# Extensions 1→N→G→Q→1 with N=C7×C4○D4 and Q=C2

Direct product G=N×Q with N=C7×C4○D4 and Q=C2
dρLabelID
C14×C4○D4112C14xC4oD4224,192

Semidirect products G=N:Q with N=C7×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4○D4)⋊1C2 = D4⋊D14φ: C2/C1C2 ⊆ Out C7×C4○D4564+(C7xC4oD4):1C2224,144
(C7×C4○D4)⋊2C2 = D4.8D14φ: C2/C1C2 ⊆ Out C7×C4○D41124(C7xC4oD4):2C2224,145
(C7×C4○D4)⋊3C2 = D7×C4○D4φ: C2/C1C2 ⊆ Out C7×C4○D4564(C7xC4oD4):3C2224,184
(C7×C4○D4)⋊4C2 = D48D14φ: C2/C1C2 ⊆ Out C7×C4○D4564+(C7xC4oD4):4C2224,185
(C7×C4○D4)⋊5C2 = D4.10D14φ: C2/C1C2 ⊆ Out C7×C4○D41124-(C7xC4oD4):5C2224,186
(C7×C4○D4)⋊6C2 = C7×C4○D8φ: C2/C1C2 ⊆ Out C7×C4○D41122(C7xC4oD4):6C2224,170
(C7×C4○D4)⋊7C2 = C7×C8⋊C22φ: C2/C1C2 ⊆ Out C7×C4○D4564(C7xC4oD4):7C2224,171
(C7×C4○D4)⋊8C2 = C7×2+ 1+4φ: C2/C1C2 ⊆ Out C7×C4○D4564(C7xC4oD4):8C2224,193
(C7×C4○D4)⋊9C2 = C7×2- 1+4φ: C2/C1C2 ⊆ Out C7×C4○D41124(C7xC4oD4):9C2224,194

Non-split extensions G=N.Q with N=C7×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4○D4).1C2 = D42Dic7φ: C2/C1C2 ⊆ Out C7×C4○D4564(C7xC4oD4).1C2224,43
(C7×C4○D4).2C2 = Q8.Dic7φ: C2/C1C2 ⊆ Out C7×C4○D41124(C7xC4oD4).2C2224,143
(C7×C4○D4).3C2 = D4.9D14φ: C2/C1C2 ⊆ Out C7×C4○D41124-(C7xC4oD4).3C2224,146
(C7×C4○D4).4C2 = C7×C4≀C2φ: C2/C1C2 ⊆ Out C7×C4○D4562(C7xC4oD4).4C2224,53
(C7×C4○D4).5C2 = C7×C8.C22φ: C2/C1C2 ⊆ Out C7×C4○D41124(C7xC4oD4).5C2224,172
(C7×C4○D4).6C2 = C7×C8○D4φ: trivial image1122(C7xC4oD4).6C2224,166

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