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Extensions 1→N→G→Q→1 with N=C14 and Q=C4⋊C4

Direct product G=N×Q with N=C14 and Q=C4⋊C4
dρLabelID
C14×C4⋊C4224C14xC4:C4224,151

Semidirect products G=N:Q with N=C14 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4⋊C4) = C2×Dic7⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14:1(C4:C4)224,118
C14⋊2(C4⋊C4) = C2×C4⋊Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14:2(C4:C4)224,120

Non-split extensions G=N.Q with N=C14 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C14.1(C4⋊C4) = C28⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14.1(C4:C4)224,10
C14.2(C4⋊C4) = C28.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14.2(C4:C4)224,13
C14.3(C4⋊C4) = C4.Dic14φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14.3(C4:C4)224,14
C14.4(C4⋊C4) = Dic7⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14.4(C4:C4)224,20
C14.5(C4⋊C4) = C8⋊Dic7φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14.5(C4:C4)224,23
C14.6(C4⋊C4) = C56⋊1C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14.6(C4:C4)224,24
C14.7(C4⋊C4) = C56.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C141122C14.7(C4:C4)224,25
C14.8(C4⋊C4) = C28.53D4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C141124C14.8(C4:C4)224,28
C14.9(C4⋊C4) = C14.C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C14224C14.9(C4:C4)224,37
C14.10(C4⋊C4) = C7×C2.C42central extension (φ=1)224C14.10(C4:C4)224,44
C14.11(C4⋊C4) = C7×C4⋊C8central extension (φ=1)224C14.11(C4:C4)224,54
C14.12(C4⋊C4) = C7×C4.Q8central extension (φ=1)224C14.12(C4:C4)224,55
C14.13(C4⋊C4) = C7×C2.D8central extension (φ=1)224C14.13(C4:C4)224,56
C14.14(C4⋊C4) = C7×C8.C4central extension (φ=1)1122C14.14(C4:C4)224,57

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