Finite Group Databasebeta

← Group #11724201

Character table — Group #11724201

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122223333446666668888889912121616161616161818181818182424242424243636363654545454
order12336622443666661212333666446633366644441212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111-1-1111111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111-1-1111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-111-1-1-11i−i1-111-1-1i−i111-1-1-1i−i1-1111-1-1-1i−ii−ii−iiii−i−i−ii−ii−i1-11-1
χ61-111-1-1-11i−i1-111-1-1i−i111-1-1-1i−i1-1111-1-1-1−ii−iii−iiii−i−i−i−ii−ii-11-11
χ71-111-1-1-11−ii1-111-1-1−ii111-1-1-1−ii1-1111-1-1-1i−ii−i−ii−i−i−iiiii−ii−i-11-11
χ81-111-1-1-11−ii1-111-1-1−ii111-1-1-1−ii1-1111-1-1-1−ii−ii−ii−i−i−iiii−ii−ii1-11-1
χ9222222222222222222-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-1-1-1-1-100000000
χ1022222222-2-2222222-2-2-1-1-1-1-1-1-2-222-1-1-1-1-1-10000-2-211111100000000
χ11222-12-12200-1-12-12-10022222200-1-1-1-1-1-1-1-1222200000000-1-1-1-10000
χ12222-12-12200-1-12-12-10022222200-1-1-1-1-1-1-1-1-2-2-2-20000000011110000
χ1322-12-122222-1-1-12-12-1-12-1-12-1-122-1-12-1-12-1-10000-1-12-1-12-1-100000000
χ1422-12-122222-1-1-12-12-1-1-12-1-12-122-1-1-12-1-12-10000-1-1-12-1-12-100000000
χ1522-12-122222-1-1-12-12-1-1-1-12-1-1222-1-1-1-12-1-120000-1-1-1-12-1-1200000000
χ1622-12-1222-2-2-1-1-12-12112-1-12-1-1-2-2-1-12-1-12-1-1000011-211-21100000000
χ1722-12-1222-2-2-1-1-12-1211-12-1-12-1-2-2-1-1-12-1-12-10000111-211-2100000000
χ1822-12-1222-2-2-1-1-12-1211-1-12-1-12-2-2-1-1-1-12-1-1200001111-211-200000000
χ192-222-2-2-222i−2i2-222-2-22i−2i-1-1-11112i−2i2-2-1-1-111100002i−2i−i−i−iiii00000000
χ202-222-2-2-22−2i2i2-222-2-2−2i2i-1-1-1111−2i2i2-2-1-1-11110000−2i2iiii−i−i−i00000000
χ212-22-1-21-2200-112-1-2100222-2-2-200-11-1-1-11112i−2i2i−2i00000000−ii−ii0000
χ222-22-1-21-2200-112-1-2100222-2-2-200-11-1-1-1111−2i2i−2i2i00000000i−ii−i0000
χ232-2-121-2-222i−2i-11-121-2−ii2-1-1-2112i−2i-112-1-1-2110000−ii2i−i−i−2iii00000000
χ242-2-121-2-222i−2i-11-121-2−ii-12-11-212i−2i-11-12-11-210000−ii−i2i−ii−2ii00000000
χ252-2-121-2-222i−2i-11-121-2−ii-1-1211-22i−2i-11-1-1211-20000−ii−i−i2iii−2i00000000
χ262-2-121-2-22−2i2i-11-121-2i−i2-1-1-211−2i2i-112-1-1-2110000i−i−2iii2i−i−i00000000
χ272-2-121-2-22−2i2i-11-121-2i−i-12-11-21−2i2i-11-12-11-210000i−ii−2ii−i2i−i00000000
χ282-2-121-2-22−2i2i-11-121-2i−i-1-1211-2−2i2i-11-1-1211-20000i−iii−2i−i−i2i00000000
χ29333333-1-13333-1-1-1-133000000-1-1-1-100000011-1-1-1-100000011-1-111-1-1
χ30333333-1-13333-1-1-1-133000000-1-1-1-1000000-1-111-1-1000000-1-111-1-111
χ31333333-1-1-3-333-1-1-1-1-3-300000011-1-100000011-1-11100000011-1-1-1-111
χ32333333-1-1-3-333-1-1-1-1-3-300000011-1-1000000-1-11111000000-1-11111-1-1
χ333-333-3-31-13i−3i3-3-1-1113i−3i000000−ii-11000000i−i−ii−ii000000i−i−ii1-1-11
χ343-333-3-31-13i−3i3-3-1-1113i−3i000000−ii-11000000−iii−i−ii000000−iii−i-111-1
χ353-333-3-31-1−3i3i3-3-1-111−3i3i000000i−i-11000000i−i−iii−i000000i−i−ii-111-1
χ363-333-3-31-1−3i3i3-3-1-111−3i3i000000i−i-11000000−iii−ii−i000000−iii−i1-1-11
χ37444-24-24400-2-24-24-200-2-2-2-2-2-200-2-211111100000000000000000000
χ3844-2-2-2-2440011-2-2-2-2004-2-24-2-20011-211-21100000000000000000000
χ3944-2-2-2-2440011-2-2-2-200-24-2-24-200111-211-2100000000000000000000
χ4044-2-2-2-2440011-2-2-2-200-2-24-2-24001111-211-200000000000000000000
χ414-44-2-42-4400-224-2-4200-2-2-222200-22111-1-1-100000000000000000000
χ424-4-2-222-44001-1-2-222004-2-2-422001-1-2112-1-100000000000000000000
χ434-4-2-222-44001-1-2-22200-24-22-42001-11-21-12-100000000000000000000
χ444-4-2-222-44001-1-2-22200-2-2422-4001-111-2-1-1200000000000000000000
χ45666-36-3-2-200-3-3-21-2100000000001100000022-2-200000000-1-1110000
χ46666-36-3-2-200-3-3-21-21000000000011000000-2-2220000000011-1-10000
χ4766-36-36-2-266-3-31-21-2-3-3000000-2-21100000000001100000000000000
χ4866-36-36-2-2-6-6-3-31-21-23300000022110000000000-1-100000000000000
χ496-66-3-632-200-33-212-100000000001-10000002i−2i−2i2i00000000−iii−i0000
χ506-66-3-632-200-33-212-100000000001-1000000−2i2i2i−2i00000000i−i−ii0000
χ516-6-363-62-26i−6i-331-2-12−3i3i000000−2i2i1-10000000000i−i00000000000000
χ526-6-363-62-2−6i6i-331-2-123i−3i0000002i−2i1-10000000000−ii00000000000000
χ531212-6-6-6-6-4-4003322220000000000-1-100000000000000000000000000
χ5412-12-6-6664-4003-322-2-20000000000-1100000000000000000000000000

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