Finite Group Databasebeta

← Group #72230446

Character table — Group #72230446

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222244444445588888888888888881010101010161616161616161616161616181820202020203636364040404040606060606060606060606060606060607272729090120120120120180
order12334662356101212226666101012151515152030303030466663030303030303030606060602426612122101066661244448888242424242424242410102024121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ31111111111111111111111111111111111111111111111111-1-111111-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111-1-111111-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1
χ511111111111111-1-11111111111111111-1-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−i111-1-1i−ii−i-1
χ611111111111111-1-11111111111111111-1-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii111-1-1−ii−ii-1
χ711111111111111-1-11111111111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−iii−i−iiii−i−i−i−iii-1-1-111i−i−ii1
χ811111111111111-1-11111111111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i−iii−i−i−iiiii−i−i-1-1-111−iii−i1
χ91111111-111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-11111-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ101111111-111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-11111-111-1-1-1-11-1-1-1-1111111111111-1-1111-1-1-1-1-1
χ111111111-111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-111-1-11
χ121111111-111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-111-1-1-1-1-1111
χ131111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111-1i−ii−i−ii−ii−i−iii−i−iii-1-11-1-1i−ii−i1
χ141111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111-1−ii−iii−ii−iii−i−iii−i−i-1-11-1-1−ii−ii1
χ151111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11-1-11111-1i−i−ii−iii−i−i−iiiii−i−i11-111i−i−ii-1
χ161111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11-1-11111-1−iii−ii−i−iiii−i−i−i−iii11-111−iii−i-1
χ172222-22202222-2-222000000-22222-22222-2222200000000-2-2-2-22-2022-2-20220000-2000000000000000000-22-200000
χ182222-22202222-2-222000000-22222-22222-2222200000000-2-2-2-2-22022-2-20-2-20000-20000000000000000002-2200000
χ192222-22202222-2-2-2-2000000-22222-222222-2-2-2-200000000-2-2-2-22-20-2-22202200002000000000000000000-2-2200000
χ202222-22202222-2-2-2-2000000-22222-222222-2-2-2-200000000-2-2-2-2-220-2-2220-2-20000200000000000000000022-200000
χ21222-122-12-12-122-1222-1-1-122-12-1-1-122-1-1-122-12-122-1-1-1-1-1-12-1-1-1002-1-12-10002-1-1-1-1002200220000-1-1-1-10000000-1-10
χ22222-122-12-12-122-1222-1-1-122-12-1-1-122-1-1-122-12-122-1-1-1-1-1-12-1-1-1002-1-12-10002-1-1-1-100-2-200-2-2000011110000000110
χ23222-122-12-12-122-1-2-22-1-1-122-12-1-1-122-1-1-1-2-21-2122-1-1-1-1-1-12-1-1-100-211-21000-21111002i−2i002i−2i0000−i−iii0000000−ii0
χ24222-122-12-12-122-1-2-22-1-1-122-12-1-1-122-1-1-1-2-21-2122-1-1-1-1-1-12-1-1-100-211-21000-2111100−2i2i00−2i2i0000ii−i−i0000000i−i0
χ25222-122-1-2-12-122-122-2111-2-2-12-1-1-122-1-1-122-12-1-2-21111112-1-1-100-2-1-12-1000-2111-1002200-2-2000011110000000-1-10
χ26222-122-1-2-12-122-122-2111-2-2-12-1-1-122-1-1-122-12-1-2-21111112-1-1-100-2-1-12-1000-2111-100-2-200220000-1-1-1-10000000110
χ27222-122-1-2-12-122-1-2-2-2111-2-2-12-1-1-122-1-1-1-2-21-21-2-21111112-1-1-100211-210002-1-1-11002i−2i00−2i2i0000ii−i−i0000000−ii0
χ28222-122-1-2-12-122-1-2-2-2111-2-2-12-1-1-122-1-1-1-2-21-21-2-21111112-1-1-100211-210002-1-1-1100−2i2i002i−2i0000−i−iii0000000i−i0
χ2922-122-122-12-12-1222-12-1-122-1-12-1-12-12-1-12-12-12-1-122-1-1-1-1-12-1-1002-1-1-12000-12-1-1-122002200-1-1-1-1000000000-1-1000
χ3022-122-122-12-12-1222-12-1-122-1-12-1-12-12-1-12-12-12-1-122-1-1-1-1-12-1-1002-1-1-12000-12-1-1-1-2-200-2-200111100000000011000
