Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄×D₁₁

Direct product G=N×Q with N=C₂² and Q=C₄×D₁₁

		d	ρ	Label	ID
C₂²×C₄×D₁₁		176		C2^2xC4xD11	352,174

Semidirect products G=N:Q with N=C₂² and Q=C₄×D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₄×D₁₁) = Dic₁₁⋊₄D₄	φ: C₄×D₁₁/Dic₁₁ → C₂ ⊆ Aut C₂²	176		C2^2:1(C4xD11)	352,76
C₂²⋊₂(C₄×D₁₁) = C₄×C₁₁⋊D₄	φ: C₄×D₁₁/C₄₄ → C₂ ⊆ Aut C₂²	176		C2^2:2(C4xD11)	352,123
C₂²⋊₃(C₄×D₁₁) = C₂²⋊C₄×D₁₁	φ: C₄×D₁₁/D₂₂ → C₂ ⊆ Aut C₂²	88		C2^2:3(C4xD11)	352,75

Non-split extensions G=N.Q with N=C₂² and Q=C₄×D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄×D₁₁) = D₄₄.C₄	φ: C₄×D₁₁/Dic₁₁ → C₂ ⊆ Aut C₂²	176	4	C2^2.1(C4xD11)	352,102
C₂².₂(C₄×D₁₁) = D₄₄.₂C₄	φ: C₄×D₁₁/C₄₄ → C₂ ⊆ Aut C₂²	176	2	C2^2.2(C4xD11)	352,96
C₂².₃(C₄×D₁₁) = C₂².₂D₄₄	φ: C₄×D₁₁/D₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.3(C4xD11)	352,12
C₂².₄(C₄×D₁₁) = C₄₄.₄₆D₄	φ: C₄×D₁₁/D₂₂ → C₂ ⊆ Aut C₂²	88	4+	C2^2.4(C4xD11)	352,29
C₂².₅(C₄×D₁₁) = C₄₄.₄₇D₄	φ: C₄×D₁₁/D₂₂ → C₂ ⊆ Aut C₂²	176	4-	C2^2.5(C4xD11)	352,30
C₂².₆(C₄×D₁₁) = C₂³.₁₁D₂₂	φ: C₄×D₁₁/D₂₂ → C₂ ⊆ Aut C₂²	176		C2^2.6(C4xD11)	352,72
C₂².₇(C₄×D₁₁) = M₄(2)×D₁₁	φ: C₄×D₁₁/D₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.7(C4xD11)	352,101
C₂².₈(C₄×D₁₁) = C₈×Dic₁₁	central extension (φ=1)	352		C2^2.8(C4xD11)	352,19
C₂².₉(C₄×D₁₁) = Dic₁₁⋊C₈	central extension (φ=1)	352		C2^2.9(C4xD11)	352,20
C₂².₁₀(C₄×D₁₁) = C₈₈⋊C₄	central extension (φ=1)	352		C2^2.10(C4xD11)	352,21
C₂².₁₁(C₄×D₁₁) = D₂₂⋊C₈	central extension (φ=1)	176		C2^2.11(C4xD11)	352,26
C₂².₁₂(C₄×D₁₁) = C₂₂.C₄²	central extension (φ=1)	352		C2^2.12(C4xD11)	352,37
C₂².₁₃(C₄×D₁₁) = C₂×C₈×D₁₁	central extension (φ=1)	176		C2^2.13(C4xD11)	352,94
C₂².₁₄(C₄×D₁₁) = C₂×C₈₈⋊C₂	central extension (φ=1)	176		C2^2.14(C4xD11)	352,95
C₂².₁₅(C₄×D₁₁) = C₂×C₄×Dic₁₁	central extension (φ=1)	352		C2^2.15(C4xD11)	352,117
C₂².₁₆(C₄×D₁₁) = C₂×Dic₁₁⋊C₄	central extension (φ=1)	352		C2^2.16(C4xD11)	352,118
C₂².₁₇(C₄×D₁₁) = C₂×D₂₂⋊C₄	central extension (φ=1)	176		C2^2.17(C4xD11)	352,122

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