Finite Group Databasebeta

← Group #82166

Character table — Group #82166

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order122222223666666644444412121212121212121212121244444444222222226666666644444412121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-22-2-2-22222-2-2-2-2000000000000000000002-20000222-22-2-2-22222-2-2-2-2000000000000000000002-20000
χ14222-22-2-2-22222-2-2-2-200000000000000000000-220000222-22-2-2-22222-2-2-2-200000000000000000000-220000
χ1522-22-22-2-222-2-222-2-20000000000000000002-200000022-22-22-2-222-2-222-2-20000000000000000002-2000000
χ1622-22-22-2-222-2-222-2-2000000000000000000-2200000022-22-22-2-222-2-222-2-2000000000000000000-22000000
χ1722-2-2-2-22222-2-2-2-2222-2000022-2-2000000000000000022-2-2-2-22222-2-2-2-2222-2000022-2-20000000000000000
χ1822-2-2-2-22222-2-2-2-222-220000-2-222000000000000000022-2-2-2-22222-2-2-2-222-220000-2-2220000000000000000
χ1922-2-2-2-222-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i30000000022-2-2-2-222-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i300000000
χ2022-2-2-2-222-1-11111-1-12-20000-1-111i3i3−i3−i3i3i3−i3−i30000000022-2-2-2-222-1-11111-1-12-20000-1-111i3i3−i3−i3i3i3−i3−i300000000
χ2122-2-2-2-222-1-11111-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i30000000022-2-2-2-222-1-11111-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i300000000
χ2222-2-2-2-222-1-11111-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i30000000022-2-2-2-222-1-11111-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i300000000
χ232-222-2-2-222-22-22-2-2200000000000000000000002i−2i002-222-2-2-222-22-22-2-2200000000000000000000002i−2i00
χ242-222-2-2-222-22-22-2-220000000000000000000000−2i2i002-222-2-2-222-22-22-2-220000000000000000000000−2i2i00
χ252-22-2-222-22-22-2-222-200002i−2i000000002i−2i2i−2i000000002-22-2-222-22-22-2-222-200002i−2i000000002i−2i2i−2i00000000
χ262-22-2-222-22-22-2-222-20000−2i2i00000000−2i2i−2i2i000000002-22-2-222-22-22-2-222-20000−2i2i00000000−2i2i−2i2i00000000
χ272-22-2-222-2-11-111-1-1100002i−2i−i3i3−i3i33−33−3−ii−ii000000002-22-2-222-2-11-111-1-1100002i−2i−i3i3−i3i33−33−3−ii−ii00000000
χ282-22-2-222-2-11-111-1-1100002i−2ii3−i3i3−i3−33−33−ii−ii000000002-22-2-222-2-11-111-1-1100002i−2ii3−i3i3−i3−33−33−ii−ii00000000
χ292-22-2-222-2-11-111-1-110000−2i2i−i3i3−i3i3−33−33i−ii−i000000002-22-2-222-2-11-111-1-110000−2i2i−i3i3−i3i3−33−33i−ii−i00000000
χ302-22-2-222-2-11-111-1-110000−2i2ii3−i3i3−i33−33−3i−ii−i000000002-22-2-222-2-11-111-1-110000−2i2ii3−i3i3−i33−33−3i−ii−i00000000
χ312-2-222-22-22-2-222-22-2002i−2i0000002i−2i−2i2i0000000000002-2-222-22-22-2-222-22-2002i−2i0000002i−2i−2i2i000000000000
χ322-2-222-22-22-2-222-22-200−2i2i000000−2i2i2i−2i0000000000002-2-222-22-22-2-222-22-200−2i2i000000−2i2i2i−2i000000000000
χ332-2-222-22-2-111-1-11-11002i−2i00−i3i3i3−i3−iii−i3−3−33000000002-2-222-22-2-111-1-11-11002i−2i00−i3i3i3−i3−iii−i3−3−3300000000
χ342-2-222-22-2-111-1-11-11002i−2i00i3−i3−i3i3−iii−i−333−3000000002-2-222-22-2-111-1-11-11002i−2i00i3−i3−i3i3−iii−i−333−300000000
χ352-2-222-22-2-111-1-11-1100−2i2i00−i3i3i3−i3i−i−ii−333−3000000002-2-222-22-2-111-1-11-1100−2i2i00−i3i3i3−i3i−i−ii−333−300000000
χ362-2-222-22-2-111-1-11-1100−2i2i00i3−i3−i3i3i−i−ii3−3−33000000002-2-222-22-2-111-1-11-1100−2i2i00i3−i3−i3i3i−i−ii3−3−3300000000
χ372-2-2-222-222-2-22-22-220000000000000000000000002-22-2-2-222-222-2-22-22-220000000000000000000000002-2
χ382-2-2-222-222-2-22-22-22000000000000000000000000-222-2-2-222-222-2-22-22-22000000000000000000000000-22
χ39444-44-4-4-4-2-2-2-2222200000000000000000000000000444-44-4-4-4-2-2-2-2222200000000000000000000000000
χ4044-44-44-4-4-2-222-2-2220000000000000000000000000044-44-44-4-4-2-222-2-22200000000000000000000000000
χ414-444-4-4-44-22-22-222-2000000000000000000000000004-444-4-4-44-22-22-222-200000000000000000000000000
χ424-4-4-444-44-222-22-22-2000000000000000000000000004-4-4-444-44-222-22-22-200000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-111
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
χ5122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-211111111111100000000
