Extensions 1→N→G→Q→1 with N=C₃×C₁₂ and Q=C₂²

Direct product G=N×Q with N=C₃×C₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂×C₆×C₁₂		144		C2xC6xC12	144,178

Semidirect products G=N:Q with N=C₃×C₁₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂)⋊₁C₂² = S₃×D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4+	(C3xC12):1C2^2	144,144
(C₃×C₁₂)⋊₂C₂² = D₆⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12):2C2^2	144,145
(C₃×C₁₂)⋊₃C₂² = C₃×S₃×D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12):3C2^2	144,162
(C₃×C₁₂)⋊₄C₂² = D₄×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	36		(C3xC12):4C2^2	144,172
(C₃×C₁₂)⋊₅C₂² = C₄×S₃²	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12):5C2^2	144,143
(C₃×C₁₂)⋊₆C₂² = C₂×C₁₂⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12):6C2^2	144,170
(C₃×C₁₂)⋊₇C₂² = C₆×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48		(C3xC12):7C2^2	144,160
(C₃×C₁₂)⋊₈C₂² = S₃×C₂×C₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48		(C3xC12):8C2^2	144,159
(C₃×C₁₂)⋊₉C₂² = C₂×C₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12):9C2^2	144,169
(C₃×C₁₂)⋊₁₀C₂² = D₄×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12):10C2^2	144,179

