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Extensions 1→N→G→Q→1 with N=C2×C22⋊C4 and Q=C6

Direct product G=N×Q with N=C2×C22⋊C4 and Q=C6
dρLabelID
C2×C6×C22⋊C496C2xC6xC2^2:C4192,1401

Semidirect products G=N:Q with N=C2×C22⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4)⋊1C6 = C3×C24⋊3C4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):1C6192,812
(C2×C22⋊C4)⋊2C6 = C3×C23.23D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):2C6192,819
(C2×C22⋊C4)⋊3C6 = C3×C24.3C22φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):3C6192,823
(C2×C22⋊C4)⋊4C6 = C6×C23⋊C4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):4C6192,842
(C2×C22⋊C4)⋊5C6 = C3×C22.11C24φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):5C6192,1407
(C2×C22⋊C4)⋊6C6 = C3×C23⋊2D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):6C6192,825
(C2×C22⋊C4)⋊7C6 = C3×C23.10D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):7C6192,827
(C2×C22⋊C4)⋊8C6 = C6×C22≀C2φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):8C6192,1410
(C2×C22⋊C4)⋊9C6 = C6×C4⋊D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):9C6192,1411
(C2×C22⋊C4)⋊10C6 = C6×C22.D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):10C6192,1413
(C2×C22⋊C4)⋊11C6 = C6×C4.4D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4):11C6192,1415
(C2×C22⋊C4)⋊12C6 = C3×C23⋊3D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):12C6192,1423
(C2×C22⋊C4)⋊13C6 = C3×C22.32C24φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):13C6192,1427
(C2×C22⋊C4)⋊14C6 = C3×D4⋊5D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):14C6192,1435
(C2×C22⋊C4)⋊15C6 = C3×C22.45C24φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4):15C6192,1440
(C2×C22⋊C4)⋊16C6 = D4×C2×C12φ: trivial image96(C2xC2^2:C4):16C6192,1404

Non-split extensions G=N.Q with N=C2×C22⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4).1C6 = C3×C23⋊C8φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4).1C6192,129
(C2×C22⋊C4).2C6 = C3×C23.9D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4).2C6192,148
(C2×C22⋊C4).3C6 = C3×C23.7Q8φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).3C6192,813
(C2×C22⋊C4).4C6 = C3×C23.34D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).4C6192,814
(C2×C22⋊C4).5C6 = C3×C23.8Q8φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).5C6192,818
(C2×C22⋊C4).6C6 = C3×C24.C22φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).6C6192,821
(C2×C22⋊C4).7C6 = C3×C23.11D4φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).7C6192,830
(C2×C22⋊C4).8C6 = C3×C23⋊Q8φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).8C6192,826
(C2×C22⋊C4).9C6 = C3×C23.Q8φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).9C6192,829
(C2×C22⋊C4).10C6 = C3×C23.4Q8φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).10C6192,832
(C2×C22⋊C4).11C6 = C6×C22⋊Q8φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).11C6192,1412
(C2×C22⋊C4).12C6 = C6×C42⋊2C2φ: C6/C3 → C2 ⊆ Out C2×C22⋊C496(C2xC2^2:C4).12C6192,1417
(C2×C22⋊C4).13C6 = C3×C23⋊2Q8φ: C6/C3 → C2 ⊆ Out C2×C22⋊C448(C2xC2^2:C4).13C6192,1432
(C2×C22⋊C4).14C6 = C12×C22⋊C4φ: trivial image96(C2xC2^2:C4).14C6192,810
(C2×C22⋊C4).15C6 = C6×C42⋊C2φ: trivial image96(C2xC2^2:C4).15C6192,1403

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