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Extensions 1→N→G→Q→1 with N=C22.M4(2) and Q=C2

Direct product G=N×Q with N=C22.M4(2) and Q=C2
dρLabelID
C2×C22.M4(2)64C2xC2^2.M4(2)128,189

Semidirect products G=N:Q with N=C22.M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
C22.M4(2)⋊1C2 = (C2×D4)⋊C8φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):1C2128,50
C22.M4(2)⋊2C2 = C2.C2≀C4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):2C2128,77
C22.M4(2)⋊3C2 = (C2×C4)⋊D8φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):3C2128,330
C22.M4(2)⋊4C2 = (C2×C4).5D8φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):4C2128,342
C22.M4(2)⋊5C2 = C4⋊C4.D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):5C2128,329
C22.M4(2)⋊6C2 = C4⋊C4.6D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):6C2128,335
C22.M4(2)⋊7C2 = C4⋊C4.12D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):7C2128,341
C22.M4(2)⋊8C2 = C4⋊C4.18D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):8C2128,347
C22.M4(2)⋊9C2 = (C2×C4)⋊SD16φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):9C2128,331
C22.M4(2)⋊10C2 = Q8⋊D4⋊C2φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):10C2128,336
C22.M4(2)⋊11C2 = C4⋊C4.19D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):11C2128,348
C22.M4(2)⋊12C2 = (C2×C4)⋊M4(2)φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):12C2128,195
C22.M4(2)⋊13C2 = C42.42D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):13C2128,196
C22.M4(2)⋊14C2 = C23⋊M4(2)φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):14C2128,197
C22.M4(2)⋊15C2 = C23⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):15C2128,200
C22.M4(2)⋊16C2 = C24.45(C2×C4)φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):16C2128,204
C22.M4(2)⋊17C2 = C42.372D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2):17C2128,205
C22.M4(2)⋊18C2 = C42.371D4φ: trivial image32C2^2.M4(2):18C2128,190
C22.M4(2)⋊19C2 = C23.8M4(2)φ: trivial image32C2^2.M4(2):19C2128,191

Non-split extensions G=N.Q with N=C22.M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
C22.M4(2).1C2 = (C2×C42).C4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).1C2128,51
C22.M4(2).2C2 = C42⋊C8φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).2C2128,56
C22.M4(2).3C2 = C42⋊3C8φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).3C2128,57
C22.M4(2).4C2 = (C2×C4).D8φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).4C2128,78
C22.M4(2).5C2 = (C2×C4).Q16φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).5C2128,85
C22.M4(2).6C2 = C2.7C2≀C4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).6C2128,86
C22.M4(2).7C2 = (C2×C4)⋊Q16φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).7C2128,337
C22.M4(2).8C2 = C4⋊C4.20D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).8C2128,349
C22.M4(2).9C2 = (C2×C4).SD16φ: C2/C1 → C2 ⊆ Out C22.M4(2)32C2^2.M4(2).9C2128,343
C22.M4(2).10C2 = C42.44D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)64C2^2.M4(2).10C2128,199
C22.M4(2).11C2 = C42.396D4φ: C2/C1 → C2 ⊆ Out C22.M4(2)64C2^2.M4(2).11C2128,202
C22.M4(2).12C2 = C42.394D4φ: trivial image64C2^2.M4(2).12C2128,193

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