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Extensions 1→N→G→Q→1 with N=C4×C7⋊C8 and Q=C2

Direct product G=N×Q with N=C4×C7⋊C8 and Q=C2
dρLabelID
C2×C4×C7⋊C8448C2xC4xC7:C8448,454

Semidirect products G=N:Q with N=C4×C7⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C7⋊C8)⋊1C2 = D28⋊2C8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):1C2448,40
(C4×C7⋊C8)⋊2C2 = C28.57D8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):2C2448,91
(C4×C7⋊C8)⋊3C2 = C42.196D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C81124(C4xC7:C8):3C2448,358
(C4×C7⋊C8)⋊4C2 = D28⋊C8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):4C2448,368
(C4×C7⋊C8)⋊5C2 = C28⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):5C2448,372
(C4×C7⋊C8)⋊6C2 = D4×C7⋊C8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):6C2448,544
(C4×C7⋊C8)⋊7C2 = C28⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):7C2448,546
(C4×C7⋊C8)⋊8C2 = C4×D4⋊D7φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):8C2448,547
(C4×C7⋊C8)⋊9C2 = C4×D4.D7φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):9C2448,551
(C4×C7⋊C8)⋊10C2 = C4×Q8⋊D7φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):10C2448,559
(C4×C7⋊C8)⋊11C2 = C42.213D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):11C2448,590
(C4×C7⋊C8)⋊12C2 = C42.214D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):12C2448,593
(C4×C7⋊C8)⋊13C2 = C42.216D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):13C2448,602
(C4×C7⋊C8)⋊14C2 = C28.16D8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):14C2448,604
(C4×C7⋊C8)⋊15C2 = C28⋊D8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):15C2448,607
(C4×C7⋊C8)⋊16C2 = C28⋊4SD16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):16C2448,610
(C4×C7⋊C8)⋊17C2 = C28⋊6SD16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):17C2448,619
(C4×C7⋊C8)⋊18C2 = C28.D8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):18C2448,622
(C4×C7⋊C8)⋊19C2 = C42.282D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):19C2448,219
(C4×C7⋊C8)⋊20C2 = C4×C8⋊D7φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):20C2448,221
(C4×C7⋊C8)⋊21C2 = D14.4C42φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):21C2448,242
(C4×C7⋊C8)⋊22C2 = C42.185D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):22C2448,243
(C4×C7⋊C8)⋊23C2 = C4×C4.Dic7φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):23C2448,456
(C4×C7⋊C8)⋊24C2 = C42.6Dic7φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):24C2448,459
(C4×C7⋊C8)⋊25C2 = C28.5C42φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):25C2448,531
(C4×C7⋊C8)⋊26C2 = C42.187D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8224(C4xC7:C8):26C2448,534
(C4×C7⋊C8)⋊27C2 = D7×C4×C8φ: trivial image224(C4xC7:C8):27C2448,218

Non-split extensions G=N.Q with N=C4×C7⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C7⋊C8).1C2 = C28.53D8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).1C2448,36
(C4×C7⋊C8).2C2 = C28.39SD16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).2C2448,37
(C4×C7⋊C8).3C2 = Dic14⋊2C8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).3C2448,41
(C4×C7⋊C8).4C2 = C28.26Q16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).4C2448,92
(C4×C7⋊C8).5C2 = Dic14⋊C8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).5C2448,364
(C4×C7⋊C8).6C2 = C28.M4(2)φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).6C2448,365
(C4×C7⋊C8).7C2 = Q8×C7⋊C8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).7C2448,557
(C4×C7⋊C8).8C2 = C42.210D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).8C2448,558
(C4×C7⋊C8).9C2 = C4×C7⋊Q16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).9C2448,563
(C4×C7⋊C8).10C2 = C42.215D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).10C2448,598
(C4×C7⋊C8).11C2 = C28.17D8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).11C2448,612
(C4×C7⋊C8).12C2 = C28.SD16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).12C2448,613
(C4×C7⋊C8).13C2 = C28.Q16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).13C2448,615
(C4×C7⋊C8).14C2 = C28⋊3Q16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).14C2448,626
(C4×C7⋊C8).15C2 = C28.11Q16φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).15C2448,627
(C4×C7⋊C8).16C2 = C42.279D14φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).16C2448,11
(C4×C7⋊C8).17C2 = C56⋊C8φ: C2/C1 → C2 ⊆ Out C4×C7⋊C8448(C4xC7:C8).17C2448,12
(C4×C7⋊C8).18C2 = C8×C7⋊C8φ: trivial image448(C4xC7:C8).18C2448,10

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