Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₄₄

Direct product G=NxQ with N=C₄ and Q=C₂xC₄₄

		d	ρ	Label	ID
C₂xC₄xC₄₄		352		C2xC4xC44	352,149

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₄₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₂xC₄₄) = D₄xC₄₄	φ: C₂xC₄₄/C₄₄ → C₂ ⊆ Aut C₄	176		C4:1(C2xC44)	352,153
C₄:₂(C₂xC₄₄) = C₄:C₄xC₂₂	φ: C₂xC₄₄/C₂xC₂₂ → C₂ ⊆ Aut C₄	352		C4:2(C2xC44)	352,151

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₄₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₄₄) = C₁₁xD₄:C₄	φ: C₂xC₄₄/C₄₄ → C₂ ⊆ Aut C₄	176		C4.1(C2xC44)	352,51
C₄.₂(C₂xC₄₄) = C₁₁xQ₈:C₄	φ: C₂xC₄₄/C₄₄ → C₂ ⊆ Aut C₄	352		C4.2(C2xC44)	352,52
C₄.₃(C₂xC₄₄) = C₁₁xC₄wrC₂	φ: C₂xC₄₄/C₄₄ → C₂ ⊆ Aut C₄	88	2	C4.3(C2xC44)	352,53
C₄.₄(C₂xC₄₄) = Q₈xC₄₄	φ: C₂xC₄₄/C₄₄ → C₂ ⊆ Aut C₄	352		C4.4(C2xC44)	352,154
C₄.₅(C₂xC₄₄) = C₁₁xC₈oD₄	φ: C₂xC₄₄/C₄₄ → C₂ ⊆ Aut C₄	176	2	C4.5(C2xC44)	352,166
C₄.₆(C₂xC₄₄) = C₁₁xC₄.Q₈	φ: C₂xC₄₄/C₂xC₂₂ → C₂ ⊆ Aut C₄	352		C4.6(C2xC44)	352,55
C₄.₇(C₂xC₄₄) = C₁₁xC₂.D₈	φ: C₂xC₄₄/C₂xC₂₂ → C₂ ⊆ Aut C₄	352		C4.7(C2xC44)	352,56
C₄.₈(C₂xC₄₄) = C₁₁xC₈.C₄	φ: C₂xC₄₄/C₂xC₂₂ → C₂ ⊆ Aut C₄	176	2	C4.8(C2xC44)	352,57
C₄.₉(C₂xC₄₄) = C₁₁xC₄²:C₂	φ: C₂xC₄₄/C₂xC₂₂ → C₂ ⊆ Aut C₄	176		C4.9(C2xC44)	352,152
C₄.₁₀(C₂xC₄₄) = M₄(2)xC₂₂	φ: C₂xC₄₄/C₂xC₂₂ → C₂ ⊆ Aut C₄	176		C4.10(C2xC44)	352,165
C₄.₁₁(C₂xC₄₄) = C₁₁xC₈:C₄	central extension (φ=1)	352		C4.11(C2xC44)	352,46
C₄.₁₂(C₂xC₄₄) = C₁₁xM₅(2)	central extension (φ=1)	176	2	C4.12(C2xC44)	352,59

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