Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₇D₄

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₇D₄

		d	ρ	Label	ID
C₃×C₃²⋊₇D₄		36		C3xC3^2:7D4	216,144

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₇D₄

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₃²⋊₇D₄) = C₃³⋊₇D₄	φ: C₃²⋊₇D₄/C₃⋊Dic₃ → C₂ ⊆ Aut C₃	36	C3:1(C3^2:7D4)	216,128
C₃⋊₂(C₃²⋊₇D₄) = C₃³⋊₆D₄	φ: C₃²⋊₇D₄/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₃	72	C3:2(C3^2:7D4)	216,127
C₃⋊₃(C₃²⋊₇D₄) = C₃³⋊₁₅D₄	φ: C₃²⋊₇D₄/C₆² → C₂ ⊆ Aut C₃	108	C3:3(C3^2:7D4)	216,149

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₇D₄) = C₆.D₁₈	φ: C₃²⋊₇D₄/C₆² → C₂ ⊆ Aut C₃	108		C3.(C3^2:7D4)	216,70
C₃.₂(C₃²⋊₇D₄) = He₃⋊₇D₄	central stem extension (φ=1)	36	6	C3.2(C3^2:7D4)	216,72

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊7D4