Extensions 1→N→G→Q→1 with N=C₆² and Q=C₂²

Direct product G=N×Q with N=C₆² and Q=C₂²

		d	ρ	Label	ID
C₂²×C₆²		144		C2^2xC6^2	144,197

Semidirect products G=N:Q with N=C₆² and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²⋊₁C₂² = S₃×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24	4	C6^2:1C2^2	144,153
C₆²⋊₂C₂² = Dic₃⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	12	4+	C6^2:2C2^2	144,154
C₆²⋊₃C₂² = C₃×S₃×D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24	4	C6^2:3C2^2	144,162
C₆²⋊₄C₂² = D₄×C₃⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	36		C6^2:4C2^2	144,172
C₆²⋊₅C₂² = C₂²×S₃²	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24		C6^2:5C2^2	144,192
C₆²⋊₆C₂² = D₄×C₃×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2:6C2^2	144,179
C₆²⋊₇C₂² = C₆×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	24		C6^2:7C2^2	144,167
C₆²⋊₈C₂² = C₂×C₃²⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2:8C2^2	144,177
C₆²⋊₉C₂² = S₃×C₂²×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2:9C2^2	144,195
C₆²⋊₁₀C₂² = C₂³×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2:10C2^2	144,196

Non-split extensions G=N.Q with N=C₆² and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁C₂² = Dic₃²	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	48		C6^2.1C2^2	144,63
C₆².₂C₂² = D₆⋊Dic₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	48		C6^2.2C2^2	144,64
C₆².₃C₂² = C₆.D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24		C6^2.3C2^2	144,65
C₆².₄C₂² = Dic₃⋊Dic₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	48		C6^2.4C2^2	144,66
C₆².₅C₂² = C₆².C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	48		C6^2.5C2^2	144,67
C₆².₆C₂² = C₂×S₃×Dic₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	48		C6^2.6C2^2	144,146
C₆².₇C₂² = D₆.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24	4	C6^2.7C2^2	144,147
C₆².₈C₂² = D₆.₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24	4-	C6^2.8C2^2	144,148
C₆².₉C₂² = C₂×C₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24		C6^2.9C2^2	144,149
C₆².₁₀C₂² = C₂×D₆⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	48		C6^2.10C2^2	144,150
C₆².₁₁C₂² = C₂×C₃⋊D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24		C6^2.11C2^2	144,151
C₆².₁₂C₂² = C₂×C₃²⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	48		C6^2.12C2^2	144,152
C₆².₁₃C₂² = C₃×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	24	4	C6^2.13C2^2	144,163
C₆².₁₄C₂² = C₁₂.D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₆²	72		C6^2.14C2^2	144,173
C₆².₁₅C₂² = C₃²×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2.15C2^2	144,181
C₆².₁₆C₂² = Dic₃×C₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.16C2^2	144,76
C₆².₁₇C₂² = C₃×Dic₃⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.17C2^2	144,77
C₆².₁₈C₂² = C₃×C₄⋊Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.18C2^2	144,78
C₆².₁₉C₂² = C₃×D₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.19C2^2	144,79
C₆².₂₀C₂² = C₃×C₆.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	24		C6^2.20C2^2	144,84
C₆².₂₁C₂² = C₄×C₃⋊Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	144		C6^2.21C2^2	144,92
C₆².₂₂C₂² = C₆.Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	144		C6^2.22C2^2	144,93
C₆².₂₃C₂² = C₁₂⋊Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	144		C6^2.23C2^2	144,94
C₆².₂₄C₂² = C₆.₁₁D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2.24C2^2	144,95
C₆².₂₅C₂² = C₆²⋊₅C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2.25C2^2	144,100
C₆².₂₆C₂² = C₆×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.26C2^2	144,158
C₆².₂₇C₂² = S₃×C₂×C₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.27C2^2	144,159
C₆².₂₈C₂² = C₆×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.28C2^2	144,160
C₆².₂₉C₂² = C₃×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	24	2	C6^2.29C2^2	144,161
C₆².₃₀C₂² = Dic₃×C₂×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.30C2^2	144,166
C₆².₃₁C₂² = C₂×C₃²⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	144		C6^2.31C2^2	144,168
C₆².₃₂C₂² = C₂×C₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2.32C2^2	144,169
C₆².₃₃C₂² = C₂×C₁₂⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2.33C2^2	144,170
C₆².₃₄C₂² = C₁₂.₅₉D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	72		C6^2.34C2^2	144,171
C₆².₃₅C₂² = C₂²×C₃⋊Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆²	144		C6^2.35C2^2	144,176
C₆².₃₆C₂² = C₃²×C₂²⋊C₄	central extension (φ=1)	72		C6^2.36C2^2	144,102
C₆².₃₇C₂² = C₃²×C₄⋊C₄	central extension (φ=1)	144		C6^2.37C2^2	144,103
C₆².₃₈C₂² = Q₈×C₃×C₆	central extension (φ=1)	144		C6^2.38C2^2	144,180

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Extensions 1→N→G→Q→1 with N=C62 and Q=C22

Extensions 1→N→G→Q→1 with N=C₆² and Q=C₂²