Extensions 1→N→G→Q→1 with N=C₄₄ and Q=C₄

Direct product G=N×Q with N=C₄₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₄₄		176		C4xC44	176,19

Semidirect products G=N:Q with N=C₄₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄⋊₁C₄ = C₄₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₄	176		C44:1C4	176,12
C₄₄⋊₂C₄ = C₄×Dic₁₁	φ: C₄/C₂ → C₂ ⊆ Aut C₄₄	176		C44:2C4	176,10
C₄₄⋊₃C₄ = C₁₁×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₄	176		C44:3C4	176,21

Non-split extensions G=N.Q with N=C₄₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄.₁C₄ = C₄₄.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₄	88	2	C44.1C4	176,9
C₄₄.₂C₄ = C₁₁⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₄₄	176	2	C44.2C4	176,1
C₄₄.₃C₄ = C₂×C₁₁⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄₄	176		C44.3C4	176,8
C₄₄.₄C₄ = C₁₁×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₄₄	88	2	C44.4C4	176,23

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