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Extensions 1→N→G→Q→1 with N=M4(2)⋊4C4 and Q=C2

Direct product G=N×Q with N=M4(2)⋊4C4 and Q=C2
dρLabelID
C2×M4(2)⋊4C432C2xM4(2):4C4128,475

Semidirect products G=N:Q with N=M4(2)⋊4C4 and Q=C2
extensionφ:Q→Out NdρLabelID
M4(2)⋊4C4⋊1C2 = M4(2).41D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4164M4(2):4C4:1C2128,593
M4(2)⋊4C4⋊2C2 = M4(2).44D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4324M4(2):4C4:2C2128,613
M4(2)⋊4C4⋊3C2 = M4(2).46D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4328-M4(2):4C4:3C2128,634
M4(2)⋊4C4⋊4C2 = M4(2).47D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4168+M4(2):4C4:4C2128,635
M4(2)⋊4C4⋊5C2 = C42.5D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4168+M4(2):4C4:5C2128,636
M4(2)⋊4C4⋊6C2 = C42.6D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4328-M4(2):4C4:6C2128,637
M4(2)⋊4C4⋊7C2 = C42.426D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4164M4(2):4C4:7C2128,638
M4(2)⋊4C4⋊8C2 = M4(2)⋊5D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4168+M4(2):4C4:8C2128,740
M4(2)⋊4C4⋊9C2 = M4(2).D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4328-M4(2):4C4:9C2128,741
M4(2)⋊4C4⋊10C2 = M4(2).8D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4168+M4(2):4C4:10C2128,780
M4(2)⋊4C4⋊11C2 = M4(2).9D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4328-M4(2):4C4:11C2128,781
M4(2)⋊4C4⋊12C2 = C8○D4⋊C4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4324M4(2):4C4:12C2128,546
M4(2)⋊4C4⋊13C2 = C24.6(C2×C4)φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4168+M4(2):4C4:13C2128,561
M4(2)⋊4C4⋊14C2 = (C2×D4).Q8φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4324M4(2):4C4:14C2128,600
M4(2)⋊4C4⋊15C2 = (C2×C8)⋊D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4164M4(2):4C4:15C2128,623
M4(2)⋊4C4⋊16C2 = M4(2)⋊21D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4168+M4(2):4C4:16C2128,646
M4(2)⋊4C4⋊17C2 = M4(2).50D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4328-M4(2):4C4:17C2128,647
M4(2)⋊4C4⋊18C2 = C42.427D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4164M4(2):4C4:18C2128,664
M4(2)⋊4C4⋊19C2 = C42.8D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4164M4(2):4C4:19C2128,763
M4(2)⋊4C4⋊20C2 = C42.9D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4324M4(2):4C4:20C2128,812
M4(2)⋊4C4⋊21C2 = (C2×C8).D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4168+M4(2):4C4:21C2128,813
M4(2)⋊4C4⋊22C2 = C23.5C42φ: trivial image324M4(2):4C4:22C2128,489

Non-split extensions G=N.Q with N=M4(2)⋊4C4 and Q=C2
extensionφ:Q→Out NdρLabelID
M4(2)⋊4C4.1C2 = M4(2).27D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4324M4(2):4C4.1C2128,685
M4(2)⋊4C4.2C2 = (C2×Q8).211D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4328-M4(2):4C4.2C2128,562
M4(2)⋊4C4.3C2 = C8.(C4⋊C4)φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4324M4(2):4C4.3C2128,565
M4(2)⋊4C4.4C2 = C8⋊C4⋊17C4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4164M4(2):4C4.4C2128,573
M4(2)⋊4C4.5C2 = (C2×C8).6D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4328-M4(2):4C4.5C2128,814
M4(2)⋊4C4.6C2 = C42.32Q8φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4164M4(2):4C4.6C2128,834
M4(2)⋊4C4.7C2 = C22⋊C4.Q8φ: C2/C1 → C2 ⊆ Out M4(2)⋊4C4324M4(2):4C4.7C2128,835

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