Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₁₂

Direct product G=N×Q with N=C₂₁ and Q=C₁₂

		d	ρ	Label	ID
C₃×C₈₄		252		C3xC84	252,25

Semidirect products G=N:Q with N=C₂₁ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁C₁₂ = C₆.F₇	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₁	84	6-	C21:1C12	252,18
C₂₁⋊₂C₁₂ = C₃×C₇⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₁	84	6	C21:2C12	252,16
C₂₁⋊₃C₁₂ = Dic₃×C₇⋊C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₁	84	6	C21:3C12	252,17
C₂₁⋊₄C₁₂ = C₁₂×C₇⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₁	84	3	C21:4C12	252,19
C₂₁⋊₅C₁₂ = C₃×Dic₂₁	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₁	84	2	C21:5C12	252,22
C₂₁⋊₆C₁₂ = C₃²×Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₁	252		C21:6C12	252,20
C₂₁⋊₇C₁₂ = Dic₃×C₂₁	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₁	84	2	C21:7C12	252,21

Non-split extensions G=N.Q with N=C₂₁ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.C₁₂ = C₇⋊C₃₆	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₁	252	6	C21.C12	252,1
C₂₁.₂C₁₂ = C₄×C₇⋊C₉	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₁	252	3	C21.2C12	252,2
C₂₁.₃C₁₂ = C₉×Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₁	252	2	C21.3C12	252,4

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