Finite Group Databasebeta

← Group #75371

Character table — Group #75371

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-11111-1-11-1
χ10111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-111-1-111-11
χ12111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-111-1-11-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-111-1-1-1-111-1-1-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-11111-1-1111-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-11
χ1722222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-111110000-2-21111-1-1-1-1000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-11111000022-1-1-1-11111000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111111100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1111111110000-2211-1-111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-10000-2211-1-1-1-111000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100002-2-1-11111-1-1000000000000
χ2522-22-2-22-2200002-22-2-22-2002i−2i0000000000002i2i−2i−2i2i2i−2i−2i00000000002-20000000000
χ2622-22-2-22-2200002-22-2-22-2002i−2i0000000000002i2i−2i−2i−2i−2i2i2i0000000000-220000000000
χ2722-22-2-22-2200002-22-2-22-200−2i2i000000000000−2i−2i2i2i2i2i−2i−2i0000000000-220000000000
χ2822-22-2-22-2200002-22-2-22-200−2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000002-20000000000
χ2922-2-22-2-2222i2i−2i−2i-222-2-2-2200002i−2i2-200002i2i−2i−2i000000000000002i−2i2-2000000000000
χ3022-2-22-2-2222i2i−2i−2i-222-2-2-220000−2i2i-2200002i2i−2i−2i00000000000000−2i2i-22000000000000
χ3122-2-22-2-222−2i−2i2i2i-222-2-2-2200002i−2i-220000−2i−2i2i2i000000000000002i−2i-22000000000000
χ3222-2-22-2-222−2i−2i2i2i-222-2-2-220000−2i2i2-20000−2i−2i2i2i00000000000000−2i2i2-2000000000000
χ3322-2-22-2-22-12i2i−2i−2i1-1-1111-100002i−2i2-233−3−3−i−iii−i3i3−i3i3000000−i3i33−3−ii-11000000000000
χ3422-2-22-2-22-12i2i−2i−2i1-1-1111-100002i−2i2-2−3−333−i−iiii3−i3i3−i3000000i3−i3−33−ii-11000000000000
χ3522-2-22-2-22-12i2i−2i−2i1-1-1111-10000−2i2i-2233−3−3−i−iii−i3i3−i3i3000000i3−i3−33i−i1-1000000000000
χ3622-2-22-2-22-12i2i−2i−2i1-1-1111-10000−2i2i-22−3−333−i−iiii3−i3i3−i3000000−i3i33−3i−i1-1000000000000
χ3722-2-22-2-22-1−2i−2i2i2i1-1-1111-100002i−2i-2233−3−3ii−i−ii3−i3i3−i3000000−i3i3−33−ii1-1000000000000
χ3822-2-22-2-22-1−2i−2i2i2i1-1-1111-100002i−2i-22−3−333ii−i−i−i3i3−i3i3000000i3−i33−3−ii1-1000000000000
χ3922-2-22-2-22-1−2i−2i2i2i1-1-1111-10000−2i2i2-233−3−3ii−i−ii3−i3i3−i3000000i3−i33−3i−i-11000000000000
χ4022-2-22-2-22-1−2i−2i2i2i1-1-1111-10000−2i2i2-2−3−333ii−i−i−i3i3−i3i3000000−i3i3−33i−i-11000000000000
χ412-222-2-2-2222i−2i2i−2i2-2-22-2-220000000000002i−2i2i−2i0000000000000000000000002-22i−2i00
χ422-222-2-2-2222i−2i2i−2i2-2-22-2-220000000000002i−2i2i−2i000000000000000000000000-22−2i2i00
χ432-222-2-2-222−2i2i−2i2i2-2-22-2-22000000000000−2i2i−2i2i0000000000000000000000002-2−2i2i00
χ442-222-2-2-222−2i2i−2i2i2-2-22-2-22000000000000−2i2i−2i2i000000000000000000000000-222i−2i00
χ452-22-22-22-220000-22-22-22-22i−2i0000002i−2i2i−2i000000002i−2i2i−2i000000000000002-2000000
χ462-22-22-22-220000-22-22-22-22i−2i0000002i−2i2i−2i00000000−2i2i−2i2i00000000000000-22000000
χ472-22-22-22-220000-22-22-22-2−2i2i000000−2i2i−2i2i000000002i−2i2i−2i00000000000000-22000000
χ482-22-22-22-220000-22-22-22-2−2i2i000000−2i2i−2i2i00000000−2i2i−2i2i000000000000002-2000000
χ492-2-2-2-222222-2-22-2-2-2-22220000000000002-2-2200002-2-220000000000002-200000000
χ502-2-2-2-222222-2-22-2-2-2-22220000000000002-2-220000-222-2000000000000-2200000000
χ512-2-2-2-22222-222-2-2-2-2-2222000000000000-222-200002-2-22000000000000-2200000000
χ522-2-2-2-22222-222-2-2-2-2-2222000000000000-222-20000-222-20000000000002-200000000
χ53444-4-44-4-440000-4-4444-4-40000000000000000000000000000000000000000000000
χ54444-4-44-4-4-2000022-2-2-222000000000000000023−23−232300000000000000000000000000
χ55444-4-44-4-4-2000022-2-2-2220000000000000000−232323−2300000000000000000000000000
χ5644-44-4-44-4-20000-22-222-22004i−4i000000000000−2i−2i2i2i00000000000000000000000000
χ5744-44-4-44-4-20000-22-222-2200−4i4i0000000000002i2i−2i−2i00000000000000000000000000
χ584-444-4-4-44-24i−4i4i−4i-222-222-2000000000000−2i2i−2i2i000000000000000000000000000000
χ594-444-4-4-44-2−4i4i−4i4i-222-222-20000000000002i−2i2i−2i000000000000000000000000000000
χ604-44-44-44-4-200002-22-22-224i−4i000000−2i2i−2i2i0000000000000000000000000000000000
χ614-44-44-44-4-200002-22-22-22−4i4i0000002i−2i2i−2i0000000000000000000000000000000000
χ624-4-4444-4-44000044-4-44-4-40000000000000000000000000000000000000000000000
χ634-4-4444-4-4-20000-2-222-22200000000−2i32i32i3−2i30000000000000000000000000000000000
χ644-4-4444-4-4-20000-2-222-222000000002i3−2i3−2i32i30000000000000000000000000000000000
χ654-4-4-4-4444-24-4-442222-2-2-2000000000000-222-2000000000000000000000000000000
χ664-4-4-4-4444-2-444-42222-2-2-20000000000002-2-22000000000000000000000000000000

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