Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂≀C₂²

Direct product G=N×Q with N=C₂ and Q=C₂≀C₂²

		d	ρ	Label	ID
C₂×C₂≀C₂²		16		C2xC2wrC2^2	128,1755

Non-split extensions G=N.Q with N=C₂ and Q=C₂≀C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁C₂≀C₂² = 2₊¹⁺⁴⋊₂C₄	central extension (φ=1)	32		C2.1C2wrC2^2	128,522
C₂.₂C₂≀C₂² = C₂⁴.₂₂D₄	central extension (φ=1)	32		C2.2C2wrC2^2	128,599
C₂.₃C₂≀C₂² = C₂⁵.C₂²	central extension (φ=1)	16		C2.3C2wrC2^2	128,621
C₂.₄C₂≀C₂² = C₂³⋊D₈	central stem extension (φ=1)	16		C2.4C2wrC2^2	128,327
C₂.₅C₂≀C₂² = C₂³⋊SD₁₆	central stem extension (φ=1)	16		C2.5C2wrC2^2	128,328
C₂.₆C₂≀C₂² = C₄⋊C₄.D₄	central stem extension (φ=1)	32		C2.6C2wrC2^2	128,329
C₂.₇C₂≀C₂² = (C₂×C₄)⋊D₈	central stem extension (φ=1)	32		C2.7C2wrC2^2	128,330
C₂.₈C₂≀C₂² = (C₂×C₄)⋊SD₁₆	central stem extension (φ=1)	32		C2.8C2wrC2^2	128,331
C₂.₉C₂≀C₂² = C₂⁴.₉D₄	central stem extension (φ=1)	16		C2.9C2wrC2^2	128,332
C₂.₁₀C₂≀C₂² = C₂³⋊₂SD₁₆	central stem extension (φ=1)	32		C2.10C2wrC2^2	128,333
C₂.₁₁C₂≀C₂² = C₂³⋊Q₁₆	central stem extension (φ=1)	32		C2.11C2wrC2^2	128,334
C₂.₁₂C₂≀C₂² = C₄⋊C₄.₆D₄	central stem extension (φ=1)	32		C2.12C2wrC2^2	128,335
C₂.₁₃C₂≀C₂² = Q₈⋊D₄⋊C₂	central stem extension (φ=1)	32		C2.13C2wrC2^2	128,336
C₂.₁₄C₂≀C₂² = (C₂×C₄)⋊Q₁₆	central stem extension (φ=1)	32		C2.14C2wrC2^2	128,337
C₂.₁₅C₂≀C₂² = C₂⁴.₁₂D₄	central stem extension (φ=1)	32		C2.15C2wrC2^2	128,338
C₂.₁₆C₂≀C₂² = C₂⁴⋊D₄	central stem extension (φ=1)	16		C2.16C2wrC2^2	128,753
C₂.₁₇C₂≀C₂² = C₂⁴⋊₂Q₈	central stem extension (φ=1)	16		C2.17C2wrC2^2	128,761
C₂.₁₈C₂≀C₂² = C₂⁴.₃₃D₄	central stem extension (φ=1)	32		C2.18C2wrC2^2	128,776
C₂.₁₉C₂≀C₂² = C₂⁴.₁₈₂C₂³	central stem extension (φ=1)	32		C2.19C2wrC2^2	128,794
C₂.₂₀C₂≀C₂² = D₄≀C₂	central stem extension (φ=1)	8	4+	C2.20C2wrC2^2	128,928
C₂.₂₁C₂≀C₂² = C₄²⋊₄D₄	central stem extension (φ=1)	16	4	C2.21C2wrC2^2	128,929
C₂.₂₂C₂≀C₂² = C₄².₁₃D₄	central stem extension (φ=1)	16	4	C2.22C2wrC2^2	128,930
C₂.₂₃C₂≀C₂² = C₄²⋊₅D₄	central stem extension (φ=1)	16	8+	C2.23C2wrC2^2	128,931
C₂.₂₄C₂≀C₂² = C₄²⋊₆D₄	central stem extension (φ=1)	16	8+	C2.24C2wrC2^2	128,932
C₂.₂₅C₂≀C₂² = C₄².₁₄D₄	central stem extension (φ=1)	32	8-	C2.25C2wrC2^2	128,933
C₂.₂₆C₂≀C₂² = C₄².₁₅D₄	central stem extension (φ=1)	16	8+	C2.26C2wrC2^2	128,934
C₂.₂₇C₂≀C₂² = C₄².₁₆D₄	central stem extension (φ=1)	32	8-	C2.27C2wrC2^2	128,935
C₂.₂₈C₂≀C₂² = C₄².₁₇D₄	central stem extension (φ=1)	16	4	C2.28C2wrC2^2	128,936
C₂.₂₉C₂≀C₂² = Q₈≀C₂	central stem extension (φ=1)	16	4-	C2.29C2wrC2^2	128,937

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Extensions 1→N→G→Q→1 with N=C2 and Q=C2≀C22

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂≀C₂²