Finite Group Databasebeta

← Group #83187

Character table — Group #83187

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666662222444412121212121212121212121244442266666666224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-111-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1111-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-111-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11111-1-11-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-111-1-1-11
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000-2-2-1-1-1-11111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000221111-1-1-1-1000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-10000-22-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-2211-1-111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100002-211-1-1-1-111000000000000
χ25222-22-2-2-22000022-2-22-2-20000002-20000000022-2-22i2i−2i−2i000000000000002i−2i000000
χ26222-22-2-2-22000022-2-22-2-20000002-20000000022-2-2−2i−2i2i2i00000000000000−2i2i000000
χ27222-22-2-2-22000022-2-22-2-2000000-2200000000-2-2222i2i−2i−2i00000000000000−2i2i000000
χ28222-22-2-2-22000022-2-22-2-2000000-2200000000-2-222−2i−2i2i2i000000000000002i−2i000000
χ2922-22-22-2-2200002-22-2-22-200002-200000022-2-200002i−2i2i−2i0000000000002i−2i00000000
χ3022-22-22-2-2200002-22-2-22-200002-200000022-2-20000−2i2i−2i2i000000000000−2i2i00000000
χ3122-22-22-2-2200002-22-2-22-20000-22000000-2-22200002i−2i2i−2i000000000000−2i2i00000000
χ3222-22-22-2-2200002-22-2-22-20000-22000000-2-2220000−2i2i−2i2i0000000000002i−2i00000000
χ3322-2-2-2-222222-2-22-2-22-2-220000000022-2-2000000002-2-2200000000002-20000000000
χ3422-2-2-2-222222-2-22-2-22-2-220000000022-2-200000000-222-20000000000-220000000000
χ3522-2-2-2-2222-2-2222-2-22-2-2200000000-2-222000000002-2-220000000000-220000000000
χ3622-2-2-2-2222-2-2222-2-22-2-2200000000-2-22200000000-222-200000000002-20000000000
χ372-222-2-2-2222-22-2-2-2-2-22222-22-200002-22-2000000000000002-22-20000000000000000
χ382-222-2-2-2222-22-2-2-2-2-2222-22-2200002-22-200000000000000-22-220000000000000000
χ392-222-2-2-222-22-22-2-2-2-22222-2-220000-22-22000000000000002-2-220000000000000000
χ402-222-2-2-222-22-22-2-2-2-2222-222-20000-22-2200000000000000-222-20000000000000000
χ412-222-2-2-22-12-22-21111-1-1-12-22-20000-11-11−i3i3−i3i3−i3i3−i3i3000000-11-11−i3i3−i3i3000000000000
χ422-222-2-2-22-12-22-21111-1-1-12-22-20000-11-11i3−i3i3−i3i3−i3i3−i3000000-11-11i3−i3i3−i3000000000000
χ432-222-2-2-22-12-22-21111-1-1-1-22-220000-11-11−i3i3−i3i3−i3i3−i3i30000001-11-1i3−i3i3−i3000000000000
χ442-222-2-2-22-12-22-21111-1-1-1-22-220000-11-11i3−i3i3−i3i3−i3i3−i30000001-11-1−i3i3−i3i3000000000000
χ452-222-2-2-22-1-22-221111-1-1-12-2-2200001-11-1−i3i3−i3i3i3−i3i3−i3000000-111-1−i3i3i3−i3000000000000
χ462-222-2-2-22-1-22-221111-1-1-12-2-2200001-11-1i3−i3i3−i3−i3i3−i3i3000000-111-1i3−i3−i3i3000000000000
χ472-222-2-2-22-1-22-221111-1-1-1-222-200001-11-1−i3i3−i3i3i3−i3i3−i30000001-1-11i3−i3−i3i3000000000000
χ482-222-2-2-22-1-22-221111-1-1-1-222-200001-11-1i3−i3i3−i3−i3i3−i3i30000001-1-11−i3i3i3−i3000000000000
χ492-2-2-222-2222-2-22-222-2-2-22000000002-2-2200000000000000000000000000002-22-200
χ502-2-2-222-2222-2-22-222-2-2-22000000002-2-220000000000000000000000000000-22-2200
χ512-2-2-222-222-222-2-222-2-2-2200000000-222-200000000000000000000000000002-2-2200
χ522-2-2-222-222-222-2-222-2-2-2200000000-222-20000000000000000000000000000-222-200
χ53444-44-4-4-4-20000-2-222-2220000004-400000000-2-22200000000000000000000000000
χ54444-44-4-4-4-20000-2-222-222000000-440000000022-2-200000000000000000000000000
χ5544-44-44-4-4-20000-22-222-2200004-4000000-2-222000000000000000000000000000000
χ5644-44-44-4-4-20000-22-222-220000-4400000022-2-2000000000000000000000000000000
χ5744-4-4-4-444-244-4-4-222-222-200000000-2-2220000000000000000000000000000000000
χ5844-4-4-4-444-2-4-444-222-222-20000000022-2-20000000000000000000000000000000000
χ594-44-4-444-440000-4-4444-4-40000000000000000000000000000000000000000000000
χ604-44-4-444-4-2000022-2-2-2220000000000000000−2i32i32i3−2i300000000000000000000000000
χ614-44-4-444-4-2000022-2-2-22200000000000000002i3−2i3−2i32i300000000000000000000000000
χ624-4-444-44-440000-44-44-44-40000000000000000000000000000000000000000000000
χ634-4-444-44-4-200002-22-22-22000000000000−2i32i32i3−2i3000000000000000000000000000000
χ644-4-444-44-4-200002-22-22-220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ654-4-4-444-44-24-4-442-2-2222-200000000-222-20000000000000000000000000000000000
χ664-4-4-444-44-2-444-42-2-2222-2000000002-2-220000000000000000000000000000000000

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