Extensions 1→N→G→Q→1 with N=C₄² and Q=Dic₃

Direct product G=N×Q with N=C₄² and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₄²		192		Dic3xC4^2	192,489

Semidirect products G=N:Q with N=C₄² and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊Dic₃ = C₄²⋊Dic₃	φ: Dic₃/C₁ → Dic₃ ⊆ Aut C₄²	16	12+	C4^2:Dic3	192,185
C₄²⋊₂Dic₃ = C₂³.₉S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₄²	12	3	C4^2:2Dic3	192,182
C₄²⋊₃Dic₃ = C₄²⋊₃Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2:3Dic3	192,90
C₄²⋊₄Dic₃ = C₄²⋊₄Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2:4Dic3	192,100
C₄²⋊₅Dic₃ = C₄²⋊₅Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄²	24	4	C4^2:5Dic3	192,104
C₄²⋊₆Dic₃ = C₄²⋊₆Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:6Dic3	192,491
C₄²⋊₇Dic₃ = C₄²⋊₇Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:7Dic3	192,496
C₄²⋊₈Dic₃ = C₁₂.₈C₄²	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	48		C4^2:8Dic3	192,82
C₄²⋊₉Dic₃ = C₄×C₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:9Dic3	192,493
C₄²⋊₁₀Dic₃ = C₄²⋊₁₀Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:10Dic3	192,494
C₄²⋊₁₁Dic₃ = C₄²⋊₁₁Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2:11Dic3	192,495

Non-split extensions G=N.Q with N=C₄² and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁Dic₃ = C₁₂.₁₅C₄²	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2.1Dic3	192,25
C₄².₂Dic₃ = C₄².Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2.2Dic3	192,101
C₄².₃Dic₃ = C₄².₃Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄²	48	4	C4^2.3Dic3	192,107
C₄².₄Dic₃ = C₂₄.C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.4Dic3	192,20
C₄².₅Dic₃ = C₂×C₄².S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.5Dic3	192,480
C₄².₆Dic₃ = C₄².₂₈₅D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.6Dic3	192,484
C₄².₇Dic₃ = C₄².₂₇₀D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.7Dic3	192,485
C₄².₈Dic₃ = C₁₂⋊C₁₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.8Dic3	192,21
C₄².₉Dic₃ = C₂₄.₁C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	48	2	C4^2.9Dic3	192,22
C₄².₁₀Dic₃ = C₄×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.10Dic3	192,481
C₄².₁₁Dic₃ = C₂×C₁₂⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.11Dic3	192,482
C₄².₁₂Dic₃ = C₁₂⋊₇M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.12Dic3	192,483
C₄².₁₃Dic₃ = C₄×C₃⋊C₁₆	central extension (φ=1)	192		C4^2.13Dic3	192,19
C₄².₁₄Dic₃ = C₂×C₄×C₃⋊C₈	central extension (φ=1)	192		C4^2.14Dic3	192,479

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