Extensions 1→N→G→Q→1 with N=C₇⋊C₈ and Q=C₂²

Direct product G=N×Q with N=C₇⋊C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₇⋊C₈		224		C2^2xC7:C8	224,115

Semidirect products G=N:Q with N=C₇⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈⋊₁C₂² = D₈⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₈	56	4	C7:C8:1C2^2	224,106
C₇⋊C₈⋊₂C₂² = D₅₆⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₈	56	4+	C7:C8:2C2^2	224,109
C₇⋊C₈⋊₃C₂² = D₄.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₈	56	4	C7:C8:3C2^2	224,127
C₇⋊C₈⋊₄C₂² = D₄⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₈	56	4+	C7:C8:4C2^2	224,144
C₇⋊C₈⋊₅C₂² = D₇×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	56	4+	C7:C8:5C2^2	224,105
C₇⋊C₈⋊₆C₂² = D₇×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	56	4	C7:C8:6C2^2	224,108
C₇⋊C₈⋊₇C₂² = C₂×D₄⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112		C7:C8:7C2^2	224,126
C₇⋊C₈⋊₈C₂² = C₂×D₄.D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112		C7:C8:8C2^2	224,128
C₇⋊C₈⋊₉C₂² = C₂×Q₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112		C7:C8:9C2^2	224,136
C₇⋊C₈⋊₁₀C₂² = C₂×C₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112		C7:C8:10C2^2	224,95
C₇⋊C₈⋊₁₁C₂² = D₇×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	56	4	C7:C8:11C2^2	224,101
C₇⋊C₈⋊₁₂C₂² = C₂×C₄.Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112		C7:C8:12C2^2	224,116
C₇⋊C₈⋊₁₃C₂² = D₇×C₂×C₈	φ: trivial image	112		C7:C8:13C2^2	224,94

Non-split extensions G=N.Q with N=C₇⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈.₁C₂² = SD₁₆⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₈	112	4-	C7:C8.1C2^2	224,110
C₇⋊C₈.₂C₂² = Q₁₆⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₈	112	4	C7:C8.2C2^2	224,113
C₇⋊C₈.₃C₂² = C₂₈.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₈	112	4	C7:C8.3C2^2	224,137
C₇⋊C₈.₄C₂² = D₄.₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₈	112	4-	C7:C8.4C2^2	224,146
C₇⋊C₈.₅C₂² = D₈⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112	4-	C7:C8.5C2^2	224,107
C₇⋊C₈.₆C₂² = SD₁₆⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.6C2^2	224,111
C₇⋊C₈.₇C₂² = D₇×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112	4-	C7:C8.7C2^2	224,112
C₇⋊C₈.₈C₂² = Q₈.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112	4+	C7:C8.8C2^2	224,114
C₇⋊C₈.₉C₂² = C₂×C₇⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	224		C7:C8.9C2^2	224,138
C₇⋊C₈.₁₀C₂² = D₄.₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.10C2^2	224,145
C₇⋊C₈.₁₁C₂² = D₂₈.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112	2	C7:C8.11C2^2	224,96
C₇⋊C₈.₁₂C₂² = D₂₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.12C2^2	224,102
C₇⋊C₈.₁₃C₂² = Q₈.Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₈	112	4	C7:C8.13C2^2	224,143

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