# Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C24

Direct product G=N×Q with N=C3×C6 and Q=C24
dρLabelID
C23×C62288C2^3xC6^2288,1045

Semidirect products G=N:Q with N=C3×C6 and Q=C24
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊C24 = S32×C23φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6):C2^4288,1040
(C3×C6)⋊2C24 = S3×C23×C6φ: C24/C23C2 ⊆ Aut C3×C696(C3xC6):2C2^4288,1043
(C3×C6)⋊3C24 = C24×C3⋊S3φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6):3C2^4288,1044

Non-split extensions G=N.Q with N=C3×C6 and Q=C24
extensionφ:Q→Aut NdρLabelID
(C3×C6).1C24 = C2×S3×Dic6φ: C24/C22C22 ⊆ Aut C3×C696(C3xC6).1C2^4288,942
(C3×C6).2C24 = C2×D125S3φ: C24/C22C22 ⊆ Aut C3×C696(C3xC6).2C2^4288,943
(C3×C6).3C24 = C2×D12⋊S3φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).3C2^4288,944
(C3×C6).4C24 = D12.33D6φ: C24/C22C22 ⊆ Aut C3×C6484(C3xC6).4C2^4288,945
(C3×C6).5C24 = D12.34D6φ: C24/C22C22 ⊆ Aut C3×C6484-(C3xC6).5C2^4288,946
(C3×C6).6C24 = C2×Dic3.D6φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).6C2^4288,947
(C3×C6).7C24 = C2×D6.D6φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).7C2^4288,948
(C3×C6).8C24 = C2×D6.6D6φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).8C2^4288,949
(C3×C6).9C24 = S32×C2×C4φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).9C2^4288,950
(C3×C6).10C24 = C2×S3×D12φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).10C2^4288,951
(C3×C6).11C24 = C2×D6⋊D6φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).11C2^4288,952
(C3×C6).12C24 = S3×C4○D12φ: C24/C22C22 ⊆ Aut C3×C6484(C3xC6).12C2^4288,953
(C3×C6).13C24 = D1223D6φ: C24/C22C22 ⊆ Aut C3×C6244(C3xC6).13C2^4288,954
(C3×C6).14C24 = D1224D6φ: C24/C22C22 ⊆ Aut C3×C6484(C3xC6).14C2^4288,955
(C3×C6).15C24 = D1227D6φ: C24/C22C22 ⊆ Aut C3×C6244+(C3xC6).15C2^4288,956
(C3×C6).16C24 = Dic6.24D6φ: C24/C22C22 ⊆ Aut C3×C6488-(C3xC6).16C2^4288,957
(C3×C6).17C24 = S32×D4φ: C24/C22C22 ⊆ Aut C3×C6248+(C3xC6).17C2^4288,958
(C3×C6).18C24 = S3×D42S3φ: C24/C22C22 ⊆ Aut C3×C6488-(C3xC6).18C2^4288,959
(C3×C6).19C24 = Dic612D6φ: C24/C22C22 ⊆ Aut C3×C6248+(C3xC6).19C2^4288,960
(C3×C6).20C24 = D1212D6φ: C24/C22C22 ⊆ Aut C3×C6488-(C3xC6).20C2^4288,961
(C3×C6).21C24 = D1213D6φ: C24/C22C22 ⊆ Aut C3×C6248+(C3xC6).21C2^4288,962
(C3×C6).22C24 = D12.25D6φ: C24/C22C22 ⊆ Aut C3×C6488-(C3xC6).22C2^4288,963
(C3×C6).23C24 = Dic6.26D6φ: C24/C22C22 ⊆ Aut C3×C6488+(C3xC6).23C2^4288,964
(C3×C6).24C24 = S32×Q8φ: C24/C22C22 ⊆ Aut C3×C6488-(C3xC6).24C2^4288,965
(C3×C6).25C24 = S3×Q83S3φ: C24/C22C22 ⊆ Aut C3×C6488+(C3xC6).25C2^4288,966
(C3×C6).26C24 = D1215D6φ: C24/C22C22 ⊆ Aut C3×C6488-(C3xC6).26C2^4288,967
(C3×C6).27C24 = D1216D6φ: C24/C22C22 ⊆ Aut C3×C6488+(C3xC6).27C2^4288,968
(C3×C6).28C24 = C22×S3×Dic3φ: C24/C22C22 ⊆ Aut C3×C696(C3xC6).28C2^4288,969
(C3×C6).29C24 = C2×D6.3D6φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).29C2^4288,970
(C3×C6).30C24 = C2×D6.4D6φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).30C2^4288,971
(C3×C6).31C24 = C22×C6.D6φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).31C2^4288,972
(C3×C6).32C24 = C22×D6⋊S3φ: C24/C22C22 ⊆ Aut C3×C696(C3xC6).32C2^4288,973
