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Extensions 1→N→G→Q→1 with N=C14 and Q=Q8⋊C4

Direct product G=N×Q with N=C14 and Q=Q8⋊C4
dρLabelID
C14×Q8⋊C4448C14xQ8:C4448,823

Semidirect products G=N:Q with N=C14 and Q=Q8⋊C4
extensionφ:Q→Aut NdρLabelID
C14⋊1(Q8⋊C4) = C2×C14.Q16φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14:1(Q8:C4)448,503
C14⋊2(Q8⋊C4) = C2×C28.44D4φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C14448C14:2(Q8:C4)448,637
C14⋊3(Q8⋊C4) = C2×Q8⋊Dic7φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C14448C14:3(Q8:C4)448,758

Non-split extensions G=N.Q with N=C14 and Q=Q8⋊C4
extensionφ:Q→Aut NdρLabelID
C14.1(Q8⋊C4) = C4⋊Dic7⋊C4φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C14112C14.1(Q8:C4)448,9
C14.2(Q8⋊C4) = Dic14⋊2C8φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.2(Q8:C4)448,41
C14.3(Q8⋊C4) = C28.2D8φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.3(Q8:C4)448,43
C14.4(Q8⋊C4) = C28.C42φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C14448C14.4(Q8:C4)448,86
C14.5(Q8⋊C4) = C4.8Dic28φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C14448C14.5(Q8:C4)448,13
C14.6(Q8⋊C4) = C23.30D28φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C14112C14.6(Q8:C4)448,24
C14.7(Q8⋊C4) = C4.Dic28φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C14448C14.7(Q8:C4)448,38
C14.8(Q8⋊C4) = C28.47D8φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C14448C14.8(Q8:C4)448,39
C14.9(Q8⋊C4) = C28.9C42φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C14448C14.9(Q8:C4)448,108
C14.10(Q8⋊C4) = C28.26Q16φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C14448C14.10(Q8:C4)448,92
C14.11(Q8⋊C4) = C4⋊C4⋊Dic7φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C14112C14.11(Q8:C4)448,95
C14.12(Q8⋊C4) = C28.5Q16φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C14448C14.12(Q8:C4)448,103
C14.13(Q8⋊C4) = C28.10D8φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C14448C14.13(Q8:C4)448,104
C14.14(Q8⋊C4) = C7×Q8⋊C8central extension (φ=1)448C14.14(Q8:C4)448,130
C14.15(Q8⋊C4) = C7×C23.31D4central extension (φ=1)112C14.15(Q8:C4)448,132
C14.16(Q8⋊C4) = C7×C4.10D8central extension (φ=1)448C14.16(Q8:C4)448,136
C14.17(Q8⋊C4) = C7×C4.6Q16central extension (φ=1)448C14.17(Q8:C4)448,137
C14.18(Q8⋊C4) = C7×C22.4Q16central extension (φ=1)448C14.18(Q8:C4)448,144

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