Extensions 1→N→G→Q→1 with N=C₁₀₈ and Q=C₄

Direct product G=N×Q with N=C₁₀₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₀₈		432		C4xC108	432,20

Semidirect products G=N:Q with N=C₁₀₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₈⋊₁C₄ = C₄⋊Dic₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₈	432		C108:1C4	432,13
C₁₀₈⋊₂C₄ = C₄×Dic₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₈	432		C108:2C4	432,11
C₁₀₈⋊₃C₄ = C₄⋊C₄×C₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₈	432		C108:3C4	432,22

Non-split extensions G=N.Q with N=C₁₀₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₈.₁C₄ = C₄.Dic₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.1C4	432,10
C₁₀₈.₂C₄ = C₂₇⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₈	432	2	C108.2C4	432,1
C₁₀₈.₃C₄ = C₂×C₂₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₈	432		C108.3C4	432,9
C₁₀₈.₄C₄ = M₄(2)×C₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.4C4	432,24

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