# Extensions 1→N→G→Q→1 with N=M4(2) and Q=C2×C14

Direct product G=N×Q with N=M4(2) and Q=C2×C14
dρLabelID
M4(2)×C2×C14224M4(2)xC2xC14448,1349

Semidirect products G=N:Q with N=M4(2) and Q=C2×C14
extensionφ:Q→Out NdρLabelID
M4(2)⋊1(C2×C14) = C7×D44D4φ: C2×C14/C7C22 ⊆ Out M4(2)564M4(2):1(C2xC14)448,861
M4(2)⋊2(C2×C14) = C7×D4.9D4φ: C2×C14/C7C22 ⊆ Out M4(2)1124M4(2):2(C2xC14)448,863
M4(2)⋊3(C2×C14) = C14×C8⋊C22φ: C2×C14/C14C2 ⊆ Out M4(2)112M4(2):3(C2xC14)448,1356
M4(2)⋊4(C2×C14) = C14×C8.C22φ: C2×C14/C14C2 ⊆ Out M4(2)224M4(2):4(C2xC14)448,1357
M4(2)⋊5(C2×C14) = C7×D8⋊C22φ: C2×C14/C14C2 ⊆ Out M4(2)1124M4(2):5(C2xC14)448,1358
M4(2)⋊6(C2×C14) = C7×D4○D8φ: C2×C14/C14C2 ⊆ Out M4(2)1124M4(2):6(C2xC14)448,1359
M4(2)⋊7(C2×C14) = C7×D4○SD16φ: C2×C14/C14C2 ⊆ Out M4(2)1124M4(2):7(C2xC14)448,1360
M4(2)⋊8(C2×C14) = C14×C4.D4φ: C2×C14/C14C2 ⊆ Out M4(2)112M4(2):8(C2xC14)448,819
M4(2)⋊9(C2×C14) = C14×C4≀C2φ: C2×C14/C14C2 ⊆ Out M4(2)112M4(2):9(C2xC14)448,828
M4(2)⋊10(C2×C14) = C7×C42⋊C22φ: C2×C14/C14C2 ⊆ Out M4(2)1124M4(2):10(C2xC14)448,829
M4(2)⋊11(C2×C14) = C14×C8○D4φ: trivial image224M4(2):11(C2xC14)448,1350
M4(2)⋊12(C2×C14) = C7×Q8○M4(2)φ: trivial image1124M4(2):12(C2xC14)448,1351

Non-split extensions G=N.Q with N=M4(2) and Q=C2×C14
extensionφ:Q→Out NdρLabelID
M4(2).1(C2×C14) = C7×D4.8D4φ: C2×C14/C7C22 ⊆ Out M4(2)1124M4(2).1(C2xC14)448,862
M4(2).2(C2×C14) = C7×D4.10D4φ: C2×C14/C7C22 ⊆ Out M4(2)1124M4(2).2(C2xC14)448,864
M4(2).3(C2×C14) = C7×D4.3D4φ: C2×C14/C7C22 ⊆ Out M4(2)1124M4(2).3(C2xC14)448,879
M4(2).4(C2×C14) = C7×D4.4D4φ: C2×C14/C7C22 ⊆ Out M4(2)1124M4(2).4(C2xC14)448,880
M4(2).5(C2×C14) = C7×D4.5D4φ: C2×C14/C7C22 ⊆ Out M4(2)2244M4(2).5(C2xC14)448,881
M4(2).6(C2×C14) = C7×Q8○D8φ: C2×C14/C14C2 ⊆ Out M4(2)2244M4(2).6(C2xC14)448,1361
M4(2).7(C2×C14) = C14×C4.10D4φ: C2×C14/C14C2 ⊆ Out M4(2)224M4(2).7(C2xC14)448,820
M4(2).8(C2×C14) = C7×M4(2).8C22φ: C2×C14/C14C2 ⊆ Out M4(2)1124M4(2).8(C2xC14)448,821
M4(2).9(C2×C14) = C14×C8.C4φ: C2×C14/C14C2 ⊆ Out M4(2)224M4(2).9(C2xC14)448,837
M4(2).10(C2×C14) = C7×M4(2).C4φ: C2×C14/C14C2 ⊆ Out M4(2)1124M4(2).10(C2xC14)448,838
M4(2).11(C2×C14) = C7×C8○D8φ: C2×C14/C14C2 ⊆ Out M4(2)1122M4(2).11(C2xC14)448,851
M4(2).12(C2×C14) = C7×C8.26D4φ: C2×C14/C14C2 ⊆ Out M4(2)1124M4(2).12(C2xC14)448,852

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