Non-split extensions G=N.Q with N=C₃×C₁₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂).₁C₂² = C₃²⋊₂D₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).1C2^2	144,56
(C₃×C₁₂).₂C₂² = C₃⋊D₂₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4+	(C3xC12).2C2^2	144,57
(C₃×C₁₂).₃C₂² = Dic₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).3C2^2	144,58
(C₃×C₁₂).₄C₂² = D₁₂.S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4-	(C3xC12).4C2^2	144,59
(C₃×C₁₂).₅C₂² = C₃²⋊₅SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4+	(C3xC12).5C2^2	144,60
(C₃×C₁₂).₆C₂² = C₃²⋊₂Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).6C2^2	144,61
(C₃×C₁₂).₇C₂² = C₃²⋊₃Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4-	(C3xC12).7C2^2	144,62
(C₃×C₁₂).₈C₂² = C₃×D₄⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12).8C2^2	144,80
(C₃×C₁₂).₉C₂² = C₃×D₄.S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12).9C2^2	144,81
(C₃×C₁₂).₁₀C₂² = C₃×Q₈⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).10C2^2	144,82
(C₃×C₁₂).₁₁C₂² = C₃×C₃⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).11C2^2	144,83
(C₃×C₁₂).₁₂C₂² = C₃²⋊₇D₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	72		(C3xC12).12C2^2	144,96
(C₃×C₁₂).₁₃C₂² = C₃²⋊₉SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	72		(C3xC12).13C2^2	144,97
(C₃×C₁₂).₁₄C₂² = C₃²⋊₁₁SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	72		(C3xC12).14C2^2	144,98
(C₃×C₁₂).₁₅C₂² = C₃²⋊₇Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	144		(C3xC12).15C2^2	144,99
(C₃×C₁₂).₁₆C₂² = S₃×Dic₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4-	(C3xC12).16C2^2	144,137
(C₃×C₁₂).₁₇C₂² = D₁₂⋊₅S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4-	(C3xC12).17C2^2	144,138
(C₃×C₁₂).₁₈C₂² = D₁₂⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12).18C2^2	144,139
(C₃×C₁₂).₁₉C₂² = Dic₃.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12).19C2^2	144,140
(C₃×C₁₂).₂₀C₂² = D₆.₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4+	(C3xC12).20C2^2	144,142
(C₃×C₁₂).₂₁C₂² = C₃×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12).21C2^2	144,163
(C₃×C₁₂).₂₂C₂² = C₃×S₃×Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).22C2^2	144,164
(C₃×C₁₂).₂₃C₂² = C₃×Q₈⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).23C2^2	144,165
(C₃×C₁₂).₂₄C₂² = C₁₂.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	72		(C3xC12).24C2^2	144,173
(C₃×C₁₂).₂₅C₂² = Q₈×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	72		(C3xC12).25C2^2	144,174
(C₃×C₁₂).₂₆C₂² = C₁₂.₂₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	72		(C3xC12).26C2^2	144,175
(C₃×C₁₂).₂₇C₂² = S₃×C₃⋊C₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).27C2^2	144,52
(C₃×C₁₂).₂₈C₂² = C₁₂.₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12).28C2^2	144,53
(C₃×C₁₂).₂₉C₂² = D₆.Dic₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	48	4	(C3xC12).29C2^2	144,54
(C₃×C₁₂).₃₀C₂² = C₁₂.₃₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12).30C2^2	144,55
(C₃×C₁₂).₃₁C₂² = D₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃×C₁₂	24	4	(C3xC12).31C2^2	144,141
(C₃×C₁₂).₃₂C₂² = C₂₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).32C2^2	144,87
(C₃×C₁₂).₃₃C₂² = C₃²⋊₅D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).33C2^2	144,88
(C₃×C₁₂).₃₄C₂² = C₃²⋊₅Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	144		(C3xC12).34C2^2	144,89
(C₃×C₁₂).₃₅C₂² = C₂×C₃²⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	144		(C3xC12).35C2^2	144,168
(C₃×C₁₂).₃₆C₂² = C₁₂.₅₉D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).36C2^2	144,171
(C₃×C₁₂).₃₇C₂² = C₃×C₂₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48	2	(C3xC12).37C2^2	144,71
(C₃×C₁₂).₃₈C₂² = C₃×D₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48	2	(C3xC12).38C2^2	144,72
(C₃×C₁₂).₃₉C₂² = C₃×Dic₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48	2	(C3xC12).39C2^2	144,73
(C₃×C₁₂).₄₀C₂² = C₆×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48		(C3xC12).40C2^2	144,158
(C₃×C₁₂).₄₁C₂² = C₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	24	2	(C3xC12).41C2^2	144,161
(C₃×C₁₂).₄₂C₂² = S₃×C₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48	2	(C3xC12).42C2^2	144,69
(C₃×C₁₂).₄₃C₂² = C₃×C₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48	2	(C3xC12).43C2^2	144,70
(C₃×C₁₂).₄₄C₂² = C₆×C₃⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	48		(C3xC12).44C2^2	144,74
(C₃×C₁₂).₄₅C₂² = C₃×C₄.Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	24	2	(C3xC12).45C2^2	144,75
(C₃×C₁₂).₄₆C₂² = C₈×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).46C2^2	144,85
(C₃×C₁₂).₄₇C₂² = C₂₄⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).47C2^2	144,86
(C₃×C₁₂).₄₈C₂² = C₂×C₃²⋊₄C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	144		(C3xC12).48C2^2	144,90
(C₃×C₁₂).₄₉C₂² = C₁₂.₅₈D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).49C2^2	144,91
(C₃×C₁₂).₅₀C₂² = C₃²×D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).50C2^2	144,106
(C₃×C₁₂).₅₁C₂² = C₃²×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	72		(C3xC12).51C2^2	144,107
(C₃×C₁₂).₅₂C₂² = C₃²×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	144		(C3xC12).52C2^2	144,108
(C₃×C₁₂).₅₃C₂² = Q₈×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃×C₁₂	144		(C3xC12).53C2^2	144,180
(C₃×C₁₂).₅₄C₂² = C₃²×M₄(2)	central extension (φ=1)	72		(C3xC12).54C2^2	144,105
(C₃×C₁₂).₅₅C₂² = C₃²×C₄○D₄	central extension (φ=1)	72		(C3xC12).55C2^2	144,181

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Extensions 1→N→G→Q→1 with N=C3×C12 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃×C₁₂ and Q=C₂²