Extensions 1→N→G→Q→1 with N=C₂xC₃:S₃ and Q=C₂²

Direct product G=NxQ with N=C₂xC₃:S₃ and Q=C₂²

		d	ρ	Label	ID
C₂³xC₃:S₃		72		C2^3xC3:S3	144,196

Semidirect products G=N:Q with N=C₂xC₃:S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:S₃):₁C₂² = S₃xD₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	24	4+	(C2xC3:S3):1C2^2	144,144
(C₂xC₃:S₃):₂C₂² = S₃xC₃:D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3):2C2^2	144,153
(C₂xC₃:S₃):₃C₂² = C₂xC₃:D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24		(C2xC3:S3):3C2^2	144,151
(C₂xC₃:S₃):₄C₂² = Dic₃:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	12	4+	(C2xC3:S3):4C2^2	144,154
(C₂xC₃:S₃):₅C₂² = C₂xC₁₂:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	72		(C2xC3:S3):5C2^2	144,170
(C₂xC₃:S₃):₆C₂² = D₄xC₃:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	36		(C2xC3:S3):6C2^2	144,172
(C₂xC₃:S₃):₇C₂² = C₂xC₃²:₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	72		(C2xC3:S3):7C2^2	144,177
(C₂xC₃:S₃):₈C₂² = C₂²xS₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24		(C2xC3:S3):8C2^2	144,192

Non-split extensions G=N.Q with N=C₂xC₃:S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:S₃).₁C₂² = S₃²:C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	12	4+	(C2xC3:S3).1C2^2	144,115
(C₂xC₃:S₃).₂C₂² = C₃:S₃.Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).2C2^2	144,116
(C₂xC₃:S₃).₃C₂² = C₂.PSU₃(F₂)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	24	8+	(C2xC3:S3).3C2^2	144,120
(C₂xC₃:S₃).₄C₂² = D₆.₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	24	4+	(C2xC3:S3).4C2^2	144,142
(C₂xC₃:S₃).₅C₂² = D₆.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).5C2^2	144,147
(C₂xC₃:S₃).₆C₂² = C₂xS₃wrC₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	12	4+	(C2xC3:S3).6C2^2	144,186
(C₂xC₃:S₃).₇C₂² = C₂xPSU₃(F₂)	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃:S₃	18	8+	(C2xC3:S3).7C2^2	144,187
(C₂xC₃:S₃).₈C₂² = C₄xC₃²:C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).8C2^2	144,132
(C₂xC₃:S₃).₉C₂² = C₄:(C₃²:C₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).9C2^2	144,133
(C₂xC₃:S₃).₁₀C₂² = C₆²:C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	12	4+	(C2xC3:S3).10C2^2	144,136
(C₂xC₃:S₃).₁₁C₂² = D₁₂:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).11C2^2	144,139
(C₂xC₃:S₃).₁₂C₂² = Dic₃.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).12C2^2	144,140
(C₂xC₃:S₃).₁₃C₂² = D₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).13C2^2	144,141
(C₂xC₃:S₃).₁₄C₂² = C₄xS₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).14C2^2	144,143
(C₂xC₃:S₃).₁₅C₂² = D₆:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3).15C2^2	144,145
(C₂xC₃:S₃).₁₆C₂² = C₂xC₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24		(C2xC3:S3).16C2^2	144,149
(C₂xC₃:S₃).₁₇C₂² = C₁₂.₅₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	72		(C2xC3:S3).17C2^2	144,171
(C₂xC₃:S₃).₁₈C₂² = C₁₂.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	72		(C2xC3:S3).18C2^2	144,173
(C₂xC₃:S₃).₁₉C₂² = C₁₂.₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	72		(C2xC3:S3).19C2^2	144,175
(C₂xC₃:S₃).₂₀C₂² = C₂²xC₃²:C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃:S₃	24		(C2xC3:S3).20C2^2	144,191
(C₂xC₃:S₃).₂₁C₂² = C₂xC₄xC₃:S₃	φ: trivial image	72		(C2xC3:S3).21C2^2	144,169
(C₂xC₃:S₃).₂₂C₂² = Q₈xC₃:S₃	φ: trivial image	72		(C2xC3:S3).22C2^2	144,174

Extensions 1→N→G→Q→1 with N=C2xC3:S3 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂xC₃:S₃ and Q=C₂²