Finite Group Databasebeta

← Group #11714035

Character table — Group #11714035

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order1222224422224444422443666666644444121212121212121212121212888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111-1-1-1-11111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ61111-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ71111-1-1111111-1-111-1-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ81111-1-1111111-1-111-1-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ10222222222222-2-2-2-222222-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-111111111000000000000
χ11222222-2-222220000-222-2-2222222220000-2-2-2-2-200000000000000000000
χ12222222-2-222220000-222-2-2-1-1-1-1-1-1-1-10000-21111−i3−i3i3i3−i3−i3i3i3000000000000
χ13222222-2-222220000-222-2-2-1-1-1-1-1-1-1-10000-21111i3i3−i3−i3i3i3−i3−i3000000000000
χ142222-2-222222222-2-2-2-2-222-1-11111-1-122-2-2-2-1-111-1-1-1-11111000000000000
χ152222-2-2222222-2-222-2-2-222-1-11111-1-1-2-222-2-1-1111111-1-1-1-1000000000000
χ162222-2-2-2-2222200002-2-2-2-222-2-2-2-22200002-2-22200000000000000000000
χ172222-2-2-2-2222200002-2-2-2-2-1-11111-1-10000211-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ182222-2-2-2-2222200002-2-2-2-2-1-11111-1-10000211-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ192-22-22-20022-2-2000002-2002-222-2-2-2200000000000000000−i2i2−i2i2−i2i2−i2i20000
χ202-22-22-20022-2-2000002-2002-222-2-2-2200000000000000000i2−i2i2−i2i2−i2i2−i20000
χ212-22-2-220022-2-200000-22002-2-2-222-2200000000000000000−i2i2i2−i2−i2i2i2−i20000
χ222-22-2-220022-2-200000-22002-2-2-222-2200000000000000000i2−i2−i2i2i2−i2−i2i20000
χ232-2-22002-22-22-2002i−2i0002-22-200002-2002i−2i02-20000002i−2i2i−2i000000000000
χ242-2-22002-22-22-2002i−2i0002-2-11−i3i3−i3i3-11002i−2i0-11−i3i33−33−3−ii−ii000000000000
χ252-2-22002-22-22-2002i−2i0002-2-11i3−i3i3−i3-11002i−2i0-11i3−i3−33−33−ii−ii000000000000
χ262-2-22002-22-22-200−2i2i0002-22-200002-200−2i2i02-2000000−2i2i−2i2i000000000000
χ272-2-22002-22-22-200−2i2i0002-2-11−i3i3−i3i3-1100−2i2i0-11−i3i3−33−33i−ii−i000000000000
χ282-2-22002-22-22-200−2i2i0002-2-11i3−i3i3−i3-1100−2i2i0-11i3−i33−33−3i−ii−i000000000000
χ292-2-2200-222-22-22i−2i00000-222-200002-22i−2i000-22002i−2i−2i2i0000000000000000
χ302-2-2200-222-22-22i−2i00000-22-11−i3i3−i3i3-112i−2i0001-1i3−i3−iii−i3−3−33000000000000
χ312-2-2200-222-22-22i−2i00000-22-11i3−i3i3−i3-112i−2i0001-1−i3i3−iii−i−333−3000000000000
χ322-2-2200-222-22-2−2i2i00000-222-200002-2−2i2i000-2200−2i2i2i−2i0000000000000000
χ332-2-2200-222-22-2−2i2i00000-22-11−i3i3−i3i3-11−2i2i0001-1i3−i3i−i−ii−333−3000000000000
χ342-2-2200-222-22-2−2i2i00000-22-11i3−i3i3−i3-11−2i2i0001-1−i3i3i−i−ii3−3−33000000000000
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
χ3733333333-1-1-1-1-3-3-3-33-1-1-1-1000000001111-10000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-1-3-3-3-33-1-1-1-1000000001111-1000000000000-1-1-1-1111111-1-1
χ393333-3-333-1-1-1-133-3-3-311-1-100000000-1-111100000000000011-1-1-1-1111-1-11
χ403333-3-333-1-1-1-133-3-3-311-1-100000000-1-1111000000000000-1-11111-1-1-111-1
χ413333-3-333-1-1-1-1-3-333-311-1-10000000011-1-1100000000000011-1-1-1-111-111-1
χ423333-3-333-1-1-1-1-3-333-311-1-10000000011-1-11000000000000-1-11111-1-11-1-11
χ4344-4-400004-4-44000000000440000-4-400000000000000000000000000000
χ4444-4-400004-4-44000000000-2-2−2i32i32i3−2i32200000000000000000000000000000
χ4544-4-400004-4-44000000000-2-22i3−2i3−2i32i32200000000000000000000000000000
χ464-44-44-40044-4-4000004-400-22-2-2222-200000000000000000000000000000
χ474-44-4-440044-4-400000-4400-2222-2-22-200000000000000000000000000000
χ48666666-6-6-2-2-2-20000-6-2-2220000000000002000000000000000000000000
χ496666-6-6-6-6-2-2-2-2000062222000000000000-2000000000000000000000000
χ506-66-66-600-2-22200000-22000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ516-66-66-600-2-22200000-22000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ526-66-6-6600-2-222000002-2000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ536-66-6-6600-2-222000002-2000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ546-6-66006-6-22-22006i−6i000-220000000000−2i2i0000000000000000000000000
χ556-6-66006-6-22-2200−6i6i000-2200000000002i−2i0000000000000000000000000
χ566-6-6600-66-22-226i−6i000002-200000000−2i2i000000000000000000000000000
χ576-6-6600-66-22-22−6i6i000002-2000000002i−2i000000000000000000000000000
χ581212-12-120000-444-40000000000000000000000000000000000000000000000

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