Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₄₆

Direct product G=N×Q with N=C₄ and Q=C₂×C₄₆

		d	ρ	Label	ID
C₂²×C₉₂		368		C2^2xC92	368,37

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₄₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₄₆) = D₄×C₄₆	φ: C₂×C₄₆/C₄₆ → C₂ ⊆ Aut C₄	184		C4:(C2xC46)	368,38

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₄₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₄₆) = D₈×C₂₃	φ: C₂×C₄₆/C₄₆ → C₂ ⊆ Aut C₄	184	2	C4.1(C2xC46)	368,24
C₄.₂(C₂×C₄₆) = SD₁₆×C₂₃	φ: C₂×C₄₆/C₄₆ → C₂ ⊆ Aut C₄	184	2	C4.2(C2xC46)	368,25
C₄.₃(C₂×C₄₆) = Q₁₆×C₂₃	φ: C₂×C₄₆/C₄₆ → C₂ ⊆ Aut C₄	368	2	C4.3(C2xC46)	368,26
C₄.₄(C₂×C₄₆) = Q₈×C₄₆	φ: C₂×C₄₆/C₄₆ → C₂ ⊆ Aut C₄	368		C4.4(C2xC46)	368,39
C₄.₅(C₂×C₄₆) = C₄○D₄×C₂₃	φ: C₂×C₄₆/C₄₆ → C₂ ⊆ Aut C₄	184	2	C4.5(C2xC46)	368,40
C₄.₆(C₂×C₄₆) = M₄(2)×C₂₃	central extension (φ=1)	184	2	C4.6(C2xC46)	368,23

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