Extensions 1→N→G→Q→1 with N=C₄²⋊C₂ and Q=D₅

Direct product G=N×Q with N=C₄²⋊C₂ and Q=D₅

		d	ρ	Label	ID
D₅×C₄²⋊C₂		80		D5xC4^2:C2	320,1192

Semidirect products G=N:Q with N=C₄²⋊C₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₂⋊₁D₅ = C₄⋊C₄⋊₃₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:1D5	320,628
C₄²⋊C₂⋊₂D₅ = C₄○D₂₀⋊₁₀C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:2D5	320,629
C₄²⋊C₂⋊₃D₅ = C₄⋊C₄.₂₃₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:3D5	320,630
C₄²⋊C₂⋊₄D₅ = C₄²⋊₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80	4	C4^2:C2:4D5	320,632
C₄²⋊C₂⋊₅D₅ = (C₂×D₂₀)⋊₂₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80	4	C4^2:C2:5D5	320,633
C₄²⋊C₂⋊₆D₅ = C₄²⋊₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:6D5	320,1193
C₄²⋊C₂⋊₇D₅ = C₄².₉₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:7D5	320,1195
C₄²⋊C₂⋊₈D₅ = C₄²⋊₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:8D5	320,1196
C₄²⋊C₂⋊₉D₅ = C₄²⋊₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:9D5	320,1197
C₄²⋊C₂⋊₁₀D₅ = C₄².₉₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:10D5	320,1198
C₄²⋊C₂⋊₁₁D₅ = C₄²⋊₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:11D5	320,1199
C₄²⋊C₂⋊₁₂D₅ = C₄².₉₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:12D5	320,1200
C₄²⋊C₂⋊₁₃D₅ = C₄².₉₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:13D5	320,1201
C₄²⋊C₂⋊₁₄D₅ = C₄².₉₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:14D5	320,1202
C₄²⋊C₂⋊₁₅D₅ = C₄².₉₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:15D5	320,1203
C₄²⋊C₂⋊₁₆D₅ = C₄².₉₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:16D5	320,1204
C₄²⋊C₂⋊₁₇D₅ = C₄².₉₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:17D5	320,1205
C₄²⋊C₂⋊₁₈D₅ = C₄².₉₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:18D5	320,1206
C₄²⋊C₂⋊₁₉D₅ = C₄².₁₀₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:19D5	320,1207
C₄²⋊C₂⋊₂₀D₅ = C₄².₁₈₈D₁₀	φ: trivial image	160		C4^2:C2:20D5	320,1194

Non-split extensions G=N.Q with N=C₄²⋊C₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₂.₁D₅ = C₄²⋊₁Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80	4	C4^2:C2.1D5	320,89
C₄²⋊C₂.₂D₅ = C₂₀.₃₂C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2.2D5	320,90
C₄²⋊C₂.₃D₅ = C₂₀.₆₀(C₄⋊C₄)	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	80	4	C4^2:C2.3D5	320,91
C₄²⋊C₂.₄D₅ = C₂₀.₆₄(C₄⋊C₄)	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.4D5	320,622
C₄²⋊C₂.₅D₅ = C₄⋊C₄.₂₃₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.5D5	320,623
C₄²⋊C₂.₆D₅ = C₂₀.₇₆(C₄⋊C₄)	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.6D5	320,625
C₄²⋊C₂.₇D₅ = C₄².₄₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.7D5	320,626
C₄²⋊C₂.₈D₅ = C₄².₁₈₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.8D5	320,627
C₄²⋊C₂.₉D₅ = C₄.(C₂×D₂₀)	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.9D5	320,631
C₄²⋊C₂.₁₀D₅ = C₄².₈₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.10D5	320,1188
C₄²⋊C₂.₁₁D₅ = C₄².₈₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.11D5	320,1189
C₄²⋊C₂.₁₂D₅ = C₄².₈₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.12D5	320,1190
C₄²⋊C₂.₁₃D₅ = C₄².₉₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.13D5	320,1191
C₄²⋊C₂.₁₄D₅ = C₂₀.₃₅C₄²	φ: trivial image	160		C4^2:C2.14D5	320,624

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Extensions 1→N→G→Q→1 with N=C42⋊C2 and Q=D5

Extensions 1→N→G→Q→1 with N=C₄²⋊C₂ and Q=D₅