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Extensions 1→N→G→Q→1 with N=C14 and Q=C4⋊C8

Direct product G=N×Q with N=C14 and Q=C4⋊C8
dρLabelID
C14×C4⋊C8448C14xC4:C8448,830

Semidirect products G=N:Q with N=C14 and Q=C4⋊C8
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4⋊C8) = C2×C28⋊C8φ: C4⋊C8/C42 → C2 ⊆ Aut C14448C14:1(C4:C8)448,457
C14⋊2(C4⋊C8) = C2×Dic7⋊C8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C14448C14:2(C4:C8)448,633

Non-split extensions G=N.Q with N=C14 and Q=C4⋊C8
extensionφ:Q→Aut NdρLabelID
C14.1(C4⋊C8) = C56⋊2C8φ: C4⋊C8/C42 → C2 ⊆ Aut C14448C14.1(C4:C8)448,14
C14.2(C4⋊C8) = C56⋊1C8φ: C4⋊C8/C42 → C2 ⊆ Aut C14448C14.2(C4:C8)448,15
C14.3(C4⋊C8) = C28⋊C16φ: C4⋊C8/C42 → C2 ⊆ Aut C14448C14.3(C4:C8)448,19
C14.4(C4⋊C8) = C56.16Q8φ: C4⋊C8/C42 → C2 ⊆ Aut C141122C14.4(C4:C8)448,20
C14.5(C4⋊C8) = (C2×C28)⋊3C8φ: C4⋊C8/C42 → C2 ⊆ Aut C14448C14.5(C4:C8)448,81
C14.6(C4⋊C8) = C28.53D8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C14448C14.6(C4:C8)448,36
C14.7(C4⋊C8) = C28.39SD16φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C14448C14.7(C4:C8)448,37
C14.8(C4⋊C8) = Dic7⋊C16φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C14448C14.8(C4:C8)448,58
C14.9(C4⋊C8) = C56.9Q8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C141124C14.9(C4:C8)448,68
C14.10(C4⋊C8) = (C2×C56)⋊5C4φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C14448C14.10(C4:C8)448,107
C14.11(C4⋊C8) = C7×C8⋊2C8central extension (φ=1)448C14.11(C4:C8)448,138
C14.12(C4⋊C8) = C7×C8⋊1C8central extension (φ=1)448C14.12(C4:C8)448,139
C14.13(C4⋊C8) = C7×C22.7C42central extension (φ=1)448C14.13(C4:C8)448,140
C14.14(C4⋊C8) = C7×C4⋊C16central extension (φ=1)448C14.14(C4:C8)448,167
C14.15(C4⋊C8) = C7×C8.C8central extension (φ=1)1122C14.15(C4:C8)448,168

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