Extensions 1→N→G→Q→1 with N=C₂ and Q=C₆²⋊₅C₄

Direct product G=N×Q with N=C₂ and Q=C₆²⋊₅C₄

		d	ρ	Label	ID
C₂×C₆²⋊₅C₄		144		C2xC6^2:5C4	288,809

Non-split extensions G=N.Q with N=C₂ and Q=C₆²⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₆²⋊₅C₄) = C₆²⋊₇C₈	central extension (φ=1)	144		C2.1(C6^2:5C4)	288,305
C₂.₂(C₆²⋊₅C₄) = C₆².₁₅Q₈	central extension (φ=1)	288		C2.2(C6^2:5C4)	288,306
C₂.₃(C₆²⋊₅C₄) = C₆².₁₁₆D₄	central stem extension (φ=1)	144		C2.3(C6^2:5C4)	288,307
C₂.₄(C₆²⋊₅C₄) = (C₆×D₄).S₃	central stem extension (φ=1)	72		C2.4(C6^2:5C4)	288,308
C₂.₅(C₆²⋊₅C₄) = C₆².₃₈D₄	central stem extension (φ=1)	72		C2.5(C6^2:5C4)	288,309
C₂.₆(C₆²⋊₅C₄) = C₆².₁₁₇D₄	central stem extension (φ=1)	288		C2.6(C6^2:5C4)	288,310
C₂.₇(C₆²⋊₅C₄) = (C₆×C₁₂).C₄	central stem extension (φ=1)	144		C2.7(C6^2:5C4)	288,311
C₂.₈(C₆²⋊₅C₄) = C₆².₃₉D₄	central stem extension (φ=1)	72		C2.8(C6^2:5C4)	288,312

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