Finite Group Databasebeta

← Group #75143

Character table — Group #75143

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666444412121212121212121212121244441212121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-111-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1111-1-11
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11-1-11
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-111-1
χ9111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-11111-1-1
χ10111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-11111-1-1-1-111
χ11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-111-1-111
χ12111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-11111-1-111-1-1
χ13111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1111111-1-1-1-1-11-11
χ14111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-111111-11-1
χ15111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-11111-1-1-1-11-11-1
χ16111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-11111-11-11
χ1722222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111122-2-2-1-111-1-111000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111-2-22211-1-111-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-211111111-1-1-1-12-2-22-1-1-1-11111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-211111111-1-1-1-1-222-21111-1-1-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-1-1-1-1111111112-22-2-1-11111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-1-1-1-111111111-22-2211-1-1-1-111000000000000
χ2522-2-2-2-22222i2i−2i−2i-2-2222-2-2000000002i2i−2i−2i00000000000000002i−2i002-2000000
χ2622-2-2-2-22222i2i−2i−2i-2-2222-2-2000000002i2i−2i−2i0000000000000000−2i2i00-22000000
χ2722-2-2-2-2222−2i−2i2i2i-2-2222-2-200000000−2i−2i2i2i00000000000000002i−2i00-22000000
χ2822-2-2-2-2222−2i−2i2i2i-2-2222-2-200000000−2i−2i2i2i0000000000000000−2i2i002-2000000
χ292-22-22-22-222-22-22-22-2-22-22i−2i2i−2i2i2i−2i−2i2-22-22i2i−2i−2i000000000000000000000000
χ302-22-22-22-222-22-22-22-2-22-2−2i2i−2i2i−2i−2i2i2i2-22-2−2i−2i2i2i000000000000000000000000
χ312-22-22-22-22-22-222-22-2-22-22i−2i−2i2i−2i−2i2i2i-22-222i2i−2i−2i000000000000000000000000
χ322-22-22-22-22-22-222-22-2-22-2−2i2i2i−2i2i2i−2i−2i-22-22−2i−2i2i2i000000000000000000000000
χ332-22-22-22-2-12-22-2-11-111-112i−2i2i−2i−i−iii-11-11−i−iii00003−3−i3i33−3−i3i3000000000000
χ342-22-22-22-2-12-22-2-11-111-112i−2i2i−2i−i−iii-11-11−i−iii0000−33i3−i3−33i3−i3000000000000
χ352-22-22-22-2-12-22-2-11-111-11−2i2i−2i2iii−i−i-11-11ii−i−i00003−3i3−i33−3i3−i3000000000000
χ362-22-22-22-2-12-22-2-11-111-11−2i2i−2i2iii−i−i-11-11ii−i−i0000−33−i3i3−33−i3i3000000000000
χ372-22-22-22-2-1-22-22-11-111-112i−2i−2i2iii−i−i1-11-1−i−iii00003−3−i3i3−33i3−i3000000000000
χ382-22-22-22-2-1-22-22-11-111-112i−2i−2i2iii−i−i1-11-1−i−iii0000−33i3−i33−3−i3i3000000000000
χ392-22-22-22-2-1-22-22-11-111-11−2i2i2i−2i−i−iii1-11-1ii−i−i00003−3i3−i3−33−i3i3000000000000
χ402-22-22-22-2-1-22-22-11-111-11−2i2i2i−2i−i−iii1-11-1ii−i−i0000−33−i3i33−3i3−i3000000000000
χ412-2-22-222-222i−2i−2i2i-222-2-2-22000000002i−2i−2i2i0000000000000000002-2002i−2i0000
χ422-2-22-222-222i−2i−2i2i-222-2-2-22000000002i−2i−2i2i000000000000000000-2200−2i2i0000
χ432-2-22-222-22−2i2i2i−2i-222-2-2-2200000000−2i2i2i−2i0000000000000000002-200−2i2i0000
χ442-2-22-222-22−2i2i2i−2i-222-2-2-2200000000−2i2i2i−2i000000000000000000-22002i−2i0000
χ45444-4-44-4-4400004-4-44-4-440000000000000000000000000000000000000000
χ46444-4-44-4-4-20000-222-222-2000023−2323−2300000000000000000000000000000000
χ47444-4-44-4-4-20000-222-222-20000−2323−232300000000000000000000000000000000
χ4844-444-4-4-440000-44-44-44-40000000000000000000000000000000000000000
χ4944-444-4-4-4-200002-22-22-2200000000000023−2323−23000000000000000000000000
χ5044-444-4-4-4-200002-22-22-22000000000000−2323−2323000000000000000000000000
χ5144-4-4-4-444-24i4i−4i−4i22-2-2-22200000000−2i−2i2i2i0000000000000000000000000000
χ5244-4-4-4-444-2−4i−4i4i4i22-2-2-222000000002i2i−2i−2i0000000000000000000000000000
χ534-444-4-4-444000044-4-44-4-40000000000000000000000000000000000000000
χ544-444-4-4-44-20000-2-222-2220000−2i32i32i3−2i300000000000000000000000000000000
χ554-444-4-4-44-20000-2-222-22200002i3−2i3−2i32i300000000000000000000000000000000
χ564-4-44-444-4-24i−4i−4i4i2-2-2222-200000000−2i2i2i−2i0000000000000000000000000000
χ574-4-44-444-4-2−4i4i4i−4i2-2-2222-2000000002i−2i−2i2i0000000000000000000000000000
χ584-4-4-444-4440000-4-4-4-44440000000000000000000000000000000000000000
χ594-4-4-444-44-200002222-2-2-2000000000000−2i32i32i3−2i3000000000000000000000000
χ604-4-4-444-44-200002222-2-2-20000000000002i3−2i3−2i32i3000000000000000000000000

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