Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₂×D₄

Direct product G=N×Q with N=C₂₁ and Q=C₂×D₄

		d	ρ	Label	ID
D₄×C₄₂		168		D4xC42	336,205

Semidirect products G=N:Q with N=C₂₁ and Q=C₂×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁(C₂×D₄) = D₇×D₁₂	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₂₁	84	4+	C21:1(C2xD4)	336,148
C₂₁⋊₂(C₂×D₄) = S₃×D₂₈	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₂₁	84	4+	C21:2(C2xD4)	336,149
C₂₁⋊₃(C₂×D₄) = C₂₈⋊D₆	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₂₁	84	4	C21:3(C2xD4)	336,150
C₂₁⋊₄(C₂×D₄) = C₂×C₂₁⋊D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₂₁	168		C21:4(C2xD4)	336,157
C₂₁⋊₅(C₂×D₄) = C₂×C₃⋊D₂₈	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₂₁	168		C21:5(C2xD4)	336,158
C₂₁⋊₆(C₂×D₄) = C₂×C₇⋊D₁₂	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₂₁	168		C21:6(C2xD4)	336,159
C₂₁⋊₇(C₂×D₄) = D₇×C₃⋊D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₂₁	84	4	C21:7(C2xD4)	336,161
C₂₁⋊₈(C₂×D₄) = S₃×C₇⋊D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₂₁	84	4	C21:8(C2xD4)	336,162
C₂₁⋊₉(C₂×D₄) = D₆⋊D₁₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₂₁	84	4+	C21:9(C2xD4)	336,163
C₂₁⋊₁₀(C₂×D₄) = C₂×D₈₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₂₁	168		C21:10(C2xD4)	336,196
C₂₁⋊₁₁(C₂×D₄) = C₆×D₂₈	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₂₁	168		C21:11(C2xD4)	336,176
C₂₁⋊₁₂(C₂×D₄) = C₁₄×D₁₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₂₁	168		C21:12(C2xD4)	336,186
C₂₁⋊₁₃(C₂×D₄) = D₄×D₂₁	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₂₁	84	4+	C21:13(C2xD4)	336,198
C₂₁⋊₁₄(C₂×D₄) = C₃×D₄×D₇	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₂₁	84	4	C21:14(C2xD4)	336,178
C₂₁⋊₁₅(C₂×D₄) = S₃×C₇×D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₂₁	84	4	C21:15(C2xD4)	336,188
C₂₁⋊₁₆(C₂×D₄) = C₂×C₂₁⋊₇D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₂₁	168		C21:16(C2xD4)	336,203
C₂₁⋊₁₇(C₂×D₄) = C₆×C₇⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₂₁	168		C21:17(C2xD4)	336,183
C₂₁⋊₁₈(C₂×D₄) = C₁₄×C₃⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₂₁	168		C21:18(C2xD4)	336,193

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