Extensions 1→N→G→Q→1 with N=C₃²⋊C₁₂ and Q=C₂²

Direct product G=N×Q with N=C₃²⋊C₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃²⋊C₁₂		144		C2^2xC3^2:C12	432,376

Semidirect products G=N:Q with N=C₃²⋊C₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₁₂⋊₁C₂² = C₆²⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊C₁₂	36	12+	C3^2:C12:1C2^2	432,323
C₃²⋊C₁₂⋊₂C₂² = C₆²⋊₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊C₁₂	36	6	C3^2:C12:2C2^2	432,324
C₃²⋊C₁₂⋊₃C₂² = C₃⋊S₃⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	36	12+	C3^2:C12:3C2^2	432,301
C₃²⋊C₁₂⋊₄C₂² = C₂×He₃⋊₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72		C3^2:C12:4C2^2	432,322
C₃²⋊C₁₂⋊₅C₂² = C₄×C₃²⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	36	6	C3^2:C12:5C2^2	432,300
C₃²⋊C₁₂⋊₆C₂² = C₂×C₆.S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72		C3^2:C12:6C2^2	432,317
C₃²⋊C₁₂⋊₇C₂² = C₂×He₃⋊(C₂×C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72		C3^2:C12:7C2^2	432,321
C₃²⋊C₁₂⋊₈C₂² = D₄×C₃²⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	36	12+	C3^2:C12:8C2^2	432,360
C₃²⋊C₁₂⋊₉C₂² = C₂×He₃⋊₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72		C3^2:C12:9C2^2	432,377
C₃²⋊C₁₂⋊₁₀C₂² = C₂×C₄×C₃²⋊C₆	φ: trivial image	72		C3^2:C12:10C2^2	432,349

Non-split extensions G=N.Q with N=C₃²⋊C₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₁₂.₁C₂² = C₁₂.₈₄S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊C₁₂	72	6	C3^2:C12.1C2^2	432,296
C₃²⋊C₁₂.₂C₂² = C₁₂.₈₅S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊C₁₂	72	6-	C3^2:C12.2C2^2	432,298
C₃²⋊C₁₂.₃C₂² = C₁₂.S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊C₁₂	72	12-	C3^2:C12.3C2^2	432,299
C₃²⋊C₁₂.₄C₂² = C₆².₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²⋊C₁₂	72	6	C3^2:C12.4C2^2	432,319
C₃²⋊C₁₂.₅C₂² = C₃⋊S₃⋊Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	12-	C3^2:C12.5C2^2	432,294
C₃²⋊C₁₂.₆C₂² = C₁₂.₉₁S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	6	C3^2:C12.6C2^2	432,297
C₃²⋊C₁₂.₇C₂² = C₂×He₃⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	144		C3^2:C12.7C2^2	432,316
C₃²⋊C₁₂.₈C₂² = C₆².₈D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	12-	C3^2:C12.8C2^2	432,318
C₃²⋊C₁₂.₉C₂² = C₁₂⋊S₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	12+	C3^2:C12.9C2^2	432,295
C₃²⋊C₁₂.₁₀C₂² = C₂×He₃⋊₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	144		C3^2:C12.10C2^2	432,348
C₃²⋊C₁₂.₁₁C₂² = C₆².₃₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	6	C3^2:C12.11C2^2	432,351
C₃²⋊C₁₂.₁₂C₂² = C₆².₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	12-	C3^2:C12.12C2^2	432,361
C₃²⋊C₁₂.₁₃C₂² = Q₈×C₃²⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	12-	C3^2:C12.13C2^2	432,368
C₃²⋊C₁₂.₁₄C₂² = (Q₈×He₃)⋊C₂	φ: trivial image	72	12+	C3^2:C12.14C2^2	432,369

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