Finite Group Databasebeta

← Group #76324

Character table — Group #76324

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order1222222234444666666622224444121212121212121212121212444444666612121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
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
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1
χ9111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-1-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-111-1-111-1-1-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-111-1-1111-1
χ13111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-111-11
χ14111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1-11-1
χ15111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-111-1-1-1-1111-1
χ16111111111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-11
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
χ252222-2-2-2-2222-2-222-22-2-2-22-22-2000022-2-2000000000000002-22-20000000000000000
χ262222-2-2-2-2222-2-222-22-2-2-2-22-22000022-2-200000000000000-22-220000000000000000
χ272222-2-2-2-22-2-22222-22-2-2-22-2-220000-2-222000000000000002-2-220000000000000000
χ282222-2-2-2-22-2-22222-22-2-2-2-222-20000-2-22200000000000000-222-20000000000000000
χ292222-2-2-2-2-122-2-2-1-11-11112-22-20000-1-11133−3−333−3−3000000-11-113−33−3000000000000
χ302222-2-2-2-2-122-2-2-1-11-11112-22-20000-1-111−3−333−3−333000000-11-11−33−33000000000000
χ312222-2-2-2-2-122-2-2-1-11-1111-22-220000-1-11133−3−333−3−30000001-11-1−33−33000000000000
χ322222-2-2-2-2-122-2-2-1-11-1111-22-220000-1-111−3−333−3−3330000001-11-13−33−3000000000000
χ332222-2-2-2-2-1-2-222-1-11-11112-2-22000011-1-133−3−3−3−333000000-111-13−3−33000000000000
χ342222-2-2-2-2-1-2-222-1-11-11112-2-22000011-1-1−3−33333−3−3000000-111-1−333−3000000000000
χ352222-2-2-2-2-1-2-222-1-11-1111-222-2000011-1-133−3−3−3−3330000001-1-11−333−3000000000000
χ362222-2-2-2-2-1-2-222-1-11-1111-222-2000011-1-1−3−33333−3−30000001-1-113−3−33000000000000
χ3722-2-22-22-2200002-22-22-2-20000002i−2i000000002i−2i2i−2i22-2-20000000000002i−2i00000000
χ3822-2-22-22-2200002-22-22-2-20000002i−2i000000002i−2i2i−2i-2-222000000000000−2i2i00000000
χ3922-2-22-22-2200002-22-22-2-2000000−2i2i00000000−2i2i−2i2i22-2-2000000000000−2i2i00000000
χ4022-2-22-22-2200002-22-22-2-2000000−2i2i00000000−2i2i−2i2i-2-2220000000000002i−2i00000000
χ412-22-22-2-2220000-222-2-22-200002i−2i0000002i−2i2i−2i00002i−2i2i−2i00000000002-20000000000
χ422-22-22-2-2220000-222-2-22-200002i−2i0000002i−2i2i−2i0000−2i2i−2i2i0000000000-220000000000
χ432-22-22-2-2220000-222-2-22-20000−2i2i000000−2i2i−2i2i00002i−2i2i−2i0000000000-220000000000
χ442-22-22-2-2220000-222-2-22-20000−2i2i000000−2i2i−2i2i0000−2i2i−2i2i00000000002-20000000000
χ452-2-2222-2-222-22-2-2-222-2-22000000002-22-2000000002i−2i−2i2i000000000000002i−2i000000
χ462-2-2222-2-222-22-2-2-222-2-22000000002-22-200000000−2i2i2i−2i00000000000000−2i2i000000
χ472-2-2222-2-22-22-22-2-222-2-2200000000-22-22000000002i−2i−2i2i00000000000000−2i2i000000
χ482-2-2222-2-22-22-22-2-222-2-2200000000-22-2200000000−2i2i2i−2i000000000000002i−2i000000
χ492-2-22-2-22222-2-22-2-2-2222-2000000002-2-2200000000000000000000000000002-22-200
χ502-2-22-2-22222-2-22-2-2-2222-2000000002-2-220000000000000000000000000000-22-2200
χ512-2-22-2-2222-222-2-2-2-2222-200000000-222-200000000000000000000000000002-2-2200
χ522-2-22-2-2222-222-2-2-2-2222-200000000-222-20000000000000000000000000000-222-200
χ5344-4-44-44-4-20000-22-22-2220000004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ5444-4-44-44-4-20000-22-22-222000000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ5544-4-4-44-44400004-4-4-4-4440000000000000000000000000000000000000000000000
χ5644-4-4-44-44-20000-22222-2-20000000000000000−2i32i32i3−2i300000000000000000000000000
χ5744-4-4-44-44-20000-22222-2-200000000000000002i3−2i3−2i32i300000000000000000000000000
χ584-44-44-4-44-200002-2-222-2200004i−4i000000−2i2i−2i2i000000000000000000000000000000
χ594-44-44-4-44-200002-2-222-220000−4i4i0000002i−2i2i−2i000000000000000000000000000000
χ604-44-4-444-440000-44-4-44-440000000000000000000000000000000000000000000000
χ614-44-4-444-4-200002-222-22-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ624-44-4-444-4-200002-222-22-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ634-4-4444-4-4-24-44-422-2-222-200000000-22-220000000000000000000000000000000000
χ644-4-4444-4-4-2-44-4422-2-222-2000000002-22-20000000000000000000000000000000000
χ654-4-44-4-444-24-4-44222-2-2-2200000000-222-20000000000000000000000000000000000
χ664-4-44-4-444-2-444-4222-2-2-22000000002-2-220000000000000000000000000000000000

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