Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂²

Direct product G=N×Q with N=C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₈		32		C2^2xC8	32,36

Semidirect products G=N:Q with N=C₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊C₂² = C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₈	8	4+	C8:C2^2	32,43
C₈⋊₂C₂² = C₂×D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	16		C8:2C2^2	32,39
C₈⋊₃C₂² = C₂×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	16		C8:3C2^2	32,40
C₈⋊₄C₂² = C₂×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	16		C8:4C2^2	32,37

Non-split extensions G=N.Q with N=C₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.C₂² = C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₈	16	4-	C8.C2^2	32,44
C₈.₂C₂² = D₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	16	2+	C8.2C2^2	32,18
C₈.₃C₂² = SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	16	2	C8.3C2^2	32,19
C₈.₄C₂² = Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	32	2-	C8.4C2^2	32,20
C₈.₅C₂² = C₂×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	32		C8.5C2^2	32,41
C₈.₆C₂² = C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	16	2	C8.6C2^2	32,42
C₈.₇C₂² = C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈	16	2	C8.7C2^2	32,38
C₈.₈C₂² = M₅(2)	central extension (φ=1)	16	2	C8.8C2^2	32,17

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