Finite Group Databasebeta

← Group #74607

Character table — Group #74607

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order1222222222223666666644444444666612121212121212122222441212121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1
χ911111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-11111-1-1-1-11-1
χ1011111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-11111-11
χ1111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-111-1-111-1-1-11
χ1211111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-111-1-1111-1
χ1311111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-1-111-1-111-11
χ1411111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111-1-11-1
χ1511111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-1-111111-1
χ1611111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-111111111-1-1-1-1-11
χ17222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ18222222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000-2-2-1-11111-1-1000000000000
χ19222222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ20222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111100002211-1-1-1-111000000000000
χ2122222222-2-2-2-2-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100002-2-1-1-1-11111000000000000
χ2222222222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-10000-22-1-111-1-111000000000000
χ2322222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-221111-1-1-1-1000000000000
χ2422222222-2-2-2-2-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100002-211-1-111-1-1000000000000
χ252222-2-2-2-222-2-22222-2-2-2-20000000022-2-20000000022-2-200000000002-20000000000
χ262222-2-2-2-222-2-22222-2-2-2-20000000022-2-200000000-2-2220000000000-220000000000
χ272222-2-2-2-2-2-2222222-2-2-2-200000000-2-2220000000022-2-20000000000-220000000000
χ282222-2-2-2-2-2-2222222-2-2-2-200000000-2-22200000000-2-22200000000002-20000000000
χ2922-2-222-2-2000022-2-222-2-20000002i−2i000000002i2i−2i−2i2-22-200000000000000002i−2i0000
χ3022-2-222-2-2000022-2-222-2-20000002i−2i000000002i2i−2i−2i-22-220000000000000000−2i2i0000
χ3122-2-222-2-2000022-2-222-2-2000000−2i2i00000000−2i−2i2i2i2-22-20000000000000000−2i2i0000
χ3222-2-222-2-2000022-2-222-2-2000000−2i2i00000000−2i−2i2i2i-22-2200000000000000002i−2i0000
χ3322-2-2-2-222000022-2-2-2-22200002-200000022-2-200002-2-22000000000000002-2000000
χ3422-2-2-2-222000022-2-2-2-22200002-200000022-2-20000-222-200000000000000-22000000
χ3522-2-2-2-222000022-2-2-2-2220000-22000000-2-22200002-2-2200000000000000-22000000
χ3622-2-2-2-222000022-2-2-2-2220000-22000000-2-2220000-222-2000000000000002-2000000
χ372-22-22-22-22-22-22-22-22-22-22i−2i2i−2i00002-22-2000000000000002i−2i00002i−2i000000000000
χ382-22-22-22-22-22-22-22-22-22-2−2i2i−2i2i00002-22-200000000000000−2i2i0000−2i2i000000000000
χ392-22-22-22-22-22-2-11-11-11-112i−2i2i−2i0000-11-113−33−33−33−3000000−ii−i3i3−i3i3−ii000000000000
χ402-22-22-22-22-22-2-11-11-11-112i−2i2i−2i0000-11-11−33−33−33−33000000−iii3−i3i3−i3−ii000000000000
χ412-22-22-22-22-22-2-11-11-11-11−2i2i−2i2i0000-11-113−33−33−33−3000000i−ii3−i3i3−i3i−i000000000000
χ422-22-22-22-22-22-2-11-11-11-11−2i2i−2i2i0000-11-11−33−33−33−33000000i−i−i3i3−i3i3i−i000000000000
χ432-22-22-22-2-22-222-22-22-22-22i−2i−2i2i0000-22-22000000000000002i−2i0000−2i2i000000000000
χ442-22-22-22-2-22-222-22-22-22-2−2i2i2i−2i0000-22-2200000000000000−2i2i00002i−2i000000000000
χ452-22-22-22-2-22-22-11-11-11-112i−2i−2i2i00001-11-13−33−3−33−33000000−ii−i3i3i3−i3i−i000000000000
χ462-22-22-22-2-22-22-11-11-11-112i−2i−2i2i00001-11-1−33−333−33−3000000−iii3−i3−i3i3i−i000000000000
χ472-22-22-22-2-22-22-11-11-11-11−2i2i2i−2i00001-11-13−33−3−33−33000000i−ii3−i3−i3i3−ii000000000000
χ482-22-22-22-2-22-22-11-11-11-11−2i2i2i−2i00001-11-1−33−333−33−3000000i−i−i3i3i3−i3−ii000000000000
χ492-22-2-22-222-2-222-22-2-22-22000000002-2-220000000000000000000000002-200002-200
χ502-22-2-22-222-2-222-22-2-22-22000000002-2-22000000000000000000000000-220000-2200
χ512-22-2-22-22-222-22-22-2-22-2200000000-222-20000000000000000000000002-20000-2200
χ522-22-2-22-22-222-22-22-2-22-2200000000-222-2000000000000000000000000-2200002-200
χ534444-4-4-4-444-4-4-2-2-2-2222200000000-2-2220000000000000000000000000000000000
χ544444-4-4-4-4-4-444-2-2-2-222220000000022-2-20000000000000000000000000000000000
χ5544-4-444-4-40000-2-222-2-2220000004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ5644-4-444-4-40000-2-222-2-222000000−4i4i000000002i2i−2i−2i00000000000000000000000000
χ5744-4-4-4-4440000-2-22222-2-200004-4000000-2-222000000000000000000000000000000
χ5844-4-4-4-4440000-2-22222-2-20000-4400000022-2-2000000000000000000000000000000
χ594-44-4-44-444-4-44-22-222-22-200000000-222-20000000000000000000000000000000000
χ604-44-4-44-44-444-4-22-222-22-2000000002-2-220000000000000000000000000000000000
χ614-4-444-4-4400004-4-444-4-440000000000000000000000000000000000000000000000
χ624-4-444-4-440000-222-2-222-20000000000000000−2i32i32i3−2i300000000000000000000000000
χ634-4-444-4-440000-222-2-222-200000000000000002i3−2i3−2i32i300000000000000000000000000
χ644-4-44-444-400004-4-44-444-40000000000000000000000000000000000000000000000
χ654-4-44-444-40000-222-22-2-2200000000000023−23−2323000000000000000000000000000000
χ664-4-44-444-40000-222-22-2-22000000000000−232323−23000000000000000000000000000000

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