Extensions 1→N→G→Q→1 with N=C₃₆ and Q=C₂³

Direct product G=N×Q with N=C₃₆ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₃₆		288		C2^3xC36	288,367

Semidirect products G=N:Q with N=C₃₆ and Q=C₂³

extension	φ:Q→Aut N	d	Label	ID
C₃₆⋊C₂³ = C₂×D₄×D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	C36:C2^3	288,356
C₃₆⋊₂C₂³ = C₂²×D₃₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	C36:2C2^3	288,354
C₃₆⋊₃C₂³ = C₂²×C₄×D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	C36:3C2^3	288,353
C₃₆⋊₄C₂³ = D₄×C₂×C₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	C36:4C2^3	288,368

Non-split extensions G=N.Q with N=C₃₆ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁C₂³ = D₈×D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4+	C36.1C2^3	288,120
C₃₆.₂C₂³ = D₈⋊D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4	C36.2C2^3	288,121
C₃₆.₃C₂³ = D₈⋊₃D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4-	C36.3C2^3	288,122
C₃₆.₄C₂³ = SD₁₆×D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4	C36.4C2^3	288,123
C₃₆.₅C₂³ = D₇₂⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4+	C36.5C2^3	288,124
C₃₆.₆C₂³ = SD₁₆⋊D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4-	C36.6C2^3	288,125
C₃₆.₇C₂³ = SD₁₆⋊₃D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4	C36.7C2^3	288,126
C₃₆.₈C₂³ = Q₁₆×D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4-	C36.8C2^3	288,127
C₃₆.₉C₂³ = Q₁₆⋊D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4	C36.9C2^3	288,128
C₃₆.₁₀C₂³ = D₇₂⋊₅C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4+	C36.10C2^3	288,129
C₃₆.₁₁C₂³ = C₂×D₄.D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144		C36.11C2^3	288,141
C₃₆.₁₂C₂³ = C₂×D₄⋊D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144		C36.12C2^3	288,142
C₃₆.₁₃C₂³ = D₃₆⋊₆C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4	C36.13C2^3	288,143
C₃₆.₁₄C₂³ = C₂×C₉⋊Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	288		C36.14C2^3	288,151
C₃₆.₁₅C₂³ = C₂×Q₈⋊₂D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144		C36.15C2^3	288,152
C₃₆.₁₆C₂³ = C₃₆.C₂³	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4	C36.16C2^3	288,153
C₃₆.₁₇C₂³ = D₄.D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4-	C36.17C2^3	288,159
C₃₆.₁₈C₂³ = D₄⋊D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4+	C36.18C2^3	288,160
C₃₆.₁₉C₂³ = D₄.₉D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4	C36.19C2^3	288,161
C₃₆.₂₀C₂³ = C₂×D₄⋊₂D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144		C36.20C2^3	288,357
C₃₆.₂₁C₂³ = D₄⋊₆D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4	C36.21C2^3	288,358
C₃₆.₂₂C₂³ = C₂×Q₈×D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144		C36.22C2^3	288,359
C₃₆.₂₃C₂³ = C₂×Q₈⋊₃D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144		C36.23C2^3	288,360
C₃₆.₂₄C₂³ = Q₈.₁₅D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4	C36.24C2^3	288,361
C₃₆.₂₅C₂³ = C₄○D₄×D₉	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4	C36.25C2^3	288,362
C₃₆.₂₆C₂³ = D₄⋊₈D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	72	4+	C36.26C2^3	288,363
C₃₆.₂₇C₂³ = D₄.₁₀D₁₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₃₆	144	4-	C36.27C2^3	288,364
C₃₆.₂₈C₂³ = C₂×Dic₃₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	288		C36.28C2^3	288,109
C₃₆.₂₉C₂³ = C₂×C₇₂⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.29C2^3	288,113
C₃₆.₃₀C₂³ = C₂×D₇₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.30C2^3	288,114
C₃₆.₃₁C₂³ = D₇₂⋊₇C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	2	C36.31C2^3	288,115
C₃₆.₃₂C₂³ = C₈⋊D₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	72	4+	C36.32C2^3	288,118
C₃₆.₃₃C₂³ = C₈.D₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	4-	C36.33C2^3	288,119
C₃₆.₃₄C₂³ = C₂²×Dic₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	288		C36.34C2^3	288,352
C₃₆.₃₅C₂³ = C₂×C₈×D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.35C2^3	288,110
C₃₆.₃₆C₂³ = C₂×C₈⋊D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.36C2^3	288,111
C₃₆.₃₇C₂³ = D₃₆.₂C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	2	C36.37C2^3	288,112
C₃₆.₃₈C₂³ = M₄(2)×D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.38C2^3	288,116
C₃₆.₃₉C₂³ = D₃₆.C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.39C2^3	288,117
C₃₆.₄₀C₂³ = C₂²×C₉⋊C₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	288		C36.40C2^3	288,130
C₃₆.₄₁C₂³ = C₂×C₄.Dic₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.41C2^3	288,131
C₃₆.₄₂C₂³ = D₄.Dic₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.42C2^3	288,158
C₃₆.₄₃C₂³ = C₂×D₃₆⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.43C2^3	288,355
C₃₆.₄₄C₂³ = D₈×C₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.44C2^3	288,182
C₃₆.₄₅C₂³ = SD₁₆×C₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.45C2^3	288,183
C₃₆.₄₆C₂³ = Q₁₆×C₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	288		C36.46C2^3	288,184
C₃₆.₄₇C₂³ = C₉×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	2	C36.47C2^3	288,185
C₃₆.₄₈C₂³ = C₉×C₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.48C2^3	288,186
C₃₆.₄₉C₂³ = C₉×C₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.49C2^3	288,187
C₃₆.₅₀C₂³ = Q₈×C₂×C₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	288		C36.50C2^3	288,369
C₃₆.₅₁C₂³ = C₄○D₄×C₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144		C36.51C2^3	288,370
C₃₆.₅₂C₂³ = C₉×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.52C2^3	288,371
C₃₆.₅₃C₂³ = C₉×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.53C2^3	288,372
C₃₆.₅₄C₂³ = M₄(2)×C₁₈	central extension (φ=1)	144		C36.54C2^3	288,180
C₃₆.₅₅C₂³ = C₉×C₈○D₄	central extension (φ=1)	144	2	C36.55C2^3	288,181

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Extensions 1→N→G→Q→1 with N=C36 and Q=C23

Extensions 1→N→G→Q→1 with N=C₃₆ and Q=C₂³