Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃xM₄(2)

Direct product G=NxQ with N=C₃² and Q=C₃xM₄(2)

		d	ρ	Label	ID
M₄(2)xC₃³		216		M4(2)xC3^3	432,516

Semidirect products G=N:Q with N=C₃² and Q=C₃xM₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁(C₃xM₄(2)) = He₃:₅M₄(2)	φ: C₃xM₄(2)/C₈ → C₆ ⊆ Aut C₃²	72	6	C3^2:1(C3xM4(2))	432,116
C₃²:₂(C₃xM₄(2)) = He₃:₇M₄(2)	φ: C₃xM₄(2)/C₂xC₄ → C₆ ⊆ Aut C₃²	72	6	C3^2:2(C3xM4(2))	432,137
C₃²:₃(C₃xM₄(2)) = C₃xC₃²:M₄(2)	φ: C₃xM₄(2)/C₁₂ → C₄ ⊆ Aut C₃²	48	4	C3^2:3(C3xM4(2))	432,629
C₃²:₄(C₃xM₄(2)) = C₃xD₆.Dic₃	φ: C₃xM₄(2)/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:4(C3xM4(2))	432,416
C₃²:₅(C₃xM₄(2)) = C₃xC₁₂.₃₁D₆	φ: C₃xM₄(2)/C₁₂ → C₂² ⊆ Aut C₃²	48	4	C3^2:5(C3xM4(2))	432,417
C₃²:₆(C₃xM₄(2)) = C₃xC₆².C₄	φ: C₃xM₄(2)/C₂xC₆ → C₄ ⊆ Aut C₃²	24	4	C3^2:6(C3xM4(2))	432,633
C₃²:₇(C₃xM₄(2)) = M₄(2)xHe₃	φ: C₃xM₄(2)/M₄(2) → C₃ ⊆ Aut C₃²	72	6	C3^2:7(C3xM4(2))	432,213
C₃²:₈(C₃xM₄(2)) = C₃²xC₈:S₃	φ: C₃xM₄(2)/C₂₄ → C₂ ⊆ Aut C₃²	144		C3^2:8(C3xM4(2))	432,465
C₃²:₉(C₃xM₄(2)) = C₃xC₂₄:S₃	φ: C₃xM₄(2)/C₂₄ → C₂ ⊆ Aut C₃²	144		C3^2:9(C3xM4(2))	432,481
C₃²:₁₀(C₃xM₄(2)) = C₃²xC₄.Dic₃	φ: C₃xM₄(2)/C₂xC₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:10(C3xM4(2))	432,470
C₃²:₁₁(C₃xM₄(2)) = C₃xC₁₂.₅₈D₆	φ: C₃xM₄(2)/C₂xC₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:11(C3xM4(2))	432,486

Non-split extensions G=N.Q with N=C₃² and Q=C₃xM₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃xM₄(2)) = M₄(2)x3_-¹⁺²	φ: C₃xM₄(2)/M₄(2) → C₃ ⊆ Aut C₃²	72	6	C3^2.(C3xM4(2))	432,214
C₃².₂(C₃xM₄(2)) = C₉xC₈:S₃	φ: C₃xM₄(2)/C₂₄ → C₂ ⊆ Aut C₃²	144	2	C3^2.2(C3xM4(2))	432,110
C₃².₃(C₃xM₄(2)) = C₉xC₄.Dic₃	φ: C₃xM₄(2)/C₂xC₁₂ → C₂ ⊆ Aut C₃²	72	2	C3^2.3(C3xM4(2))	432,127
C₃².₄(C₃xM₄(2)) = M₄(2)xC₃xC₉	central extension (φ=1)	216		C3^2.4(C3xM4(2))	432,212

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