Extensions 1→N→G→Q→1 with N=C2×Q16 and Q=C14

Direct product G=N×Q with N=C2×Q16 and Q=C14
dρLabelID
Q16×C2×C14448Q16xC2xC14448,1354

Semidirect products G=N:Q with N=C2×Q16 and Q=C14
extensionφ:Q→Out NdρLabelID
(C2×Q16)⋊1C14 = C7×C22⋊Q16φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):1C14448,859
(C2×Q16)⋊2C14 = C7×D4.7D4φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):2C14448,860
(C2×Q16)⋊3C14 = C7×Q8.D4φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):3C14448,872
(C2×Q16)⋊4C14 = C7×C8.18D4φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):4C14448,875
(C2×Q16)⋊5C14 = C7×C8.12D4φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):5C14448,903
(C2×Q16)⋊6C14 = C14×SD32φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):6C14448,914
(C2×Q16)⋊7C14 = C7×C8.D4φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):7C14448,878
(C2×Q16)⋊8C14 = C7×D4.5D4φ: C14/C7C2 ⊆ Out C2×Q162244(C2xQ16):8C14448,881
(C2×Q16)⋊9C14 = C7×C8.2D4φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):9C14448,905
(C2×Q16)⋊10C14 = C7×Q32⋊C2φ: C14/C7C2 ⊆ Out C2×Q162244(C2xQ16):10C14448,918
(C2×Q16)⋊11C14 = C14×C8.C22φ: C14/C7C2 ⊆ Out C2×Q16224(C2xQ16):11C14448,1357
(C2×Q16)⋊12C14 = C7×Q8○D8φ: C14/C7C2 ⊆ Out C2×Q162244(C2xQ16):12C14448,1361
(C2×Q16)⋊13C14 = C14×C4○D8φ: trivial image224(C2xQ16):13C14448,1355

Non-split extensions G=N.Q with N=C2×Q16 and Q=C14
extensionφ:Q→Out NdρLabelID
(C2×Q16).1C14 = C7×C2.Q32φ: C14/C7C2 ⊆ Out C2×Q16448(C2xQ16).1C14448,162
(C2×Q16).2C14 = C7×C42Q16φ: C14/C7C2 ⊆ Out C2×Q16448(C2xQ16).2C14448,870
(C2×Q16).3C14 = C7×C4⋊Q16φ: C14/C7C2 ⊆ Out C2×Q16448(C2xQ16).3C14448,902
(C2×Q16).4C14 = C14×Q32φ: C14/C7C2 ⊆ Out C2×Q16448(C2xQ16).4C14448,915
(C2×Q16).5C14 = C7×C8.17D4φ: C14/C7C2 ⊆ Out C2×Q162244(C2xQ16).5C14448,166
(C2×Q16).6C14 = C7×Q16⋊C4φ: C14/C7C2 ⊆ Out C2×Q16448(C2xQ16).6C14448,849
(C2×Q16).7C14 = Q16×C28φ: trivial image448(C2xQ16).7C14448,847

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