Extensions 1→N→G→Q→1 with N=C₄² and Q=C₁₂

Direct product G=N×Q with N=C₄² and Q=C₁₂

		d	ρ	Label	ID
C₄²×C₁₂		192		C4^2xC12	192,807

Semidirect products G=N:Q with N=C₄² and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₁₂ = C₄²⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₄²	24	6	C4^2:1C12	192,192
C₄²⋊₂C₁₂ = C₄²⋊₂C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₄²	24	6-	C4^2:2C12	192,193
C₄²⋊₃C₁₂ = C₃×C₄.₉C₄²	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2:3C12	192,143
C₄²⋊₄C₁₂ = C₃×C₄²⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄²	24	4	C4^2:4C12	192,159
C₄²⋊₅C₁₂ = C₃×C₄²⋊₃C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2:5C12	192,160
C₄²⋊₆C₁₂ = C₄×C₄²⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₄²	12	3	C4^2:6C12	192,188
C₄²⋊₇C₁₂ = C₃×C₄²⋊₄C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:7C12	192,809
C₄²⋊₈C₁₂ = C₃×C₄²⋊₅C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:8C12	192,816
C₄²⋊₉C₁₂ = C₃×C₄²⋊₆C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	48		C4^2:9C12	192,145
C₄²⋊₁₀C₁₂ = C₁₂×C₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:10C12	192,811
C₄²⋊₁₁C₁₂ = C₃×C₄²⋊₈C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:11C12	192,815
C₄²⋊₁₂C₁₂ = C₃×C₄²⋊₉C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:12C12	192,817

Non-split extensions G=N.Q with N=C₄² and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₁₂ = C₃×C₁₆⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2.1C12	192,153
C₄².₂C₁₂ = C₃×C₄².C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2.2C12	192,161
C₄².₃C₁₂ = C₃×C₄².₃C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2.3C12	192,162
C₄².₄C₁₂ = C₃×C₁₆⋊₅C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.4C12	192,152
C₄².₅C₁₂ = C₆×C₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.5C12	192,836
C₄².₆C₁₂ = C₃×C₄².₁₂C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.6C12	192,864
C₄².₇C₁₂ = C₃×C₄⋊C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.7C12	192,169
C₄².₈C₁₂ = C₃×C₈.C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	48	2	C4^2.8C12	192,170
C₄².₉C₁₂ = C₁₂×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.9C12	192,837
C₄².₁₀C₁₂ = C₆×C₄⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.10C12	192,855
C₄².₁₁C₁₂ = C₃×C₄⋊M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.11C12	192,856
C₄².₁₂C₁₂ = C₃×C₄².₆C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.12C12	192,865

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