Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₁₀D₄

Direct product G=N×Q with N=C₂ and Q=C₂³.₁₀D₄

		d	ρ	Label	ID
C₂×C₂³.₁₀D₄		64		C2xC2^3.10D4	128,1118

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.₁₀D₄) = C₂⁴.₅₀D₄	central extension (φ=1)	64		C2.1(C2^3.10D4)	128,170
C₂.₂(C₂³.₁₀D₄) = C₂⁴.₅Q₈	central extension (φ=1)	64		C2.2(C2^3.10D4)	128,171
C₂.₃(C₂³.₁₀D₄) = C₂⁴.₅₂D₄	central extension (φ=1)	64		C2.3(C2^3.10D4)	128,172
C₂.₄(C₂³.₁₀D₄) = C₂⁴.₆₃₁C₂³	central extension (φ=1)	128		C2.4(C2^3.10D4)	128,173
C₂.₅(C₂³.₁₀D₄) = C₂⁴.₆₃₂C₂³	central extension (φ=1)	128		C2.5(C2^3.10D4)	128,174
C₂.₆(C₂³.₁₀D₄) = C₂⁴.₈₃D₄	central stem extension (φ=1)	64		C2.6(C2^3.10D4)	128,765
C₂.₇(C₂³.₁₀D₄) = C₂⁴.₈₄D₄	central stem extension (φ=1)	64		C2.7(C2^3.10D4)	128,766
C₂.₈(C₂³.₁₀D₄) = C₂⁴.₈₅D₄	central stem extension (φ=1)	64		C2.8(C2^3.10D4)	128,767
C₂.₉(C₂³.₁₀D₄) = C₂⁴.₈₆D₄	central stem extension (φ=1)	64		C2.9(C2^3.10D4)	128,768
C₂.₁₀(C₂³.₁₀D₄) = M₄(2)⋊₆D₄	central stem extension (φ=1)	32		C2.10(C2^3.10D4)	128,769
C₂.₁₁(C₂³.₁₀D₄) = M₄(2).₇D₄	central stem extension (φ=1)	32		C2.11(C2^3.10D4)	128,770
C₂.₁₂(C₂³.₁₀D₄) = C₄²⋊₁₁D₄	central stem extension (φ=1)	32		C2.12(C2^3.10D4)	128,771
C₂.₁₃(C₂³.₁₀D₄) = C₄²⋊₁₂D₄	central stem extension (φ=1)	32		C2.13(C2^3.10D4)	128,772
C₂.₁₄(C₂³.₁₀D₄) = C₄⋊C₄⋊₇D₄	central stem extension (φ=1)	64		C2.14(C2^3.10D4)	128,773
C₂.₁₅(C₂³.₁₀D₄) = C₄⋊C₄.₉₄D₄	central stem extension (φ=1)	64		C2.15(C2^3.10D4)	128,774
C₂.₁₆(C₂³.₁₀D₄) = C₄⋊C₄.₉₅D₄	central stem extension (φ=1)	128		C2.16(C2^3.10D4)	128,775
C₂.₁₇(C₂³.₁₀D₄) = C₂⁴.₃₃D₄	central stem extension (φ=1)	32		C2.17(C2^3.10D4)	128,776
C₂.₁₈(C₂³.₁₀D₄) = C₄⋊C₄.₉₆D₄	central stem extension (φ=1)	32		C2.18(C2^3.10D4)	128,777
C₂.₁₉(C₂³.₁₀D₄) = C₄⋊C₄.₉₇D₄	central stem extension (φ=1)	32		C2.19(C2^3.10D4)	128,778
C₂.₂₀(C₂³.₁₀D₄) = C₄⋊C₄.₉₈D₄	central stem extension (φ=1)	64		C2.20(C2^3.10D4)	128,779
C₂.₂₁(C₂³.₁₀D₄) = M₄(2).₈D₄	central stem extension (φ=1)	16	8+	C2.21(C2^3.10D4)	128,780
C₂.₂₂(C₂³.₁₀D₄) = M₄(2).₉D₄	central stem extension (φ=1)	32	8-	C2.22(C2^3.10D4)	128,781
C₂.₂₃(C₂³.₁₀D₄) = C₄².₁₃₁D₄	central stem extension (φ=1)	16	4	C2.23(C2^3.10D4)	128,782
C₂.₂₄(C₂³.₁₀D₄) = M₄(2).₁₀D₄	central stem extension (φ=1)	32		C2.24(C2^3.10D4)	128,783
C₂.₂₅(C₂³.₁₀D₄) = M₄(2).₁₁D₄	central stem extension (φ=1)	64		C2.25(C2^3.10D4)	128,784
C₂.₂₆(C₂³.₁₀D₄) = C₂²⋊C₄.₇D₄	central stem extension (φ=1)	32	4	C2.26(C2^3.10D4)	128,785
C₂.₂₇(C₂³.₁₀D₄) = (C₂×C₄)⋊₃D₈	central stem extension (φ=1)	64		C2.27(C2^3.10D4)	128,786
C₂.₂₈(C₂³.₁₀D₄) = (C₂×C₄)⋊₅SD₁₆	central stem extension (φ=1)	64		C2.28(C2^3.10D4)	128,787
C₂.₂₉(C₂³.₁₀D₄) = (C₂×C₄)⋊₃Q₁₆	central stem extension (φ=1)	128		C2.29(C2^3.10D4)	128,788

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C23.10D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₁₀D₄