Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₄C₈

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₄C₈

		d	ρ	Label	ID
C₃×C₃²⋊₄C₈		72		C3xC3^2:4C8	216,83

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²⋊₄C₈) = C₃³⋊₇C₈	φ: C₃²⋊₄C₈/C₃×C₁₂ → C₂ ⊆ Aut C₃	216		C3:(C3^2:4C8)	216,84

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₄C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₄C₈) = C₃₆.S₃	φ: C₃²⋊₄C₈/C₃×C₁₂ → C₂ ⊆ Aut C₃	216		C3.(C3^2:4C8)	216,16
C₃.₂(C₃²⋊₄C₈) = He₃⋊₄C₈	central stem extension (φ=1)	72	3	C3.2(C3^2:4C8)	216,17

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊4C8