Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂₅⋊C₄

Direct product G=N×Q with N=C₂² and Q=C₂₅⋊C₄

		d	ρ	Label	ID
C₂²×C₂₅⋊C₄		100		C2^2xC25:C4	400,53

Semidirect products G=N:Q with N=C₂² and Q=C₂₅⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂₅⋊C₄) = D₂₅.D₄	φ: C₂₅⋊C₄/D₂₅ → C₂ ⊆ Aut C₂²	100	4+	C2^2:(C25:C4)	400,34

Non-split extensions G=N.Q with N=C₂² and Q=C₂₅⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂₅⋊C₄) = C₂₅⋊M₄(2)	φ: C₂₅⋊C₄/D₂₅ → C₂ ⊆ Aut C₂²	200	4-	C2^2.(C25:C4)	400,33
C₂².₂(C₂₅⋊C₄) = C₂×C₂₅⋊C₈	central extension (φ=1)	400		C2^2.2(C25:C4)	400,32

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C25⋊C4