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Extensions 1→N→G→Q→1 with N=C4.C42 and Q=C2

Direct product G=N×Q with N=C4.C42 and Q=C2
dρLabelID
C2×C4.C4264C2xC4.C4^2128,469

Semidirect products G=N:Q with N=C4.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.C42⋊1C2 = C24.10Q8φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:1C2128,587
C4.C42⋊2C2 = M4(2).40D4φ: C2/C1 → C2 ⊆ Out C4.C42324C4.C4^2:2C2128,590
C4.C42⋊3C2 = M4(2).43D4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:3C2128,608
C4.C42⋊4C2 = M4(2).44D4φ: C2/C1 → C2 ⊆ Out C4.C42324C4.C4^2:4C2128,613
C4.C42⋊5C2 = M4(2).48D4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:5C2128,639
C4.C42⋊6C2 = M4(2).49D4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2:6C2128,640
C4.C42⋊7C2 = C4.D4⋊3C4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:7C2128,663
C4.C42⋊8C2 = M4(2).4D4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:8C2128,750
C4.C42⋊9C2 = M4(2).5D4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:9C2128,751
C4.C42⋊10C2 = M4(2).6D4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2:10C2128,752
C4.C42⋊11C2 = C23.12SD16φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2:11C2128,81
C4.C42⋊12C2 = C4⋊C4.96D4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:12C2128,777
C4.C42⋊13C2 = (C2×C8).55D4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2:13C2128,810
C4.C42⋊14C2 = C4⋊C4.97D4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:14C2128,778
C4.C42⋊15C2 = (C2×C8).165D4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2:15C2128,811
C4.C42⋊16C2 = C24.7Q8φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:16C2128,470
C4.C42⋊17C2 = D4.3C42φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:17C2128,497
C4.C42⋊18C2 = C24.19Q8φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:18C2128,542
C4.C42⋊19C2 = C24.9Q8φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:19C2128,543
C4.C42⋊20C2 = C42.428D4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:20C2128,669
C4.C42⋊21C2 = C42.107D4φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2:21C2128,670
C4.C42⋊22C2 = C42.9D4φ: C2/C1 → C2 ⊆ Out C4.C42324C4.C4^2:22C2128,812
C4.C42⋊23C2 = Q8.C42φ: trivial image32C4.C4^2:23C2128,496

Non-split extensions G=N.Q with N=C4.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.C42.1C2 = M4(2).3Q8φ: C2/C1 → C2 ⊆ Out C4.C4232C4.C4^2.1C2128,654
C4.C42.2C2 = C4.10D4⋊3C4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.2C2128,662
C4.C42.3C2 = C42.430D4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.3C2128,682
C4.C42.4C2 = M4(2).Q8φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.4C2128,821
C4.C42.5C2 = M4(2).2Q8φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.5C2128,822
C4.C42.6C2 = C23.13SD16φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.6C2128,82
C4.C42.7C2 = C4⋊C4.98D4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.7C2128,779
C4.C42.8C2 = C8.6C42φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.8C2128,510
C4.C42.9C2 = C42.322D4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.9C2128,569
C4.C42.10C2 = C42.104D4φ: C2/C1 → C2 ⊆ Out C4.C4264C4.C4^2.10C2128,570
C4.C42.11C2 = C22⋊C4.Q8φ: C2/C1 → C2 ⊆ Out C4.C42324C4.C4^2.11C2128,835
C4.C42.12C2 = C4×C8.C4φ: trivial image64C4.C4^2.12C2128,509

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