Extensions 1→N→G→Q→1 with N=C23 and Q=C13:C4

Direct product G=NxQ with N=C23 and Q=C13:C4
dρLabelID
C23xC13:C4104C2^3xC13:C4416,233

Semidirect products G=N:Q with N=C23 and Q=C13:C4
extensionφ:Q→Aut NdρLabelID
C23:(C13:C4) = D26.4D4φ: C13:C4/C13C4 ⊆ Aut C231044C2^3:(C13:C4)416,86
C23:2(C13:C4) = C2xD13.D4φ: C13:C4/D13C2 ⊆ Aut C23104C2^3:2(C13:C4)416,211

Non-split extensions G=N.Q with N=C23 and Q=C13:C4
extensionφ:Q→Aut NdρLabelID
C23.(C13:C4) = Dic13.4D4φ: C13:C4/C13C4 ⊆ Aut C231044C2^3.(C13:C4)416,88
C23.2(C13:C4) = C26.M4(2)φ: C13:C4/D13C2 ⊆ Aut C23208C2^3.2(C13:C4)416,87
C23.3(C13:C4) = C2xC13:M4(2)φ: C13:C4/D13C2 ⊆ Aut C23208C2^3.3(C13:C4)416,210
C23.4(C13:C4) = C22xC13:C8central extension (φ=1)416C2^3.4(C13:C4)416,209

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