(C3×C6).33C24 = C22×C3⋊D12φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).33C2^4288,974
(C3×C6).34C24 = C22×C322Q8φ: C24/C22C22 ⊆ Aut C3×C696(C3xC6).34C2^4288,975
(C3×C6).35C24 = C2×S3×C3⋊D4φ: C24/C22C22 ⊆ Aut C3×C648(C3xC6).35C2^4288,976
(C3×C6).36C24 = C2×Dic3⋊D6φ: C24/C22C22 ⊆ Aut C3×C624(C3xC6).36C2^4288,977
(C3×C6).37C24 = C32⋊2+ 1+4φ: C24/C22C22 ⊆ Aut C3×C6244(C3xC6).37C2^4288,978
(C3×C6).38C24 = C2×C6×Dic6φ: C24/C23C2 ⊆ Aut C3×C696(C3xC6).38C2^4288,988
(C3×C6).39C24 = S3×C22×C12φ: C24/C23C2 ⊆ Aut C3×C696(C3xC6).39C2^4288,989
(C3×C6).40C24 = C2×C6×D12φ: C24/C23C2 ⊆ Aut C3×C696(C3xC6).40C2^4288,990
(C3×C6).41C24 = C6×C4○D12φ: C24/C23C2 ⊆ Aut C3×C648(C3xC6).41C2^4288,991
(C3×C6).42C24 = S3×C6×D4φ: C24/C23C2 ⊆ Aut C3×C648(C3xC6).42C2^4288,992
(C3×C6).43C24 = C6×D42S3φ: C24/C23C2 ⊆ Aut C3×C648(C3xC6).43C2^4288,993
(C3×C6).44C24 = C3×D46D6φ: C24/C23C2 ⊆ Aut C3×C6244(C3xC6).44C2^4288,994
(C3×C6).45C24 = S3×C6×Q8φ: C24/C23C2 ⊆ Aut C3×C696(C3xC6).45C2^4288,995
(C3×C6).46C24 = C6×Q83S3φ: C24/C23C2 ⊆ Aut C3×C696(C3xC6).46C2^4288,996
(C3×C6).47C24 = C3×Q8.15D6φ: C24/C23C2 ⊆ Aut C3×C6484(C3xC6).47C2^4288,997
(C3×C6).48C24 = C3×S3×C4○D4φ: C24/C23C2 ⊆ Aut C3×C6484(C3xC6).48C2^4288,998
(C3×C6).49C24 = C3×D4○D12φ: C24/C23C2 ⊆ Aut C3×C6484(C3xC6).49C2^4288,999
(C3×C6).50C24 = C3×Q8○D12φ: C24/C23C2 ⊆ Aut C3×C6484(C3xC6).50C2^4288,1000
(C3×C6).51C24 = Dic3×C22×C6φ: C24/C23C2 ⊆ Aut C3×C696(C3xC6).51C2^4288,1001
(C3×C6).52C24 = C2×C6×C3⋊D4φ: C24/C23C2 ⊆ Aut C3×C648(C3xC6).52C2^4288,1002
(C3×C6).53C24 = C22×C324Q8φ: C24/C23C2 ⊆ Aut C3×C6288(C3xC6).53C2^4288,1003
(C3×C6).54C24 = C22×C4×C3⋊S3φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).54C2^4288,1004
(C3×C6).55C24 = C22×C12⋊S3φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).55C2^4288,1005
(C3×C6).56C24 = C2×C12.59D6φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).56C2^4288,1006
(C3×C6).57C24 = C2×D4×C3⋊S3φ: C24/C23C2 ⊆ Aut C3×C672(C3xC6).57C2^4288,1007
(C3×C6).58C24 = C2×C12.D6φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).58C2^4288,1008
(C3×C6).59C24 = C3282+ 1+4φ: C24/C23C2 ⊆ Aut C3×C672(C3xC6).59C2^4288,1009
(C3×C6).60C24 = C2×Q8×C3⋊S3φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).60C2^4288,1010
(C3×C6).61C24 = C2×C12.26D6φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).61C2^4288,1011
(C3×C6).62C24 = C3272- 1+4φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).62C2^4288,1012
(C3×C6).63C24 = C4○D4×C3⋊S3φ: C24/C23C2 ⊆ Aut C3×C672(C3xC6).63C2^4288,1013
(C3×C6).64C24 = C62.154C23φ: C24/C23C2 ⊆ Aut C3×C672(C3xC6).64C2^4288,1014
(C3×C6).65C24 = C3292- 1+4φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).65C2^4288,1015
(C3×C6).66C24 = C23×C3⋊Dic3φ: C24/C23C2 ⊆ Aut C3×C6288(C3xC6).66C2^4288,1016
(C3×C6).67C24 = C22×C327D4φ: C24/C23C2 ⊆ Aut C3×C6144(C3xC6).67C2^4288,1017
(C3×C6).68C24 = D4×C62central extension (φ=1)144(C3xC6).68C2^4288,1019
(C3×C6).69C24 = Q8×C62central extension (φ=1)288(C3xC6).69C2^4288,1020
(C3×C6).70C24 = C4○D4×C3×C6central extension (φ=1)144(C3xC6).70C2^4288,1021
(C3×C6).71C24 = C32×2+ 1+4central extension (φ=1)72(C3xC6).71C2^4288,1022
(C3×C6).72C24 = C32×2- 1+4central extension (φ=1)144(C3xC6).72C2^4288,1023

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