Finite Group Databasebeta

← Group #11714037

Character table — Group #11714037

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order122244442222244444444366612121212244446612121212121212121212888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11-11-1
χ61111-1-1111111-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-11-11
χ71111-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-11-11
χ81111-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ102222222222222-2-2-2-22222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000000000
χ11222222-2-22222-2000022-2-222222222-20000-2-2-2-200000000000000000000
χ12222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3000000000000
χ13222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3000000000000
χ142222-2-2222222-222-2-2-2-222-1-1-1-11111-222-2-211-1-1-1-1-1-11111000000000000
χ152222-2-2222222-2-2-222-2-222-1-1-1-11111-2-2-22211-1-11111-1-1-1-1000000000000
χ162222-2-2-2-2222220000-2-2-2-22222-2-2-2-22000022-2-200000000000000000000
χ172222-2-2-2-2222220000-2-2-2-2-1-1-1-1111120000-1-111−i3−i3i3i3i3i3−i3−i3000000000000
χ182222-2-2-2-2222220000-2-2-2-2-1-1-1-1111120000-1-111i3i3−i3−i3−i3−i3i3i3000000000000
χ192-22-2002-22-22-20002i−2i002-222-2-200000002i−2i002-200002i−2i2i−2i000000000000
χ202-22-2002-22-22-20002i−2i002-2-1-111−i3−i3i3i30002i−2i−i3i3-113−33−3−ii−ii000000000000
χ212-22-2002-22-22-20002i−2i002-2-1-111i3i3−i3−i30002i−2ii3−i3-11−33−33−ii−ii000000000000
χ222-22-2002-22-22-2000−2i2i002-222-2-20000000−2i2i002-20000−2i2i−2i2i000000000000
χ232-22-2002-22-22-2000−2i2i002-2-1-111−i3−i3i3i3000−2i2i−i3i3-11−33−33i−ii−i000000000000
χ242-22-2002-22-22-2000−2i2i002-2-1-111i3i3−i3−i3000−2i2ii3−i3-113−33−3i−ii−i000000000000
χ252-22-200-222-22-202i−2i0000-2222-2-2000002i−2i0000-222i−2i−2i2i0000000000000000
χ262-22-200-222-22-202i−2i0000-22-1-111−i3−i3i3i302i−2i00i3−i31-1−iii−i3−3−33000000000000
χ272-22-200-222-22-202i−2i0000-22-1-111i3i3−i3−i302i−2i00−i3i31-1−iii−i−333−3000000000000
χ282-22-200-222-22-20−2i2i0000-2222-2-200000−2i2i0000-22−2i2i2i−2i0000000000000000
χ292-22-200-222-22-20−2i2i0000-22-1-111−i3−i3i3i30−2i2i00i3−i31-1i−i−ii−333−3000000000000
χ302-22-200-222-22-20−2i2i0000-22-1-111i3i3−i3−i30−2i2i00−i3i31-1i−i−ii3−3−33000000000000
χ312-2-222i−2i002-2-22000002i−2i002-22-22i−2i2i−2i000000000000000002−2−i2i22−2−i2i20000
χ322-2-222i−2i002-2-22000002i−2i002-22-22i−2i2i−2i00000000000000000−22i2−i2−22i2−i20000
χ332-2-22−2i2i002-2-2200000−2i2i002-22-2−2i2i−2i2i000000000000000002−2i2−i22−2i2−i20000
χ342-2-22−2i2i002-2-2200000−2i2i002-22-2−2i2i−2i2i00000000000000000−22−i2i2−22−i2i20000
χ3533333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-10000000000001111-1-1-1-111-1-1
χ3633333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-1000000000000-1-1-1-11111-1-111
χ3733333333-1-1-1-13-3-3-3-3-1-1-1-100000000-111110000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-13-3-3-3-3-1-1-1-100000000-11111000000000000-1-1-1-1111111-1-1
χ393333-3-333-1-1-1-1-333-3-311-1-1000000001-1-11100000000000011-1-1-1-1111-1-11
χ403333-3-333-1-1-1-1-333-3-311-1-1000000001-1-111000000000000-1-11111-1-1-111-1
χ413333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-100000000000011-1-1-1-111-111-1
χ423333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-1000000000000-1-11111-1-11-1-11
χ4344-4-4000044-4-40000000004-4-44000000000000000000000000000000000
χ4444-4-4000044-4-4000000000-222-223−23−232300000000000000000000000000000
χ4544-4-4000044-4-4000000000-222-2−232323−2300000000000000000000000000000
χ464-4-444i−4i004-4-44000004i−4i00-22-22−2i2i−2i2i00000000000000000000000000000
χ474-4-44−4i4i004-4-4400000−4i4i00-22-222i−2i2i−2i00000000000000000000000000000
χ48666666-6-6-2-2-2-2-60000-2-2220000000020000000000000000000000000000
χ496666-6-6-6-6-2-2-2-260000222200000000-20000000000000000000000000000
χ506-66-6006-6-22-220006i−6i00-2200000000000−2i2i000000000000000000000000
χ516-66-6006-6-22-22000−6i6i00-22000000000002i−2i000000000000000000000000
χ526-66-600-66-22-2206i−6i00002-2000000000−2i2i00000000000000000000000000
χ536-66-600-66-22-220−6i6i00002-20000000002i−2i00000000000000000000000000
χ546-6-666i−6i00-222-200000−2i2i0000000000000000000000000002−2−i2i2−22i2−i20000
χ556-6-666i−6i00-222-200000−2i2i000000000000000000000000000−22i2−i22−2−i2i20000
χ566-6-66−6i6i00-222-2000002i−2i0000000000000000000000000002−2i2−i2−22−i2i20000
χ576-6-66−6i6i00-222-2000002i−2i000000000000000000000000000−22−i2i22−2i2−i20000
χ581212-12-120000-4-4440000000000000000000000000000000000000000000000

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