Extensions 1→N→G→Q→1 with N=C₃:Dic₃ and Q=C₂²

Direct product G=NxQ with N=C₃:Dic₃ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₃:Dic₃		144		C2^2xC3:Dic3	144,176

Semidirect products G=N:Q with N=C₃:Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:Dic₃:C₂² = S₃xC₃:D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Dic₃	24	4	C3:Dic3:C2^2	144,153
C₃:Dic₃:₂C₂² = C₄xS₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3:2C2^2	144,143
C₃:Dic₃:₃C₂² = D₆:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3:3C2^2	144,145
C₃:Dic₃:₄C₂² = C₂xS₃xDic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	48		C3:Dic3:4C2^2	144,146
C₃:Dic₃:₅C₂² = C₂xD₆:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	48		C3:Dic3:5C2^2	144,150
C₃:Dic₃:₆C₂² = D₄xC₃:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	36		C3:Dic3:6C2^2	144,172
C₃:Dic₃:₇C₂² = C₂xC₃²:₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	72		C3:Dic3:7C2^2	144,177
C₃:Dic₃:₈C₂² = C₂xC₄xC₃:S₃	φ: trivial image	72		C3:Dic3:8C2^2	144,169

Non-split extensions G=N.Q with N=C₃:Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:Dic₃.₁C₂² = C₃²:D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Dic₃	24	4	C3:Dic3.1C2^2	144,117
C₃:Dic₃.₂C₂² = C₃²:₂SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Dic₃	24	4-	C3:Dic3.2C2^2	144,118
C₃:Dic₃.₃C₂² = C₃²:Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Dic₃	48	4-	C3:Dic3.3C2^2	144,119
C₃:Dic₃.₄C₂² = S₃xDic₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Dic₃	48	4-	C3:Dic3.4C2^2	144,137
C₃:Dic₃.₅C₂² = D₁₂:₅S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Dic₃	48	4-	C3:Dic3.5C2^2	144,138
C₃:Dic₃.₆C₂² = D₆.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Dic₃	24	4	C3:Dic3.6C2^2	144,147
C₃:Dic₃.₇C₂² = C₃:S₃:₃C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3.7C2^2	144,130
C₃:Dic₃.₈C₂² = C₃²:M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3.8C2^2	144,131
C₃:Dic₃.₉C₂² = C₂xC₃²:₂C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	48		C3:Dic3.9C2^2	144,134
C₃:Dic₃.₁₀C₂² = C₆².C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4-	C3:Dic3.10C2^2	144,135
C₃:Dic₃.₁₁C₂² = D₁₂:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3.11C2^2	144,139
C₃:Dic₃.₁₂C₂² = Dic₃.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3.12C2^2	144,140
C₃:Dic₃.₁₃C₂² = D₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4	C3:Dic3.13C2^2	144,141
C₃:Dic₃.₁₄C₂² = D₆.₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	24	4-	C3:Dic3.14C2^2	144,148
C₃:Dic₃.₁₅C₂² = C₂xC₃²:₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	48		C3:Dic3.15C2^2	144,152
C₃:Dic₃.₁₆C₂² = C₂xC₃²:₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	144		C3:Dic3.16C2^2	144,168
C₃:Dic₃.₁₇C₂² = C₁₂.₅₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	72		C3:Dic3.17C2^2	144,171
C₃:Dic₃.₁₈C₂² = C₁₂.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	72		C3:Dic3.18C2^2	144,173
C₃:Dic₃.₁₉C₂² = Q₈xC₃:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Dic₃	72		C3:Dic3.19C2^2	144,174
C₃:Dic₃.₂₀C₂² = C₁₂.₂₆D₆	φ: trivial image	72		C3:Dic3.20C2^2	144,175

Extensions 1→N→G→Q→1 with N=C3:Dic3 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃:Dic₃ and Q=C₂²