Extensions 1→N→G→Q→1 with N=C2xC3:C8 and Q=C2

Direct product G=NxQ with N=C2xC3:C8 and Q=C2
dρLabelID
C22xC3:C896C2^2xC3:C896,127

Semidirect products G=N:Q with N=C2xC3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC3:C8):1C2 = C6.D8φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):1C296,16
(C2xC3:C8):2C2 = D4:Dic3φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):2C296,39
(C2xC3:C8):3C2 = D12.C4φ: C2/C1C2 ⊆ Out C2xC3:C8484(C2xC3:C8):3C296,114
(C2xC3:C8):4C2 = C2xD4:S3φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):4C296,138
(C2xC3:C8):5C2 = C2xD4.S3φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):5C296,140
(C2xC3:C8):6C2 = C2xQ8:2S3φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):6C296,148
(C2xC3:C8):7C2 = D4.Dic3φ: C2/C1C2 ⊆ Out C2xC3:C8484(C2xC3:C8):7C296,155
(C2xC3:C8):8C2 = Q8.13D6φ: C2/C1C2 ⊆ Out C2xC3:C8484(C2xC3:C8):8C296,157
(C2xC3:C8):9C2 = D6:C8φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):9C296,27
(C2xC3:C8):10C2 = C12.55D4φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):10C296,37
(C2xC3:C8):11C2 = C2xC8:S3φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):11C296,107
(C2xC3:C8):12C2 = C2xC4.Dic3φ: C2/C1C2 ⊆ Out C2xC3:C848(C2xC3:C8):12C296,128
(C2xC3:C8):13C2 = S3xC2xC8φ: trivial image48(C2xC3:C8):13C296,106

Non-split extensions G=N.Q with N=C2xC3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC3:C8).1C2 = C6.Q16φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).1C296,14
(C2xC3:C8).2C2 = C12.Q8φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).2C296,15
(C2xC3:C8).3C2 = C6.SD16φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).3C296,17
(C2xC3:C8).4C2 = C12.53D4φ: C2/C1C2 ⊆ Out C2xC3:C8484(C2xC3:C8).4C296,29
(C2xC3:C8).5C2 = Q8:2Dic3φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).5C296,42
(C2xC3:C8).6C2 = C2xC3:Q16φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).6C296,150
(C2xC3:C8).7C2 = C42.S3φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).7C296,10
(C2xC3:C8).8C2 = C12:C8φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).8C296,11
(C2xC3:C8).9C2 = Dic3:C8φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).9C296,21
(C2xC3:C8).10C2 = C24:C4φ: C2/C1C2 ⊆ Out C2xC3:C896(C2xC3:C8).10C296,22
(C2xC3:C8).11C2 = C4xC3:C8φ: trivial image96(C2xC3:C8).11C296,9
(C2xC3:C8).12C2 = C8xDic3φ: trivial image96(C2xC3:C8).12C296,20

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