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

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃⋊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 = S₃×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊Dic₃	24	4	C3:Dic3:C2^2	144,153
C₃⋊Dic₃⋊₂C₂² = C₄×S₃²	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 = C₂×S₃×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:4C2^2	144,146
C₃⋊Dic₃⋊₅C₂² = C₂×D₆⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3:5C2^2	144,150
C₃⋊Dic₃⋊₆C₂² = D₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Dic₃	36		C3:Dic3:6C2^2	144,172
C₃⋊Dic₃⋊₇C₂² = C₂×C₃²⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Dic₃	72		C3:Dic3:7C2^2	144,177
C₃⋊Dic₃⋊₈C₂² = C₂×C₄×C₃⋊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 = S₃×Dic₆	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 = C₂×C₃²⋊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 = C₂×C₃²⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Dic₃	48		C3:Dic3.15C2^2	144,152
C₃⋊Dic₃.₁₆C₂² = C₂×C₃²⋊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 = Q₈×C₃⋊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

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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