Extensions 1→N→G→Q→1 with N=C₁₅₂ and Q=C₂

Direct product G=N×Q with N=C₁₅₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₅₂		304		C2xC152	304,22

Semidirect products G=N:Q with N=C₁₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅₂⋊₁C₂ = D₁₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	152	2+	C152:1C2	304,6
C₁₅₂⋊₂C₂ = C₁₅₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	152	2	C152:2C2	304,5
C₁₅₂⋊₃C₂ = C₈×D₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	152	2	C152:3C2	304,3
C₁₅₂⋊₄C₂ = C₈⋊D₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	152	2	C152:4C2	304,4
C₁₅₂⋊₅C₂ = D₈×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	152	2	C152:5C2	304,24
C₁₅₂⋊₆C₂ = SD₁₆×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	152	2	C152:6C2	304,25
C₁₅₂⋊₇C₂ = M₄(2)×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	152	2	C152:7C2	304,23

Non-split extensions G=N.Q with N=C₁₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅₂.₁C₂ = Dic₇₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	304	2-	C152.1C2	304,7
C₁₅₂.₂C₂ = C₁₉⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	304	2	C152.2C2	304,1
C₁₅₂.₃C₂ = Q₁₆×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₂	304	2	C152.3C2	304,26

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