Extensions 1→N→G→Q→1 with N=C23:C4 and Q=C6

Direct product G=NxQ with N=C23:C4 and Q=C6
dρLabelID
C6xC23:C448C6xC2^3:C4192,842

Semidirect products G=N:Q with N=C23:C4 and Q=C6
extensionφ:Q→Out NdρLabelID
C23:C4:1C6 = C3xC2wrC4φ: C6/C3C2 ⊆ Out C23:C4244C2^3:C4:1C6192,157
C23:C4:2C6 = C3xC42:C4φ: C6/C3C2 ⊆ Out C23:C4244C2^3:C4:2C6192,159
C23:C4:3C6 = C3xC2wrC22φ: C6/C3C2 ⊆ Out C23:C4244C2^3:C4:3C6192,890
C23:C4:4C6 = C3xC23.7D4φ: C6/C3C2 ⊆ Out C23:C4484C2^3:C4:4C6192,891
C23:C4:5C6 = C3xC23.C23φ: trivial image484C2^3:C4:5C6192,843

Non-split extensions G=N.Q with N=C23:C4 and Q=C6
extensionφ:Q→Out NdρLabelID
C23:C4.1C6 = C3xC23.D4φ: C6/C3C2 ⊆ Out C23:C4484C2^3:C4.1C6192,158
C23:C4.2C6 = C3xC42:3C4φ: C6/C3C2 ⊆ Out C23:C4484C2^3:C4.2C6192,160

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