Extensions 1→N→G→Q→1 with N=C23 and Q=C14

Direct product G=NxQ with N=C23 and Q=C14
dρLabelID
C23xC14112C2^3xC14112,43

Semidirect products G=N:Q with N=C23 and Q=C14
extensionφ:Q→Aut NdρLabelID
C23:C14 = C2xF8φ: C14/C2C7 ⊆ Aut C23147+C2^3:C14112,41
C23:2C14 = D4xC14φ: C14/C7C2 ⊆ Aut C2356C2^3:2C14112,38

Non-split extensions G=N.Q with N=C23 and Q=C14
extensionφ:Q→Aut NdρLabelID
C23.C14 = C7xC22:C4φ: C14/C7C2 ⊆ Aut C2356C2^3.C14112,20

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