Extensions 1→N→G→Q→1 with N=C2×Dic7 and Q=Q8

Direct product G=N×Q with N=C2×Dic7 and Q=Q8
dρLabelID
C2×Q8×Dic7448C2xQ8xDic7448,1264

Semidirect products G=N:Q with N=C2×Dic7 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×Dic7)⋊1Q8 = (C2×Dic7)⋊Q8φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7):1Q8448,190
(C2×Dic7)⋊2Q8 = (C2×C4)⋊Dic14φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7):2Q8448,513
(C2×Dic7)⋊3Q8 = C14.C22≀C2φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7):3Q8448,763
(C2×Dic7)⋊4Q8 = C14.752- 1+4φ: Q8/C2C22 ⊆ Out C2×Dic7224(C2xDic7):4Q8448,1076
(C2×Dic7)⋊5Q8 = (C2×C28)⋊Q8φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7):5Q8448,180
(C2×Dic7)⋊6Q8 = (C2×Dic7)⋊6Q8φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7):6Q8448,508
(C2×Dic7)⋊7Q8 = (Q8×C14)⋊7C4φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7):7Q8448,764
(C2×Dic7)⋊8Q8 = C2×C28⋊Q8φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7):8Q8448,950
(C2×Dic7)⋊9Q8 = (Q8×Dic7)⋊C2φ: Q8/C4C2 ⊆ Out C2×Dic7224(C2xDic7):9Q8448,1075
(C2×Dic7)⋊10Q8 = C2×Dic7⋊Q8φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7):10Q8448,1263
(C2×Dic7)⋊11Q8 = C2×Dic73Q8φ: trivial image448(C2xDic7):11Q8448,949

Non-split extensions G=N.Q with N=C2×Dic7 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C2×Dic7).1Q8 = C2.(C28⋊Q8)φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7).1Q8448,191
(C2×Dic7).2Q8 = (C2×Dic7).Q8φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7).2Q8448,192
(C2×Dic7).3Q8 = (C2×C28).28D4φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7).3Q8448,193
(C2×Dic7).4Q8 = M4(2).25D14φ: Q8/C2C22 ⊆ Out C2×Dic71124(C2xDic7).4Q8448,427
(C2×Dic7).5Q8 = (C2×C28).287D4φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7).5Q8448,514
(C2×Dic7).6Q8 = (C2×C28).288D4φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7).6Q8448,516
(C2×Dic7).7Q8 = (C2×C4).44D28φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7).7Q8448,517
(C2×Dic7).8Q8 = (C2×C28).54D4φ: Q8/C2C22 ⊆ Out C2×Dic7448(C2xDic7).8Q8448,518
(C2×Dic7).9Q8 = C14.(C4×Q8)φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).9Q8448,181
(C2×Dic7).10Q8 = C7⋊(C428C4)φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).10Q8448,184
(C2×Dic7).11Q8 = Dic7⋊C4⋊C4φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).11Q8448,186
(C2×Dic7).12Q8 = C4⋊Dic77C4φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).12Q8448,187
(C2×Dic7).13Q8 = D7×C8.C4φ: Q8/C4C2 ⊆ Out C2×Dic71124(C2xDic7).13Q8448,426
(C2×Dic7).14Q8 = Dic7⋊(C4⋊C4)φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).14Q8448,506
(C2×Dic7).15Q8 = C28⋊(C4⋊C4)φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).15Q8448,507
(C2×Dic7).16Q8 = (C4×Dic7)⋊8C4φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).16Q8448,510
(C2×Dic7).17Q8 = C22.23(Q8×D7)φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).17Q8448,512
(C2×Dic7).18Q8 = C4⋊C45Dic7φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).18Q8448,515
(C2×Dic7).19Q8 = C4⋊(C4⋊Dic7)φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).19Q8448,519
(C2×Dic7).20Q8 = C2×Dic7.Q8φ: Q8/C4C2 ⊆ Out C2×Dic7448(C2xDic7).20Q8448,951
(C2×Dic7).21Q8 = Dic7⋊C42φ: trivial image448(C2xDic7).21Q8448,183
(C2×Dic7).22Q8 = C4⋊C4×Dic7φ: trivial image448(C2xDic7).22Q8448,509

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