Finite Group Databasebeta

← Group #11921668

Character table — Group #11921668

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222446666888812121212121216161616161616161616242424242424242424242424363636363636484848487272
order1222344666121244443666441212121236661212121212122466881212242424242488881212121224
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ311111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111-1-1111-1-1-1-11111111-1-1-1111111-1-1-1-1-1-11-1111-1-1-111-1-11-111-1-111-1-1-11
χ611111-1-1111-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-1111-1-1-11111-1-11-1
χ711111-1-1111-1-1-1-1111111-11-1-1111111-1-1-1-1-1-11-1111-1-1-111-1-1-11-1-111-1-1111-1
χ811111-1-1111-1-1-1-1111111-11-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-111-1111-1-1-1-111-11
χ92222222222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000220000-1-1-1-100
χ102222222222222222-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1000000000000-2-20000111100
χ1122222-2-2222-2-2-2-222-1-1-1-12-2-2-222-1-1-1-11111110000000000002-20000-1-11100
χ1222222-2-2222-2-2-2-222-1-1-1-1-22-2-222-1-1-1-1111111000000000000-22000011-1-100
χ132222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1000000000000
χ142222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111000000000000
χ152222-1-2-2-1-1-111-2-22222220011-1-1-1-1-1-1-2-211112-2-1-12-211-1-111000000000000
χ162222-1-2-2-1-1-111-2-22222220011-1-1-1-1-1-1-2-21111-2211-22-1-111-1-1000000000000
χ1722-2-222i−2i-22-22i−2i2i−2i2-22-22-2002i−2i2-222-2-22i−2i2i2i−2i−2i000000000000000000000000
χ1822-2-222i−2i-22-22i−2i2i−2i2-2-11-11002i−2i2-2-1-111−ii−i−iii000000000000000000−i3i33−300
χ1922-2-222i−2i-22-22i−2i2i−2i2-2-11-11002i−2i2-2-1-111−ii−i−iii000000000000000000i3−i3−3300
χ2022-2-22−2i2i-22-2−2i2i−2i2i2-22-22-200−2i2i2-222-2-2−2i2i−2i−2i2i2i000000000000000000000000
χ2122-2-22−2i2i-22-2−2i2i−2i2i2-2-11-1100−2i2i2-2-1-111i−iii−i−i000000000000000000−i3i3−3300
χ2222-2-22−2i2i-22-2−2i2i−2i2i2-2-11-1100−2i2i2-2-1-111i−iii−i−i000000000000000000i3−i33−300
χ2322-2-2-12i−2i1-11−ii2i−2i2-22-22-200−ii-11-1-1112i−2i−i−iii00−i3i3003−3−i3i33−3000000000000
χ2422-2-2-12i−2i1-11−ii2i−2i2-22-22-200−ii-11-1-1112i−2i−i−iii00i3−i300−33i3−i3−33000000000000
χ2522-2-2-1−2i2i1-11i−i−2i2i2-22-22-200i−i-11-1-111−2i2iii−i−i00−i3i300−33−i3i3−33000000000000
χ2622-2-2-1−2i2i1-11i−i−2i2i2-22-22-200i−i-11-1-111−2i2iii−i−i00i3−i3003−3i3−i33−3000000000000
χ27333333333333-1-1-1-1000033-1-1-1-100000000001111-1-111-1-1-1-1-1-1-1-1-1-1000011
χ28333333333333-1-1-1-1000033-1-1-1-10000000000-1-1-1-111-1-11111-1-111110000-1-1
χ29333333333333-1-1-1-10000-3-3-1-1-1-100000000001111-1-111-1-1-1-11111110000-1-1
χ30333333333333-1-1-1-10000-3-3-1-1-1-10000000000-1-1-1-111-1-1111111-1-1-1-1000011
χ3133333-3-3333-3-311-1-100003-311-1-100000000001-111-11-1-1-1-111-11-1-1110000-11
χ3233333-3-3333-3-311-1-100003-311-1-10000000000-11-1-11-11111-1-1-1111-1-100001-1
χ3333333-3-3333-3-311-1-10000-3311-1-100000000001-111-11-1-1-1-1111-111-1-100001-1
χ3433333-3-3333-3-311-1-10000-3311-1-10000000000-11-1-11-11111-1-11-1-1-1110000-11
χ354444-244-2-2-2-2-24444-2-2-2-200-2-2-2-21111-2-21111000000000000000000000000
χ364444-2-4-4-2-2-222-4-444-2-2-2-20022-2-2111122-1-1-1-1000000000000000000000000
χ3744-4-4-24i−4i2-22−2i2i4i−4i4-4-22-2200−2i2i-2211-1-1−2i2iii−i−i000000000000000000000000
χ3844-4-4-2−4i4i2-222i−2i−4i4i4-4-22-22002i−2i-2211-1-12i−2i−i−iii000000000000000000000000
χ394-44-4400-4-44000000-2-222000000-22-220000000000000000000022−2200000000
χ404-44-4400-4-44000000-2-222000000-22-2200000000000000000000−222200000000
χ414-4-444004-4-4000000-222-2000000-222-20000000000000000000000−2i22i2000000
χ424-4-444004-4-4000000-222-2000000-222-200000000000000000000002i2−2i2000000
χ436666-366-3-3-3-3-3-2-2-2-20000001111000000000022-1-1-2-2-1-11111000000000000
χ446666-366-3-3-3-3-3-2-2-2-200000011110000000000-2-2112211-1-1-1-1000000000000
χ456666-3-6-6-3-3-33322-2-2000000-1-11100000000002-2-1-1-221111-1-1000000000000
χ466666-3-6-6-3-3-33322-2-2000000-1-1110000000000-22112-2-1-1-1-111000000000000
χ4766-6-666i−6i-66-66i−6i−2i2i-22000000−2i2i-220000000000000000000000000000000000
χ4866-6-66−6i6i-66-6−6i6i2i−2i-220000002i−2i-220000000000000000000000000000000000
χ4966-6-6-36i−6i3-33−3i3i−2i2i-22000000i−i1-1000000000000−i3i3003−3i3−i3−33000000000000
χ5066-6-6-36i−6i3-33−3i3i−2i2i-22000000i−i1-1000000000000i3−i300−33−i3i33−3000000000000
χ5166-6-6-3−6i6i3-333i−3i2i−2i-22000000−ii1-1000000000000−i3i300−33i3−i33−3000000000000
χ5266-6-6-3−6i6i3-333i−3i2i−2i-22000000−ii1-1000000000000i3−i3003−3−i3i3−33000000000000
χ538-88-8800-8-8800000022-2-20000002-22-2000000000000000000000000000000
χ548-88-8-40044-400000022-2-2000000-11-11003i−3i3i−3i000000000000000000000000
χ558-88-8-40044-400000022-2-2000000-11-1100−3i3i−3i3i000000000000000000000000
χ568-88-8-40044-4000000-4-4440000002-22-2000000000000000000000000000000
χ578-8-888008-8-80000002-2-220000002-2-22000000000000000000000000000000
χ588-8-88-400-4440000002-2-22000000-111-1003-3-33000000000000000000000000
χ598-8-88-400-4440000002-2-22000000-111-100-333-3000000000000000000000000
χ608-8-88-400-444000000-444-40000002-2-22000000000000000000000000000000

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