χ3122-122-122-12-12-12-2-2-12-1-122-1-12-1-12-12-1-1-21-21-2-1-122-1-1-1-1-12-1-100-2111-20001-21112i−2i002i−2i00−i−iii000000000−ii000
χ3222-122-122-12-12-12-2-2-12-1-122-1-12-1-12-12-1-1-21-21-2-1-122-1-1-1-1-12-1-100-2111-20001-2111−2i2i00−2i2i00ii−i−i000000000i−i000
χ3322-122-12-2-12-12-12221-211-2-2-1-12-1-12-12-1-12-12-1211-2-21111-12-1-100-2-1-1-120001-211-12200-2-2001111000000000-1-1000
χ3422-122-12-2-12-12-12221-211-2-2-1-12-1-12-12-1-12-12-1211-2-21111-12-1-100-2-1-1-120001-211-1-2-2002200-1-1-1-100000000011000
χ3522-122-12-2-12-12-12-2-21-211-2-2-1-12-1-12-12-1-1-21-21-211-2-21111-12-1-1002111-2000-12-1-112i−2i00−2i2i00ii−i−i000000000−ii000
χ3622-122-12-2-12-12-12-2-21-211-2-2-1-12-1-12-12-1-1-21-21-211-2-21111-12-1-1002111-2000-12-1-11−2i2i002i−2i00−i−iii000000000i−i000
χ37444444444-14-144004444-1-14-1-1-1-1-1-1-1-1-100000-1-1-1-1-1-1-1-1-1-1-1-144000004-1-1000000000000000000000-1-1-10000000
χ38444444444-14-144004444-1-14-1-1-1-1-1-1-1-1-100000-1-1-1-1-1-1-1-1-1-1-1-1-4-400000-4110000000000000000000001110000000
χ394444444-44-14-14400-4-4-4-4114-1-1-1-1-1-1-1-1-10000011111111-1-1-1-14400000-4-1-100000000000000000000011-10000000
χ404444444-44-14-14400-4-4-4-4114-1-1-1-1-1-1-1-1-10000011111111-1-1-1-1-4-400000411000000000000000000000-1-110000000
χ414444-44404-14-1-4-4000000−55-4-1-1-1-11-1-1-1-100000−55−55−5−55511114-4000000-1-1000000000000000000000−5510000000
χ424444-44404-14-1-4-4000000−55-4-1-1-1-11-1-1-1-100000−55−55−5−5551111-44000000110000000000000000000005−5-10000000
χ434444-44404-14-1-4-40000005−5-4-1-1-1-11-1-1-1-1000005−55−555−5−511114-4000000-1-10000000000000000000005−510000000
χ444444-44404-14-1-4-40000005−5-4-1-1-1-11-1-1-1-1000005−55−555−5−51111-4400000011000000000000000000000−55-10000000
χ45444-2-44-20-24-24-424400000024-2-2-2-44-2-2-2-44-24-200000000-4222000-2-2-420000000200000000000000000000000000
χ46444-2-44-20-24-24-42-4-400000024-2-2-2-44-2-2-24-42-4200000000-4222000224-20000000-200000000000000000000000000
χ4744-24-4-240-24-242-4440000002-24-2-2-4-24-2-2-4-24-24000000002-422000-2-22-40000000200000000000000000000000000
χ4844-24-4-240-24-242-4-4-40000002-24-2-2-4-24-2-242-42-4000000002-42200022-240000000-200000000000000000000000000
χ4944-2-24-2-241414-2-244-2-211441-2-2114-2-2114-2-2-2-2-2-2-2-21111-2-21100411-2-2000-2-211100000000000000000000000000
χ5044-2-24-2-241414-2-2-4-4-2-211441-2-2114-2-211-42222-2-2-2-21111-2-21100-4-1-12200022-1-1-100000000000000000000000000
χ5144-2-24-2-2-41414-2-24422-1-1-4-41-2-2114-2-2114-2-2-2-22222-1-1-1-1-2-21100-411-2-200022-1-1100000000000000000000000000
χ5244-2-24-2-2-41414-2-2-4-422-1-1-4-41-2-2114-2-211-422222222-1-1-1-1-2-211004-1-122000-2-211-100000000000000000000000000
χ5344-2-2-4-2-2014142244003-300-1-2-211-4-2-211-4-2-2-2-200003-33-322-1-10001122000003-3-100000000000000000000000000
χ5444-2-2-4-2-201414224400-3300-1-2-211-4-2-211-4-2-2-2-20000-33-3322-1-1000112200000-33-100000000000000000000000000
χ5544-2-2-4-2-20141422-4-4003-300-1-2-211-4-2-2114222200003-33-322-1-1000-1-1-2-200000-33100000000000000000000000000
χ5644-2-2-4-2-20141422-4-400-3300-1-2-211-4-2-211422220000-33-3322-1-1000-1-1-2-2000003-3100000000000000000000000000
χ574-4440-4-4044-4-4004-4000000044440-4-4-4-404-4-440000000000000004-4000000000000000000000000000000000000
χ584-4440-4-4044-4-400-44000000044440-4-4-4-40-444-4000000000000000-44000000000000000000000000000000000000
χ594-44-20-420-242-4004-400000004-2-2-20-4222042-4-2000000000000000-220000000000000000000000−i6i6−i6i60000000000
χ604-44-20-420-242-4004-400000004-2-2-20-4222042-4-2000000000000000-220000000000000000000000i6−i6i6−i60000000000
χ614-44-20-420-242-400-4400000004-2-2-20-42220-4-2420000000000000002-200000000000000000000006−6−660000000000
