Finite Group Databasebeta

← Group #75627

Character table — Group #75627

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222223444466666664444444412121212121212121212121244442466121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-1-1-1111-1
χ10111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-11111-1-1-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-1-111-1-111-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111-1-11-1
χ13111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-11111-1-1-1-1-1-1-11
χ14111111111-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111111-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-111-1-1-1-11-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-11111-11
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
χ1822222222-12222-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-10000-2-211-1-111-1-1000000000000
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
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1000022-1-111-1-111000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111111100002-2-1-11111-1-1000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111110000-221111-1-1-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1111111110000-2211-1-1-1-111000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1111100002-2-1-1-1-11111000000000000
χ2522-2-222-2-2222-2-2-2-222-2-22000000000000000022-2-22i2i−2i−2i00000000000000002i−2i0000
χ2622-2-222-2-2222-2-2-2-222-2-22000000000000000022-2-2−2i−2i2i2i0000000000000000−2i2i0000
χ2722-2-222-2-22-2-222-2-222-2-220000000000000000-2-2222i2i−2i−2i0000000000000000−2i2i0000
χ2822-2-222-2-22-2-222-2-222-2-220000000000000000-2-222−2i−2i2i2i00000000000000002i−2i0000
χ292-22-22-22-2200002-22-22-2-20000002i−2i00002i2i−2i−2i00002i−2i2i−2i000000000000002-2000000
χ302-22-22-22-2200002-22-22-2-20000002i−2i00002i2i−2i−2i0000−2i2i−2i2i00000000000000-22000000
χ312-22-22-22-2200002-22-22-2-2000000−2i2i0000−2i−2i2i2i00002i−2i2i−2i00000000000000-22000000
χ322-22-22-22-2200002-22-22-2-2000000−2i2i0000−2i−2i2i2i0000−2i2i−2i2i000000000000002-2000000
χ332-22-2-22-2222i−2i2i−2i2-2-22-22-22i−2i2-20000000000002i−2i2i−2i000000002-2002i−2i000000000000
χ342-22-2-22-2222i−2i2i−2i2-2-22-22-2−2i2i-220000000000002i−2i2i−2i00000000-2200−2i2i000000000000
χ352-22-2-22-222−2i2i−2i2i2-2-22-22-22i−2i-22000000000000−2i2i−2i2i00000000-22002i−2i000000000000
χ362-22-2-22-222−2i2i−2i2i2-2-22-22-2−2i2i2-2000000000000−2i2i−2i2i000000002-200−2i2i000000000000
χ372-22-2-22-22-12i−2i2i−2i-111-11-112i−2i2-2000033−3−3−i3i3−i3i3−ii−ii000000−i3i3-113−3−ii000000000000
χ382-22-2-22-22-12i−2i2i−2i-111-11-112i−2i2-20000−3−333i3−i3i3−i3−ii−ii000000i3−i3-11−33−ii000000000000
χ392-22-2-22-22-12i−2i2i−2i-111-11-11−2i2i-22000033−3−3−i3i3−i3i3−ii−ii000000i3−i31-1−33i−i000000000000
χ402-22-2-22-22-12i−2i2i−2i-111-11-11−2i2i-220000−3−333i3−i3i3−i3−ii−ii000000−i3i31-13−3i−i000000000000
χ412-22-2-22-22-1−2i2i−2i2i-111-11-112i−2i-22000033−3−3i3−i3i3−i3i−ii−i000000−i3i31-1−33−ii000000000000
χ422-22-2-22-22-1−2i2i−2i2i-111-11-112i−2i-220000−3−333−i3i3−i3i3i−ii−i000000i3−i31-13−3−ii000000000000
χ432-22-2-22-22-1−2i2i−2i2i-111-11-11−2i2i2-2000033−3−3i3−i3i3−i3i−ii−i000000i3−i3-113−3i−i000000000000
χ442-22-2-22-22-1−2i2i−2i2i-111-11-11−2i2i2-20000−3−333−i3i3−i3i3i−ii−i000000−i3i3-11−33i−i000000000000
χ452-2-222-2-2220000-222-2-22-200002i−2i002i−2i2i−2i000000002-2-220000000000002i−2i00000000
χ462-2-222-2-2220000-222-2-22-200002i−2i002i−2i2i−2i00000000-222-2000000000000−2i2i00000000
χ472-2-222-2-2220000-222-2-22-20000−2i2i00−2i2i−2i2i000000002-2-22000000000000−2i2i00000000
χ482-2-222-2-2220000-222-2-22-20000−2i2i00−2i2i−2i2i00000000-222-20000000000002i−2i00000000
χ492-2-22-222-222i−2i−2i2i-22-222-2-200000000000000002i−2i−2i2i000000000000002i−2i0000002-200
χ502-2-22-222-222i−2i−2i2i-22-222-2-200000000000000002i−2i−2i2i00000000000000−2i2i000000-2200
χ512-2-22-222-22−2i2i2i−2i-22-222-2-20000000000000000−2i2i2i−2i000000000000002i−2i000000-2200
χ522-2-22-222-22−2i2i2i−2i-22-222-2-20000000000000000−2i2i2i−2i00000000000000−2i2i0000002-200
χ534444-4-4-4-44000044-4-4-4-440000000000000000000000000000000000000000000000
χ544444-4-4-4-4-20000-2-22222-200000000000023−23−2323000000000000000000000000000000
χ554444-4-4-4-4-20000-2-22222-2000000000000−232323−23000000000000000000000000000000
χ5644-4-444-4-4-244-4-422-2-222-20000000000000000-2-22200000000000000000000000000
χ5744-4-444-4-4-2-4-44422-2-222-2000000000000000022-2-200000000000000000000000000
χ5844-4-4-4-44440000-4-4-4-44440000000000000000000000000000000000000000000000
χ5944-4-4-4-444-200002222-2-2-200000000−2i32i32i3−2i30000000000000000000000000000000000
χ6044-4-4-4-444-200002222-2-2-2000000002i3−2i3−2i32i30000000000000000000000000000000000
χ614-44-44-44-4-20000-22-22-2220000004i−4i0000−2i−2i2i2i000000000000000000000000000000
χ624-44-44-44-4-20000-22-22-222000000−4i4i00002i2i−2i−2i000000000000000000000000000000
χ634-4-444-4-44-200002-2-222-2200004i−4i00−2i2i−2i2i0000000000000000000000000000000000
χ644-4-444-4-44-200002-2-222-220000−4i4i002i−2i2i−2i0000000000000000000000000000000000
χ654-4-44-444-4-24i−4i−4i4i2-22-2-2220000000000000000−2i2i2i−2i00000000000000000000000000
χ664-4-44-444-4-2−4i4i4i−4i2-22-2-22200000000000000002i−2i−2i2i00000000000000000000000000

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