Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₂²

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₂²⋊C₄		32		C2^2xC2^2:C4	64,193

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₂² = C₂≀C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	8	4+	C2^2:C4:1C2^2	64,138
C₂²⋊C₄⋊₂C₂² = C₂³.₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16	4	C2^2:C4:2C2^2	64,139
C₂²⋊C₄⋊₃C₂² = C₂³⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:3C2^2	64,215
C₂²⋊C₄⋊₄C₂² = C₂².₂₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:4C2^2	64,216
C₂²⋊C₄⋊₅C₂² = C₂².₃₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:5C2^2	64,219
C₂²⋊C₄⋊₆C₂² = D₄²	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:6C2^2	64,226
C₂²⋊C₄⋊₇C₂² = D₄⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:7C2^2	64,227
C₂²⋊C₄⋊₈C₂² = C₂².₄₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:8C2^2	64,232
C₂²⋊C₄⋊₉C₂² = C₂².₅₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:9C2^2	64,241
C₂²⋊C₄⋊₁₀C₂² = C₂⁴⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	16		C2^2:C4:10C2^2	64,242
C₂²⋊C₄⋊₁₁C₂² = C₂×C₂³⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	16		C2^2:C4:11C2^2	64,90
C₂²⋊C₄⋊₁₂C₂² = C₂×C₂²≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	16		C2^2:C4:12C2^2	64,202
C₂²⋊C₄⋊₁₃C₂² = C₂×C₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:13C2^2	64,203
C₂²⋊C₄⋊₁₄C₂² = C₂×C₂².D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:14C2^2	64,205
C₂²⋊C₄⋊₁₅C₂² = C₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	16		C2^2:C4:15C2^2	64,206
C₂²⋊C₄⋊₁₆C₂² = C₂×C₄.₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4:16C2^2	64,207
C₂²⋊C₄⋊₁₇C₂² = C₂×C₄×D₄	φ: trivial image	32		C2^2:C4:17C2^2	64,196
C₂²⋊C₄⋊₁₈C₂² = C₂².₁₁C₂⁴	φ: trivial image	16		C2^2:C4:18C2^2	64,199

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₂² = C₂³.₃₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.1C2^2	64,217
C₂²⋊C₄.₂C₂² = C₂².₃₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.2C2^2	64,218
C₂²⋊C₄.₃C₂² = C₂².₃₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.3C2^2	64,221
C₂²⋊C₄.₄C₂² = C₂².₃₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.4C2^2	64,223
C₂²⋊C₄.₅C₂² = D₄⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.5C2^2	64,228
C₂²⋊C₄.₆C₂² = Q₈⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.6C2^2	64,229
C₂²⋊C₄.₇C₂² = C₂².₅₀C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.7C2^2	64,237
C₂²⋊C₄.₈C₂² = C₂².₅₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.8C2^2	64,243
C₂²⋊C₄.₉C₂² = C₂².₅₇C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²⋊C₄	32		C2^2:C4.9C2^2	64,244
C₂²⋊C₄.₁₀C₂² = C₂³.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	16	4	C2^2:C4.10C2^2	64,91
C₂²⋊C₄.₁₁C₂² = C₂×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.11C2^2	64,204
C₂²⋊C₄.₁₂C₂² = C₂×C₄²⋊₂C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.12C2^2	64,209
C₂²⋊C₄.₁₃C₂² = C₂³.₃₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.13C2^2	64,210
C₂²⋊C₄.₁₄C₂² = C₂².₂₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.14C2^2	64,213
C₂²⋊C₄.₁₅C₂² = C₂³.₃₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.15C2^2	64,214
C₂²⋊C₄.₁₆C₂² = C₂².₃₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.16C2^2	64,220
C₂²⋊C₄.₁₇C₂² = C₂².₃₅C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.17C2^2	64,222
C₂²⋊C₄.₁₈C₂² = C₂³⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	16		C2^2:C4.18C2^2	64,224
C₂²⋊C₄.₁₉C₂² = C₂³.₄₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.19C2^2	64,225
C₂²⋊C₄.₂₀C₂² = D₄×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.20C2^2	64,230
C₂²⋊C₄.₂₁C₂² = Q₈⋊₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.21C2^2	64,231
C₂²⋊C₄.₂₂C₂² = C₂².₄₇C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.22C2^2	64,234
C₂²⋊C₄.₂₃C₂² = D₄⋊₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.23C2^2	64,235
C₂²⋊C₄.₂₄C₂² = C₂².₄₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.24C2^2	64,236
C₂²⋊C₄.₂₅C₂² = C₂².₅₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊C₄	32		C2^2:C4.25C2^2	64,240
C₂²⋊C₄.₂₆C₂² = C₂×C₄²⋊C₂	φ: trivial image	32		C2^2:C4.26C2^2	64,195
C₂²⋊C₄.₂₇C₂² = C₄×C₄○D₄	φ: trivial image	32		C2^2:C4.27C2^2	64,198
C₂²⋊C₄.₂₈C₂² = C₂³.₃₂C₂³	φ: trivial image	32		C2^2:C4.28C2^2	64,200
C₂²⋊C₄.₂₉C₂² = C₂³.₃₃C₂³	φ: trivial image	32		C2^2:C4.29C2^2	64,201
C₂²⋊C₄.₃₀C₂² = C₂².₄₆C₂⁴	φ: trivial image	32		C2^2:C4.30C2^2	64,233

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Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₂²