Extensions 1→N→G→Q→1 with N=C₂×C₆² and Q=C₂

Direct product G=N×Q with N=C₂×C₆² and Q=C₂

		d	ρ	Label	ID
C₂²×C₆²		144		C2^2xC6^2	144,197

Semidirect products G=N:Q with N=C₂×C₆² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆²)⋊₁C₂ = D₄×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	72		(C2xC6^2):1C2	144,179
(C₂×C₆²)⋊₂C₂ = C₆×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	24		(C2xC6^2):2C2	144,167
(C₂×C₆²)⋊₃C₂ = C₂×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	72		(C2xC6^2):3C2	144,177
(C₂×C₆²)⋊₄C₂ = S₃×C₂²×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	48		(C2xC6^2):4C2	144,195
(C₂×C₆²)⋊₅C₂ = C₂³×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	72		(C2xC6^2):5C2	144,196

Non-split extensions G=N.Q with N=C₂×C₆² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆²).₁C₂ = C₃²×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	72		(C2xC6^2).1C2	144,102
(C₂×C₆²).₂C₂ = C₃×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	24		(C2xC6^2).2C2	144,84
(C₂×C₆²).₃C₂ = C₆²⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	72		(C2xC6^2).3C2	144,100
(C₂×C₆²).₄C₂ = Dic₃×C₂×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	48		(C2xC6^2).4C2	144,166
(C₂×C₆²).₅C₂ = C₂²×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆²	144		(C2xC6^2).5C2	144,176

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