Finite Group Databasebeta

← Group #75856

Character table — Group #75856

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666662244444412121212121212121212121244444466121212121212222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-111-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-11111-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-1
χ13111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-11111-1-1-1-1-11
χ14111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111111-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-111-1-1-11
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-10000-2-2-1-1-1-11111000000000000
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
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-10000221111-1-1-1-1000000000000
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
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111110000-22-1-11111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1111111110000-2211-1-111-1-1000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1111100002-211-1-1-1-111000000000000
χ2522-2-2-222-222i2i−2i−2i2-222-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000002-20000000000
χ2622-2-2-222-222i2i−2i−2i2-222-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000-220000000000
χ2722-2-2-222-22−2i−2i2i2i2-222-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000-220000000000
χ2822-2-2-222-22−2i−2i2i2i2-222-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000002-20000000000
χ292-22-222-2-220000-222-22-2-200002i−2i002i2i−2i−2i000000002i−2i2i−2i0000000000002-200000000
χ302-22-222-2-220000-222-22-2-200002i−2i002i2i−2i−2i00000000−2i2i−2i2i000000000000-2200000000
χ312-22-222-2-220000-222-22-2-20000−2i2i00−2i−2i2i2i000000002i−2i2i−2i000000000000-2200000000
χ322-22-222-2-220000-222-22-2-20000−2i2i00−2i−2i2i2i00000000−2i2i−2i2i0000000000002-200000000
χ332-22-2-2-22222-22-2-2-2-222-2200000000000000002-22-20000000000000000002-22-20000
χ342-22-2-2-22222-22-2-2-2-222-2200000000000000002-22-2000000000000000000-22-220000
χ352-22-2-2-2222-22-22-2-2-222-220000000000000000-22-220000000000000000002-2-220000
χ362-22-2-2-2222-22-22-2-2-222-220000000000000000-22-22000000000000000000-222-20000
χ372-2-222-22-222i−2i−2i2i-22-22-22-22-22i−2i0000000000002i−2i−2i2i0000002-22i−2i0000000000000000
χ382-2-222-22-222i−2i−2i2i-22-22-22-2-22−2i2i0000000000002i−2i−2i2i000000-22−2i2i0000000000000000
χ392-2-222-22-22−2i2i2i−2i-22-22-22-22-2−2i2i000000000000−2i2i2i−2i0000002-2−2i2i0000000000000000
χ402-2-222-22-22−2i2i2i−2i-22-22-22-2-222i−2i000000000000−2i2i2i−2i000000-222i−2i0000000000000000
χ412-2-222-22-2-12i−2i−2i2i1-11-11-112-22i−2i0000−i3i3−i3i333−3−3−iii−i000000-11−ii−i3i33−3000000000000
χ422-2-222-22-2-12i−2i−2i2i1-11-11-112-22i−2i0000i3−i3i3−i3−3−333−iii−i000000-11−iii3−i3−33000000000000
χ432-2-222-22-2-12i−2i−2i2i1-11-11-11-22−2i2i0000−i3i3−i3i333−3−3−iii−i0000001-1i−ii3−i3−33000000000000
χ442-2-222-22-2-12i−2i−2i2i1-11-11-11-22−2i2i0000i3−i3i3−i3−3−333−iii−i0000001-1i−i−i3i33−3000000000000
χ452-2-222-22-2-1−2i2i2i−2i1-11-11-112-2−2i2i0000−i3i3−i3i3−3−333i−i−ii000000-11i−i−i3i3−33000000000000
χ462-2-222-22-2-1−2i2i2i−2i1-11-11-112-2−2i2i0000i3−i3i3−i333−3−3i−i−ii000000-11i−ii3−i33−3000000000000
χ472-2-222-22-2-1−2i2i2i−2i1-11-11-11-222i−2i0000−i3i3−i3i3−3−333i−i−ii0000001-1−iii3−i33−3000000000000
χ482-2-222-22-2-1−2i2i2i−2i1-11-11-11-222i−2i0000i3−i3i3−i333−3−3i−i−ii0000001-1−ii−i3i3−33000000000000
χ492-2-22-22-2220000-2-22-2-2220000002-200002-22-200002-2-220000000000000000002-200
χ502-2-22-22-2220000-2-22-2-2220000002-200002-22-20000-222-2000000000000000000-2200
χ512-2-22-22-2220000-2-22-2-222000000-220000-22-2200002-2-22000000000000000000-2200
χ522-2-22-22-2220000-2-22-2-222000000-220000-22-220000-222-20000000000000000002-200
χ534444-4-4-4-4400004-4-4-444-40000000000000000000000000000000000000000000000
χ544444-4-4-4-4-20000-2222-2-2200000000000023−23−2323000000000000000000000000000000
χ554444-4-4-4-4-20000-2222-2-22000000000000−232323−23000000000000000000000000000000
χ5644-4-44-4-444000044-4-4-4-440000000000000000000000000000000000000000000000
χ5744-4-44-4-44-20000-2-22222-20000000023−23−23230000000000000000000000000000000000
χ5844-4-44-4-44-20000-2-22222-200000000−232323−230000000000000000000000000000000000
χ5944-4-4-444-4-24i4i−4i−4i-22-2-22220000000000000000−2i−2i2i2i00000000000000000000000000
χ6044-4-4-444-4-2−4i−4i4i4i-22-2-222200000000000000002i2i−2i−2i00000000000000000000000000
χ614-44-444-4-4-200002-2-22-22200004i−4i00−2i−2i2i2i0000000000000000000000000000000000
χ624-44-444-4-4-200002-2-22-2220000−4i4i002i2i−2i−2i0000000000000000000000000000000000
χ634-44-4-4-444-24-44-4222-2-22-20000000000000000-22-2200000000000000000000000000
χ644-44-4-4-444-2-44-44222-2-22-200000000000000002-22-200000000000000000000000000
χ654-4-44-44-44-2000022-222-2-20000004-40000-22-22000000000000000000000000000000
χ664-4-44-44-44-2000022-222-2-2000000-4400002-22-2000000000000000000000000000000

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