Finite Group Databasebeta

← Group #72260366

Character table — Group #72260366

Order 7200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size12344688888888812121515161616161624242424242424242532323232323232323232323232323232454550606075120120150150150150150180180200240240240240300300300300400450450450450
order132556355151515151515101022315151515101030303030303021515151515151515151515151515151522610102664444610106303030301212121264444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1
χ3111111111111111111-11111111111111-111111111111111111-1-11-1-11-1i−ii−i-11-1-111-1-1i−ii−i-1i−ii−i
χ4111111111111111111-11111111111111-111111111111111111-1-11-1-11-1−ii−ii-11-1-111-1-1−ii−ii-1−ii−ii
χ511111111111111111-111111111111111-11111111111111111-11-1-11-1-11i−ii−i-1-11-1-1-111i−ii−i-1−ii−ii
χ611111111111111111-111111111111111-11111111111111111-11-1-11-1-11−ii−ii-1-11-1-1-111−ii−ii-1i−ii−i
χ711111111111111111-1-1111111111111111111111111111111-1-11-1-11-1-111111-1-11-1-1-1-111111-1-1-1-1
χ811111111111111111-1-1111111111111111111111111111111-1-11-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111
χ9222222-1222222222222-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-10000222-1-1-1-1-10000-10000
χ10222222-122222222222-2-1-1-1-1-122222222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-110000-22-21-1-111000010000
χ11222222-12222222222-22-1-1-1-1-122222222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-22-21-10000-2-22111-1-1000010000
χ12222222-12222222222-2-2-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-221100002-2-2-111110000-10000
χ132-1222-1222-1-1-1-1-1-12200-1222222-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-100-1002002222-10020000-1-1-1-1-10000
χ142-1222-1222-1-1-1-1-1-12200-1222222-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-100-100200-2-2-2-2-100200001111-10000
χ152-1222-1222-1-1-1-1-1-12200-1222222-1-1-1-1-1-1-2-1-1-1-12222-1-1-1-1-1-1-1-100100-2002i−2i2i−2i100-20000−ii−ii10000
χ162-1222-1222-1-1-1-1-1-12200-1222222-1-1-1-1-1-1-2-1-1-1-12222-1-1-1-1-1-1-1-100100-200−2i2i−2i2i100-20000i−ii−i10000
χ1733-133-1033333333-1-13300000-1-1-1-1-1-1-1-130000000000000000-1-1333-10011-1-1-1-1-10000011-1-1011-1-1
χ1833-133-1033333333-1-13300000-1-1-1-1-1-1-1-130000000000000000-1-1333-100-1-111-1-1-100000-1-1110-1-111
χ1933-133-1033333333-1-13-300000-1-1-1-1-1-1-1-1-30000000000000000-11-33-3100i−i−ii1-1100000i−i−ii0i−i−ii
χ2033-133-1033333333-1-13-300000-1-1-1-1-1-1-1-1-30000000000000000-11-33-3100−iii−i1-1100000−iii−i0−iii−i
χ2133-133-1033333333-1-1-3300000-1-1-1-1-1-1-1-1-300000000000000001-1-3-33100i−i−ii11-100000i−i−ii0−iii−i
χ2233-133-1033333333-1-1-3300000-1-1-1-1-1-1-1-1-300000000000000001-1-3-33100−iii−i11-100000−iii−i0i−i−ii
χ2333-133-1033333333-1-1-3-300000-1-1-1-1-1-1-1-130000000000000000113-3-3-10011-1-1-1110000011-1-10-1-111
χ2433-133-1033333333-1-1-3-300000-1-1-1-1-1-1-1-130000000000000000113-3-3-100-1-111-11100000-1-111011-1-1
χ254444-144-1-14-1-1-1-1-14-104444-1-1-1-14-1-1-1-1-1044-1-1-1-1-1-1-1-1-1-1-1-1-1-10400-1004000000-1000-1-1000000000
χ264444-144-1-14-1-1-1-1-14-10-4444-1-1-1-14-1-1-1-1-1044-1-1-1-1-1-1-1-1-1-1-1-1-1-10-400100-4000000100011000000000
χ274444-14-2-1-14-1-1-1-1-14-104-2-2-21−i1521+i152-1-14-1-1-1-1-10-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520400-100-2000000-10001−i1521+i152000000000
χ284444-14-2-1-14-1-1-1-1-14-104-2-2-21+i1521−i152-1-14-1-1-1-1-10-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520400-100-2000000-10001+i1521−i152000000000
χ294444-14-2-1-14-1-1-1-1-14-10-4-2-2-21−i1521+i152-1-14-1-1-1-1-10-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520-40010020000001000−1+i152−1−i152000000000
