Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂×C₁₄

Direct product G=N×Q with N=C₁₂ and Q=C₂×C₁₄

		d	ρ	Label	ID
C₂²×C₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₁₂ and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊(C₂×C₁₄) = S₃×C₇×D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₂	84	4	C12:(C2xC14)	336,188
C₁₂⋊₂(C₂×C₁₄) = C₁₄×D₁₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168		C12:2(C2xC14)	336,186
C₁₂⋊₃(C₂×C₁₄) = S₃×C₂×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168		C12:3(C2xC14)	336,185
C₁₂⋊₄(C₂×C₁₄) = D₄×C₄₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168		C12:4(C2xC14)	336,205

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₂×C₁₄) = C₇×D₄⋊S₃	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₂	168	4	C12.1(C2xC14)	336,85
C₁₂.₂(C₂×C₁₄) = C₇×D₄.S₃	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₂	168	4	C12.2(C2xC14)	336,86
C₁₂.₃(C₂×C₁₄) = C₇×Q₈⋊₂S₃	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₂	168	4	C12.3(C2xC14)	336,87
C₁₂.₄(C₂×C₁₄) = C₇×C₃⋊Q₁₆	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₂	336	4	C12.4(C2xC14)	336,88
C₁₂.₅(C₂×C₁₄) = C₇×D₄⋊₂S₃	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₂	168	4	C12.5(C2xC14)	336,189
C₁₂.₆(C₂×C₁₄) = S₃×C₇×Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₂	168	4	C12.6(C2xC14)	336,190
C₁₂.₇(C₂×C₁₄) = C₇×Q₈⋊₃S₃	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₁₂	168	4	C12.7(C2xC14)	336,191
C₁₂.₈(C₂×C₁₄) = C₇×C₂₄⋊C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.8(C2xC14)	336,76
C₁₂.₉(C₂×C₁₄) = C₇×D₂₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.9(C2xC14)	336,77
C₁₂.₁₀(C₂×C₁₄) = C₇×Dic₁₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	336	2	C12.10(C2xC14)	336,78
C₁₂.₁₁(C₂×C₁₄) = C₁₄×Dic₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12.11(C2xC14)	336,184
C₁₂.₁₂(C₂×C₁₄) = S₃×C₅₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.12(C2xC14)	336,74
C₁₂.₁₃(C₂×C₁₄) = C₇×C₈⋊S₃	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.13(C2xC14)	336,75
C₁₂.₁₄(C₂×C₁₄) = C₁₄×C₃⋊C₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12.14(C2xC14)	336,79
C₁₂.₁₅(C₂×C₁₄) = C₇×C₄.Dic₃	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.15(C2xC14)	336,80
C₁₂.₁₆(C₂×C₁₄) = C₇×C₄○D₁₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.16(C2xC14)	336,187
C₁₂.₁₇(C₂×C₁₄) = D₈×C₂₁	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.17(C2xC14)	336,111
C₁₂.₁₈(C₂×C₁₄) = SD₁₆×C₂₁	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.18(C2xC14)	336,112
C₁₂.₁₉(C₂×C₁₄) = Q₁₆×C₂₁	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	336	2	C12.19(C2xC14)	336,113
C₁₂.₂₀(C₂×C₁₄) = Q₈×C₄₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12.20(C2xC14)	336,206
C₁₂.₂₁(C₂×C₁₄) = C₄○D₄×C₂₁	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.21(C2xC14)	336,207
C₁₂.₂₂(C₂×C₁₄) = M₄(2)×C₂₁	central extension (φ=1)	168	2	C12.22(C2xC14)	336,110

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Extensions 1→N→G→Q→1 with N=C12 and Q=C2×C14

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂×C₁₄