Extensions 1→N→G→Q→1 with N=C₆₆ and Q=C₂²

Direct product G=N×Q with N=C₆₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₆₆		264		C2^2xC66	264,39

Semidirect products G=N:Q with N=C₆₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₆⋊C₂² = C₂×S₃×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₆	66	4+	C66:C2^2	264,34
C₆₆⋊₂C₂² = C₂²×D₃₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132		C66:2C2^2	264,38
C₆₆⋊₃C₂² = C₂×C₆×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132		C66:3C2^2	264,36
C₆₆⋊₄C₂² = S₃×C₂×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132		C66:4C2^2	264,37

Non-split extensions G=N.Q with N=C₆₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₆.₁C₂² = Dic₃×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₆	132	4-	C66.1C2^2	264,5
C₆₆.₂C₂² = S₃×Dic₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₆	132	4-	C66.2C2^2	264,6
C₆₆.₃C₂² = D₃₃⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₆	132	4+	C66.3C2^2	264,7
C₆₆.₄C₂² = C₃₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₆	132	4-	C66.4C2^2	264,8
C₆₆.₅C₂² = C₃⋊D₄₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₆	132	4+	C66.5C2^2	264,9
C₆₆.₆C₂² = C₁₁⋊D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₆	132	4+	C66.6C2^2	264,10
C₆₆.₇C₂² = C₃₃⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₆₆	264	4-	C66.7C2^2	264,11
C₆₆.₈C₂² = Dic₆₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	264	2-	C66.8C2^2	264,23
C₆₆.₉C₂² = C₄×D₃₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2	C66.9C2^2	264,24
C₆₆.₁₀C₂² = D₁₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2+	C66.10C2^2	264,25
C₆₆.₁₁C₂² = C₂×Dic₃₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	264		C66.11C2^2	264,26
C₆₆.₁₂C₂² = C₃₃⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2	C66.12C2^2	264,27
C₆₆.₁₃C₂² = C₃×Dic₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	264	2	C66.13C2^2	264,13
C₆₆.₁₄C₂² = C₁₂×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2	C66.14C2^2	264,14
C₆₆.₁₅C₂² = C₃×D₄₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2	C66.15C2^2	264,15
C₆₆.₁₆C₂² = C₆×Dic₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	264		C66.16C2^2	264,16
C₆₆.₁₇C₂² = C₃×C₁₁⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2	C66.17C2^2	264,17
C₆₆.₁₈C₂² = C₁₁×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	264	2	C66.18C2^2	264,18
C₆₆.₁₉C₂² = S₃×C₄₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2	C66.19C2^2	264,19
C₆₆.₂₀C₂² = C₁₁×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2	C66.20C2^2	264,20
C₆₆.₂₁C₂² = Dic₃×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	264		C66.21C2^2	264,21
C₆₆.₂₂C₂² = C₁₁×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₆₆	132	2	C66.22C2^2	264,22
C₆₆.₂₃C₂² = D₄×C₃₃	central extension (φ=1)	132	2	C66.23C2^2	264,29
C₆₆.₂₄C₂² = Q₈×C₃₃	central extension (φ=1)	264	2	C66.24C2^2	264,30

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Extensions 1→N→G→Q→1 with N=C66 and Q=C22

Extensions 1→N→G→Q→1 with N=C₆₆ and Q=C₂²