Extensions 1→N→G→Q→1 with N=C2xC72 and Q=C2

Direct product G=NxQ with N=C2xC72 and Q=C2
dρLabelID
C22xC72288C2^2xC72288,179

Semidirect products G=N:Q with N=C2xC72 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC72):1C2 = D18:C8φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):1C2288,27
(C2xC72):2C2 = C2.D72φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):2C2288,28
(C2xC72):3C2 = C9xC22:C8φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):3C2288,48
(C2xC72):4C2 = C9xD4:C4φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):4C2288,52
(C2xC72):5C2 = C2xD72φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):5C2288,114
(C2xC72):6C2 = D72:7C2φ: C2/C1C2 ⊆ Aut C2xC721442(C2xC72):6C2288,115
(C2xC72):7C2 = C2xC72:C2φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):7C2288,113
(C2xC72):8C2 = C2xC8xD9φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):8C2288,110
(C2xC72):9C2 = C2xC8:D9φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):9C2288,111
(C2xC72):10C2 = D36.2C4φ: C2/C1C2 ⊆ Aut C2xC721442(C2xC72):10C2288,112
(C2xC72):11C2 = D8xC18φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):11C2288,182
(C2xC72):12C2 = C9xC4oD8φ: C2/C1C2 ⊆ Aut C2xC721442(C2xC72):12C2288,185
(C2xC72):13C2 = SD16xC18φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):13C2288,183
(C2xC72):14C2 = M4(2)xC18φ: C2/C1C2 ⊆ Aut C2xC72144(C2xC72):14C2288,180
(C2xC72):15C2 = C9xC8oD4φ: C2/C1C2 ⊆ Aut C2xC721442(C2xC72):15C2288,181

Non-split extensions G=N.Q with N=C2xC72 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC72).1C2 = Dic9:C8φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).1C2288,22
(C2xC72).2C2 = C36.45D4φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).2C2288,24
(C2xC72).3C2 = C9xQ8:C4φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).3C2288,53
(C2xC72).4C2 = C9xC4:C8φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).4C2288,55
(C2xC72).5C2 = C72:1C4φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).5C2288,26
(C2xC72).6C2 = C2xDic36φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).6C2288,109
(C2xC72).7C2 = C72.C4φ: C2/C1C2 ⊆ Aut C2xC721442(C2xC72).7C2288,20
(C2xC72).8C2 = C8:Dic9φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).8C2288,25
(C2xC72).9C2 = C2xC9:C16φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).9C2288,18
(C2xC72).10C2 = C36.C8φ: C2/C1C2 ⊆ Aut C2xC721442(C2xC72).10C2288,19
(C2xC72).11C2 = C8xDic9φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).11C2288,21
(C2xC72).12C2 = C72:C4φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).12C2288,23
(C2xC72).13C2 = C9xC2.D8φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).13C2288,57
(C2xC72).14C2 = Q16xC18φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).14C2288,184
(C2xC72).15C2 = C9xC8.C4φ: C2/C1C2 ⊆ Aut C2xC721442(C2xC72).15C2288,58
(C2xC72).16C2 = C9xC4.Q8φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).16C2288,56
(C2xC72).17C2 = C9xC8:C4φ: C2/C1C2 ⊆ Aut C2xC72288(C2xC72).17C2288,47
(C2xC72).18C2 = C9xM5(2)φ: C2/C1C2 ⊆ Aut C2xC721442(C2xC72).18C2288,60

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