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Extensions 1→N→G→Q→1 with N=C42:6C4 and Q=C2

Direct product G=NxQ with N=C42:6C4 and Q=C2
dρLabelID
C2xC42:6C432C2xC4^2:6C4128,464

Semidirect products G=N:Q with N=C42:6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42:6C4:1C2 = C24.21D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:1C2128,588
C42:6C4:2C2 = C8.C22:C4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:2C2128,614
C42:6C4:3C2 = C8:C22:C4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:3C2128,615
C42:6C4:4C2 = C42.426D4φ: C2/C1 → C2 ⊆ Out C42:6C4164C4^2:6C4:4C2128,638
C42:6C4:5C2 = C42.427D4φ: C2/C1 → C2 ⊆ Out C42:6C4164C4^2:6C4:5C2128,664
C42:6C4:6C2 = C42:9D4φ: C2/C1 → C2 ⊆ Out C42:6C416C4^2:6C4:6C2128,734
C42:6C4:7C2 = C42.129D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:7C2128,735
C42:6C4:8C2 = C42:10D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:8C2128,736
C42:6C4:9C2 = C42.130D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:9C2128,737
C42:6C4:10C2 = C24.63D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:10C2128,465
C42:6C4:11C2 = D4.C42φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:11C2128,491
C42:6C4:12C2 = D4.3C42φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:12C2128,497
C42:6C4:13C2 = C42.102D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:13C2128,538
C42:6C4:14C2 = C24.70D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:14C2128,558
C42:6C4:15C2 = (C2xC42):C4φ: C2/C1 → C2 ⊆ Out C42:6C4164C4^2:6C4:15C2128,559
C42:6C4:16C2 = C4wrC2:C4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:16C2128,591
C42:6C4:17C2 = C42:9(C2xC4)φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:17C2128,592
C42:6C4:18C2 = M4(2).41D4φ: C2/C1 → C2 ⊆ Out C42:6C4164C4^2:6C4:18C2128,593
C42:6C4:19C2 = M4(2).42D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:19C2128,598
C42:6C4:20C2 = C24.72D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:20C2128,603
C42:6C4:21C2 = M4(2):19D4φ: C2/C1 → C2 ⊆ Out C42:6C4164C4^2:6C4:21C2128,616
C42:6C4:22C2 = C24.23D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:22C2128,617
C42:6C4:23C2 = C24.24D4φ: C2/C1 → C2 ⊆ Out C42:6C416C4^2:6C4:23C2128,619
C42:6C4:24C2 = C4.4D4:13C4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:24C2128,620
C42:6C4:25C2 = (C2xC4)wrC2φ: C2/C1 → C2 ⊆ Out C42:6C416C4^2:6C4:25C2128,628
C42:6C4:26C2 = C42:7D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:26C2128,629
C42:6C4:27C2 = M4(2).24D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:27C2128,661
C42:6C4:28C2 = C42.428D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:28C2128,669
C42:6C4:29C2 = C42.107D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:29C2128,670
C42:6C4:30C2 = (C2xD4):2Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:30C2128,759
C42:6C4:31C2 = C42.8D4φ: C2/C1 → C2 ⊆ Out C42:6C4164C4^2:6C4:31C2128,763
C42:6C4:32C2 = M4(2):6D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:32C2128,769
C42:6C4:33C2 = M4(2).7D4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4:33C2128,770
C42:6C4:34C2 = C4xC4wrC2φ: trivial image32C4^2:6C4:34C2128,490
C42:6C4:35C2 = Q8.C42φ: trivial image32C4^2:6C4:35C2128,496

Non-split extensions G=N.Q with N=C42:6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42:6C4.1C2 = C4.10D4:2C4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.1C2128,589
C42:6C4.2C2 = M4(2):Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.2C2128,792
C42:6C4.3C2 = C42:3Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.3C2128,793
C42:6C4.4C2 = C8.5C42φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.4C2128,505
C42:6C4.5C2 = C8:C4:17C4φ: C2/C1 → C2 ⊆ Out C42:6C4164C4^2:6C4.5C2128,573
C42:6C4.6C2 = C4:Q8:15C4φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.6C2128,618
C42:6C4.7C2 = M4(2).3Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.7C2128,654
C42:6C4.8C2 = C42.62Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.8C2128,677
C42:6C4.9C2 = C42.28Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.9C2128,678
C42:6C4.10C2 = M4(2):7Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.10C2128,718
C42:6C4.11C2 = C42:16Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.11C2128,726
C42:6C4.12C2 = C42:Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.12C2128,727
C42:6C4.13C2 = (C2xQ8):2Q8φ: C2/C1 → C2 ⊆ Out C42:6C432C4^2:6C4.13C2128,760
C42:6C4.14C2 = C42.32Q8φ: C2/C1 → C2 ⊆ Out C42:6C4164C4^2:6C4.14C2128,834
C42:6C4.15C2 = C8.14C42φ: trivial image32C4^2:6C4.15C2128,504

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