Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=Q₈

Direct product G=N×Q with N=C₂²⋊C₄ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₂²⋊C₄		64		Q8xC2^2:C4	128,1072

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=Q₈

extension	φ:Q→Out N	d	Label	ID
C₂²⋊C₄⋊₁Q₈ = C₂⁴.₁₈₂C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	32	C2^2:C4:1Q8	128,794
C₂²⋊C₄⋊₂Q₈ = C₂⁴.₃₈₅C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64	C2^2:C4:2Q8	128,1409
C₂²⋊C₄⋊₃Q₈ = C₂⁴.₄₀₈C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64	C2^2:C4:3Q8	128,1436
C₂²⋊C₄⋊₄Q₈ = C₂³.₆₂₀C₂⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64	C2^2:C4:4Q8	128,1452
C₂²⋊C₄⋊₅Q₈ = C₂⁴.₄₂₁C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64	C2^2:C4:5Q8	128,1461
C₂²⋊C₄⋊₆Q₈ = C₂⁴.₄₂₈C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64	C2^2:C4:6Q8	128,1474
C₂²⋊C₄⋊₇Q₈ = C₂³.₆₆₃C₂⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64	C2^2:C4:7Q8	128,1495
C₂²⋊C₄⋊₈Q₈ = C₂³.₆₈₈C₂⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64	C2^2:C4:8Q8	128,1520
C₂²⋊C₄⋊₉Q₈ = C₂⁴.₁₇₆C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	32	C2^2:C4:9Q8	128,728
C₂²⋊C₄⋊₁₀Q₈ = C₂³.₃₂₃C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:10Q8	128,1155
C₂²⋊C₄⋊₁₁Q₈ = C₂³.₃₂₉C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:11Q8	128,1161
C₂²⋊C₄⋊₁₂Q₈ = C₂³.₃₃₄C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:12Q8	128,1166
C₂²⋊C₄⋊₁₃Q₈ = C₂⁴.₅₆₈C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:13Q8	128,1172
C₂²⋊C₄⋊₁₄Q₈ = C₂⁴.₂₈₅C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:14Q8	128,1197
C₂²⋊C₄⋊₁₅Q₈ = C₂³.₃₉₂C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:15Q8	128,1224
C₂²⋊C₄⋊₁₆Q₈ = C₂³.₄₀₂C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:16Q8	128,1234
C₂²⋊C₄⋊₁₇Q₈ = C₂³.₄₄₉C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:17Q8	128,1281
C₂²⋊C₄⋊₁₈Q₈ = C₂³.₄₅₆C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:18Q8	128,1288
C₂²⋊C₄⋊₁₉Q₈ = C₂⁴.₃₃₈C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:19Q8	128,1306
C₂²⋊C₄⋊₂₀Q₈ = C₂³.₄₈₃C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:20Q8	128,1315
C₂²⋊C₄⋊₂₁Q₈ = C₂⁴.₃₄₆C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64	C2^2:C4:21Q8	128,1321
C₂²⋊C₄⋊₂₂Q₈ = C₂⁴.₅₅₈C₂³	φ: trivial image	64	C2^2:C4:22Q8	128,1092
C₂²⋊C₄⋊₂₃Q₈ = C₂³.₂₅₀C₂⁴	φ: trivial image	64	C2^2:C4:23Q8	128,1100

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁Q₈ = C₂²⋊C₄.Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	32	4	C2^2:C4.1Q8	128,835
C₂²⋊C₄.₂Q₈ = C₂³.₆₆₈C₂⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.2Q8	128,1500
C₂²⋊C₄.₃Q₈ = C₂⁴.₄₅₄C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.3Q8	128,1522
C₂²⋊C₄.₄Q₈ = C₂³.₇₀₇C₂⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂²⋊C₄	64		C2^2:C4.4Q8	128,1539
C₂²⋊C₄.₅Q₈ = M₄(2).₂₇D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	32	4	C2^2:C4.5Q8	128,685
C₂²⋊C₄.₆Q₈ = C₂⁴.₅₇₂C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.6Q8	128,1205
C₂²⋊C₄.₇Q₈ = C₂³.₃₉₇C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.7Q8	128,1229
C₂²⋊C₄.₈Q₈ = C₂³.₄₀₅C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.8Q8	128,1237
C₂²⋊C₄.₉Q₈ = C₂³.₄₂₂C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.9Q8	128,1254
C₂²⋊C₄.₁₀Q₈ = C₂⁴.₃₄₅C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂²⋊C₄	64		C2^2:C4.10Q8	128,1319
C₂²⋊C₄.₁₁Q₈ = C₂³.₂₂₇C₂⁴	φ: trivial image	64		C2^2:C4.11Q8	128,1077

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Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=Q₈