χ5222222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000-2-2-2-2-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-100000000
χ5322222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000-2-2-2-2-2-2-2-21111111122-2-222-1-1-1-11111-1-1-1-100000000
χ5422222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000-2-2-2-2-2-2-2-2111111112222-2-2-1-1-1-1-1-1-1-1111100000000
χ55222-22-2-2-22222-2-2-2-2000000000000000000002-20000-2-2-22-2222-2-2-2-2222200000000000000000000-220000
χ56222-22-2-2-22222-2-2-2-200000000000000000000-220000-2-2-22-2222-2-2-2-22222000000000000000000002-20000
χ5722-22-22-2-222-2-222-2-20000000000000000002-2000000-2-22-22-222-2-222-2-222000000000000000000-22000000
χ5822-22-22-2-222-2-222-2-2000000000000000000-22000000-2-22-22-222-2-222-2-2220000000000000000002-2000000
χ5922-2-2-2-22222-2-2-2-2222-2000022-2-20000000000000000-2-22222-2-2-2-22222-2-2-220000-2-2220000000000000000
χ6022-2-2-2-22222-2-2-2-222-220000-2-2220000000000000000-2-22222-2-2-2-22222-2-22-2000022-2-20000000000000000
χ6122-2-2-2-222-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i300000000-2-22222-2-211-1-1-1-111-22000011-1-1i3i3−i3−i3i3i3−i3−i300000000
χ6222-2-2-2-222-1-11111-1-12-20000-1-111i3i3−i3−i3i3i3−i3−i300000000-2-22222-2-211-1-1-1-111-22000011-1-1−i3−i3i3i3−i3−i3i3i300000000
χ6322-2-2-2-222-1-11111-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i300000000-2-22222-2-211-1-1-1-1112-20000-1-111i3i3−i3−i3−i3−i3i3i300000000
χ6422-2-2-2-222-1-11111-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i300000000-2-22222-2-211-1-1-1-1112-20000-1-111−i3−i3i3i3i3i3−i3−i300000000
χ652-222-2-2-222-22-22-2-2200000000000000000000002i−2i00-22-2-2222-2-22-22-222-20000000000000000000000−2i2i00
χ662-222-2-2-222-22-22-2-220000000000000000000000−2i2i00-22-2-2222-2-22-22-222-200000000000000000000002i−2i00
χ672-22-2-222-22-22-2-222-200002i−2i000000002i−2i2i−2i00000000-22-222-2-22-22-222-2-220000−2i2i00000000−2i2i−2i2i00000000
χ682-22-2-222-22-22-2-222-20000−2i2i00000000−2i2i−2i2i00000000-22-222-2-22-22-222-2-2200002i−2i000000002i−2i2i−2i00000000
χ692-22-2-222-2-11-111-1-1100002i−2i−i3i3−i3i33−33−3−ii−ii00000000-22-222-2-221-11-1-111-10000−2i2ii3−i3i3−i3−33−33i−ii−i00000000
χ702-22-2-222-2-11-111-1-1100002i−2ii3−i3i3−i3−33−33−ii−ii00000000-22-222-2-221-11-1-111-10000−2i2i−i3i3−i3i33−33−3i−ii−i00000000
χ712-22-2-222-2-11-111-1-110000−2i2i−i3i3−i3i3−33−33i−ii−i00000000-22-222-2-221-11-1-111-100002i−2ii3−i3i3−i33−33−3−ii−ii00000000
χ722-22-2-222-2-11-111-1-110000−2i2ii3−i3i3−i33−33−3i−ii−i00000000-22-222-2-221-11-1-111-100002i−2i−i3i3−i3i3−33−33−ii−ii00000000
χ732-2-222-22-22-2-222-22-2002i−2i0000002i−2i−2i2i000000000000-222-2-22-22-222-2-22-2200−2i2i000000−2i2i2i−2i000000000000
χ742-2-222-22-22-2-222-22-200−2i2i000000−2i2i2i−2i000000000000-222-2-22-22-222-2-22-22002i−2i0000002i−2i−2i2i000000000000
χ752-2-222-22-2-111-1-11-11002i−2i00−i3i3i3−i3−iii−i3−3−3300000000-222-2-22-221-1-111-11-100−2i2i00i3−i3−i3i3i−i−ii−333−300000000
χ762-2-222-22-2-111-1-11-11002i−2i00i3−i3−i3i3−iii−i−333−300000000-222-2-22-221-1-111-11-100−2i2i00−i3i3i3−i3i−i−ii3−3−3300000000
χ772-2-222-22-2-111-1-11-1100−2i2i00−i3i3i3−i3i−i−ii−333−300000000-222-2-22-221-1-111-11-1002i−2i00i3−i3−i3i3−iii−i3−3−3300000000
χ782-2-222-22-2-111-1-11-1100−2i2i00i3−i3−i3i3i−i−ii3−3−3300000000-222-2-22-221-1-111-11-1002i−2i00−i3i3i3−i3−iii−i−333−300000000
χ792-2-2-222-222-2-22-22-220000000000000000000000002-2-2222-2-22-2-222-22-22-2000000000000000000000000-22
χ802-2-2-222-222-2-22-22-22000000000000000000000000-22-2222-2-22-2-222-22-22-20000000000000000000000002-2
χ81444-44-4-4-4-2-2-2-2222200000000000000000000000000-4-4-44-44442222-2-2-2-200000000000000000000000000
χ8244-44-44-4-4-2-222-2-22200000000000000000000000000-4-44-44-44422-2-222-2-200000000000000000000000000
χ834-444-4-4-44-22-22-222-200000000000000000000000000-44-4-4444-42-22-22-2-2200000000000000000000000000
χ844-4-4-444-44-222-22-22-200000000000000000000000000-4444-4-44-42-2-22-22-2200000000000000000000000000

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