Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃²⋊₂C₈

Direct product G=N×Q with N=C₄ and Q=C₃²⋊₂C₈

		d	ρ	Label	ID
C₄×C₃²⋊₂C₈		96		C4xC3^2:2C8	288,423

Semidirect products G=N:Q with N=C₄ and Q=C₃²⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃²⋊₂C₈) = (C₃×C₁₂)⋊₄C₈	φ: C₃²⋊₂C₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₄	96		C4:(C3^2:2C8)	288,424

Non-split extensions G=N.Q with N=C₄ and Q=C₃²⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃²⋊₂C₈) = C₆².₄C₈	φ: C₃²⋊₂C₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₄	48	4	C4.(C3^2:2C8)	288,421
C₄.₂(C₃²⋊₂C₈) = C₃²⋊₂C₃₂	central extension (φ=1)	96	4	C4.2(C3^2:2C8)	288,188
C₄.₃(C₃²⋊₂C₈) = C₂×C₃²⋊₂C₁₆	central extension (φ=1)	96		C4.3(C3^2:2C8)	288,420

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Extensions 1→N→G→Q→1 with N=C4 and Q=C32⋊2C8