Extensions 1→N→G→Q→1 with N=C₆² and Q=C₃²

Direct product G=N×Q with N=C₆² and Q=C₃²

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

Semidirect products G=N:Q with N=C₆² and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²⋊C₃² = A₄×He₃	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	36	9	C6^2:C3^2	324,130
C₆²⋊₂C₃² = C₃×C₃²⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	54		C6^2:2C3^2	324,135
C₆²⋊₃C₃² = C₂×C₆×He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2:3C3^2	324,152
C₆²⋊₄C₃² = A₄×C₃³	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2:4C3^2	324,171

Non-split extensions G=N.Q with N=C₆² and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁C₃² = He₃.A₄	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	54	9	C6^2.1C3^2	324,53
C₆².₂C₃² = He₃⋊A₄	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	54	9	C6^2.2C3^2	324,54
C₆².₃C₃² = He₃⋊₂A₄	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	36	9	C6^2.3C3^2	324,55
C₆².₄C₃² = C₆².C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	54	9	C6^2.4C3^2	324,56
C₆².₅C₃² = 3_-¹⁺²⋊A₄	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	54	9	C6^2.5C3^2	324,57
C₆².₆C₃² = C₆².₆C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	36	9	C6^2.6C3^2	324,58
C₆².₇C₃² = He₃.₂A₄	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	54	9	C6^2.7C3^2	324,129
C₆².₈C₃² = A₄×3_-¹⁺²	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	36	9	C6^2.8C3^2	324,131
C₆².₉C₃² = C₆².₉C₃²	φ: C₃²/C₁ → C₃² ⊆ Aut C₆²	54	9	C6^2.9C3^2	324,132
C₆².₁₀C₃² = C₉×C₃.A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	162		C6^2.10C3^2	324,46
C₆².₁₁C₃² = C₆².₁₁C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	162		C6^2.11C3^2	324,47
C₆².₁₂C₃² = C₆².₁₂C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	162		C6^2.12C3^2	324,48
C₆².₁₃C₃² = C₆².₁₃C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	54	3	C6^2.13C3^2	324,49
C₆².₁₄C₃² = C₆².₁₄C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	54	3	C6^2.14C3^2	324,50
C₆².₁₅C₃² = C₆².₁₅C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	54	3	C6^2.15C3^2	324,51
C₆².₁₆C₃² = C₆².₁₆C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2.16C3^2	324,52
C₆².₁₇C₃² = C₆²⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	54		C6^2.17C3^2	324,59
C₆².₁₈C₃² = C₃³⋊₂A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	18	3	C6^2.18C3^2	324,60
C₆².₁₉C₃² = C₂²×C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	36		C6^2.19C3^2	324,86
C₆².₂₀C₃² = C₂²×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2.20C3^2	324,87
C₆².₂₁C₃² = C₂²×He₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2.21C3^2	324,88
C₆².₂₂C₃² = C₂²×C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2.22C3^2	324,89
C₆².₂₃C₃² = A₄×C₃×C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2.23C3^2	324,126
C₆².₂₄C₃² = C₃×C₉⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2.24C3^2	324,127
C₆².₂₅C₃² = C₆².₂₅C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	54	3	C6^2.25C3^2	324,128
C₆².₂₆C₃² = C₃²×C₃.A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	162		C6^2.26C3^2	324,133
C₆².₂₇C₃² = C₃×C₃².A₄	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	54		C6^2.27C3^2	324,134
C₆².₂₈C₃² = C₂²×C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₆²	108		C6^2.28C3^2	324,154
C₆².₂₉C₃² = C₂²×C₃²⋊C₉	central extension (φ=1)	108		C6^2.29C3^2	324,82
C₆².₃₀C₃² = C₂²×C₉⋊C₉	central extension (φ=1)	324		C6^2.30C3^2	324,83
C₆².₃₁C₃² = C₂×C₆×3_-¹⁺²	central extension (φ=1)	108		C6^2.31C3^2	324,153

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Extensions 1→N→G→Q→1 with N=C62 and Q=C32

Extensions 1→N→G→Q→1 with N=C₆² and Q=C₃²