220000-2-2-22220000000000000000000000000000
χ46444-4-4-2-4-444-2-2-20000-22222-20000000000000000000000000000
χ4744-44-4-2-44-44-222000022-22-2-20000000000000000000000000000
χ4844-4-44-2-444-4-2-2-200002-222-220000000000000000000000000000
χ498-800080000-80000000000000000000000000000000000000000
χ508-8000-40000443−4300000000000000000000000000000000000000
χ518-8000-400004−434300000000000000000000000000000000000000

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