Extensions 1→N→G→Q→1 with N=C426C4 and Q=C2

Direct product G=N×Q with N=C426C4 and Q=C2
dρLabelID
C2×C426C432C2xC4^2:6C4128,464

Semidirect products G=N:Q with N=C426C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C426C41C2 = C24.21D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:1C2128,588
C426C42C2 = C8.C22⋊C4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:2C2128,614
C426C43C2 = C8⋊C22⋊C4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:3C2128,615
C426C44C2 = C42.426D4φ: C2/C1C2 ⊆ Out C426C4164C4^2:6C4:4C2128,638
C426C45C2 = C42.427D4φ: C2/C1C2 ⊆ Out C426C4164C4^2:6C4:5C2128,664
C426C46C2 = C429D4φ: C2/C1C2 ⊆ Out C426C416C4^2:6C4:6C2128,734
C426C47C2 = C42.129D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:7C2128,735
C426C48C2 = C4210D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:8C2128,736
C426C49C2 = C42.130D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:9C2128,737
C426C410C2 = C24.63D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:10C2128,465
C426C411C2 = D4.C42φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:11C2128,491
C426C412C2 = D4.3C42φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:12C2128,497
C426C413C2 = C42.102D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:13C2128,538
C426C414C2 = C24.70D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:14C2128,558
C426C415C2 = (C2×C42)⋊C4φ: C2/C1C2 ⊆ Out C426C4164C4^2:6C4:15C2128,559
C426C416C2 = C4≀C2⋊C4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:16C2128,591
C426C417C2 = C429(C2×C4)φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:17C2128,592
C426C418C2 = M4(2).41D4φ: C2/C1C2 ⊆ Out C426C4164C4^2:6C4:18C2128,593
C426C419C2 = M4(2).42D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:19C2128,598
C426C420C2 = C24.72D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:20C2128,603
C426C421C2 = M4(2)⋊19D4φ: C2/C1C2 ⊆ Out C426C4164C4^2:6C4:21C2128,616
C426C422C2 = C24.23D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:22C2128,617
C426C423C2 = C24.24D4φ: C2/C1C2 ⊆ Out C426C416C4^2:6C4:23C2128,619
C426C424C2 = C4.4D413C4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:24C2128,620
C426C425C2 = (C2×C4)≀C2φ: C2/C1C2 ⊆ Out C426C416C4^2:6C4:25C2128,628
C426C426C2 = C427D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:26C2128,629
C426C427C2 = M4(2).24D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:27C2128,661
C426C428C2 = C42.428D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:28C2128,669
C426C429C2 = C42.107D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:29C2128,670
C426C430C2 = (C2×D4)⋊2Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:30C2128,759
C426C431C2 = C42.8D4φ: C2/C1C2 ⊆ Out C426C4164C4^2:6C4:31C2128,763
C426C432C2 = M4(2)⋊6D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:32C2128,769
C426C433C2 = M4(2).7D4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4:33C2128,770
C426C434C2 = C4×C4≀C2φ: trivial image32C4^2:6C4:34C2128,490
C426C435C2 = Q8.C42φ: trivial image32C4^2:6C4:35C2128,496

Non-split extensions G=N.Q with N=C426C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C426C4.1C2 = C4.10D42C4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.1C2128,589
C426C4.2C2 = M4(2)⋊Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.2C2128,792
C426C4.3C2 = C423Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.3C2128,793
C426C4.4C2 = C8.5C42φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.4C2128,505
C426C4.5C2 = C8⋊C417C4φ: C2/C1C2 ⊆ Out C426C4164C4^2:6C4.5C2128,573
C426C4.6C2 = C4⋊Q815C4φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.6C2128,618
C426C4.7C2 = M4(2).3Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.7C2128,654
C426C4.8C2 = C42.62Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.8C2128,677
C426C4.9C2 = C42.28Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.9C2128,678
C426C4.10C2 = M4(2)⋊7Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.10C2128,718
C426C4.11C2 = C4216Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.11C2128,726
C426C4.12C2 = C42⋊Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.12C2128,727
C426C4.13C2 = (C2×Q8)⋊2Q8φ: C2/C1C2 ⊆ Out C426C432C4^2:6C4.13C2128,760
C426C4.14C2 = C42.32Q8φ: C2/C1C2 ⊆ Out C426C4164C4^2:6C4.14C2128,834
C426C4.15C2 = C8.14C42φ: trivial image32C4^2:6C4.15C2128,504

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