# Extensions 1→N→G→Q→1 with N=D7×C42 and Q=C2

Direct product G=N×Q with N=D7×C42 and Q=C2
dρLabelID
D7×C2×C42224D7xC2xC4^2448,924

Semidirect products G=N:Q with N=D7×C42 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×C42)⋊1C2 = D7×C4≀C2φ: C2/C1C2 ⊆ Out D7×C42564(D7xC4^2):1C2448,354
(D7×C42)⋊2C2 = C4×D42D7φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):2C2448,989
(D7×C42)⋊3C2 = C4×D4×D7φ: C2/C1C2 ⊆ Out D7×C42112(D7xC4^2):3C2448,997
(D7×C42)⋊4C2 = C42.228D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):4C2448,1001
(D7×C42)⋊5C2 = C42.229D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):5C2448,1010
(D7×C42)⋊6C2 = C4×Q82D7φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):6C2448,1026
(D7×C42)⋊7C2 = C42.131D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):7C2448,1033
(D7×C42)⋊8C2 = C42.233D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):8C2448,1121
(D7×C42)⋊9C2 = D7×C4.4D4φ: C2/C1C2 ⊆ Out D7×C42112(D7xC4^2):9C2448,1126
(D7×C42)⋊10C2 = C42.234D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):10C2448,1133
(D7×C42)⋊11C2 = C42.237D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):11C2448,1144
(D7×C42)⋊12C2 = D7×C41D4φ: C2/C1C2 ⊆ Out D7×C42112(D7xC4^2):12C2448,1167
(D7×C42)⋊13C2 = C42.238D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):13C2448,1169
(D7×C42)⋊14C2 = C42.240D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):14C2448,1178
(D7×C42)⋊15C2 = C4×C4○D28φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):15C2448,927
(D7×C42)⋊16C2 = D7×C42⋊C2φ: C2/C1C2 ⊆ Out D7×C42112(D7xC4^2):16C2448,973
(D7×C42)⋊17C2 = C42.188D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):17C2448,975
(D7×C42)⋊18C2 = C42.93D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):18C2448,981
(D7×C42)⋊19C2 = D7×C422C2φ: C2/C1C2 ⊆ Out D7×C42112(D7xC4^2):19C2448,1156
(D7×C42)⋊20C2 = C42.189D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2):20C2448,1159

Non-split extensions G=N.Q with N=D7×C42 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×C42).1C2 = D7×C4⋊C8φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).1C2448,366
(D7×C42).2C2 = C42.200D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).2C2448,367
(D7×C42).3C2 = C42.202D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).3C2448,369
(D7×C42).4C2 = C28⋊M4(2)φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).4C2448,371
(D7×C42).5C2 = C4×Q8×D7φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).5C2448,1024
(D7×C42).6C2 = C42.232D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).6C2448,1031
(D7×C42).7C2 = D7×C42.C2φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).7C2448,1140
(D7×C42).8C2 = C42.236D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).8C2448,1141
(D7×C42).9C2 = D7×C4⋊Q8φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).9C2448,1176
(D7×C42).10C2 = C42.241D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).10C2448,1181
(D7×C42).11C2 = C42.282D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).11C2448,219
(D7×C42).12C2 = C4×C8⋊D7φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).12C2448,221
(D7×C42).13C2 = D7×C8⋊C4φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).13C2448,238
(D7×C42).14C2 = C42.182D14φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).14C2448,239
(D7×C42).15C2 = Dic7.C42φ: C2/C1C2 ⊆ Out D7×C42224(D7xC4^2).15C2448,241
(D7×C42).16C2 = D7×C4×C8φ: trivial image224(D7xC4^2).16C2448,218

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