χ624-44-20-420-242-400-4400000004-2-2-20-42220-4-2420000000000000002-20000000000000000000000−666−60000000000
χ634-4-2402-40-242-4004-40000000-24-2-202-4220-2-424000000000000000-220000000000000000006−66−600000000000000
χ644-4-2402-40-242-4004-40000000-24-2-202-4220-2-424000000000000000-22000000000000000000−66−6600000000000000
χ654-4-2402-40-242-400-440000000-24-2-202-422024-2-40000000000000002-2000000000000000000−i6i6i6−i600000000000000
χ664-4-2402-40-242-400-440000000-24-2-202-422024-2-40000000000000002-2000000000000000000i6−i6−i6i600000000000000
χ67888-488-48-4-2-4-28-4008-4-4-4-2-2-4-2111-2-211100000-2-2111111-211100000000000000000000000000000000000000000
χ68888-488-4-8-4-2-4-28-400-844422-4-2111-2-21110000022-1-1-1-1-1-1-211100000000000000000000000000000000000000000
χ69888-4-88-40-4-2-4-2-84000000−25254-21112-211100000−25255−555−5−52-1-1-100000000000000000000000000000000000000000
χ70888-4-88-40-4-2-4-2-8400000025−254-21112-21110000025−25−55−5−5552-1-1-100000000000000000000000000000000000000000
χ7188-488-488-4-2-4-2-4800-48-4-4-2-2-41-211-21-2110000011-2-211111-21100000000000000000000000000000000000000000
χ7288-488-48-8-4-2-4-2-48004-84422-41-211-21-21100000-1-122-1-1-1-11-21100000000000000000000000000000000000000000
χ7388-48-8-480-4-2-4-24-8000000−252541-21121-211000005−5−252555−5−5-12-1-100000000000000000000000000000000000000000
χ7488-48-8-480-4-2-4-24-800000025−2541-21121-21100000−5525−25−5−555-12-1-100000000000000000000000000000000000000000
χ7588-4-48-4-482-22-2-4-400-4-422-2-2211−1−352−1+352-211−1−352−1+352000001111−1−352−1+352−1+352−1−35211−1−352−1+35200000000000000000000000000000000000000000
χ7688-4-48-4-482-22-2-4-400-4-422-2-2211−1+352−1−352-211−1+352−1−352000001111−1+352−1−352−1−352−1+35211−1+352−1−35200000000000000000000000000000000000000000
χ7788-4-48-4-4-82-22-2-4-40044-2-222211−1−352−1+352-211−1−352−1+35200000-1-1-1-11+3521−3521−3521+35211−1−352−1+35200000000000000000000000000000000000000000
χ7888-4-48-4-4-82-22-2-4-40044-2-222211−1+352−1−352-211−1+352−1−35200000-1-1-1-11−3521+3521+3521−35211−1+352−1−35200000000000000000000000000000000000000000
χ7988-4-4-8-4-402-22-24400006-6−2525-211−1−352−1+352211−1−352−1+352000005−55−5−3−523−52−3+523+52-1-11+3521−35200000000000000000000000000000000000000000
χ8088-4-4-8-4-402-22-24400006-625−25-211−1+352−1−352211−1+352−1−35200000−55−55−3+523+52−3−523−52-1-11−3521+35200000000000000000000000000000000000000000
χ8188-4-4-8-4-402-22-2440000-66−2525-211−1+352−1−352211−1+352−1−352000005−55−53−52−3−523+52−3+52-1-11−3521+35200000000000000000000000000000000000000000
χ8288-4-4-8-4-402-22-2440000-6625−25-211−1−352−1+352211−1−352−1+35200000−55−553+52−3+523−52−3−52-1-11+3521−35200000000000000000000000000000000000000000
χ838-8880-8-808-2-8200000000000-2-2-2-2022220000000000000000000000000−25250000000000000000000000000000000
χ848-8880-8-808-2-8200000000000-2-2-2-202222000000000000000000000000025−250000000000000000000000000000000
χ858-8-4-4044028-2-8008-80000000-4-422044-2-20-444-40000000000000002-2000000000000000000000000000000000000
χ868-8-4-4044028-2-800-880000000-4-422044-2-204-4-44000000000000000-22000000000000000000000000000000000000
χ8716-1616-80-1680-8-48400000000000-422204-2-2-20000000000000000000000000000000000000000000000000000000000
χ8816-16-81608-160-8-484000000000002-4220-24-2-20000000000000000000000000000000000000000000000000000000000
χ8916-16-8-808804-4-440000000000022−1−35−1+350-2-21+351−350000000000000000000000000000000000000000000000000000000000
χ9016-16-8-808804-4-440000000000022−1+35−1−350-2-21−351+350000000000000000000000000000000000000000000000000000000000

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