Extensions 1→N→G→Q→1 with N=C₃₆ and Q=C₂²

Direct product G=N×Q with N=C₃₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃₆		144		C2^2xC36	144,47

Semidirect products G=N:Q with N=C₃₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊C₂² = D₄×D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₆	36	4+	C36:C2^2	144,41
C₃₆⋊₂C₂² = C₂×D₃₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72		C36:2C2^2	144,39
C₃₆⋊₃C₂² = C₂×C₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72		C36:3C2^2	144,38
C₃₆⋊₄C₂² = D₄×C₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72		C36:4C2^2	144,48

Non-split extensions G=N.Q with N=C₃₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁C₂² = D₄.D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₆	72	4-	C36.1C2^2	144,15
C₃₆.₂C₂² = D₄⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₆	72	4+	C36.2C2^2	144,16
C₃₆.₃C₂² = C₉⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₆	144	4-	C36.3C2^2	144,17
C₃₆.₄C₂² = Q₈⋊₂D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₆	72	4+	C36.4C2^2	144,18
C₃₆.₅C₂² = D₄⋊₂D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₆	72	4-	C36.5C2^2	144,42
C₃₆.₆C₂² = Q₈×D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₆	72	4-	C36.6C2^2	144,43
C₃₆.₇C₂² = Q₈⋊₃D₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₃₆	72	4+	C36.7C2^2	144,44
C₃₆.₈C₂² = Dic₃₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	144	2-	C36.8C2^2	144,4
C₃₆.₉C₂² = C₇₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.9C2^2	144,7
C₃₆.₁₀C₂² = D₇₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2+	C36.10C2^2	144,8
C₃₆.₁₁C₂² = C₂×Dic₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	144		C36.11C2^2	144,37
C₃₆.₁₂C₂² = C₈×D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.12C2^2	144,5
C₃₆.₁₃C₂² = C₈⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.13C2^2	144,6
C₃₆.₁₄C₂² = C₂×C₉⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	144		C36.14C2^2	144,9
C₃₆.₁₅C₂² = C₄.Dic₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.15C2^2	144,10
C₃₆.₁₆C₂² = D₃₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.16C2^2	144,40
C₃₆.₁₇C₂² = C₉×D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.17C2^2	144,25
C₃₆.₁₈C₂² = C₉×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.18C2^2	144,26
C₃₆.₁₉C₂² = C₉×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	144	2	C36.19C2^2	144,27
C₃₆.₂₀C₂² = Q₈×C₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	144		C36.20C2^2	144,49
C₃₆.₂₁C₂² = C₉×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₃₆	72	2	C36.21C2^2	144,50
C₃₆.₂₂C₂² = C₉×M₄(2)	central extension (φ=1)	72	2	C36.22C2^2	144,24

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Extensions 1→N→G→Q→1 with N=C36 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃₆ and Q=C₂²