Finite Group Databasebeta

← Group #10595131

Character table — Group #10595131

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order12223344666666444422366666661212121222444412121212666666121244446612121212121212124444121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-11-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1
χ9111111-1-111111111111-1111-1-1111-1-1-1-111-1-1-1-111111-111-1-1-1-11-11-111-1-1-1-111-1-1-1-1111-11-1
χ10111111-1-111111111111-1111-1-1111-1-1-1-1-1-111-1-111111-111-1-1-1-11-1-11-1-1-1-11111-1-111-1-1-11-11
χ11111111-1-11111111111-111-1-111111-1-1-1-111-1-1-1-11111-11-1-111-1-1-11-1111-1-1-1-1-1-111-1-111-11-11
χ12111111-1-11111111111-111-1-111111-1-1-1-1-1-111-1-11111-11-1-111-1-1-111-1-1-1-1-111-1-11111-1-11-11-1
χ13111111-1-1111111-1-1-1-11-1111-1-1111-1-1-1-111-1-111-1-1-1-11-111-1-1-1-1-111-11111-1-1-1-11111-1-11-1-11
χ14111111-1-1111111-1-1-1-11-1111-1-1111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1-11-11-1-11111-1-111-1-111-111-1
χ15111111-1-1111111-1-1-1-1-111-1-111111-1-1-1-111-1-111-1-1-1-1-11-1-111-1-11-1-111111-1-111-1-111-1-1-111-1
χ16111111-1-1111111-1-1-1-1-111-1-111111-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-11-11-1-1-1111111-1-1-1-1111-1-11
χ1722222-122-122-1-12000022-12222-1-1-122-1-12222000000-1-1-1-1-1-1-1-10022-1-100-1-100000000-1-100
χ1822222-122-122-1-12000022-12222-1-1-122-1-1-2-2-2-2000000-1-1-1-1-1-1-1-100-2-2110011000000001100
χ1922222-122-122-1-120000-2-2-1-2-2-2-2-1-1-122-1-12222000000111111-1-100-2-2-1-100-1-1000000001100
χ2022222-122-122-1-120000-2-2-1-2-2-2-2-1-1-122-1-1-2-2-2-2000000111111-1-1002211001100000000-1-100
χ2122222-1-2-2-122-1-1200002-2-122-2-2-1-1-1-2-21122-2-2000000-11-1-11111002-2-1-1001100000000-1100
χ2222222-1-2-2-122-1-1200002-2-122-2-2-1-1-1-2-211-2-222000000-11-1-1111100-221100-1-1000000001-100
χ2322222-1-2-2-122-1-120000-22-1-2-222-1-1-1-2-21122-2-20000001-111-1-11100-22-1-10011000000001-100
χ2422222-1-2-2-122-1-120000-22-1-2-222-1-1-1-2-211-2-2220000001-111-1-111002-21100-1-100000000-1100
χ252222-12222-1-122-1222222-1-1-1-1-1-1-1-1-1-122000022-1-1-1-122-1-1-1-1-1-1220000-1-100-1-1-1-100000000
χ262222-12222-1-122-12222-2-2-11111-1-1-1-1-122000022-1-1-1-1-2-21111-1-1-2-20000-1-100111100000000
χ272222-12222-1-122-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1220000-2-2111122-1-1-1-1-1-1-2-200001100111100000000
χ282222-12222-1-122-1-2-2-2-2-2-2-11111-1-1-1-1-1220000-2-21111-2-21111-1-12200001100-1-1-1-100000000
χ292222-12-2-22-1-122-122222-2-1-1-111-1-1-111-2-20000-2-2-1-1-1-12-2-1-111112-200001100-1-11100000000
χ302222-12-2-22-1-122-12222-22-111-1-1-1-1-111-2-20000-2-2-1-1-1-1-2211-1-111-220000110011-1-100000000
χ312222-12-2-22-1-122-1-2-2-2-22-2-1-1-111-1-1-111-2-200002211112-2-1-11111-220000-1-10011-1-100000000
χ322222-12-2-22-1-122-1-2-2-2-2-22-111-1-1-1-1-111-2-20000221111-2211-1-1112-20000-1-100-1-11100000000
χ3322-2-2222-2-22-22-2-22i2i−2i−2i0020000-2-222-22-200002i−2i2i2i−2i−2i0000002-20000002i−2i00000000000000
χ3422-2-2222-2-22-22-2-2−2i−2i2i2i0020000-2-222-22-20000−2i2i−2i−2i2i2i0000002-2000000−2i2i00000000000000
χ3522-2-222-22-22-22-2-22i2i−2i−2i0020000-2-22-22-220000−2i2i2i2i−2i−2i000000-22000000−2i2i00000000000000
χ3622-2-222-22-22-22-2-2−2i−2i2i2i0020000-2-22-22-2200002i−2i−2i−2i2i2i000000-220000002i−2i00000000000000
χ3722-2-2-122-2-2-112-212i2i−2i−2i00-1−i3i3−i3i311-1-112-200002i−2i−i−iii00−i3i3−i3i3-11000000−ii003−33−300000000
