Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₁₈

Direct product G=N×Q with N=C₂₁ and Q=C₁₈

		d	ρ	Label	ID
C₃×C₁₂₆		378		C3xC126	378,44

Semidirect products G=N:Q with N=C₂₁ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁C₁₈ = D₂₁⋊C₉	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂₁	126	6	C21:1C18	378,21
C₂₁⋊₂C₁₈ = C₃×C₇⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂₁	189		C21:2C18	378,10
C₂₁⋊₃C₁₈ = S₃×C₇⋊C₉	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂₁	126	6	C21:3C18	378,16
C₂₁⋊₄C₁₈ = C₆×C₇⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂₁	378		C21:4C18	378,26
C₂₁⋊₅C₁₈ = C₉×D₂₁	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₁	126	2	C21:5C18	378,37
C₂₁⋊₆C₁₈ = D₇×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₁	189		C21:6C18	378,29
C₂₁⋊₇C₁₈ = S₃×C₆₃	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₁	126	2	C21:7C18	378,33

Non-split extensions G=N.Q with N=C₂₁ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.C₁₈ = C₇⋊C₅₄	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂₁	189	6	C21.C18	378,1
C₂₁.₂C₁₈ = C₂×C₇⋊C₂₇	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂₁	378	3	C21.2C18	378,2
C₂₁.₃C₁₈ = D₇×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₁	189	2	C21.3C18	378,4

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