Extensions 1→N→G→Q→1 with N=C₂×He₃ and Q=D₄

Direct product G=N×Q with N=C₂×He₃ and Q=D₄

		d	ρ	Label	ID
C₂×D₄×He₃		72		C2xD4xHe3	432,404

Semidirect products G=N:Q with N=C₂×He₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊D₄ = C₂×He₃⋊D₄	φ: D₄/C₁ → D₄ ⊆ Out C₂×He₃	36	6+	(C2xHe3):D4	432,530
(C₂×He₃)⋊₂D₄ = C₂×He₃⋊₂D₄	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72		(C2xHe3):2D4	432,320
(C₂×He₃)⋊₃D₄ = C₂×He₃⋊₃D₄	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72		(C2xHe3):3D4	432,322
(C₂×He₃)⋊₄D₄ = C₂×He₃⋊₄D₄	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	72		(C2xHe3):4D4	432,350
(C₂×He₃)⋊₅D₄ = C₂×He₃⋊₅D₄	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	72		(C2xHe3):5D4	432,386
(C₂×He₃)⋊₆D₄ = C₂×He₃⋊₆D₄	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72		(C2xHe3):6D4	432,377
(C₂×He₃)⋊₇D₄ = C₂×He₃⋊₇D₄	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72		(C2xHe3):7D4	432,399

Non-split extensions G=N.Q with N=C₂×He₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).₁D₄ = He₃⋊₂SD₁₆	φ: D₄/C₁ → D₄ ⊆ Out C₂×He₃	72	6	(C2xHe3).1D4	432,234
(C₂×He₃).₂D₄ = He₃⋊D₈	φ: D₄/C₁ → D₄ ⊆ Out C₂×He₃	72	6+	(C2xHe3).2D4	432,235
(C₂×He₃).₃D₄ = He₃⋊Q₁₆	φ: D₄/C₁ → D₄ ⊆ Out C₂×He₃	144	6-	(C2xHe3).3D4	432,236
(C₂×He₃).₄D₄ = C₆.S₃≀C₂	φ: D₄/C₁ → D₄ ⊆ Out C₂×He₃	72	6-	(C2xHe3).4D4	432,237
(C₂×He₃).₅D₄ = C₃²⋊D₆⋊C₄	φ: D₄/C₁ → D₄ ⊆ Out C₂×He₃	36	6	(C2xHe3).5D4	432,238
(C₂×He₃).₆D₄ = He₃⋊₃SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72	6	(C2xHe3).6D4	432,78
(C₂×He₃).₇D₄ = He₃⋊₂D₈	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72	6+	(C2xHe3).7D4	432,79
(C₂×He₃).₈D₄ = He₃⋊₂Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	144	6-	(C2xHe3).8D4	432,80
(C₂×He₃).₉D₄ = He₃⋊₃D₈	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72	12+	(C2xHe3).9D4	432,83
(C₂×He₃).₁₀D₄ = He₃⋊₄SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72	12-	(C2xHe3).10D4	432,84
(C₂×He₃).₁₁D₄ = He₃⋊₅SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72	12+	(C2xHe3).11D4	432,85
(C₂×He₃).₁₂D₄ = He₃⋊₃Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	144	12-	(C2xHe3).12D4	432,86
(C₂×He₃).₁₃D₄ = C₆².D₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	144		(C2xHe3).13D4	432,95
(C₂×He₃).₁₄D₄ = C₆².₃D₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	144		(C2xHe3).14D4	432,96
(C₂×He₃).₁₅D₄ = C₆².₄D₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72		(C2xHe3).15D4	432,97
(C₂×He₃).₁₆D₄ = C₆².₅D₆	φ: D₄/C₂ → C₂² ⊆ Out C₂×He₃	72		(C2xHe3).16D4	432,98
(C₂×He₃).₁₇D₄ = He₃⋊₄Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	144	6-	(C2xHe3).17D4	432,114
(C₂×He₃).₁₈D₄ = He₃⋊₆SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	72	6	(C2xHe3).18D4	432,117
(C₂×He₃).₁₉D₄ = He₃⋊₄D₈	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	72	6+	(C2xHe3).19D4	432,118
(C₂×He₃).₂₀D₄ = C₆².₂₀D₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3).20D4	432,140
(C₂×He₃).₂₁D₄ = C₆².₂₁D₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	72		(C2xHe3).21D4	432,141
(C₂×He₃).₂₂D₄ = He₃⋊₇SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	72	6	(C2xHe3).22D4	432,175
(C₂×He₃).₂₃D₄ = He₃⋊₅D₈	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	72	6	(C2xHe3).23D4	432,176
(C₂×He₃).₂₄D₄ = He₃⋊₅Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	144	6	(C2xHe3).24D4	432,177
(C₂×He₃).₂₅D₄ = C₆².₃₀D₆	φ: D₄/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3).25D4	432,188
(C₂×He₃).₂₆D₄ = C₆².₁₉D₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	144		(C2xHe3).26D4	432,139
(C₂×He₃).₂₇D₄ = He₃⋊₈SD₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72	12-	(C2xHe3).27D4	432,152
(C₂×He₃).₂₈D₄ = He₃⋊₆D₈	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72	12+	(C2xHe3).28D4	432,153
(C₂×He₃).₂₉D₄ = He₃⋊₆Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	144	12-	(C2xHe3).29D4	432,160
(C₂×He₃).₃₀D₄ = He₃⋊₁₀SD₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72	12+	(C2xHe3).30D4	432,161
(C₂×He₃).₃₁D₄ = C₆²⋊₃C₁₂	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72		(C2xHe3).31D4	432,166
(C₂×He₃).₃₂D₄ = C₆².₂₉D₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	144		(C2xHe3).32D4	432,187
(C₂×He₃).₃₃D₄ = C₆².₃₁D₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72		(C2xHe3).33D4	432,189
(C₂×He₃).₃₄D₄ = He₃⋊₇D₈	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72	6	(C2xHe3).34D4	432,192
(C₂×He₃).₃₅D₄ = He₃⋊₉SD₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72	6	(C2xHe3).35D4	432,193
(C₂×He₃).₃₆D₄ = He₃⋊₁₁SD₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72	6	(C2xHe3).36D4	432,196
(C₂×He₃).₃₇D₄ = He₃⋊₇Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	144	6	(C2xHe3).37D4	432,197
(C₂×He₃).₃₈D₄ = C₆²⋊₄Dic₃	φ: D₄/C₂² → C₂ ⊆ Out C₂×He₃	72		(C2xHe3).38D4	432,199
(C₂×He₃).₃₉D₄ = C₂²⋊C₄×He₃	φ: trivial image	72		(C2xHe3).39D4	432,204
(C₂×He₃).₄₀D₄ = C₄⋊C₄×He₃	φ: trivial image	144		(C2xHe3).40D4	432,207
(C₂×He₃).₄₁D₄ = D₈×He₃	φ: trivial image	72	6	(C2xHe3).41D4	432,216
(C₂×He₃).₄₂D₄ = SD₁₆×He₃	φ: trivial image	72	6	(C2xHe3).42D4	432,219
(C₂×He₃).₄₃D₄ = Q₁₆×He₃	φ: trivial image	144	6	(C2xHe3).43D4	432,222

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Extensions 1→N→G→Q→1 with N=C2×He3 and Q=D4

Extensions 1→N→G→Q→1 with N=C₂×He₃ and Q=D₄