Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₂²

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₂²

		d	ρ	Label	ID
C₂³×Dic₃		96		C2^3xDic3	96,218

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁C₂² = D₆⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	24		(C2xDic3):1C2^2	96,89
(C₂×Dic₃)⋊₂C₂² = C₂³⋊₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	24		(C2xDic3):2C2^2	96,144
(C₂×Dic₃)⋊₃C₂² = C₂⁴⋊₄S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	24		(C2xDic3):3C2^2	96,160
(C₂×Dic₃)⋊₄C₂² = D₄⋊₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	24	4	(C2xDic3):4C2^2	96,211
(C₂×Dic₃)⋊₅C₂² = S₃×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):5C2^2	96,87
(C₂×Dic₃)⋊₆C₂² = C₂×D₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):6C2^2	96,134
(C₂×Dic₃)⋊₇C₂² = C₂×C₆.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):7C2^2	96,159
(C₂×Dic₃)⋊₈C₂² = C₂×S₃×D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):8C2^2	96,209
(C₂×Dic₃)⋊₉C₂² = C₂×D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):9C2^2	96,210
(C₂×Dic₃)⋊₁₀C₂² = S₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	24	4	(C2xDic3):10C2^2	96,215
(C₂×Dic₃)⋊₁₁C₂² = C₂²×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):11C2^2	96,219
(C₂×Dic₃)⋊₁₂C₂² = S₃×C₂²×C₄	φ: trivial image	48		(C2xDic3):12C2^2	96,206

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁C₂² = C₁₂⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	96		(C2xDic3).1C2^2	96,76
(C₂×Dic₃).₂C₂² = C₁₂.₆Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	96		(C2xDic3).2C2^2	96,77
(C₂×Dic₃).₃C₂² = C₄²⋊₇S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).3C2^2	96,82
(C₂×Dic₃).₄C₂² = C₄²⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).4C2^2	96,83
(C₂×Dic₃).₅C₂² = Dic₃.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).5C2^2	96,85
(C₂×Dic₃).₆C₂² = C₂³.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).6C2^2	96,90
(C₂×Dic₃).₇C₂² = Dic₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).7C2^2	96,91
(C₂×Dic₃).₈C₂² = C₁₂⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	96		(C2xDic3).8C2^2	96,95
(C₂×Dic₃).₉C₂² = Dic₃.Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	96		(C2xDic3).9C2^2	96,96
(C₂×Dic₃).₁₀C₂² = C₄.Dic₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	96		(C2xDic3).10C2^2	96,97
(C₂×Dic₃).₁₁C₂² = D₆.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).11C2^2	96,101
(C₂×Dic₃).₁₂C₂² = D₆⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).12C2^2	96,103
(C₂×Dic₃).₁₃C₂² = C₄.D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).13C2^2	96,104
(C₂×Dic₃).₁₄C₂² = C₁₂.₄₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).14C2^2	96,131
(C₂×Dic₃).₁₅C₂² = C₂³.₂₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).15C2^2	96,136
(C₂×Dic₃).₁₆C₂² = C₁₂⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).16C2^2	96,137
(C₂×Dic₃).₁₇C₂² = C₂³.₂₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).17C2^2	96,142
(C₂×Dic₃).₁₈C₂² = C₂³.₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).18C2^2	96,143
(C₂×Dic₃).₁₉C₂² = D₆⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).19C2^2	96,145
(C₂×Dic₃).₂₀C₂² = Dic₃⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	96		(C2xDic3).20C2^2	96,151
(C₂×Dic₃).₂₁C₂² = D₆⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48		(C2xDic3).21C2^2	96,153
(C₂×Dic₃).₂₂C₂² = Q₈○D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₃	48	4-	(C2xDic3).22C2^2	96,217
(C₂×Dic₃).₂₃C₂² = C₄×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).23C2^2	96,75
(C₂×Dic₃).₂₄C₂² = C₄²⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).24C2^2	96,79
(C₂×Dic₃).₂₅C₂² = C₄×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).25C2^2	96,80
(C₂×Dic₃).₂₆C₂² = C₂³.₈D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).26C2^2	96,86
(C₂×Dic₃).₂₇C₂² = C₂³.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).27C2^2	96,92
(C₂×Dic₃).₂₈C₂² = C₂³.₂₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).28C2^2	96,93
(C₂×Dic₃).₂₉C₂² = S₃×C₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).29C2^2	96,98
(C₂×Dic₃).₃₀C₂² = C₄⋊C₄⋊₇S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).30C2^2	96,99
(C₂×Dic₃).₃₁C₂² = C₁₂⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).31C2^2	96,102
(C₂×Dic₃).₃₂C₂² = C₄⋊C₄⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).32C2^2	96,105
(C₂×Dic₃).₃₃C₂² = C₂×Dic₃⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).33C2^2	96,130
(C₂×Dic₃).₃₄C₂² = C₂×C₄⋊Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).34C2^2	96,132
(C₂×Dic₃).₃₅C₂² = C₂³.₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).35C2^2	96,133
(C₂×Dic₃).₃₆C₂² = C₄×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).36C2^2	96,135
(C₂×Dic₃).₃₇C₂² = D₄×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).37C2^2	96,141
(C₂×Dic₃).₃₈C₂² = C₂³.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).38C2^2	96,146
(C₂×Dic₃).₃₉C₂² = C₁₂⋊₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).39C2^2	96,147
(C₂×Dic₃).₄₀C₂² = Q₈×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).40C2^2	96,152
(C₂×Dic₃).₄₁C₂² = C₁₂.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).41C2^2	96,154
(C₂×Dic₃).₄₂C₂² = C₂²×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).42C2^2	96,205
(C₂×Dic₃).₄₃C₂² = C₂×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).43C2^2	96,208
(C₂×Dic₃).₄₄C₂² = C₂×S₃×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).44C2^2	96,212
(C₂×Dic₃).₄₅C₂² = S₃×C₄²	φ: trivial image	48		(C2xDic3).45C2^2	96,78
(C₂×Dic₃).₄₆C₂² = C₂³.₁₆D₆	φ: trivial image	48		(C2xDic3).46C2^2	96,84
(C₂×Dic₃).₄₇C₂² = Dic₃⋊₄D₄	φ: trivial image	48		(C2xDic3).47C2^2	96,88
(C₂×Dic₃).₄₈C₂² = Dic₆⋊C₄	φ: trivial image	96		(C2xDic3).48C2^2	96,94
(C₂×Dic₃).₄₉C₂² = Dic₃⋊₅D₄	φ: trivial image	48		(C2xDic3).49C2^2	96,100
(C₂×Dic₃).₅₀C₂² = C₂×C₄×Dic₃	φ: trivial image	96		(C2xDic3).50C2^2	96,129
(C₂×Dic₃).₅₁C₂² = C₂×Q₈⋊₃S₃	φ: trivial image	48		(C2xDic3).51C2^2	96,213

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Extensions 1→N→G→Q→1 with N=C2×Dic3 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₂²