Extensions 1→N→G→Q→1 with N=C₃²⋊₇D₄ and Q=C₆

Direct product G=N×Q with N=C₃²⋊₇D₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₃²⋊₇D₄		72		C6xC3^2:7D4	432,719

Semidirect products G=N:Q with N=C₃²⋊₇D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₇D₄⋊₁C₆ = D₄×C₃²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃²⋊₇D₄	36	12+	C3^2:7D4:1C6	432,360
C₃²⋊₇D₄⋊₂C₆ = C₆².₁₃D₆	φ: C₆/C₁ → C₆ ⊆ Out C₃²⋊₇D₄	72	12-	C3^2:7D4:2C6	432,361
C₃²⋊₇D₄⋊₃C₆ = C₆².₃₆D₆	φ: C₆/C₂ → C₃ ⊆ Out C₃²⋊₇D₄	72	6	C3^2:7D4:3C6	432,351
C₃²⋊₇D₄⋊₄C₆ = C₂×He₃⋊₆D₄	φ: C₆/C₂ → C₃ ⊆ Out C₃²⋊₇D₄	72		C3^2:7D4:4C6	432,377
C₃²⋊₇D₄⋊₅C₆ = C₃×D₆.₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₇D₄	24	4	C3^2:7D4:5C6	432,652
C₃²⋊₇D₄⋊₆C₆ = C₃×S₃×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₇D₄	24	4	C3^2:7D4:6C6	432,658
C₃²⋊₇D₄⋊₇C₆ = C₃×D₄×C₃⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₇D₄	72		C3^2:7D4:7C6	432,714
C₃²⋊₇D₄⋊₈C₆ = C₃×C₁₂.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₇D₄	72		C3^2:7D4:8C6	432,715
C₃²⋊₇D₄⋊₉C₆ = C₃×C₁₂.₅₉D₆	φ: trivial image	72		C3^2:7D4:9C6	432,713

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