Extensions 1→N→G→Q→1 with N=C22 and Q=Dic5

Direct product G=N×Q with N=C22 and Q=Dic5
dρLabelID
Dic5×C22440Dic5xC22440,32

Semidirect products G=N:Q with N=C22 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C22⋊Dic5 = C2×Dic55φ: Dic5/C10C2 ⊆ Aut C22440C22:Dic5440,37

Non-split extensions G=N.Q with N=C22 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C22.Dic5 = C553C8φ: Dic5/C10C2 ⊆ Aut C224402C22.Dic5440,5
C22.2Dic5 = C11×C52C8central extension (φ=1)4402C22.2Dic5440,3

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