Extensions 1→N→G→Q→1 with N=Dic₂₅ and Q=C₂²

Direct product G=N×Q with N=Dic₂₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₂₅		400		C2^2xDic25	400,43

Semidirect products G=N:Q with N=Dic₂₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₅⋊₁C₂² = D₄×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	100	4+	Dic25:1C2^2	400,39
Dic₂₅⋊₂C₂² = C₂×C₂₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	200		Dic25:2C2^2	400,44
Dic₂₅⋊₃C₂² = C₂×C₄×D₂₅	φ: trivial image	200		Dic25:3C2^2	400,36

Non-split extensions G=N.Q with N=Dic₂₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₅.₁C₂² = C₂×Dic₅₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	400		Dic25.1C2^2	400,35
Dic₂₅.₂C₂² = D₁₀₀⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	200	2	Dic25.2C2^2	400,38
Dic₂₅.₃C₂² = D₄⋊₂D₂₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	200	4-	Dic25.3C2^2	400,40
Dic₂₅.₄C₂² = Q₈×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	200	4-	Dic25.4C2^2	400,41
Dic₂₅.₅C₂² = D₂₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	200	4	Dic25.5C2^2	400,28
Dic₂₅.₆C₂² = C₁₀₀.C₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	200	4	Dic25.6C2^2	400,29
Dic₂₅.₇C₂² = C₂×C₂₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	400		Dic25.7C2^2	400,32
Dic₂₅.₈C₂² = C₂₅⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₅	200	4-	Dic25.8C2^2	400,33
Dic₂₅.₉C₂² = Q₈⋊₂D₂₅	φ: trivial image	200	4+	Dic25.9C2^2	400,42

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