Extensions 1→N→G→Q→1 with N=C14 and Q=Q32

Direct product G=N×Q with N=C14 and Q=Q32
dρLabelID
C14×Q32448C14xQ32448,915

Semidirect products G=N:Q with N=C14 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C141Q32 = C2×Dic56φ: Q32/C16C2 ⊆ Aut C14448C14:1Q32448,439
C142Q32 = C2×C7⋊Q32φ: Q32/Q16C2 ⊆ Aut C14448C14:2Q32448,714

Non-split extensions G=N.Q with N=C14 and Q=Q32
extensionφ:Q→Aut NdρLabelID
C14.1Q32 = C56.78D4φ: Q32/C16C2 ⊆ Aut C14448C14.1Q32448,60
C14.2Q32 = C1125C4φ: Q32/C16C2 ⊆ Aut C14448C14.2Q32448,61
C14.3Q32 = C8.4Dic14φ: Q32/Q16C2 ⊆ Aut C14448C14.3Q32448,46
C14.4Q32 = C56.6D4φ: Q32/Q16C2 ⊆ Aut C14448C14.4Q32448,49
C14.5Q32 = C14.Q32φ: Q32/Q16C2 ⊆ Aut C14448C14.5Q32448,121
C14.6Q32 = C7×C2.Q32central extension (φ=1)448C14.6Q32448,162
C14.7Q32 = C7×C163C4central extension (φ=1)448C14.7Q32448,170

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