χ304444-14-2-1-14-1-1-1-1-14-10-4-2-2-21+i1521−i152-1-14-1-1-1-1-10-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520-40010020000001000−1−i152−1+i152000000000
χ31444-1444-1-1-14-1-1-1-1-14404-1-144-1-1-14-1-1-1-10-1-144-1-1-1-1-1-1-1-1-1-1-1-1400-1004000000-100-1-100000000000
χ32444-1444-1-1-14-1-1-1-1-14-404-1-144-1-1-14-1-1-1-10-1-144-1-1-1-1-1-1-1-1-1-1-1-1-400100-40000001001100000000000
χ33444-144-2-1-1-14-1-1-1-1-1440-21−i1521+i152-2-2-1-1-14-1-1-1-101−i1521+i152-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152400-100-2000000-1001−i1521+i15200000000000
χ34444-144-2-1-1-14-1-1-1-1-1440-21+i1521−i152-2-2-1-1-14-1-1-1-101+i1521−i152-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152400-100-2000000-1001+i1521−i15200000000000
χ35444-144-2-1-1-14-1-1-1-1-14-40-21−i1521+i152-2-2-1-1-14-1-1-1-101−i1521+i152-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-4001002000000100−1+i152−1−i15200000000000
χ36444-144-2-1-1-14-1-1-1-1-14-40-21+i1521−i152-2-2-1-1-14-1-1-1-101+i1521−i152-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-4001002000000100−1−i152−1+i15200000000000
χ374-2444-2-244-2-2-2-2-2-244001-2-2-2-244-2-2-2-2-2-241111-2-2-2-21111111100-2004000000-200-20000000010000
χ384-2444-2-244-2-2-2-2-2-244001-2-2-2-244-2-2-2-2-2-2-41111-2-2-2-21111111100200-4000000200200000000-10000
χ396-3-2661066-3-3-3-3-3-3-2-20000000-2-21111116000000000000000000-300-20022-2-210000000-1-11100000
χ406-3-2661066-3-3-3-3-3-3-2-20000000-2-21111116000000000000000000-300-200-2-2221000000011-1-100000
χ416-3-2661066-3-3-3-3-3-3-2-20000000-2-2111111-60000000000000000003002002i−2i−2i2i-10000000−iii−i00000
χ426-3-2661066-3-3-3-3-3-3-2-20000000-2-2111111-6000000000000000000300200−2i2i2i−2i-10000000i−i−ii00000
χ43888-2-2883-2-2-233-2-2-2-2008-2-2-2-23-2-2-233-2-20-2-2-2-23-2-2333-2-2-2-23300000000000000000000000000000
χ44888-2-288-23-2-2-2-233-2-2008-2-2-2-2-23-2-2-2-2330-2-2-2-2-233-2-2-23333-2-200000000000000000000000000000
χ45888-2-28-43-2-2-233-2-2-2-200-41−i151+i151−i151+i153-2-2-233-2-201−i151+i151−i151+i15−3+i15211−3−i152−3+i152−3+i1521111−3−i152−3−i15200000000000000000000000000000
χ46888-2-28-43-2-2-233-2-2-2-200-41+i151−i151+i151−i153-2-2-233-2-201+i151−i151+i151−i15−3−i15211−3+i152−3−i152−3−i1521111−3+i152−3+i15200000000000000000000000000000
χ47888-2-28-4-23-2-2-2-233-2-200-41−i151+i151+i151−i15-23-2-2-2-23301−i151+i151+i151−i151−3−i152−3+i152111−3−i152−3−i152−3+i152−3+i1521100000000000000000000000000000
χ48888-2-28-4-23-2-2-2-233-2-200-41+i151−i151−i151+i15-23-2-2-2-23301+i151−i151−i151+i151−3+i152−3−i152111−3+i152−3+i152−3−i152−3−i1521100000000000000000000000000000
χ498-488-2-48-2-2-4111118-200-488-2-2-2-2-4111110-4-411-2-2-2-21111111100000000000000000000000000000
χ508-488-2-4-4-2-2-4111118-2002-4-41−i151+i15-2-2-411111022−1+i152−1−i1521−i151−i151+i151+i15−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i15200000000000000000000000000000
χ518-488-2-4-4-2-2-4111118-2002-4-41+i151−i15-2-2-411111022−1−i152−1+i1521+i151+i151−i151−i15−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i15200000000000000000000000000000
χ528-48-28-48-2-21-41111-2800-4-2-288-2-21-41111011-4-4-2-2-2-21111111100000000000000000000000000000
χ538-48-28-4-4-2-21-41111-280021−i151+i15-4-4-2-21-411110−1+i152−1−i152221−i151+i151−i151+i15−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15200000000000000000000000000000
χ548-48-28-4-4-2-21-41111-280021+i151−i15-4-4-2-21-411110−1−i152−1+i152221+i151−i151+i151−i15−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15200000000000000000000000000000
χ558-48-2-2-483-211−3−i152−3+i1521−i151+i15-2-200-4-2-2-2-23-211−3−i152−3+i1521−i151+i15011113-2-23−3−i152−3+i1521−i151+i151−i151+i15−3−i152−3+i15200000000000000000000000000000
