Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂²

Direct product G=N×Q with N=C₁₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₈		72		C2^2xC18	72,18

Semidirect products G=N:Q with N=C₁₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊C₂² = C₂²×D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₈	36		C18:C2^2	72,17

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁C₂² = Dic₁₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₈	72	2-	C18.1C2^2	72,4
C₁₈.₂C₂² = C₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₈	36	2	C18.2C2^2	72,5
C₁₈.₃C₂² = D₃₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₈	36	2+	C18.3C2^2	72,6
C₁₈.₄C₂² = C₂×Dic₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₈	72		C18.4C2^2	72,7
C₁₈.₅C₂² = C₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₈	36	2	C18.5C2^2	72,8
C₁₈.₆C₂² = D₄×C₉	central extension (φ=1)	36	2	C18.6C2^2	72,10
C₁₈.₇C₂² = Q₈×C₉	central extension (φ=1)	72	2	C18.7C2^2	72,11

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