Extensions 1→N→G→Q→1 with N=C₃⁴ and Q=C₂²

Direct product G=N×Q with N=C₃⁴ and Q=C₂²

		d	ρ	Label	ID
C₃²×C₆²		324		C3^2xC6^2	324,176

Semidirect products G=N:Q with N=C₃⁴ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⁴⋊₁C₂² = S₃²×C₃²	φ: C₂²/C₁ → C₂² ⊆ Aut C₃⁴	36		C3^4:1C2^2	324,165
C₃⁴⋊₂C₂² = C₃×S₃×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₃⁴	36		C3^4:2C2^2	324,166
C₃⁴⋊₃C₂² = C₃×C₃²⋊₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃⁴	12	4	C3^4:3C2^2	324,167
C₃⁴⋊₄C₂² = S₃×C₃³⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₃⁴	54		C3^4:4C2^2	324,168
C₃⁴⋊₅C₂² = C₃⋊S₃²	φ: C₂²/C₁ → C₂² ⊆ Aut C₃⁴	18		C3^4:5C2^2	324,169
C₃⁴⋊₆C₂² = C₃³⋊₁₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃⁴	36		C3^4:6C2^2	324,170
C₃⁴⋊₇C₂² = S₃×C₃²×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃⁴	108		C3^4:7C2^2	324,172
C₃⁴⋊₈C₂² = C₃⋊S₃×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃⁴	36		C3^4:8C2^2	324,173
C₃⁴⋊₉C₂² = C₆×C₃³⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃⁴	108		C3^4:9C2^2	324,174
C₃⁴⋊₁₀C₂² = C₂×C₃⁴⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃⁴	162		C3^4:10C2^2	324,175

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