Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄₄

Direct product G=N×Q with N=C₂² and Q=D₄₄

		d	ρ	Label	ID
C₂²×D₄₄		176		C2^2xD44	352,175

Semidirect products G=N:Q with N=C₂² and Q=D₄₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₄₄ = C₄₄⋊₇D₄	φ: D₄₄/C₄₄ → C₂ ⊆ Aut C₂²	176		C2^2:1D44	352,125
C₂²⋊₂D₄₄ = C₂²⋊D₄₄	φ: D₄₄/D₂₂ → C₂ ⊆ Aut C₂²	88		C2^2:2D44	352,77

Non-split extensions G=N.Q with N=C₂² and Q=D₄₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₄₄ = D₈₈⋊₇C₂	φ: D₄₄/C₄₄ → C₂ ⊆ Aut C₂²	176	2	C2^2.1D44	352,99
C₂².₂D₄₄ = C₂².₂D₄₄	φ: D₄₄/D₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.2D44	352,12
C₂².₃D₄₄ = D₄₄⋊₄C₄	φ: D₄₄/D₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.3D44	352,31
C₂².₄D₄₄ = C₂².D₄₄	φ: D₄₄/D₂₂ → C₂ ⊆ Aut C₂²	176		C2^2.4D44	352,81
C₂².₅D₄₄ = C₈⋊D₂₂	φ: D₄₄/D₂₂ → C₂ ⊆ Aut C₂²	88	4+	C2^2.5D44	352,103
C₂².₆D₄₄ = C₈.D₂₂	φ: D₄₄/D₂₂ → C₂ ⊆ Aut C₂²	176	4-	C2^2.6D44	352,104
C₂².₇D₄₄ = C₄₄.₄₄D₄	central extension (φ=1)	352		C2^2.7D44	352,22
C₂².₈D₄₄ = C₄₄.₄Q₈	central extension (φ=1)	352		C2^2.8D44	352,23
C₂².₉D₄₄ = C₄₄.₅Q₈	central extension (φ=1)	352		C2^2.9D44	352,24
C₂².₁₀D₄₄ = C₂.D₈₈	central extension (φ=1)	176		C2^2.10D44	352,27
C₂².₁₁D₄₄ = C₂₂.C₄²	central extension (φ=1)	352		C2^2.11D44	352,37
C₂².₁₂D₄₄ = C₂×C₈⋊D₁₁	central extension (φ=1)	176		C2^2.12D44	352,97
C₂².₁₃D₄₄ = C₂×D₈₈	central extension (φ=1)	176		C2^2.13D44	352,98
C₂².₁₄D₄₄ = C₂×Dic₄₄	central extension (φ=1)	352		C2^2.14D44	352,100
C₂².₁₅D₄₄ = C₂×C₄₄⋊C₄	central extension (φ=1)	352		C2^2.15D44	352,120
C₂².₁₆D₄₄ = C₂×D₂₂⋊C₄	central extension (φ=1)	176		C2^2.16D44	352,122

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