Finite Group Databasebeta

← Group #14517113

Character table — Group #14517113

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222446666666666661212121212121818272727273636363636363636545454545454545454545454545454548181162162
order1233663633333366666633366636444433336666121212121212121212121212121212122266
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-111-1-11-1111111-1-1-1-1-1-1111-1-1-11-1i−ii−i1111-1-1-1-1i−ii−iiii−i−i−iiii−i−i−i1-11-1
χ61-111-1-11-1111111-1-1-1-1-1-1111-1-1-11-1i−i−ii1111-1-1-1-1i−i−iiiii−i−i−i−i−i−iiii-11-11
χ71-111-1-11-1111111-1-1-1-1-1-1111-1-1-11-1−iii−i1111-1-1-1-1−iii−i−i−i−iiiiiii−i−i−i-11-11
χ81-111-1-11-1111111-1-1-1-1-1-1111-1-1-11-1−ii−ii1111-1-1-1-1−ii−ii−i−i−iiii−i−i−iiii1-11-1
χ922222222222222222222222222-1-10000-1-1-1-1-1-1-1-1000000000000000022-1-1
χ1022222222222222222222222222-1-10000-1-1-1-1-1-1-1-10000000000000000-2-211
χ1122222222222-1-1-1222-1-1-1-1-1-1-1-1-12200222-1-1-12-1-1-10022000000-1-1-1-1-1-10000
χ1222222222222-1-1-1222-1-1-1-1-1-1-1-1-12200-2-22-1-1-12-1-1-100-2-20000001111110000
χ1322222222-1-1-1222-1-1-1222-1-1-1-1-1-1222200-12-1-1-12-1-12200-1-1-1-1-1-10000000000
χ1422222222-1-1-1222-1-1-1222-1-1-1-1-1-122-2-200-12-1-1-12-1-1-2-2001111110000000000
χ152-222-2-22-2222222-2-2-2-2-2-2222-2-2-2-110000-1-1-1-1111100000000000000002-2-11
χ162-222-2-22-2222222-2-2-2-2-2-2222-2-2-2-110000-1-1-1-111110000000000000000-221-1
χ172-222-2-22-2222-1-1-1-2-2-2111-1-1-11112-2002i−2i2-1-1-1-2111002i−2i000000−i−i−iiii0000
χ182-222-2-22-2222-1-1-1-2-2-2111-1-1-11112-200−2i2i2-1-1-1-211100−2i2i000000iii−i−i−i0000
χ192-222-2-22-2-1-1-1222111-2-2-2-1-1-11112-22i−2i00-12-1-11-2112i−2i00−i−i−iiii0000000000
χ202-222-2-22-2-1-1-1222111-2-2-2-1-1-11112-2−2i2i00-12-1-11-211−2i2i00iii−i−i−i0000000000
χ2144444444444-2-2-2444-2-2-2-2-2-2-2-2-2-2-20000-2111-211100000000000000000000
χ2244444444-2-2-2444-2-2-2444-2-2-2-2-2-2-2-200001-2111-21100000000000000000000
χ2344444444-2-2-2-2-2-2-2-2-2-2-2-2111111440000-2-211-2-21100000000000000000000
χ2444444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2000011−1−3i32−1+3i3211−1−3i32−1+3i3200000000000000000000
χ2544444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2000011−1+3i32−1−3i3211−1+3i32−1−3i3200000000000000000000
χ264-444-4-44-4444-2-2-2-4-4-4222-2-2-2222-220000-21112-1-1-100000000000000000000
χ274-444-4-44-4-2-2-2444222-4-4-4-2-2-2222-2200001-211-12-1-100000000000000000000
χ284-444-4-44-4-2-2-2-2-2-2222222111-1-1-14-40000-2-21122-1-100000000000000000000
χ294-444-4-44-4-2-2-2-2-2-2222222111-1-1-1-22000011−1−3i32−1+3i32-1-11+3i321−3i3200000000000000000000
χ304-444-4-44-4-2-2-2-2-2-2222222111-1-1-1-22000011−1+3i32−1−3i32-1-11−3i321+3i3200000000000000000000
χ31666-36-3-3-30006-3-30006-3-30000000000220000000000-1-10000002-1-12-1-10000
χ32666-36-3-3-30006-3-30006-3-30000000000-2-2000000000011000000-211-2110000
χ33666-36-3-3-3000-36-3000-36-30000000000220000000000-1-1000000-12-1-12-10000
χ34666-36-3-3-3000-36-3000-36-30000000000-2-20000000000110000001-211-210000
χ35666-36-3-3-3000-3-36000-3-360000000000220000000000-1-1000000-1-12-1-120000
χ36666-36-3-3-3000-3-36000-3-360000000000-2-200000000001100000011-211-20000
χ3766-36-36-3-36-3-30006-3-300000000000220000000000-1-1002-1-12-1-10000000000
χ3866-36-36-3-36-3-30006-3-300000000000-2-200000000001100-211-2110000000000
χ3966-36-36-3-3-36-3000-36-300000000000220000000000-1-100-12-1-12-10000000000
χ4066-36-36-3-3-36-3000-36-300000000000-2-2000000000011001-211-210000000000
χ4166-36-36-3-3-3-36000-3-3600000000000220000000000-1-100-1-12-1-120000000000
χ4266-36-36-3-3-3-36000-3-3600000000000-2-20000000000110011-211-20000000000
χ436-66-3-63-330006-3-3000-63300000000002i−2i0000000000−ii0000002i−i−i−2iii0000
χ446-66-3-63-330006-3-3000-6330000000000−2i2i0000000000i−i000000−2iii2i−i−i0000
χ456-66-3-63-33000-36-30003-6300000000002i−2i0000000000−ii000000−i2i−ii−2ii0000
χ466-66-3-63-33000-36-30003-630000000000−2i2i0000000000i−i000000i−2ii−i2i−i0000
χ476-66-3-63-33000-3-3600033-600000000002i−2i0000000000−ii000000−i−i2iii−2i0000
χ486-66-3-63-33000-3-3600033-60000000000−2i2i0000000000i−i000000ii−2i−i−i2i0000
χ496-6-363-6-336-3-3000-633000000000002i−2i0000000000−ii002i−i−i−2iii0000000000
χ506-6-363-6-336-3-3000-63300000000000−2i2i0000000000i−i00−2iii2i−i−i0000000000
χ516-6-363-6-33-36-30003-63000000000002i−2i0000000000−ii00−i2i−ii−2ii0000000000
χ526-6-363-6-33-36-30003-6300000000000−2i2i0000000000i−i00i−2ii−i2i−i0000000000
χ536-6-363-6-33-3-3600033-6000000000002i−2i0000000000−ii00−i−i2iii−2i0000000000
χ546-6-363-6-33-3-3600033-600000000000−2i2i0000000000i−i00ii−2i−i−i2i0000000000
χ551212-6-6-6-6330000000000006-3-36-3-30000000000000000000000000000000000
χ561212-6-6-6-633000000000000-36-3-36-30000000000000000000000000000000000
χ571212-6-6-6-633000000000000-3-36-3-360000000000000000000000000000000000
χ5812-12-6-6663-30000000000006-3-3-6330000000000000000000000000000000000
χ5912-12-6-6663-3000000000000-36-33-630000000000000000000000000000000000
χ6012-12-6-6663-3000000000000-3-3633-60000000000000000000000000000000000

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