Extensions 1→N→G→Q→1 with N=C₄² and Q=C₄

Direct product G=N×Q with N=C₄² and Q=C₄

		d	ρ	Label	ID
C₄³		64		C4^3	64,55

Semidirect products G=N:Q with N=C₄² and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₄ = C₄.₉C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₄²	16	4	C4^2:1C4	64,18
C₄²⋊₂C₄ = C₄²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄²	8	4+	C4^2:2C4	64,34
C₄²⋊₃C₄ = C₄²⋊₃C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄²	16	4	C4^2:3C4	64,35
C₄²⋊₄C₄ = C₄²⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2:4C4	64,57
C₄²⋊₅C₄ = C₄²⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2:5C4	64,64
C₄²⋊₆C₄ = C₄²⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	16		C4^2:6C4	64,20
C₄²⋊₇C₄ = C₄×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2:7C4	64,59
C₄²⋊₈C₄ = C₄²⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2:8C4	64,63
C₄²⋊₉C₄ = C₄²⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2:9C4	64,65

Non-split extensions G=N.Q with N=C₄² and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₄ = C₁₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄²	16	4	C4^2.1C4	64,28
C₄².₂C₄ = C₄².C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄²	16	4	C4^2.2C4	64,36
C₄².₃C₄ = C₄².₃C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄²	16	4-	C4^2.3C4	64,37
C₄².₄C₄ = C₁₆⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2.4C4	64,27
C₄².₅C₄ = C₂×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2.5C4	64,84
C₄².₆C₄ = C₄².₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	32		C4^2.6C4	64,113
C₄².₇C₄ = C₄⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2.7C4	64,44
C₄².₈C₄ = C₈.C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	16	2	C4^2.8C4	64,45
C₄².₉C₄ = C₄×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	32		C4^2.9C4	64,85
C₄².₁₀C₄ = C₂×C₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	64		C4^2.10C4	64,103
C₄².₁₁C₄ = C₄⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	32		C4^2.11C4	64,104
C₄².₁₂C₄ = C₄².₁₂C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄²	32		C4^2.12C4	64,112

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