Finite Group Databasebeta

← Group #72259717

Character table — Group #72259717

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11223388991616181824242424272736364848484854545454545472727272727272729696108108108108108108108108144144144144144144162162162162162162216216216216
order12364436223666361212444433664488886612121212121236221212242424246612121212448888661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111
χ31111-1-11111111111-1-1-1-1111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1
χ51-11-1i−i1-11-11-1-111-1i−ii−ii−i11-1-1-11ii−i−i1-1i−ii−ii−i1-11-11-1ii−i−i1-1i−ii−ii−i11-1-11-1i−i
χ61-11-1i−i1-11-11-1-111-1i−ii−i−ii11-1-1-11−i−iii1-1−ii−iii−i1-1-111-1−i−iii1-1−iii−ii−i-1-111-11i−i
χ71-11-1−ii1-11-11-1-111-1−ii−iii−i11-1-1-11ii−i−i1-1i−ii−i−ii1-1-111-1ii−i−i1-1i−i−ii−ii-1-111-11−ii
χ81-11-1−ii1-11-11-1-111-1−ii−ii−ii11-1-1-11−i−iii1-1−ii−ii−ii1-11-11-1−i−iii1-1−ii−ii−ii11-1-11-1−ii
χ922222222222222-1-1222200-1-1-1-1220000-1-10000-1-1-1-100220000-1-100-1-122000000-1-1
χ1022222222-2-222-2-2-1-122-2-200-1-1-1-100i2−i2i2−i2110000-1-1-1-10000i2−i2i2−i21100-1-100i2−i2i2−i20011
χ1122222222-2-222-2-2-1-122-2-200-1-1-1-100−i2i2−i2i2110000-1-1-1-10000−i2i2−i2i21100-1-100−i2i2−i2i20011
χ122222-2-222222222-1-1-2-2-2-200-1-1-1-1220000-1-1000011-1-100220000-1-10011-2-200000011
χ132222-2-222-2-222-2-2-1-1-2-22200-1-1-1-100i2−i2i2−i211000011-1-10000i2−i2i2−i211001100−i2i2−i2i200-1-1
χ142222-2-222-2-222-2-2-1-1-2-22200-1-1-1-100−i2i2−i2i211000011-1-10000−i2i2−i2i211001100i2−i2i2−i200-1-1
χ1522-1-1002222-1-1-1-1220000222-1-1222222222-1-12200-1-100-1-1-1-1-1-1-1-1-1-1000000000000
χ1622-1-1002222-1-1-1-1220000-2-22-1-1222-2-2-2-22211-2-200-1-100-1-11111-1-111000000000000
χ172-22-22i−2i2-22-22-2-22-112i−2i2i−2i00-1-111-220000-110000−ii-11002-20000-1100−ii2i−2i000000−ii
χ182-22-22i−2i2-2-222-22-2-112i−2i−2i2i00-1-111002−2−221-10000−ii-1100002−2−221-100−ii00−i2i2i2−i200i−i
χ192-22-22i−2i2-2-222-22-2-112i−2i−2i2i00-1-11100−222−21-10000−ii-110000−222−21-100−ii00i2−i2−i2i200i−i
χ202-22-2−2i2i2-22-22-2-22-11−2i2i−2i2i00-1-111-220000-110000i−i-11002-20000-1100i−i−2i2i000000i−i
χ212-22-2−2i2i2-2-222-22-2-11−2i2i2i−2i00-1-111002−2−221-10000i−i-1100002−2−221-100i−i00i2−i2−i2i200−ii
χ222-22-2−2i2i2-2-222-22-2-11−2i2i2i−2i00-1-11100−222−21-10000i−i-110000−222−21-100i−i00−i2i2i2−i200−ii
χ232-2-11002-22-2-111-12-200002i−2i2-11-2-222i2i−2i−2i2-2−ii2i−2i00-1100-11−i−iii-11−ii000000000000
χ242-2-11002-22-2-111-12-20000−2i2i2-11-2-22−2i−2i2i2i2-2i−i−2i2i00-1100-11ii−i−i-11i−i000000000000
χ2533333333333333003333110000-1-1-1-1-1-1001111000011-1-1-1-1-1-1001100-1-1-1-1-1-11100
χ2633333333333333003333-1-10000-1-1111100-1-1-1-10000-1-1-1-1111100-1-100-1-11111-1-100
χ273333-3-33333333300-3-3-3-3110000-1-1-1-1-1-10011110000-1-1-1-1-1-1-1-1001100111111-1-100
χ283333-3-33333333300-3-3-3-3-1-10000-1-1111100-1-1-1-1000011-1-1111100-1-10011-1-1-1-11100
χ293-33-33i−3i3-33-33-3-33003i−3i3i−3ii−i00001-1−i−iii00i−ii−i00001-1-11−i−iii00i−i00−ii-1-1111-100
χ303-33-33i−3i3-33-33-3-33003i−3i3i−3i−ii00001-1ii−i−i00−ii−ii0000-11-11ii−i−i00−ii00−ii11-1-1-1100
χ313-33-3−3i3i3-33-33-3-3300−3i3i−3i3ii−i00001-1−i−iii00i−ii−i0000-11-11−i−iii00i−i00i−i11-1-1-1100
