Extensions 1→N→G→Q→1 with N=C32 and Q=C14

Direct product G=N×Q with N=C32 and Q=C14
dρLabelID
C2×C224448C2xC224448,173

Semidirect products G=N:Q with N=C32 and Q=C14
extensionφ:Q→Aut NdρLabelID
C321C14 = C7×D32φ: C14/C7C2 ⊆ Aut C322242C32:1C14448,175
C322C14 = C7×SD64φ: C14/C7C2 ⊆ Aut C322242C32:2C14448,176
C323C14 = C7×M6(2)φ: C14/C7C2 ⊆ Aut C322242C32:3C14448,174

Non-split extensions G=N.Q with N=C32 and Q=C14
extensionφ:Q→Aut NdρLabelID
C32.C14 = C7×Q64φ: C14/C7C2 ⊆ Aut C324482C32.C14448,177

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