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

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

		d	ρ	Label	ID
C₂×C₆²		72		C2xC6^2	72,50

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²⋊₁C₂ = D₄×C₃²	φ: C₂/C₁ → C₂ ⊆ Aut C₆²	36		C6^2:1C2	72,37
C₆²⋊₂C₂ = C₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆²	12	2	C6^2:2C2	72,30
C₆²⋊₃C₂ = C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆²	36		C6^2:3C2	72,35
C₆²⋊₄C₂ = S₃×C₂×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆²	24		C6^2:4C2	72,48
C₆²⋊₅C₂ = C₂²×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆²	36		C6^2:5C2	72,49

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁C₂ = C₆×Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆²	24		C6^2.1C2	72,29
C₆².₂C₂ = C₂×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆²	72		C6^2.2C2	72,34

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