χ568-48-2-2-483-211−3+i152−3−i1521+i151−i15-2-200-4-2-2-2-23-211−3+i152−3−i1521+i151−i15011113-2-23−3+i152−3−i1521+i151−i151+i151−i15−3+i152−3−i15200000000000000000000000000000
χ578-48-2-2-48-23111−i151+i15−3+i152−3−i152-2-200-4-2-2-2-2-23111−i151+i15−3+i152−3−i15201111-233-21−i151+i15−3+i152−3−i152−3+i152−3−i1521−i151+i1500000000000000000000000000000
χ588-48-2-2-48-23111+i151−i15−3−i152−3+i152-2-200-4-2-2-2-2-23111+i151−i15−3−i152−3+i15201111-233-21+i151−i15−3−i152−3+i152−3−i152−3+i1521+i151−i1500000000000000000000000000000
χ598-48-2-2-4-43-211−3−i152−3+i1521−i151+i15-2-20021−i151+i151−i151+i153-211−3−i152−3+i1521−i151+i150−1+i152−1−i152−1+i152−1−i152−3+i15211−3−i152-39−i152−1+i152−1−i152−1+i152−1−i1529+i152-300000000000000000000000000000
χ608-48-2-2-4-43-211−3−i152−3+i1521−i151+i15-2-20021+i151−i151+i151−i153-211−3−i152−3+i1521−i151+i150−1−i152−1+i152−1−i152−1+i152−3−i15211−3+i1529+i152-3−1+i152−1−i152−1+i152−1−i152-39−i15200000000000000000000000000000
χ618-48-2-2-4-43-211−3+i152−3−i1521+i151−i15-2-20021−i151+i151−i151+i153-211−3+i152−3−i1521+i151−i150−1+i152−1−i152−1+i152−1−i152−3+i15211−3−i1529−i152-3−1−i152−1+i152−1−i152−1+i152-39+i15200000000000000000000000000000
χ628-48-2-2-4-43-211−3+i152−3−i1521+i151−i15-2-20021+i151−i151+i151−i153-211−3+i152−3−i1521+i151−i150−1−i152−1+i152−1−i152−1+i152−3−i15211−3+i152-39+i152−1−i152−1+i152−1−i152−1+i1529−i152-300000000000000000000000000000
χ638-48-2-2-4-4-23111−i151+i15−3+i152−3−i152-2-20021−i151+i151+i151−i15-23111−i151+i15−3+i152−3−i1520−1+i152−1−i152−1−i152−1+i1521−3−i152−3+i1521−1+i152−1−i152-39+i1529−i152-3−1+i152−1−i15200000000000000000000000000000
χ648-48-2-2-4-4-23111−i151+i15−3+i152−3−i152-2-20021+i151−i151−i151+i15-23111−i151+i15−3+i152−3−i1520−1−i152−1+i152−1+i152−1−i1521−3+i152−3−i1521−1+i152−1−i1529−i152-3-39+i152−1+i152−1−i15200000000000000000000000000000
χ658-48-2-2-4-4-23111+i151−i15−3−i152−3+i152-2-20021−i151+i151+i151−i15-23111+i151−i15−3−i152−3+i1520−1+i152−1−i152−1−i152−1+i1521−3−i152−3+i1521−1−i152−1+i1529+i152-3-39−i152−1−i152−1+i15200000000000000000000000000000
χ668-48-2-2-4-4-23111+i151−i15−3−i152−3+i152-2-20021+i151−i151−i151+i15-23111+i151−i15−3−i152−3+i1520−1−i152−1+i152−1+i152−1−i1521−3+i152−3−i1521−1−i152−1+i152-39−i1529+i152-3−1−i152−1+i15200000000000000000000000000000
χ671212-412-3-40-3-312-3-3-3-3-3-410120000011-411111000000000000000000-400-3000000000100000000000000
χ681212-412-3-40-3-312-3-3-3-3-3-410-120000011-4111110000000000000000004003000000000-100000000000000
χ691212-4-312-40-3-3-312-3-3-3-31-412000000111-4111100000000000000000-400-30000000001000000000000000
χ701212-4-312-40-3-3-312-3-3-3-31-4-12000000111-41111000000000000000004003000000000-1000000000000000
χ712424-8-6-6-809-6-6-699-6-6220000000-3222-3-3220000000000000000000000000000000000000000000000
χ722424-8-6-6-80-69-6-6-6-6992200000002-32222-3-30000000000000000000000000000000000000000000000
χ7324-12-824-640-6-6-1233333-820000000224-1-1-1-1-10000000000000000000000000000000000000000000000
χ7424-12-8-62440-6-63-1233332-8000000022-14-1-1-1-10000000000000000000000000000000000000000000000
χ7524-12-8-6-6409-633−9−3i152−9+3i1523−3i153+3i15220000000-32-1-13+i1523−i152−1+i15−1−i150000000000000000000000000000000000000000000000
χ7624-12-8-6-6409-633−9+3i152−9−3i1523+3i153−3i15220000000-32-1-13−i1523+i152−1−i15−1+i150000000000000000000000000000000000000000000000
χ7724-12-8-6-640-69333−3i153+3i15−9+3i152−9−3i1522200000002-3-1-1−1+i15−1−i153−i1523+i1520000000000000000000000000000000000000000000000
χ7824-12-8-6-640-69333+3i153−3i15−9−3i152−9+3i1522200000002-3-1-1−1−i15−1+i153+i1523−i1520000000000000000000000000000000000000000000000

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