Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³×D₉

Direct product G=N×Q with N=C₂ and Q=C₂³×D₉

		d	ρ	Label	ID
C₂⁴×D₉		144		C2^4xD9	288,839

Non-split extensions G=N.Q with N=C₂ and Q=C₂³×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³×D₉) = C₂²×C₄×D₉	central extension (φ=1)	144		C2.1(C2^3xD9)	288,353
C₂.₂(C₂³×D₉) = C₂³×Dic₉	central extension (φ=1)	288		C2.2(C2^3xD9)	288,365
C₂.₃(C₂³×D₉) = C₂²×Dic₁₈	central stem extension (φ=1)	288		C2.3(C2^3xD9)	288,352
C₂.₄(C₂³×D₉) = C₂²×D₃₆	central stem extension (φ=1)	144		C2.4(C2^3xD9)	288,354
C₂.₅(C₂³×D₉) = C₂×D₃₆⋊₅C₂	central stem extension (φ=1)	144		C2.5(C2^3xD9)	288,355
C₂.₆(C₂³×D₉) = C₂×D₄×D₉	central stem extension (φ=1)	72		C2.6(C2^3xD9)	288,356
C₂.₇(C₂³×D₉) = C₂×D₄⋊₂D₉	central stem extension (φ=1)	144		C2.7(C2^3xD9)	288,357
C₂.₈(C₂³×D₉) = D₄⋊₆D₁₈	central stem extension (φ=1)	72	4	C2.8(C2^3xD9)	288,358
C₂.₉(C₂³×D₉) = C₂×Q₈×D₉	central stem extension (φ=1)	144		C2.9(C2^3xD9)	288,359
C₂.₁₀(C₂³×D₉) = C₂×Q₈⋊₃D₉	central stem extension (φ=1)	144		C2.10(C2^3xD9)	288,360
C₂.₁₁(C₂³×D₉) = Q₈.₁₅D₁₈	central stem extension (φ=1)	144	4	C2.11(C2^3xD9)	288,361
C₂.₁₂(C₂³×D₉) = C₄○D₄×D₉	central stem extension (φ=1)	72	4	C2.12(C2^3xD9)	288,362
C₂.₁₃(C₂³×D₉) = D₄⋊₈D₁₈	central stem extension (φ=1)	72	4+	C2.13(C2^3xD9)	288,363
C₂.₁₄(C₂³×D₉) = D₄.₁₀D₁₈	central stem extension (φ=1)	144	4-	C2.14(C2^3xD9)	288,364
C₂.₁₅(C₂³×D₉) = C₂²×C₉⋊D₄	central stem extension (φ=1)	144		C2.15(C2^3xD9)	288,366

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