Extensions 1→N→G→Q→1 with N=C₃₆ and Q=Dic₃

Direct product G=N×Q with N=C₃₆ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₃₆		144		Dic3xC36	432,131

Semidirect products G=N:Q with N=C₃₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊₁Dic₃ = C₃₆⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	432		C36:1Dic3	432,182
C₃₆⋊₂Dic₃ = C₄×C₉⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	432		C36:2Dic3	432,180
C₃₆⋊₃Dic₃ = C₉×C₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	144		C36:3Dic3	432,133

Non-split extensions G=N.Q with N=C₃₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁Dic₃ = C₄.Dic₂₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	216	2	C36.1Dic3	432,10
C₃₆.₂Dic₃ = C₄⋊Dic₂₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	432		C36.2Dic3	432,13
C₃₆.₃Dic₃ = C₃₆.₆₉D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	216		C36.3Dic3	432,179
C₃₆.₄Dic₃ = C₂₇⋊C₁₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	432	2	C36.4Dic3	432,1
C₃₆.₅Dic₃ = C₂×C₂₇⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	432		C36.5Dic3	432,9
C₃₆.₆Dic₃ = C₄×Dic₂₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	432		C36.6Dic3	432,11
C₃₆.₇Dic₃ = C₇₂.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	432		C36.7Dic3	432,32
C₃₆.₈Dic₃ = C₂×C₃₆.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	432		C36.8Dic3	432,178
C₃₆.₉Dic₃ = C₉×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₆	72	2	C36.9Dic3	432,127
C₃₆.₁₀Dic₃ = C₉×C₃⋊C₁₆	central extension (φ=1)	144	2	C36.10Dic3	432,29
C₃₆.₁₁Dic₃ = C₁₈×C₃⋊C₈	central extension (φ=1)	144		C36.11Dic3	432,126

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