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Extensions 1→N→G→Q→1 with N=C22 and Q=C4.A4

Direct product G=NxQ with N=C22 and Q=C4.A4
dρLabelID
C22xC4.A464C2^2xC4.A4192,1500

Semidirect products G=N:Q with N=C22 and Q=C4.A4
extensionφ:Q→Aut NdρLabelID
C22:(C4.A4) = C4oD4:A4φ: C4.A4/C4oD4 → C3 ⊆ Aut C22246C2^2:(C4.A4)192,1507
C22:2(C4.A4) = SL2(F3):5D4φ: C4.A4/SL2(F3) → C2 ⊆ Aut C2232C2^2:2(C4.A4)192,1003

Non-split extensions G=N.Q with N=C22 and Q=C4.A4
extensionφ:Q→Aut NdρLabelID
C22.1(C4.A4) = C42:4C4:C3φ: C4.A4/C4oD4 → C3 ⊆ Aut C22246C2^2.1(C4.A4)192,190
C22.2(C4.A4) = C23:2D4:C3φ: C4.A4/C4oD4 → C3 ⊆ Aut C22126+C2^2.2(C4.A4)192,194
C22.3(C4.A4) = (C22xC4).A4φ: C4.A4/C4oD4 → C3 ⊆ Aut C22246-C2^2.3(C4.A4)192,196
C22.4(C4.A4) = C23.19(C2xA4)φ: C4.A4/C4oD4 → C3 ⊆ Aut C22246C2^2.4(C4.A4)192,199
C22.5(C4.A4) = C2xC4xSL2(F3)central extension (φ=1)64C2^2.5(C4.A4)192,996

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