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

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

Semidirect products G=N:Q with N=C2×C14 and Q=Q16
extensionφ:Q→Aut NdρLabelID
(C2×C14)⋊1Q16 = C22⋊Dic28φ: Q16/C4 → C22 ⊆ Aut C2×C14224(C2xC14):1Q16448,273
(C2×C14)⋊2Q16 = Dic14.37D4φ: Q16/C4 → C22 ⊆ Aut C2×C14224(C2xC14):2Q16448,584
(C2×C14)⋊3Q16 = C7⋊C8.29D4φ: Q16/C4 → C22 ⊆ Aut C2×C14224(C2xC14):3Q16448,585
(C2×C14)⋊4Q16 = C7×C8.18D4φ: Q16/C8 → C2 ⊆ Aut C2×C14224(C2xC14):4Q16448,875
(C2×C14)⋊5Q16 = C56.82D4φ: Q16/C8 → C2 ⊆ Aut C2×C14224(C2xC14):5Q16448,650
(C2×C14)⋊6Q16 = C22×Dic28φ: Q16/C8 → C2 ⊆ Aut C2×C14448(C2xC14):6Q16448,1195
(C2×C14)⋊7Q16 = C7×C22⋊Q16φ: Q16/Q8 → C2 ⊆ Aut C2×C14224(C2xC14):7Q16448,859
(C2×C14)⋊8Q16 = (C2×C14)⋊8Q16φ: Q16/Q8 → C2 ⊆ Aut C2×C14224(C2xC14):8Q16448,762
(C2×C14)⋊9Q16 = C22×C7⋊Q16φ: Q16/Q8 → C2 ⊆ Aut C2×C14448(C2xC14):9Q16448,1262

Non-split extensions G=N.Q with N=C2×C14 and Q=Q16
extensionφ:Q→Aut NdρLabelID
(C2×C14).1Q16 = C23.30D28φ: Q16/C4 → C22 ⊆ Aut C2×C14112(C2xC14).1Q16448,24
(C2×C14).2Q16 = C8.7Dic14φ: Q16/C4 → C22 ⊆ Aut C2×C142244(C2xC14).2Q16448,50
(C2×C14).3Q16 = C4⋊C4⋊Dic7φ: Q16/C4 → C22 ⊆ Aut C2×C14112(C2xC14).3Q16448,95
(C2×C14).4Q16 = C23.35D28φ: Q16/C4 → C22 ⊆ Aut C2×C14224(C2xC14).4Q16448,256
(C2×C14).5Q16 = (C2×C14).Q16φ: Q16/C4 → C22 ⊆ Aut C2×C14224(C2xC14).5Q16448,578
(C2×C14).6Q16 = C7×C8.4Q8φ: Q16/C8 → C2 ⊆ Aut C2×C142242(C2xC14).6Q16448,172
(C2×C14).7Q16 = C112.C4φ: Q16/C8 → C2 ⊆ Aut C2×C142242(C2xC14).7Q16448,63
(C2×C14).8Q16 = C28.9C42φ: Q16/C8 → C2 ⊆ Aut C2×C14448(C2xC14).8Q16448,108
(C2×C14).9Q16 = C2×C28.44D4φ: Q16/C8 → C2 ⊆ Aut C2×C14448(C2xC14).9Q16448,637
(C2×C14).10Q16 = C2×C56⋊1C4φ: Q16/C8 → C2 ⊆ Aut C2×C14448(C2xC14).10Q16448,639
(C2×C14).11Q16 = C7×C23.31D4φ: Q16/Q8 → C2 ⊆ Aut C2×C14112(C2xC14).11Q16448,132
(C2×C14).12Q16 = C7×C23.48D4φ: Q16/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).12Q16448,892
(C2×C14).13Q16 = C4⋊Dic7⋊C4φ: Q16/Q8 → C2 ⊆ Aut C2×C14112(C2xC14).13Q16448,9
(C2×C14).14Q16 = C28.C42φ: Q16/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).14Q16448,86
(C2×C14).15Q16 = C2×C28.Q8φ: Q16/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).15Q16448,496
(C2×C14).16Q16 = C2×C14.Q16φ: Q16/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).16Q16448,503
(C2×C14).17Q16 = C4⋊C4.230D14φ: Q16/Q8 → C2 ⊆ Aut C2×C14224(C2xC14).17Q16448,504
(C2×C14).18Q16 = C2×Q8⋊Dic7φ: Q16/Q8 → C2 ⊆ Aut C2×C14448(C2xC14).18Q16448,758
(C2×C14).19Q16 = C7×C22.4Q16central extension (φ=1)448(C2xC14).19Q16448,144
(C2×C14).20Q16 = C14×Q8⋊C4central extension (φ=1)448(C2xC14).20Q16448,823
(C2×C14).21Q16 = C14×C2.D8central extension (φ=1)448(C2xC14).21Q16448,834

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