Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₆²

Direct product G=N×Q with N=C₁₂ and Q=C₆²

		d	ρ	Label	ID
C₆²×C₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₁₂ and Q=C₆²

extension	φ:Q→Aut N	d	Label	ID
C₁₂⋊C₆² = S₃×D₄×C₃²	φ: C₆²/C₃² → C₂² ⊆ Aut C₁₂	72	C12:C6^2	432,704
C₁₂⋊₂C₆² = C₃×C₆×D₁₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144	C12:2C6^2	432,702
C₁₂⋊₃C₆² = S₃×C₆×C₁₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144	C12:3C6^2	432,701
C₁₂⋊₄C₆² = D₄×C₃²×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	216	C12:4C6^2	432,731

Non-split extensions G=N.Q with N=C₁₂ and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₆² = C₃²×D₄⋊S₃	φ: C₆²/C₃² → C₂² ⊆ Aut C₁₂	72		C12.1C6^2	432,475
C₁₂.₂C₆² = C₃²×D₄.S₃	φ: C₆²/C₃² → C₂² ⊆ Aut C₁₂	72		C12.2C6^2	432,476
C₁₂.₃C₆² = C₃²×Q₈⋊₂S₃	φ: C₆²/C₃² → C₂² ⊆ Aut C₁₂	144		C12.3C6^2	432,477
C₁₂.₄C₆² = C₃²×C₃⋊Q₁₆	φ: C₆²/C₃² → C₂² ⊆ Aut C₁₂	144		C12.4C6^2	432,478
C₁₂.₅C₆² = C₃²×D₄⋊₂S₃	φ: C₆²/C₃² → C₂² ⊆ Aut C₁₂	72		C12.5C6^2	432,705
C₁₂.₆C₆² = S₃×Q₈×C₃²	φ: C₆²/C₃² → C₂² ⊆ Aut C₁₂	144		C12.6C6^2	432,706
C₁₂.₇C₆² = C₃²×Q₈⋊₃S₃	φ: C₆²/C₃² → C₂² ⊆ Aut C₁₂	144		C12.7C6^2	432,707
C₁₂.₈C₆² = C₃²×C₂₄⋊C₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.8C6^2	432,466
C₁₂.₉C₆² = C₃²×D₂₄	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.9C6^2	432,467
C₁₂.₁₀C₆² = C₃²×Dic₁₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.10C6^2	432,468
C₁₂.₁₁C₆² = C₃×C₆×Dic₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.11C6^2	432,700
C₁₂.₁₂C₆² = S₃×C₃×C₂₄	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.12C6^2	432,464
C₁₂.₁₃C₆² = C₃²×C₈⋊S₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.13C6^2	432,465
C₁₂.₁₄C₆² = C₃×C₆×C₃⋊C₈	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.14C6^2	432,469
C₁₂.₁₅C₆² = C₃²×C₄.Dic₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	72		C12.15C6^2	432,470
C₁₂.₁₆C₆² = C₃²×C₄○D₁₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	72		C12.16C6^2	432,703
C₁₂.₁₇C₆² = D₈×C₃×C₉	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	216		C12.17C6^2	432,215
C₁₂.₁₈C₆² = D₈×He₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	72	6	C12.18C6^2	432,216
C₁₂.₁₉C₆² = D₈×3_-¹⁺²	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	72	6	C12.19C6^2	432,217
C₁₂.₂₀C₆² = SD₁₆×C₃×C₉	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	216		C12.20C6^2	432,218
C₁₂.₂₁C₆² = SD₁₆×He₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	72	6	C12.21C6^2	432,219
C₁₂.₂₂C₆² = SD₁₆×3_-¹⁺²	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	72	6	C12.22C6^2	432,220
C₁₂.₂₃C₆² = Q₁₆×C₃×C₉	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	432		C12.23C6^2	432,221
C₁₂.₂₄C₆² = Q₁₆×He₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144	6	C12.24C6^2	432,222
C₁₂.₂₅C₆² = Q₁₆×3_-¹⁺²	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144	6	C12.25C6^2	432,223
C₁₂.₂₆C₆² = D₄×C₃×C₁₈	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	216		C12.26C6^2	432,403
C₁₂.₂₇C₆² = C₂×D₄×He₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	72		C12.27C6^2	432,404
C₁₂.₂₈C₆² = C₂×D₄×3_-¹⁺²	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	72		C12.28C6^2	432,405
C₁₂.₂₉C₆² = Q₈×C₃×C₁₈	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	432		C12.29C6^2	432,406
C₁₂.₃₀C₆² = C₂×Q₈×He₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.30C6^2	432,407
C₁₂.₃₁C₆² = C₂×Q₈×3_-¹⁺²	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	144		C12.31C6^2	432,408
C₁₂.₃₂C₆² = C₄○D₄×C₃×C₉	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	216		C12.32C6^2	432,409
C₁₂.₃₃C₆² = D₈×C₃³	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	216		C12.33C6^2	432,517
C₁₂.₃₄C₆² = SD₁₆×C₃³	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	216		C12.34C6^2	432,518
C₁₂.₃₅C₆² = Q₁₆×C₃³	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	432		C12.35C6^2	432,519
C₁₂.₃₆C₆² = Q₈×C₃²×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	432		C12.36C6^2	432,732
C₁₂.₃₇C₆² = C₄○D₄×C₃³	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₁₂	216		C12.37C6^2	432,733
C₁₂.₃₈C₆² = C₂×C₈×He₃	central extension (φ=1)	144		C12.38C6^2	432,210
C₁₂.₃₉C₆² = C₂×C₈×3_-¹⁺²	central extension (φ=1)	144		C12.39C6^2	432,211
C₁₂.₄₀C₆² = M₄(2)×C₃×C₉	central extension (φ=1)	216		C12.40C6^2	432,212
C₁₂.₄₁C₆² = M₄(2)×He₃	central extension (φ=1)	72	6	C12.41C6^2	432,213
C₁₂.₄₂C₆² = M₄(2)×3_-¹⁺²	central extension (φ=1)	72	6	C12.42C6^2	432,214
C₁₂.₄₃C₆² = C₂²×C₄×He₃	central extension (φ=1)	144		C12.43C6^2	432,401
C₁₂.₄₄C₆² = C₂²×C₄×3_-¹⁺²	central extension (φ=1)	144		C12.44C6^2	432,402
C₁₂.₄₅C₆² = C₄○D₄×He₃	central extension (φ=1)	72	6	C12.45C6^2	432,410
C₁₂.₄₆C₆² = C₄○D₄×3_-¹⁺²	central extension (φ=1)	72	6	C12.46C6^2	432,411
C₁₂.₄₇C₆² = M₄(2)×C₃³	central extension (φ=1)	216		C12.47C6^2	432,516

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Extensions 1→N→G→Q→1 with N=C12 and Q=C62

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₆²