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

Direct product G=N×Q with N=C₉⋊C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₉⋊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 = D₈×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₈	72	4+	C9:C8:5C2^2	288,120
C₉⋊C₈⋊₆C₂² = SD₁₆×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₈	72	4	C9:C8:6C2^2	288,123
C₉⋊C₈⋊₇C₂² = C₂×D₄.D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₈	144		C9:C8:7C2^2	288,141
C₉⋊C₈⋊₈C₂² = C₂×D₄⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₈	144		C9:C8:8C2^2	288,142
C₉⋊C₈⋊₉C₂² = C₂×Q₈⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₈	144		C9:C8:9C2^2	288,152
C₉⋊C₈⋊₁₀C₂² = C₂×C₈⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₈	144		C9:C8:10C2^2	288,111
C₉⋊C₈⋊₁₁C₂² = M₄(2)×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₈	72	4	C9:C8:11C2^2	288,116
C₉⋊C₈⋊₁₂C₂² = C₂×C₄.Dic₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉⋊C₈	144		C9:C8:12C2^2	288,131
C₉⋊C₈⋊₁₃C₂² = C₂×C₈×D₉	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 = Q₁₆×D₉	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 = C₂×C₉⋊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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