Finite Group Databasebeta

← Group #83079

Character table — Group #83079

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666662244444412121212121212121212121244444466121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-1-1-1-1-111-11
χ10111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-11-1
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-111111-1
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-111111111-1-1-1-1-11
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-11111-1-111-1-1-1-11-1
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-11111-11
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-11
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-11111-1-1-1-1111-1
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
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-111110000-22-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-100002-2-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1111100002-211-1-111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-10000-2211-1-1-1-111000000000000
χ2522-2-2-2-22222i2i−2i−2i22-2-22-2-2000000002i2i−2i−2i0000000022-2-20000000000002i−2i00000000
χ2622-2-2-2-22222i2i−2i−2i22-2-22-2-2000000002i2i−2i−2i00000000-2-222000000000000−2i2i00000000
χ2722-2-2-2-2222−2i−2i2i2i22-2-22-2-200000000−2i−2i2i2i0000000022-2-2000000000000−2i2i00000000
χ2822-2-2-2-2222−2i−2i2i2i22-2-22-2-200000000−2i−2i2i2i00000000-2-2220000000000002i−2i00000000
χ292-222-2-2-2222i−2i2i−2i-2-2222-2-2000000002i−2i2i−2i000000000000000000000000002i−2i002-200
χ302-222-2-2-2222i−2i2i−2i-2-2222-2-2000000002i−2i2i−2i00000000000000000000000000−2i2i00-2200
χ312-222-2-2-222−2i2i−2i2i-2-2222-2-200000000−2i2i−2i2i000000000000000000000000002i−2i00-2200
χ322-222-2-2-222−2i2i−2i2i-2-2222-2-200000000−2i2i−2i2i00000000000000000000000000−2i2i002-200
χ332-22-22-22-2200002-22-2-22-200002i−2i0000002i2i−2i−2i00002i−2i2i−2i00000000002-20000000000
χ342-22-22-22-2200002-22-2-22-200002i−2i0000002i2i−2i−2i0000−2i2i−2i2i0000000000-220000000000
χ352-22-22-22-2200002-22-2-22-20000−2i2i000000−2i−2i2i2i00002i−2i2i−2i0000000000-220000000000
χ362-22-22-22-2200002-22-2-22-20000−2i2i000000−2i−2i2i2i0000−2i2i−2i2i00000000002-20000000000
χ372-2-22-222-2200002-2-22-2-220000002i−2i000000002i2i−2i−2i2i−2i−2i2i00000000000000002-20000
χ382-2-22-222-2200002-2-22-2-220000002i−2i000000002i2i−2i−2i−2i2i2i−2i0000000000000000-220000
χ392-2-22-222-2200002-2-22-2-22000000−2i2i00000000−2i−2i2i2i2i−2i−2i2i0000000000000000-220000
χ402-2-22-222-2200002-2-22-2-22000000−2i2i00000000−2i−2i2i2i−2i2i2i−2i00000000000000002-20000
χ412-2-2-222-2222-2-22-2-2-2-22222-22-200002-2-22000000000000002-22-20000000000000000
χ422-2-2-222-2222-2-22-2-2-2-2222-22-2200002-2-2200000000000000-22-220000000000000000
χ432-2-2-222-222-222-2-2-2-2-22222-2-220000-222-2000000000000002-2-220000000000000000
χ442-2-2-222-222-222-2-2-2-2-2222-222-20000-222-200000000000000-222-20000000000000000
χ452-2-2-222-22-12-2-221111-1-1-12-22-20000-111-1−i3i3−i3i3−i3i3−i3i3000000-11-11−i3i3−i3i3000000000000
χ462-2-2-222-22-12-2-221111-1-1-12-22-20000-111-1i3−i3i3−i3i3−i3i3−i3000000-11-11i3−i3i3−i3000000000000
χ472-2-2-222-22-12-2-221111-1-1-1-22-220000-111-1−i3i3−i3i3−i3i3−i3i30000001-11-1i3−i3i3−i3000000000000
χ482-2-2-222-22-12-2-221111-1-1-1-22-220000-111-1i3−i3i3−i3i3−i3i3−i30000001-11-1−i3i3−i3i3000000000000
χ492-2-2-222-22-1-222-21111-1-1-12-2-2200001-1-11−i3i3−i3i3i3−i3i3−i3000000-111-1−i3i3i3−i3000000000000
χ502-2-2-222-22-1-222-21111-1-1-12-2-2200001-1-11i3−i3i3−i3−i3i3−i3i3000000-111-1i3−i3−i3i3000000000000
χ512-2-2-222-22-1-222-21111-1-1-1-222-200001-1-11−i3i3−i3i3i3−i3i3−i30000001-1-11i3−i3−i3i3000000000000
χ522-2-2-222-22-1-222-21111-1-1-1-222-200001-1-11i3−i3i3−i3−i3i3−i3i30000001-1-11−i3i3i3−i3000000000000
χ53444-4-44-4-440000-444-4-4-440000000000000000000000000000000000000000000000
χ54444-4-44-4-4-200002-2-2222-2000000000000000023−23−232300000000000000000000000000
χ55444-4-44-4-4-200002-2-2222-20000000000000000−232323−2300000000000000000000000000
χ5644-444-4-4-440000-44-44-44-40000000000000000000000000000000000000000000000
χ5744-444-4-4-4-200002-22-22-2200000000000023−23−2323000000000000000000000000000000
χ5844-444-4-4-4-200002-22-22-22000000000000−232323−23000000000000000000000000000000
χ5944-4-4-4-444-24i4i−4i−4i-2-222-22200000000−2i−2i2i2i0000000000000000000000000000000000
χ6044-4-4-4-444-2−4i−4i4i4i-2-222-222000000002i2i−2i−2i0000000000000000000000000000000000
χ614-444-4-4-44-24i−4i4i−4i22-2-2-22200000000−2i2i−2i2i0000000000000000000000000000000000
χ624-444-4-4-44-2−4i4i−4i4i22-2-2-222000000002i−2i2i−2i0000000000000000000000000000000000
χ634-44-44-44-4-20000-22-222-2200004i−4i000000−2i−2i2i2i000000000000000000000000000000
χ644-44-44-44-4-20000-22-222-220000−4i4i0000002i2i−2i−2i000000000000000000000000000000
χ654-4-44-444-4-20000-222-222-20000004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ664-4-44-444-4-20000-222-222-2000000−4i4i000000002i2i−2i−2i00000000000000000000000000

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