Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×C₁₈

Direct product G=N×Q with N=C₈ and Q=C₂×C₁₈

		d	ρ	Label	ID
C₂²×C₇₂		288		C2^2xC72	288,179

Semidirect products G=N:Q with N=C₈ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊(C₂×C₁₈) = C₉×C₈⋊C₂²	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₈	72	4	C8:(C2xC18)	288,186
C₈⋊₂(C₂×C₁₈) = D₈×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	144		C8:2(C2xC18)	288,182
C₈⋊₃(C₂×C₁₈) = SD₁₆×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	144		C8:3(C2xC18)	288,183
C₈⋊₄(C₂×C₁₈) = M₄(2)×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	144		C8:4(C2xC18)	288,180

Non-split extensions G=N.Q with N=C₈ and Q=C₂×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂×C₁₈) = C₉×C₈.C₂²	φ: C₂×C₁₈/C₉ → C₂² ⊆ Aut C₈	144	4	C8.(C2xC18)	288,187
C₈.₂(C₂×C₁₈) = C₉×D₁₆	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	144	2	C8.2(C2xC18)	288,61
C₈.₃(C₂×C₁₈) = C₉×SD₃₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	144	2	C8.3(C2xC18)	288,62
C₈.₄(C₂×C₁₈) = C₉×Q₃₂	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	288	2	C8.4(C2xC18)	288,63
C₈.₅(C₂×C₁₈) = Q₁₆×C₁₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	288		C8.5(C2xC18)	288,184
C₈.₆(C₂×C₁₈) = C₉×C₄○D₈	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	144	2	C8.6(C2xC18)	288,185
C₈.₇(C₂×C₁₈) = C₉×C₈○D₄	φ: C₂×C₁₈/C₁₈ → C₂ ⊆ Aut C₈	144	2	C8.7(C2xC18)	288,181
C₈.₈(C₂×C₁₈) = C₉×M₅(2)	central extension (φ=1)	144	2	C8.8(C2xC18)	288,60

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