Extensions 1→N→G→Q→1 with N=D₃₆ and Q=C₂²

Direct product G=N×Q with N=D₃₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₃₆		144		C2^2xD36	288,354

Semidirect products G=N:Q with N=D₃₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆⋊₁C₂² = D₈×D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₃₆	72	4+	D36:1C2^2	288,120
D₃₆⋊₂C₂² = D₇₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₃₆	72	4+	D36:2C2^2	288,124
D₃₆⋊₃C₂² = C₂×D₇₂	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144		D36:3C2^2	288,114
D₃₆⋊₄C₂² = C₈⋊D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	72	4+	D36:4C2^2	288,118
D₃₆⋊₅C₂² = C₂×D₄⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144		D36:5C2^2	288,142
D₃₆⋊₆C₂² = D₃₆⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	72	4	D36:6C2^2	288,143
D₃₆⋊₇C₂² = C₂×D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	72		D36:7C2^2	288,356
D₃₆⋊₈C₂² = D₄⋊₆D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	72	4	D36:8C2^2	288,358
D₃₆⋊₉C₂² = C₂×Q₈⋊₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144		D36:9C2^2	288,360
D₃₆⋊₁₀C₂² = C₄○D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	72	4	D36:10C2^2	288,362
D₃₆⋊₁₁C₂² = D₄⋊₈D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	72	4+	D36:11C2^2	288,363
D₃₆⋊₁₂C₂² = C₂×D₃₆⋊₅C₂	φ: trivial image	144		D36:12C2^2	288,355

Non-split extensions G=N.Q with N=D₃₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆.₁C₂² = D₈⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₃₆	72	4	D36.1C2^2	288,121
D₃₆.₂C₂² = SD₁₆×D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₃₆	72	4	D36.2C2^2	288,123
D₃₆.₃C₂² = SD₁₆⋊₃D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₃₆	144	4	D36.3C2^2	288,126
D₃₆.₄C₂² = Q₁₆⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₃₆	144	4	D36.4C2^2	288,128
D₃₆.₅C₂² = D₇₂⋊₅C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₃₆	144	4+	D36.5C2^2	288,129
D₃₆.₆C₂² = C₂×C₇₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144		D36.6C2^2	288,113
D₃₆.₇C₂² = D₇₂⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144	2	D36.7C2^2	288,115
D₃₆.₈C₂² = C₈.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144	4-	D36.8C2^2	288,119
D₃₆.₉C₂² = C₂×Q₈⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144		D36.9C2^2	288,152
D₃₆.₁₀C₂² = C₃₆.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144	4	D36.10C2^2	288,153
D₃₆.₁₁C₂² = D₄⋊D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	72	4+	D36.11C2^2	288,160
D₃₆.₁₂C₂² = D₄.₉D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144	4	D36.12C2^2	288,161
D₃₆.₁₃C₂² = Q₈.₁₅D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₃₆	144	4	D36.13C2^2	288,361
D₃₆.₁₄C₂² = D₄.₁₀D₁₈	φ: trivial image	144	4-	D36.14C2^2	288,364

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