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Extensions 1→N→G→Q→1 with N=C7×C2.D8 and Q=C2

Direct product G=N×Q with N=C7×C2.D8 and Q=C2
dρLabelID
C14×C2.D8448C14xC2.D8448,834

Semidirect products G=N:Q with N=C7×C2.D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C2.D8)⋊1C2 = C14.D16φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):1C2448,48
(C7×C2.D8)⋊2C2 = Dic7⋊5D8φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):2C2448,406
(C7×C2.D8)⋊3C2 = D7×C2.D8φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):3C2448,413
(C7×C2.D8)⋊4C2 = C8.27(C4×D7)φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):4C2448,414
(C7×C2.D8)⋊5C2 = C8⋊7D28φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):5C2448,417
(C7×C2.D8)⋊6C2 = D14⋊2Q16φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):6C2448,421
(C7×C2.D8)⋊7C2 = C56⋊(C2×C4)φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):7C2448,415
(C7×C2.D8)⋊8C2 = C8⋊3D28φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):8C2448,420
(C7×C2.D8)⋊9C2 = C56⋊C2⋊C4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):9C2448,423
(C7×C2.D8)⋊10C2 = C7×C2.D16φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):10C2448,161
(C7×C2.D8)⋊11C2 = D14.5D8φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):11C2448,416
(C7×C2.D8)⋊12C2 = D14.2Q16φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):12C2448,418
(C7×C2.D8)⋊13C2 = C2.D8⋊D7φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):13C2448,419
(C7×C2.D8)⋊14C2 = C2.D8⋊7D7φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):14C2448,422
(C7×C2.D8)⋊15C2 = D28⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):15C2448,424
(C7×C2.D8)⋊16C2 = D28.2Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):16C2448,425
(C7×C2.D8)⋊17C2 = C7×C8⋊7D4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):17C2448,874
(C7×C2.D8)⋊18C2 = C7×C8.18D4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):18C2448,875
(C7×C2.D8)⋊19C2 = C7×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):19C2448,882
(C7×C2.D8)⋊20C2 = C7×D4.Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):20C2448,886
(C7×C2.D8)⋊21C2 = C7×C22.D8φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):21C2448,888
(C7×C2.D8)⋊22C2 = C7×C23.19D4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):22C2448,890
(C7×C2.D8)⋊23C2 = C7×C23.48D4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):23C2448,892
(C7×C2.D8)⋊24C2 = C7×C23.20D4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):24C2448,893
(C7×C2.D8)⋊25C2 = C7×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):25C2448,836
(C7×C2.D8)⋊26C2 = C7×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):26C2448,848
(C7×C2.D8)⋊27C2 = C7×C8⋊D4φ: C2/C1 → C2 ⊆ Out C7×C2.D8224(C7xC2.D8):27C2448,876
(C7×C2.D8)⋊28C2 = C7×C23.25D4φ: trivial image224(C7xC2.D8):28C2448,835
(C7×C2.D8)⋊29C2 = D8×C28φ: trivial image224(C7xC2.D8):29C2448,845

Non-split extensions G=N.Q with N=C7×C2.D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C2.D8).1C2 = C8.4Dic14φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).1C2448,46
(C7×C2.D8).2C2 = C8.5Dic14φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).2C2448,47
(C7×C2.D8).3C2 = C56.6D4φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).3C2448,49
(C7×C2.D8).4C2 = Dic28⋊6C4φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).4C2448,407
(C7×C2.D8).5C2 = C56⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).5C2448,408
(C7×C2.D8).6C2 = C56.4Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).6C2448,412
(C7×C2.D8).7C2 = C56⋊4Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).7C2448,410
(C7×C2.D8).8C2 = C7×C2.Q32φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).8C2448,162
(C7×C2.D8).9C2 = C7×C16⋊3C4φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).9C2448,170
(C7×C2.D8).10C2 = C7×C16⋊4C4φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).10C2448,171
(C7×C2.D8).11C2 = Dic14⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).11C2448,409
(C7×C2.D8).12C2 = Dic14.2Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).12C2448,411
(C7×C2.D8).13C2 = C7×C4.Q16φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).13C2448,885
(C7×C2.D8).14C2 = C7×Q8.Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).14C2448,887
(C7×C2.D8).15C2 = C7×C8.5Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).15C2448,907
(C7×C2.D8).16C2 = C7×C8⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).16C2448,908
(C7×C2.D8).17C2 = C7×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C2.D8448(C7xC2.D8).17C2448,909
(C7×C2.D8).18C2 = Q16×C28φ: trivial image448(C7xC2.D8).18C2448,847

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