Extensions 1→N→G→Q→1 with N=Dic3xC3xC6 and Q=C2

Direct product G=NxQ with N=Dic3xC3xC6 and Q=C2
dρLabelID
Dic3xC62144Dic3xC6^2432,708

Semidirect products G=N:Q with N=Dic3xC3xC6 and Q=C2
extensionφ:Q→Out NdρLabelID
(Dic3xC3xC6):1C2 = C3xD6:Dic3φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6):1C2432,426
(Dic3xC3xC6):2C2 = C3xC6.D12φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6):2C2432,427
(Dic3xC3xC6):3C2 = C62.78D6φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6):3C2432,450
(Dic3xC3xC6):4C2 = C62.79D6φ: C2/C1C2 ⊆ Out Dic3xC3xC672(Dic3xC3xC6):4C2432,451
(Dic3xC3xC6):5C2 = C32xD6:C4φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6):5C2432,474
(Dic3xC3xC6):6C2 = C32xC6.D4φ: C2/C1C2 ⊆ Out Dic3xC3xC672(Dic3xC3xC6):6C2432,479
(Dic3xC3xC6):7C2 = C2xC33:8D4φ: C2/C1C2 ⊆ Out Dic3xC3xC672(Dic3xC3xC6):7C2432,682
(Dic3xC3xC6):8C2 = C62.93D6φ: C2/C1C2 ⊆ Out Dic3xC3xC672(Dic3xC3xC6):8C2432,678
(Dic3xC3xC6):9C2 = C3xD6.3D6φ: C2/C1C2 ⊆ Out Dic3xC3xC6244(Dic3xC3xC6):9C2432,652
(Dic3xC3xC6):10C2 = C6xC3:D12φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6):10C2432,656
(Dic3xC3xC6):11C2 = S3xC6xDic3φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6):11C2432,651
(Dic3xC3xC6):12C2 = C6xC6.D6φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6):12C2432,654
(Dic3xC3xC6):13C2 = C2xDic3xC3:S3φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6):13C2432,677
(Dic3xC3xC6):14C2 = C2xC33:8(C2xC4)φ: C2/C1C2 ⊆ Out Dic3xC3xC672(Dic3xC3xC6):14C2432,679
(Dic3xC3xC6):15C2 = C32xD4:2S3φ: C2/C1C2 ⊆ Out Dic3xC3xC672(Dic3xC3xC6):15C2432,705
(Dic3xC3xC6):16C2 = C3xC6xC3:D4φ: C2/C1C2 ⊆ Out Dic3xC3xC672(Dic3xC3xC6):16C2432,709
(Dic3xC3xC6):17C2 = S3xC6xC12φ: trivial image144(Dic3xC3xC6):17C2432,701

Non-split extensions G=N.Q with N=Dic3xC3xC6 and Q=C2
extensionφ:Q→Out NdρLabelID
(Dic3xC3xC6).1C2 = C3xDic3:Dic3φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6).1C2432,428
(Dic3xC3xC6).2C2 = C3xC62.C22φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6).2C2432,429
(Dic3xC3xC6).3C2 = C62.81D6φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6).3C2432,453
(Dic3xC3xC6).4C2 = C62.82D6φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6).4C2432,454
(Dic3xC3xC6).5C2 = C32xDic3:C4φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6).5C2432,472
(Dic3xC3xC6).6C2 = C32xC4:Dic3φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6).6C2432,473
(Dic3xC3xC6).7C2 = C62.80D6φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6).7C2432,452
(Dic3xC3xC6).8C2 = C2xC33:4Q8φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6).8C2432,683
(Dic3xC3xC6).9C2 = C6xC32:2Q8φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6).9C2432,657
(Dic3xC3xC6).10C2 = C3xDic32φ: C2/C1C2 ⊆ Out Dic3xC3xC648(Dic3xC3xC6).10C2432,425
(Dic3xC3xC6).11C2 = Dic3xC3:Dic3φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6).11C2432,448
(Dic3xC3xC6).12C2 = C3xC6xDic6φ: C2/C1C2 ⊆ Out Dic3xC3xC6144(Dic3xC3xC6).12C2432,700
(Dic3xC3xC6).13C2 = Dic3xC3xC12φ: trivial image144(Dic3xC3xC6).13C2432,471

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