χ3822-2-2-122-2-2-112-212i2i−2i−2i00-1i3−i3i3−i311-1-112-200002i−2i−i−iii00i3−i3i3−i3-11000000−ii00−33−3300000000
χ3922-2-2-122-2-2-112-21−2i−2i2i2i00-1−i3i3−i3i311-1-112-20000−2i2iii−i−i00−i3i3−i3i3-11000000i−i00−33−3300000000
χ4022-2-2-122-2-2-112-21−2i−2i2i2i00-1i3−i3i3−i311-1-112-20000−2i2iii−i−i00i3−i3i3−i3-11000000i−i003−33−300000000
χ4122-2-2-12-22-2-112-212i2i−2i−2i00-1−i3i3i3−i311-11-1-220000−2i2i−i−iii00−i3i3i3−i31-1000000i−i003−3−3300000000
χ4222-2-2-12-22-2-112-212i2i−2i−2i00-1i3−i3−i3i311-11-1-220000−2i2i−i−iii00i3−i3−i3i31-1000000i−i00−333−300000000
χ4322-2-2-12-22-2-112-21−2i−2i2i2i00-1−i3i3i3−i311-11-1-2200002i−2iii−i−i00−i3i3i3−i31-1000000−ii00−333−300000000
χ4422-2-2-12-22-2-112-21−2i−2i2i2i00-1i3−i3−i3i311-11-1-2200002i−2iii−i−i00i3−i3−i3i31-1000000−ii003−3−3300000000
χ452-22-222002-22-2-2-22i−2i2i−2i00200002-2-20000002i−2i002i−2i2i−2i00000000000000002i−2i00002-2000000
χ462-22-222002-22-2-2-22i−2i2i−2i00200002-2-2000000−2i2i002i−2i2i−2i0000000000000000−2i2i0000-22000000
χ472-22-222002-22-2-2-2−2i2i−2i2i00200002-2-20000002i−2i00−2i2i−2i2i00000000000000002i−2i0000-22000000
χ482-22-222002-22-2-2-2−2i2i−2i2i00200002-2-2000000−2i2i00−2i2i−2i2i0000000000000000−2i2i00002-2000000
χ492-2-222200-2-2-2-2222-2-220020000-22-200002-200002-2-220000000000002-200000000002-20000
χ502-2-222200-2-2-2-2222-2-220020000-22-20000-2200002-2-22000000000000-220000000000-220000
χ512-2-222200-2-2-2-222-222-20020000-22-200002-20000-222-20000000000002-20000000000-220000
χ522-2-222200-2-2-2-222-222-20020000-22-20000-220000-222-2000000000000-2200000000002-20000
χ534444-2-244-2-2-2-2-2-20000441-2-2-2-2111-2-2-2-20000000000-2-21111110000000000000000000000
χ544444-2-244-2-2-2-2-2-20000-4-412222111-2-2-2-2000000000022-1-1-1-1110000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-200004-41-2-22211122220000000000-2211-1-1-1-10000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20000-44122-2-2111222200000000002-2-1-111-1-10000000000000000000000
χ5744-4-44-24-424-4-22-4000000-2000022-24-4-220000000000000000-220000000000000000000000
χ5844-4-44-2-4424-4-22-4000000-2000022-2-442-200000000000000002-20000000000000000000000
χ5944-4-4-2-24-42-22-2220000001−2i32i3−2i32i3-1-11-22-22000000000000i3−i3i3−i31-10000000000000000000000
χ6044-4-4-2-24-42-22-22200000012i3−2i32i3−2i3-1-11-22-22000000000000−i3i3−i3i31-10000000000000000000000
χ6144-4-4-2-2-442-22-2220000001−2i32i32i3−2i3-1-112-22-2000000000000i3−i3−i3i3-110000000000000000000000
χ6244-4-4-2-2-442-22-22200000012i3−2i3−2i32i3-1-112-22-2000000000000−i3i3i3−i3-110000000000000000000000
χ634-44-44-200-2-4422-4000000-20000-2220000004i−4i0000000000000000000000−2i2i000000000000
χ644-44-44-200-2-4422-4000000-20000-222000000−4i4i00000000000000000000002i−2i000000000000
χ654-44-4-240042-2-4-424i−4i4i−4i00-20000-2220000000000−2i2i−2i2i000000000000000000000000000000
χ664-44-4-240042-2-4-42−4i4i−4i4i00-20000-22200000000002i−2i2i−2i000000000000000000000000000000
χ674-4-444-2002-4-42-24000000-200002-2200004-400000000000000000000-220000000000000000
χ684-4-444-2002-4-42-24000000-200002-220000-44000000000000000000002-20000000000000000
χ694-4-44-2400-422-44-24-4-4400-200002-220000000000-222-2000000000000000000000000000000
χ704-4-44-2400-422-44-2-444-400-200002-2200000000002-2-22000000000000000000000000000000
χ718-88-8-4-400-44-4444000000200002-2-200000000000000000000000000000000000000000000
χ728-8-88-4-4004444-4-400000020000-22-200000000000000000000000000000000000000000000

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