Extensions 1→N→G→Q→1 with N=C₄₅ and Q=C₂×C₄

Direct product G=N×Q with N=C₄₅ and Q=C₂×C₄

		d	ρ	Label	ID
C₂×C₁₈₀		360		C2xC180	360,30

Semidirect products G=N:Q with N=C₄₅ and Q=C₂×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅⋊(C₂×C₄) = D₉×F₅	φ: C₂×C₄/C₁ → C₂×C₄ ⊆ Aut C₄₅	45	8+	C45:(C2xC4)	360,39
C₄₅⋊₂(C₂×C₄) = C₂×C₉⋊F₅	φ: C₂×C₄/C₂ → C₄ ⊆ Aut C₄₅	90	4	C45:2(C2xC4)	360,44
C₄₅⋊₃(C₂×C₄) = C₁₈×F₅	φ: C₂×C₄/C₂ → C₄ ⊆ Aut C₄₅	90	4	C45:3(C2xC4)	360,43
C₄₅⋊₄(C₂×C₄) = D₉×Dic₅	φ: C₂×C₄/C₂ → C₂² ⊆ Aut C₄₅	180	4-	C45:4(C2xC4)	360,8
C₄₅⋊₅(C₂×C₄) = D₉₀.C₂	φ: C₂×C₄/C₂ → C₂² ⊆ Aut C₄₅	180	4+	C45:5(C2xC4)	360,9
C₄₅⋊₆(C₂×C₄) = D₅×Dic₉	φ: C₂×C₄/C₂ → C₂² ⊆ Aut C₄₅	180	4-	C45:6(C2xC4)	360,11
C₄₅⋊₇(C₂×C₄) = C₄×D₄₅	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₄₅	180	2	C45:7(C2xC4)	360,26
C₄₅⋊₈(C₂×C₄) = D₉×C₂₀	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₄₅	180	2	C45:8(C2xC4)	360,21
C₄₅⋊₉(C₂×C₄) = D₅×C₃₆	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₄₅	180	2	C45:9(C2xC4)	360,16
C₄₅⋊₁₀(C₂×C₄) = C₂×Dic₄₅	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₄₅	360		C45:10(C2xC4)	360,28
C₄₅⋊₁₁(C₂×C₄) = C₁₀×Dic₉	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₄₅	360		C45:11(C2xC4)	360,23
C₄₅⋊₁₂(C₂×C₄) = C₁₈×Dic₅	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₄₅	360		C45:12(C2xC4)	360,18

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