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Extensions 1→N→G→Q→1 with N=C6×Q16 and Q=C2

Direct product G=N×Q with N=C6×Q16 and Q=C2
dρLabelID
C2×C6×Q16192C2xC6xQ16192,1460

Semidirect products G=N:Q with N=C6×Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×Q16)⋊1C2 = C24.27C23φ: C2/C1 → C2 ⊆ Out C6×Q16964(C6xQ16):1C2192,738
(C6×Q16)⋊2C2 = C24.29D4φ: C2/C1 → C2 ⊆ Out C6×Q16964(C6xQ16):2C2192,751
(C6×Q16)⋊3C2 = D12.30D4φ: C2/C1 → C2 ⊆ Out C6×Q16964(C6xQ16):3C2192,1325
(C6×Q16)⋊4C2 = C2×C8.6D6φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):4C2192,737
(C6×Q16)⋊5C2 = D6⋊3Q16φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):5C2192,747
(C6×Q16)⋊6C2 = C24.28D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):6C2192,750
(C6×Q16)⋊7C2 = C2×S3×Q16φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):7C2192,1322
(C6×Q16)⋊8C2 = C2×D24⋊C2φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):8C2192,1324
(C6×Q16)⋊9C2 = C24.36D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):9C2192,748
(C6×Q16)⋊10C2 = C24.37D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):10C2192,749
(C6×Q16)⋊11C2 = C2×Q16⋊S3φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):11C2192,1323
(C6×Q16)⋊12C2 = (C2×Q16)⋊S3φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):12C2192,744
(C6×Q16)⋊13C2 = D6⋊5Q16φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):13C2192,745
(C6×Q16)⋊14C2 = D12.17D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):14C2192,746
(C6×Q16)⋊15C2 = C3×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):15C2192,884
(C6×Q16)⋊16C2 = C3×D4.7D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):16C2192,885
(C6×Q16)⋊17C2 = C3×Q8.D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):17C2192,897
(C6×Q16)⋊18C2 = C3×C8.18D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):18C2192,900
(C6×Q16)⋊19C2 = C3×C8.12D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):19C2192,928
(C6×Q16)⋊20C2 = C6×SD32φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):20C2192,939
(C6×Q16)⋊21C2 = C3×C8.D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):21C2192,903
(C6×Q16)⋊22C2 = C3×D4.5D4φ: C2/C1 → C2 ⊆ Out C6×Q16964(C6xQ16):22C2192,906
(C6×Q16)⋊23C2 = C3×C8.2D4φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):23C2192,930
(C6×Q16)⋊24C2 = C3×Q32⋊C2φ: C2/C1 → C2 ⊆ Out C6×Q16964(C6xQ16):24C2192,943
(C6×Q16)⋊25C2 = C6×C8.C22φ: C2/C1 → C2 ⊆ Out C6×Q1696(C6xQ16):25C2192,1463
(C6×Q16)⋊26C2 = C3×Q8○D8φ: C2/C1 → C2 ⊆ Out C6×Q16964(C6xQ16):26C2192,1467
(C6×Q16)⋊27C2 = C6×C4○D8φ: trivial image96(C6xQ16):27C2192,1461

Non-split extensions G=N.Q with N=C6×Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×Q16).1C2 = Q16.Dic3φ: C2/C1 → C2 ⊆ Out C6×Q16964(C6xQ16).1C2192,124
(C6×Q16).2C2 = C6.5Q32φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).2C2192,123
(C6×Q16).3C2 = C2×C3⋊Q32φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).3C2192,739
(C6×Q16).4C2 = Dic3×Q16φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).4C2192,740
(C6×Q16).5C2 = C24.26D4φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).5C2192,742
(C6×Q16).6C2 = Q16⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).6C2192,743
(C6×Q16).7C2 = C3×C2.Q32φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).7C2192,164
(C6×Q16).8C2 = Dic3⋊3Q16φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).8C2192,741
(C6×Q16).9C2 = C3×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).9C2192,895
(C6×Q16).10C2 = C3×C4⋊Q16φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).10C2192,927
(C6×Q16).11C2 = C6×Q32φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).11C2192,940
(C6×Q16).12C2 = C3×C8.17D4φ: C2/C1 → C2 ⊆ Out C6×Q16964(C6xQ16).12C2192,168
(C6×Q16).13C2 = C3×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C6×Q16192(C6xQ16).13C2192,874
(C6×Q16).14C2 = C12×Q16φ: trivial image192(C6xQ16).14C2192,872

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