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

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

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

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

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₄₆)⋊₁C₄ = C₂²⋊C₄×C₂₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₆	184	(C2xC46):1C4	368,20
(C₂×C₄₆)⋊₂C₄ = C₂³.D₂₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₆	184	(C2xC46):2C4	368,18
(C₂×C₄₆)⋊₃C₄ = C₂²×Dic₂₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₆	368	(C2xC46):3C4	368,35

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₆).₁C₄ = M₄(2)×C₂₃	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₆	184	2	(C2xC46).1C4	368,23
(C₂×C₄₆).₂C₄ = C₂×C₂₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₆	368		(C2xC46).2C4	368,8
(C₂×C₄₆).₃C₄ = C₉₂.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₄₆	184	2	(C2xC46).3C4	368,9

⋊

ℤ

𝔽

○

≀

ℚ

◁

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