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

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

		d	ρ	Label	ID
C₄³		64		C4^3	64,55

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊C₄² = C₄×C₄⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₄	64		C4:C4^2	64,59

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁C₄² = C₄²⋊₆C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₄	16		C4.1C4^2	64,20
C₄.₂C₄² = C₂².₄Q₁₆	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₄	64		C4.2C4^2	64,21
C₄.₃C₄² = C₄.C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₄	32		C4.3C4^2	64,22
C₄.₄C₄² = C₄×M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₄	32		C4.4C4^2	64,85
C₄.₅C₄² = C₈○₂M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₄	32		C4.5C4^2	64,86
C₄.₆C₄² = C₁₆⋊₅C₄	central extension (φ=1)	64		C4.6C4^2	64,27
C₄.₇C₄² = C₄²⋊₄C₄	central extension (φ=1)	64		C4.7C4^2	64,57
C₄.₈C₄² = C₂×C₈⋊C₄	central extension (φ=1)	64		C4.8C4^2	64,84
C₄.₉C₄² = C₄.₉C₄²	central stem extension (φ=1)	16	4	C4.9C4^2	64,18
C₄.₁₀C₄² = C₄.₁₀C₄²	central stem extension (φ=1)	16	4	C4.10C4^2	64,19
C₄.₁₁C₄² = C₁₆⋊C₄	central stem extension (φ=1)	16	4	C4.11C4^2	64,28

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