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

Direct product G=N×Q with N=C14 and Q=C23
dρLabelID
C23×C14112C2^3xC14112,43

Semidirect products G=N:Q with N=C14 and Q=C23
extensionφ:Q→Aut NdρLabelID
C14⋊C23 = C23×D7φ: C23/C22C2 ⊆ Aut C1456C14:C2^3112,42

Non-split extensions G=N.Q with N=C14 and Q=C23
extensionφ:Q→Aut NdρLabelID
C14.1C23 = C2×Dic14φ: C23/C22C2 ⊆ Aut C14112C14.1C2^3112,27
C14.2C23 = C2×C4×D7φ: C23/C22C2 ⊆ Aut C1456C14.2C2^3112,28
C14.3C23 = C2×D28φ: C23/C22C2 ⊆ Aut C1456C14.3C2^3112,29
C14.4C23 = C4○D28φ: C23/C22C2 ⊆ Aut C14562C14.4C2^3112,30
C14.5C23 = D4×D7φ: C23/C22C2 ⊆ Aut C14284+C14.5C2^3112,31
C14.6C23 = D42D7φ: C23/C22C2 ⊆ Aut C14564-C14.6C2^3112,32
C14.7C23 = Q8×D7φ: C23/C22C2 ⊆ Aut C14564-C14.7C2^3112,33
C14.8C23 = Q82D7φ: C23/C22C2 ⊆ Aut C14564+C14.8C2^3112,34
C14.9C23 = C22×Dic7φ: C23/C22C2 ⊆ Aut C14112C14.9C2^3112,35
C14.10C23 = C2×C7⋊D4φ: C23/C22C2 ⊆ Aut C1456C14.10C2^3112,36
C14.11C23 = D4×C14central extension (φ=1)56C14.11C2^3112,38
C14.12C23 = Q8×C14central extension (φ=1)112C14.12C2^3112,39
C14.13C23 = C7×C4○D4central extension (φ=1)562C14.13C2^3112,40

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