Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₄²⋊₂C₂

Direct product G=N×Q with N=C₂ and Q=C₂×C₄²⋊₂C₂

		d	ρ	Label	ID
C₂²×C₄²⋊₂C₂		64		C2^2xC4^2:2C2	128,2170

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₄²⋊₂C₂

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂×C₄²⋊₂C₂) = C₂×C₄²⋊₅C₄	central extension (φ=1)	128	C2.1(C2xC4^2:2C2)	128,1014
C₂.₂(C₂×C₄²⋊₂C₂) = C₂×C₂³.₆₃C₂³	central extension (φ=1)	128	C2.2(C2xC4^2:2C2)	128,1020
C₂.₃(C₂×C₄²⋊₂C₂) = C₂×C₂⁴.C₂²	central extension (φ=1)	64	C2.3(C2xC4^2:2C2)	128,1021
C₂.₄(C₂×C₄²⋊₂C₂) = C₄×C₄²⋊₂C₂	central extension (φ=1)	64	C2.4(C2xC4^2:2C2)	128,1036
C₂.₅(C₂×C₄²⋊₂C₂) = C₂×C₂³.Q₈	central stem extension (φ=1)	64	C2.5(C2xC4^2:2C2)	128,1121
C₂.₆(C₂×C₄²⋊₂C₂) = C₂×C₂³.₁₁D₄	central stem extension (φ=1)	64	C2.6(C2xC4^2:2C2)	128,1122
C₂.₇(C₂×C₄²⋊₂C₂) = C₂×C₂³.₈₃C₂³	central stem extension (φ=1)	128	C2.7(C2xC4^2:2C2)	128,1126
C₂.₈(C₂×C₄²⋊₂C₂) = C₂×C₂³.₈₄C₂³	central stem extension (φ=1)	128	C2.8(C2xC4^2:2C2)	128,1132
C₂.₉(C₂×C₄²⋊₂C₂) = C₂³.₃₀₁C₂⁴	central stem extension (φ=1)	64	C2.9(C2xC4^2:2C2)	128,1133
C₂.₁₀(C₂×C₄²⋊₂C₂) = C₂³.₃₈₀C₂⁴	central stem extension (φ=1)	32	C2.10(C2xC4^2:2C2)	128,1212
C₂.₁₁(C₂×C₄²⋊₂C₂) = C₂⁴.₅₇₃C₂³	central stem extension (φ=1)	64	C2.11(C2xC4^2:2C2)	128,1213
C₂.₁₂(C₂×C₄²⋊₂C₂) = C₂⁴.₅₇₇C₂³	central stem extension (φ=1)	64	C2.12(C2xC4^2:2C2)	128,1225
C₂.₁₃(C₂×C₄²⋊₂C₂) = C₂⁴.₃₀₄C₂³	central stem extension (φ=1)	64	C2.13(C2xC4^2:2C2)	128,1226
C₂.₁₄(C₂×C₄²⋊₂C₂) = C₂³.₃₉₅C₂⁴	central stem extension (φ=1)	64	C2.14(C2xC4^2:2C2)	128,1227
C₂.₁₅(C₂×C₄²⋊₂C₂) = C₂³.₃₉₆C₂⁴	central stem extension (φ=1)	64	C2.15(C2xC4^2:2C2)	128,1228
C₂.₁₆(C₂×C₄²⋊₂C₂) = C₂³.₃₉₇C₂⁴	central stem extension (φ=1)	64	C2.16(C2xC4^2:2C2)	128,1229
C₂.₁₇(C₂×C₄²⋊₂C₂) = C₂³.₄₁₀C₂⁴	central stem extension (φ=1)	64	C2.17(C2xC4^2:2C2)	128,1242
C₂.₁₈(C₂×C₄²⋊₂C₂) = C₂³.₄₁₁C₂⁴	central stem extension (φ=1)	128	C2.18(C2xC4^2:2C2)	128,1243
C₂.₁₉(C₂×C₄²⋊₂C₂) = C₂³.₄₁₂C₂⁴	central stem extension (φ=1)	64	C2.19(C2xC4^2:2C2)	128,1244
C₂.₂₀(C₂×C₄²⋊₂C₂) = C₂³.₄₁₃C₂⁴	central stem extension (φ=1)	64	C2.20(C2xC4^2:2C2)	128,1245
C₂.₂₁(C₂×C₄²⋊₂C₂) = C₂³.₄₁₄C₂⁴	central stem extension (φ=1)	128	C2.21(C2xC4^2:2C2)	128,1246
C₂.₂₂(C₂×C₄²⋊₂C₂) = C₂³.₅₄₃C₂⁴	central stem extension (φ=1)	64	C2.22(C2xC4^2:2C2)	128,1375
C₂.₂₃(C₂×C₄²⋊₂C₂) = C₂³.₅₄₄C₂⁴	central stem extension (φ=1)	64	C2.23(C2xC4^2:2C2)	128,1376
C₂.₂₄(C₂×C₄²⋊₂C₂) = C₂³.₅₄₅C₂⁴	central stem extension (φ=1)	128	C2.24(C2xC4^2:2C2)	128,1377
C₂.₂₅(C₂×C₄²⋊₂C₂) = C₄²⋊₄₃D₄	central stem extension (φ=1)	64	C2.25(C2xC4^2:2C2)	128,1584
C₂.₂₆(C₂×C₄²⋊₂C₂) = C₄³⋊₁₃C₂	central stem extension (φ=1)	64	C2.26(C2xC4^2:2C2)	128,1592
C₂.₂₇(C₂×C₄²⋊₂C₂) = C₄²⋊₁₅Q₈	central stem extension (φ=1)	128	C2.27(C2xC4^2:2C2)	128,1595

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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C42⋊2C2

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₄²⋊₂C₂