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Extensions 1→N→G→Q→1 with N=C42⋊C22 and Q=C2

Direct product G=N×Q with N=C42⋊C22 and Q=C2
dρLabelID
C2×C42⋊C2232C2xC4^2:C2^2128,1632

Semidirect products G=N:Q with N=C42⋊C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊C22⋊1C2 = M4(2)⋊5D4φ: C2/C1 → C2 ⊆ Out C42⋊C22168+C4^2:C2^2:1C2128,740
C42⋊C22⋊2C2 = M4(2).D4φ: C2/C1 → C2 ⊆ Out C42⋊C22328-C4^2:C2^2:2C2128,741
C42⋊C22⋊3C2 = M4(2).8D4φ: C2/C1 → C2 ⊆ Out C42⋊C22168+C4^2:C2^2:3C2128,780
C42⋊C22⋊4C2 = M4(2)⋊C23φ: C2/C1 → C2 ⊆ Out C42⋊C22168+C4^2:C2^2:4C2128,1751
C42⋊C22⋊5C2 = M4(2).C23φ: C2/C1 → C2 ⊆ Out C42⋊C22328-C4^2:C2^2:5C2128,1752
C42⋊C22⋊6C2 = C42.12C23φ: C2/C1 → C2 ⊆ Out C42⋊C22168+C4^2:C2^2:6C2128,1753
C42⋊C22⋊7C2 = C42.13C23φ: C2/C1 → C2 ⊆ Out C42⋊C22328-C4^2:C2^2:7C2128,1754
C42⋊C22⋊8C2 = 2+ 1+4⋊4C4φ: C2/C1 → C2 ⊆ Out C42⋊C22324C4^2:C2^2:8C2128,526
C42⋊C22⋊9C2 = C4○D4.D4φ: C2/C1 → C2 ⊆ Out C42⋊C22168+C4^2:C2^2:9C2128,527
C42⋊C22⋊10C2 = (C22×Q8)⋊C4φ: C2/C1 → C2 ⊆ Out C42⋊C22328-C4^2:C2^2:10C2128,528
C42⋊C22⋊11C2 = M4(2).44D4φ: C2/C1 → C2 ⊆ Out C42⋊C22324C4^2:C2^2:11C2128,613
C42⋊C22⋊12C2 = M4(2)⋊19D4φ: C2/C1 → C2 ⊆ Out C42⋊C22164C4^2:C2^2:12C2128,616
C42⋊C22⋊13C2 = M4(2).47D4φ: C2/C1 → C2 ⊆ Out C42⋊C22168+C4^2:C2^2:13C2128,635
C42⋊C22⋊14C2 = C42.5D4φ: C2/C1 → C2 ⊆ Out C42⋊C22168+C4^2:C2^2:14C2128,636
C42⋊C22⋊15C2 = C42.426D4φ: C2/C1 → C2 ⊆ Out C42⋊C22164C4^2:C2^2:15C2128,638
C42⋊C22⋊16C2 = C42⋊D4φ: C2/C1 → C2 ⊆ Out C42⋊C22168+C4^2:C2^2:16C2128,643
C42⋊C22⋊17C2 = M4(2).30D4φ: C2/C1 → C2 ⊆ Out C42⋊C22324C4^2:C2^2:17C2128,708
C42⋊C22⋊18C2 = C42⋊2D4φ: C2/C1 → C2 ⊆ Out C42⋊C22164C4^2:C2^2:18C2128,742
C42⋊C22⋊19C2 = 2- 1+4⋊5C4φ: C2/C1 → C2 ⊆ Out C42⋊C22164C4^2:C2^2:19C2128,1633
C42⋊C22⋊20C2 = M4(2)○D8φ: C2/C1 → C2 ⊆ Out C42⋊C22324C4^2:C2^2:20C2128,1689
C42⋊C22⋊21C2 = C42.283C23φ: trivial image324C4^2:C2^2:21C2128,1687

Non-split extensions G=N.Q with N=C42⋊C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊C22.1C2 = M4(2).9D4φ: C2/C1 → C2 ⊆ Out C42⋊C22328-C4^2:C2^2.1C2128,781
C42⋊C22.2C2 = C8○D4⋊C4φ: C2/C1 → C2 ⊆ Out C42⋊C22324C4^2:C2^2.2C2128,546
C42⋊C22.3C2 = M4(2).41D4φ: C2/C1 → C2 ⊆ Out C42⋊C22164C4^2:C2^2.3C2128,593
C42⋊C22.4C2 = M4(2).46D4φ: C2/C1 → C2 ⊆ Out C42⋊C22328-C4^2:C2^2.4C2128,634
C42⋊C22.5C2 = C42.6D4φ: C2/C1 → C2 ⊆ Out C42⋊C22328-C4^2:C2^2.5C2128,637
C42⋊C22.6C2 = C42.7D4φ: C2/C1 → C2 ⊆ Out C42⋊C22328-C4^2:C2^2.6C2128,644
C42⋊C22.7C2 = C42.427D4φ: C2/C1 → C2 ⊆ Out C42⋊C22164C4^2:C2^2.7C2128,664
C42⋊C22.8C2 = C42.8D4φ: C2/C1 → C2 ⊆ Out C42⋊C22164C4^2:C2^2.8C2128,763
C42⋊C22.9C2 = C42.9D4φ: C2/C1 → C2 ⊆ Out C42⋊C22324C4^2:C2^2.9C2128,812
C42⋊C22.10C2 = C42.10D4φ: C2/C1 → C2 ⊆ Out C42⋊C22324C4^2:C2^2.10C2128,830

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