Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃²⋊₂C₈

Direct product G=N×Q with N=C₃ and Q=C₂×C₃²⋊₂C₈

		d	ρ	Label	ID
C₆×C₃²⋊₂C₈		48		C6xC3^2:2C8	432,632

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃²⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₃²⋊₂C₈) = S₃×C₃²⋊₂C₈	φ: C₂×C₃²⋊₂C₈/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	48	8-	C3:1(C2xC3^2:2C8)	432,570
C₃⋊₂(C₂×C₃²⋊₂C₈) = C₂×C₃³⋊₄C₈	φ: C₂×C₃²⋊₂C₈/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:2(C2xC3^2:2C8)	432,639

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃²⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₃²⋊₂C₈) = C₂×He₃⋊₂C₈	central stem extension (φ=1)	144		C3.(C2xC3^2:2C8)	432,277

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C32⋊2C8