Extensions 1→N→G→Q→1 with N=C₉:C₈ and Q=C₂²

Direct product G=NxQ with N=C₉:C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₉:C₈		288		C2^2xC9:C8	288,130

Semidirect products G=N:Q with N=C₉:C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₉:C₈:₁C₂² = D₈:D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₉:C₈	72	4	C9:C8:1C2^2	288,121
C₉:C₈:₂C₂² = D₇₂:C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₉:C₈	72	4+	C9:C8:2C2^2	288,124
C₉:C₈:₃C₂² = D₃₆:₆C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₉:C₈	72	4	C9:C8:3C2^2	288,143
C₉:C₈:₄C₂² = D₄:D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₉:C₈	72	4+	C9:C8:4C2^2	288,160
C₉:C₈:₅C₂² = D₈xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	72	4+	C9:C8:5C2^2	288,120
C₉:C₈:₆C₂² = SD₁₆xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	72	4	C9:C8:6C2^2	288,123
C₉:C₈:₇C₂² = C₂xD₄.D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144		C9:C8:7C2^2	288,141
C₉:C₈:₈C₂² = C₂xD₄:D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144		C9:C8:8C2^2	288,142
C₉:C₈:₉C₂² = C₂xQ₈:₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144		C9:C8:9C2^2	288,152
C₉:C₈:₁₀C₂² = C₂xC₈:D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144		C9:C8:10C2^2	288,111
C₉:C₈:₁₁C₂² = M₄(2)xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	72	4	C9:C8:11C2^2	288,116
C₉:C₈:₁₂C₂² = C₂xC₄.Dic₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144		C9:C8:12C2^2	288,131
C₉:C₈:₁₃C₂² = C₂xC₈xD₉	φ: trivial image	144		C9:C8:13C2^2	288,110

Non-split extensions G=N.Q with N=C₉:C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₉:C₈.₁C₂² = SD₁₆:D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₉:C₈	144	4-	C9:C8.1C2^2	288,125
C₉:C₈.₂C₂² = Q₁₆:D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₉:C₈	144	4	C9:C8.2C2^2	288,128
C₉:C₈.₃C₂² = C₃₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₉:C₈	144	4	C9:C8.3C2^2	288,153
C₉:C₈.₄C₂² = D₄.D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₉:C₈	144	4-	C9:C8.4C2^2	288,159
C₉:C₈.₅C₂² = D₈:₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144	4-	C9:C8.5C2^2	288,122
C₉:C₈.₆C₂² = SD₁₆:₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144	4	C9:C8.6C2^2	288,126
C₉:C₈.₇C₂² = Q₁₆xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144	4-	C9:C8.7C2^2	288,127
C₉:C₈.₈C₂² = D₇₂:₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144	4+	C9:C8.8C2^2	288,129
C₉:C₈.₉C₂² = C₂xC₉:Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	288		C9:C8.9C2^2	288,151
C₉:C₈.₁₀C₂² = D₄.₉D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144	4	C9:C8.10C2^2	288,161
C₉:C₈.₁₁C₂² = D₃₆.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144	2	C9:C8.11C2^2	288,112
C₉:C₈.₁₂C₂² = D₃₆.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144	4	C9:C8.12C2^2	288,117
C₉:C₈.₁₃C₂² = D₄.Dic₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉:C₈	144	4	C9:C8.13C2^2	288,158

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