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

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

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

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

extension	φ:Q→Aut N	d	Label	ID
C₁₂⋊C₄² = Dic₃×C₄⋊C₄	φ: C₄²/C₂² → C₂² ⊆ Aut C₁₂	192	C12:C4^2	192,533
C₁₂⋊₂C₄² = C₄×C₄⋊Dic₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192	C12:2C4^2	192,493
C₁₂⋊₃C₄² = Dic₃×C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192	C12:3C4^2	192,489
C₁₂⋊₄C₄² = C₁₂×C₄⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192	C12:4C4^2	192,811

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₄² = C₁₂.C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₁₂	192		C12.1C4^2	192,88
C₁₂.₂C₄² = C₁₂.₂C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₁₂	48		C12.2C4^2	192,91
C₁₂.₃C₄² = C₁₂.₃C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₁₂	48		C12.3C4^2	192,114
C₁₂.₄C₄² = C₁₂.₄C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₁₂	96		C12.4C4^2	192,117
C₁₂.₅C₄² = C₁₂.₅C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₁₂	96		C12.5C4^2	192,556
C₁₂.₆C₄² = Dic₃×M₄(2)	φ: C₄²/C₂² → C₂² ⊆ Aut C₁₂	96		C12.6C4^2	192,676
C₁₂.₇C₄² = C₁₂.₇C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₁₂	96		C12.7C4^2	192,681
C₁₂.₈C₄² = C₁₂.₈C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	48		C12.8C4^2	192,82
C₁₂.₉C₄² = C₁₂.₉C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.9C4^2	192,110
C₁₂.₁₀C₄² = C₁₂.₁₀C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.10C4^2	192,111
C₁₂.₁₁C₄² = C₄×C₄.Dic₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.11C4^2	192,481
C₁₂.₁₂C₄² = C₁₂.₁₂C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.12C4^2	192,660
C₁₂.₁₃C₄² = C₄×C₃⋊C₁₆	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.13C4^2	192,19
C₁₂.₁₄C₄² = C₂₄.C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.14C4^2	192,20
C₁₂.₁₅C₄² = C₁₂.₁₅C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.15C4^2	192,25
C₁₂.₁₆C₄² = Dic₃×C₁₆	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.16C4^2	192,59
C₁₂.₁₇C₄² = C₄₈⋊₁₀C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.17C4^2	192,61
C₁₂.₁₈C₄² = C₄₈⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.18C4^2	192,71
C₁₂.₁₉C₄² = C₄²⋊₃Dic₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.19C4^2	192,90
C₁₂.₂₀C₄² = C₁₂.₂₀C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.20C4^2	192,116
C₁₂.₂₁C₄² = C₁₂.₂₁C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.21C4^2	192,119
C₁₂.₂₂C₄² = C₂×C₄×C₃⋊C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.22C4^2	192,479
C₁₂.₂₃C₄² = C₂×C₄².S₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.23C4^2	192,480
C₁₂.₂₄C₄² = C₄²⋊₆Dic₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.24C4^2	192,491
C₁₂.₂₅C₄² = Dic₃×C₂×C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.25C4^2	192,657
C₁₂.₂₆C₄² = C₂×C₂₄⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.26C4^2	192,659
C₁₂.₂₇C₄² = C₃×C₄²⋊₆C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	48		C12.27C4^2	192,145
C₁₂.₂₈C₄² = C₃×C₂².₄Q₁₆	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.28C4^2	192,146
C₁₂.₂₉C₄² = C₃×C₄.C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.29C4^2	192,147
C₁₂.₃₀C₄² = C₁₂×M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.30C4^2	192,837
C₁₂.₃₁C₄² = C₃×C₈○₂M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.31C4^2	192,838
C₁₂.₃₂C₄² = C₃×C₄.₉C₄²	central extension (φ=1)	48	4	C12.32C4^2	192,143
C₁₂.₃₃C₄² = C₃×C₄.₁₀C₄²	central extension (φ=1)	48	4	C12.33C4^2	192,144
C₁₂.₃₄C₄² = C₃×C₁₆⋊₅C₄	central extension (φ=1)	192		C12.34C4^2	192,152
C₁₂.₃₅C₄² = C₃×C₁₆⋊C₄	central extension (φ=1)	48	4	C12.35C4^2	192,153
C₁₂.₃₆C₄² = C₃×C₄²⋊₄C₄	central extension (φ=1)	192		C12.36C4^2	192,809
C₁₂.₃₇C₄² = C₆×C₈⋊C₄	central extension (φ=1)	192		C12.37C4^2	192,836

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

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