χ323-33-3−3i3i3-33-33-3-3300−3i3i−3i3i−ii00001-1ii−i−i00−ii−ii00001-1-11ii−i−i00−ii00i−i-1-1111-100
χ3344444444-4-444-4-41144-4-4001111000000-1-10000111100000000-1-1001100000000-1-1
χ344444-4-444-4-444-4-411-4-444001111000000-1-10000-1-11100000000-1-100-1-10000000011
χ3544-2-2004444-2-2-2-2-2-2000000-211-2440000-2-20000001100-2-200001100000000000000
χ3644-2-20044-4-4-2-222-2-2000000-211-2002i2−2i22i2−2i222000000110000−i2i2−i2i2-1-100000000000000
χ3744-2-20044-4-4-2-222-2-2000000-211-200−2i22i2−2i22i222000000110000i2−i2i2−i2-1-100000000000000
χ384-44-44i−4i4-4-444-44-41-14i−4i−4i4i0011-1-1000000-110000i−i1-100000000-1100i−i00000000−ii
χ394-44-4−4i4i4-4-444-44-41-1−4i4i4i−4i0011-1-1000000-110000−ii1-100000000-1100−ii00000000i−i
χ404-4-22004-44-4-222-2-22000000-21-12-440000-220000001-100-2200001-100000000000000
χ414-4-22004-4-44-22-22-22000000-21-120022−22−22222-20000001-10000−222−2-1100000000000000
χ424-4-22004-4-44-22-22-22000000-21-1200−222222−222-20000001-100002−2−22-1100000000000000
χ4366-3-3006666-3-3-3-3000000220000-2-2-2-2-2-200-1-12200000011111100-1-1000000000000
χ4466-3-3006666-3-3-3-3000000-2-20000-2-222220011-2-200000011-1-1-1-10011000000000000
χ456-6-33006-66-6-333-30000002i−2i00002-2−2i−2i2i2i00−ii2i−2i0000001-1ii−i−i00−ii000000000000
χ466-6-33006-66-6-333-3000000−2i2i00002-22i2i−2i−2i00i−i−2i2i0000001-1−i−iii00i−i000000000000
χ47888888-1-100-1-10022-1-10022-122-10000000022-1-122-1-12200000000-1-1-1-1000000-1-100
χ48888888-1-100-1-10022-1-100-2-2-122-100000000-2-21122-1-1-2-20000000011-1-10000001100
χ498888-8-8-1-100-1-10022110022-122-10000000022-1-1-2-2-1-1-2-200000000-1-1110000001100
χ508888-8-8-1-100-1-100221100-2-2-122-100000000-2-211-2-2-1-122000000001111000000-1-100
χ5188-4-40088-8-8-4-444220000002-1-12000000-2-2000000-1-1000000001100000000000000
χ528-88-88i−8i-1100-11002-2−ii002i−2i-12-21000000002i−2i−ii2i−2i-112-200000000−ii−ii000000-1100
χ538-88-88i−8i-1100-11002-2−ii00−2i2i-12-2100000000−2i2ii−i2i−2i-11-2200000000i−i−ii0000001-100
χ548-88-8−8i8i-1100-11002-2i−i002i−2i-12-21000000002i−2i−ii−2i2i-11-2200000000−iii−i0000001-100
χ558-88-8−8i8i-1100-11002-2i−i00−2i2i-12-2100000000−2i2ii−i−2i2i-112-200000000i−ii−i000000-1100
χ568-8-44008-8-88-44-442-20000002-11-2000000-22000000-11000000001-100000000000000
χ57161616161616-2-200-2-200-2-2-2-200001-2-21000000000000-2-211000000000000110000000000
χ5816161616-16-16-2-200-2-200-2-22200001-2-210000000000002211000000000000-1-10000000000
χ591616-8-800-2-200110044000044-2-2-2-200000000-2-2-2-20011000000000011000000000000
χ601616-8-800-2-2001100440000-4-4-2-2-2-200000000222200110000000000-1-1000000000000
χ6116-1616-1616i−16i-2200-2200-22−2i2i00001-22-1000000000000−2i2i1-1000000000000i−i0000000000
χ6216-1616-16−16i16i-2200-2200-222i−2i00001-22-10000000000002i−2i1-1000000000000−ii0000000000
χ6316-16-8800-22001-1004-400004i−4i-2-22200000000−2i2i−2i2i001-10000000000i−i000000000000
χ6416-16-8800-22001-1004-40000−4i4i-2-222000000002i−2i2i−2i001-10000000000−ii000000000000
χ653232-16-1600-4-4002200-4-4000000222200000000000000-1-1000000000000000000000000
χ6632-32-161600-44002-200-4400000022-2-200000000000000-11000000000000000000000000

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