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

Direct product G=NxQ with N=C42:C22 and Q=C2
dρLabelID
C2xC42: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/C1C2 ⊆ Out C42:C22168+C4^2:C2^2:1C2128,740
C42:C22:2C2 = M4(2).D4φ: C2/C1C2 ⊆ Out C42:C22328-C4^2:C2^2:2C2128,741
C42:C22:3C2 = M4(2).8D4φ: C2/C1C2 ⊆ Out C42:C22168+C4^2:C2^2:3C2128,780
C42:C22:4C2 = M4(2):C23φ: C2/C1C2 ⊆ Out C42:C22168+C4^2:C2^2:4C2128,1751
C42:C22:5C2 = M4(2).C23φ: C2/C1C2 ⊆ Out C42:C22328-C4^2:C2^2:5C2128,1752
C42:C22:6C2 = C42.12C23φ: C2/C1C2 ⊆ Out C42:C22168+C4^2:C2^2:6C2128,1753
C42:C22:7C2 = C42.13C23φ: C2/C1C2 ⊆ Out C42:C22328-C4^2:C2^2:7C2128,1754
C42:C22:8C2 = 2+ 1+4:4C4φ: C2/C1C2 ⊆ Out C42:C22324C4^2:C2^2:8C2128,526
C42:C22:9C2 = C4oD4.D4φ: C2/C1C2 ⊆ Out C42:C22168+C4^2:C2^2:9C2128,527
C42:C22:10C2 = (C22xQ8):C4φ: C2/C1C2 ⊆ Out C42:C22328-C4^2:C2^2:10C2128,528
C42:C22:11C2 = M4(2).44D4φ: C2/C1C2 ⊆ Out C42:C22324C4^2:C2^2:11C2128,613
C42:C22:12C2 = M4(2):19D4φ: C2/C1C2 ⊆ Out C42:C22164C4^2:C2^2:12C2128,616
C42:C22:13C2 = M4(2).47D4φ: C2/C1C2 ⊆ Out C42:C22168+C4^2:C2^2:13C2128,635
C42:C22:14C2 = C42.5D4φ: C2/C1C2 ⊆ Out C42:C22168+C4^2:C2^2:14C2128,636
C42:C22:15C2 = C42.426D4φ: C2/C1C2 ⊆ Out C42:C22164C4^2:C2^2:15C2128,638
C42:C22:16C2 = C42:D4φ: C2/C1C2 ⊆ Out C42:C22168+C4^2:C2^2:16C2128,643
C42:C22:17C2 = M4(2).30D4φ: C2/C1C2 ⊆ Out C42:C22324C4^2:C2^2:17C2128,708
C42:C22:18C2 = C42:2D4φ: C2/C1C2 ⊆ Out C42:C22164C4^2:C2^2:18C2128,742
C42:C22:19C2 = 2- 1+4:5C4φ: C2/C1C2 ⊆ Out C42:C22164C4^2:C2^2:19C2128,1633
C42:C22:20C2 = M4(2)oD8φ: C2/C1C2 ⊆ 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/C1C2 ⊆ Out C42:C22328-C4^2:C2^2.1C2128,781
C42:C22.2C2 = C8oD4:C4φ: C2/C1C2 ⊆ Out C42:C22324C4^2:C2^2.2C2128,546
C42:C22.3C2 = M4(2).41D4φ: C2/C1C2 ⊆ Out C42:C22164C4^2:C2^2.3C2128,593
C42:C22.4C2 = M4(2).46D4φ: C2/C1C2 ⊆ Out C42:C22328-C4^2:C2^2.4C2128,634
C42:C22.5C2 = C42.6D4φ: C2/C1C2 ⊆ Out C42:C22328-C4^2:C2^2.5C2128,637
C42:C22.6C2 = C42.7D4φ: C2/C1C2 ⊆ Out C42:C22328-C4^2:C2^2.6C2128,644
C42:C22.7C2 = C42.427D4φ: C2/C1C2 ⊆ Out C42:C22164C4^2:C2^2.7C2128,664
C42:C22.8C2 = C42.8D4φ: C2/C1C2 ⊆ Out C42:C22164C4^2:C2^2.8C2128,763
C42:C22.9C2 = C42.9D4φ: C2/C1C2 ⊆ Out C42:C22324C4^2:C2^2.9C2128,812
C42:C22.10C2 = C42.10D4φ: C2/C1C2 ⊆ Out C42:C22324C4^2:C2^2.10C2128,830

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