Extensions 1→N→G→Q→1 with N=C₄×D₄ and Q=D₅

Direct product G=N×Q with N=C₄×D₄ and Q=D₅

		d	ρ	Label	ID
C₄×D₄×D₅		80		C4xD4xD5	320,1216

Semidirect products G=N:Q with N=C₄×D₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄)⋊₁D₅ = C₄×D₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):1D5	320,640
(C₄×D₄)⋊₂D₅ = C₄².₄₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):2D5	320,641
(C₄×D₄)⋊₃D₅ = C₂₀⋊₇D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):3D5	320,642
(C₄×D₄)⋊₄D₅ = D₄.₁D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):4D5	320,643
(C₄×D₄)⋊₅D₅ = C₄².₁₀₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):5D5	320,1210
(C₄×D₄)⋊₆D₅ = C₄².₁₀₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):6D5	320,1212
(C₄×D₄)⋊₇D₅ = C₄²⋊₁₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):7D5	320,1217
(C₄×D₄)⋊₈D₅ = C₄².₁₀₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):8D5	320,1218
(C₄×D₄)⋊₉D₅ = C₄²⋊₁₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):9D5	320,1219
(C₄×D₄)⋊₁₀D₅ = C₄².₂₂₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):10D5	320,1220
(C₄×D₄)⋊₁₁D₅ = D₄×D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):11D5	320,1221
(C₄×D₄)⋊₁₂D₅ = D₂₀⋊₂₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):12D5	320,1222
(C₄×D₄)⋊₁₃D₅ = D₂₀⋊₂₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):13D5	320,1223
(C₄×D₄)⋊₁₄D₅ = Dic₁₀⋊₂₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):14D5	320,1224
(C₄×D₄)⋊₁₅D₅ = Dic₁₀⋊₂₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):15D5	320,1225
(C₄×D₄)⋊₁₆D₅ = D₄⋊₅D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):16D5	320,1226
(C₄×D₄)⋊₁₇D₅ = D₄⋊₆D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):17D5	320,1227
(C₄×D₄)⋊₁₈D₅ = C₄²⋊₁₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):18D5	320,1228
(C₄×D₄)⋊₁₉D₅ = C₄².₂₂₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):19D5	320,1229
(C₄×D₄)⋊₂₀D₅ = C₄².₁₁₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):20D5	320,1230
(C₄×D₄)⋊₂₁D₅ = C₄².₁₁₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):21D5	320,1231
(C₄×D₄)⋊₂₂D₅ = C₄²⋊₁₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	80	(C4xD4):22D5	320,1232
(C₄×D₄)⋊₂₃D₅ = C₄².₁₁₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):23D5	320,1233
(C₄×D₄)⋊₂₄D₅ = C₄².₁₁₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):24D5	320,1234
(C₄×D₄)⋊₂₅D₅ = C₄².₁₁₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):25D5	320,1235
(C₄×D₄)⋊₂₆D₅ = C₄².₁₁₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):26D5	320,1236
(C₄×D₄)⋊₂₇D₅ = C₄².₁₁₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4):27D5	320,1237
(C₄×D₄)⋊₂₈D₅ = C₄×D₄⋊₂D₅	φ: trivial image	160	(C4xD4):28D5	320,1208

Non-split extensions G=N.Q with N=C₄×D₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄).₁D₅ = C₂₀.₅₇D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).1D5	320,92
(C₄×D₄).₂D₅ = C₂₀.₅₀D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).2D5	320,634
(C₄×D₄).₃D₅ = C₂₀.₃₈SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).3D5	320,635
(C₄×D₄).₄D₅ = D₄.₃Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).4D5	320,636
(C₄×D₄).₅D₅ = C₄².₄₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).5D5	320,638
(C₄×D₄).₆D₅ = C₂₀⋊₇M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).6D5	320,639
(C₄×D₄).₇D₅ = C₄×D₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).7D5	320,644
(C₄×D₄).₈D₅ = C₄².₅₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).8D5	320,645
(C₄×D₄).₉D₅ = D₄.₂D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).9D5	320,646
(C₄×D₄).₁₀D₅ = D₄×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).10D5	320,1209
(C₄×D₄).₁₁D₅ = D₄⋊₅Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).11D5	320,1211
(C₄×D₄).₁₂D₅ = C₄².₁₀₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).12D5	320,1213
(C₄×D₄).₁₃D₅ = C₄².₁₀₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).13D5	320,1214
(C₄×D₄).₁₄D₅ = D₄⋊₆Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×D₄	160	(C4xD4).14D5	320,1215
(C₄×D₄).₁₅D₅ = D₄×C₅⋊₂C₈	φ: trivial image	160	(C4xD4).15D5	320,637

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Extensions 1→N→G→Q→1 with N=C4×D4 and Q=D5

Extensions 1→N→G→Q→1 with N=C₄×D₄ and Q=D₅