# Extensions 1→N→G→Q→1 with N=C2×C33⋊C2 and Q=C22

Direct product G=N×Q with N=C2×C33⋊C2 and Q=C22
dρLabelID
C23×C33⋊C2216C2^3xC3^3:C2432,774

Semidirect products G=N:Q with N=C2×C33⋊C2 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C33⋊C2)⋊1C22 = S3×C3⋊D12φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2):1C2^2432,598
(C2×C33⋊C2)⋊2C22 = D64S32φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2):2C2^2432,599
(C2×C33⋊C2)⋊3C22 = C3⋊S34D12φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2):3C2^2432,602
(C2×C33⋊C2)⋊4C22 = S3×C12⋊S3φ: C22/C1C22 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):4C2^2432,671
(C2×C33⋊C2)⋊5C22 = C3⋊S3×D12φ: C22/C1C22 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):5C2^2432,672
(C2×C33⋊C2)⋊6C22 = S3×C327D4φ: C22/C1C22 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):6C2^2432,684
(C2×C33⋊C2)⋊7C22 = C3⋊S3×C3⋊D4φ: C22/C1C22 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):7C2^2432,685
(C2×C33⋊C2)⋊8C22 = C2×S33φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2):8C2^2432,759
(C2×C33⋊C2)⋊9C22 = C2×C337D4φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):9C2^2432,681
(C2×C33⋊C2)⋊10C22 = C2×C338D4φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):10C2^2432,682
(C2×C33⋊C2)⋊11C22 = C6223D6φ: C22/C2C2 ⊆ Out C2×C33⋊C236(C2xC3^3:C2):11C2^2432,686
(C2×C33⋊C2)⋊12C22 = C2×C3312D4φ: C22/C2C2 ⊆ Out C2×C33⋊C2216(C2xC3^3:C2):12C2^2432,722
(C2×C33⋊C2)⋊13C22 = D4×C33⋊C2φ: C22/C2C2 ⊆ Out C2×C33⋊C2108(C2xC3^3:C2):13C2^2432,724
(C2×C33⋊C2)⋊14C22 = C2×C3315D4φ: C22/C2C2 ⊆ Out C2×C33⋊C2216(C2xC3^3:C2):14C2^2432,729
(C2×C33⋊C2)⋊15C22 = C22×S3×C3⋊S3φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):15C2^2432,768

Non-split extensions G=N.Q with N=C2×C33⋊C2 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C33⋊C2).1C22 = S3×C6.D6φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2).1C2^2432,595
(C2×C33⋊C2).2C22 = (S3×C6)⋊D6φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2).2C2^2432,601
(C2×C33⋊C2).3C22 = C336(C2×Q8)φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2).3C2^2432,605
(C2×C33⋊C2).4C22 = (S3×C6).D6φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2).4C2^2432,606
(C2×C33⋊C2).5C22 = D6.3S32φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2).5C2^2432,609
(C2×C33⋊C2).6C22 = Dic3.S32φ: C22/C1C22 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2).6C2^2432,612
(C2×C33⋊C2).7C22 = C12.40S32φ: C22/C1C22 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).7C2^2432,665
(C2×C33⋊C2).8C22 = C12.58S32φ: C22/C1C22 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).8C2^2432,669
(C2×C33⋊C2).9C22 = C62.90D6φ: C22/C1C22 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).9C2^2432,675
(C2×C33⋊C2).10C22 = C62.93D6φ: C22/C1C22 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).10C2^2432,678
(C2×C33⋊C2).11C22 = D12⋊(C3⋊S3)φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).11C2^2432,662
(C2×C33⋊C2).12C22 = C12.39S32φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).12C2^2432,664
(C2×C33⋊C2).13C22 = C329(S3×Q8)φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).13C2^2432,666
(C2×C33⋊C2).14C22 = C12.73S32φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).14C2^2432,667
(C2×C33⋊C2).15C22 = C4×S3×C3⋊S3φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).15C2^2432,670
(C2×C33⋊C2).16C22 = C12⋊S32φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).16C2^2432,673
(C2×C33⋊C2).17C22 = C2×C338(C2×C4)φ: C22/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).17C2^2432,679
(C2×C33⋊C2).18C22 = C62.160D6φ: C22/C2C2 ⊆ Out C2×C33⋊C2216(C2xC3^3:C2).18C2^2432,723
(C2×C33⋊C2).19C22 = C62.100D6φ: C22/C2C2 ⊆ Out C2×C33⋊C2216(C2xC3^3:C2).19C2^2432,725
(C2×C33⋊C2).20C22 = (Q8×C33)⋊C2φ: C22/C2C2 ⊆ Out C2×C33⋊C2216(C2xC3^3:C2).20C2^2432,727
(C2×C33⋊C2).21C22 = C2×C4×C33⋊C2φ: trivial image216(C2xC3^3:C2).21C2^2432,721
(C2×C33⋊C2).22C22 = Q8×C33⋊C2φ: trivial image216(C2xC3^3:C2).22C2^2432,726

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