Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₂₃D₄

Direct product G=N×Q with N=C₂ and Q=C₂³.₂₃D₄

		d	ρ	Label	ID
C₂×C₂³.₂₃D₄		64		C2xC2^3.23D4	128,1019

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₂₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.₂₃D₄) = C₂⁴.₁₇Q₈	central extension (φ=1)	64		C2.1(C2^3.23D4)	128,165
C₂.₂(C₂³.₂₃D₄) = C₂⁴.₆₂₆C₂³	central extension (φ=1)	128		C2.2(C2^3.23D4)	128,168
C₂.₃(C₂³.₂₃D₄) = C₂³⋊₂C₄²	central extension (φ=1)	64		C2.3(C2^3.23D4)	128,169
C₂.₄(C₂³.₂₃D₄) = C₂³.₂₂M₄(2)	central extension (φ=1)	64		C2.4(C2^3.23D4)	128,601
C₂.₅(C₂³.₂₃D₄) = C₂⁴.₅₀D₄	central stem extension (φ=1)	64		C2.5(C2^3.23D4)	128,170
C₂.₆(C₂³.₂₃D₄) = C₂⁴.₅Q₈	central stem extension (φ=1)	64		C2.6(C2^3.23D4)	128,171
C₂.₇(C₂³.₂₃D₄) = C₂⁴.₅₂D₄	central stem extension (φ=1)	64		C2.7(C2^3.23D4)	128,172
C₂.₈(C₂³.₂₃D₄) = C₂⁴.₆₃₁C₂³	central stem extension (φ=1)	128		C2.8(C2^3.23D4)	128,173
C₂.₉(C₂³.₂₃D₄) = C₂³⋊₂M₄(2)	central stem extension (φ=1)	64		C2.9(C2^3.23D4)	128,602
C₂.₁₀(C₂³.₂₃D₄) = C₂⁴.₇₂D₄	central stem extension (φ=1)	32		C2.10(C2^3.23D4)	128,603
C₂.₁₁(C₂³.₂₃D₄) = C₂⁴.₁₆₀D₄	central stem extension (φ=1)	64		C2.11(C2^3.23D4)	128,604
C₂.₁₂(C₂³.₂₃D₄) = C₂⁴.₇₃D₄	central stem extension (φ=1)	64		C2.12(C2^3.23D4)	128,605
C₂.₁₃(C₂³.₂₃D₄) = C₂³.₃₈D₈	central stem extension (φ=1)	64		C2.13(C2^3.23D4)	128,606
C₂.₁₄(C₂³.₂₃D₄) = C₂⁴.₇₄D₄	central stem extension (φ=1)	64		C2.14(C2^3.23D4)	128,607
C₂.₁₅(C₂³.₂₃D₄) = M₄(2).₄₃D₄	central stem extension (φ=1)	32		C2.15(C2^3.23D4)	128,608
C₂.₁₆(C₂³.₂₃D₄) = (C₂×SD₁₆)⋊₁₄C₄	central stem extension (φ=1)	64		C2.16(C2^3.23D4)	128,609
C₂.₁₇(C₂³.₂₃D₄) = (C₂×C₄)⋊₉Q₁₆	central stem extension (φ=1)	128		C2.17(C2^3.23D4)	128,610
C₂.₁₈(C₂³.₂₃D₄) = (C₂×C₄)⋊₉D₈	central stem extension (φ=1)	64		C2.18(C2^3.23D4)	128,611
C₂.₁₉(C₂³.₂₃D₄) = (C₂×SD₁₆)⋊₁₅C₄	central stem extension (φ=1)	64		C2.19(C2^3.23D4)	128,612
C₂.₂₀(C₂³.₂₃D₄) = M₄(2).₄₄D₄	central stem extension (φ=1)	32	4	C2.20(C2^3.23D4)	128,613
C₂.₂₁(C₂³.₂₃D₄) = C₈.C₂²⋊C₄	central stem extension (φ=1)	32		C2.21(C2^3.23D4)	128,614
C₂.₂₂(C₂³.₂₃D₄) = C₈⋊C₂²⋊C₄	central stem extension (φ=1)	32		C2.22(C2^3.23D4)	128,615
C₂.₂₃(C₂³.₂₃D₄) = M₄(2)⋊₁₉D₄	central stem extension (φ=1)	16	4	C2.23(C2^3.23D4)	128,616
C₂.₂₄(C₂³.₂₃D₄) = C₂⁴.₂₃D₄	central stem extension (φ=1)	32		C2.24(C2^3.23D4)	128,617
C₂.₂₅(C₂³.₂₃D₄) = C₄⋊Q₈⋊₁₅C₄	central stem extension (φ=1)	32		C2.25(C2^3.23D4)	128,618
C₂.₂₆(C₂³.₂₃D₄) = C₂⁴.₂₄D₄	central stem extension (φ=1)	16		C2.26(C2^3.23D4)	128,619
C₂.₂₇(C₂³.₂₃D₄) = C₄.₄D₄⋊₁₃C₄	central stem extension (φ=1)	32		C2.27(C2^3.23D4)	128,620
C₂.₂₈(C₂³.₂₃D₄) = C₂⁵.C₂²	central stem extension (φ=1)	16		C2.28(C2^3.23D4)	128,621
C₂.₂₉(C₂³.₂₃D₄) = C₂⁴.₂₆D₄	central stem extension (φ=1)	32		C2.29(C2^3.23D4)	128,622
C₂.₃₀(C₂³.₂₃D₄) = (C₂×C₈)⋊D₄	central stem extension (φ=1)	16	4	C2.30(C2^3.23D4)	128,623
C₂.₃₁(C₂³.₂₃D₄) = C₂⁴.₁₃₅D₄	central stem extension (φ=1)	64		C2.31(C2^3.23D4)	128,624
C₂.₃₂(C₂³.₂₃D₄) = C₂³.₂₃D₈	central stem extension (φ=1)	64		C2.32(C2^3.23D4)	128,625
C₂.₃₃(C₂³.₂₃D₄) = C₂⁴.₇₅D₄	central stem extension (φ=1)	64		C2.33(C2^3.23D4)	128,626
C₂.₃₄(C₂³.₂₃D₄) = C₂⁴.₇₆D₄	central stem extension (φ=1)	64		C2.34(C2^3.23D4)	128,627
C₂.₃₅(C₂³.₂₃D₄) = (C₂×C₄)≀C₂	central stem extension (φ=1)	16		C2.35(C2^3.23D4)	128,628
C₂.₃₆(C₂³.₂₃D₄) = C₄²⋊₇D₄	central stem extension (φ=1)	32		C2.36(C2^3.23D4)	128,629
C₂.₃₇(C₂³.₂₃D₄) = C₂⁴.₇₈D₄	central stem extension (φ=1)	16		C2.37(C2^3.23D4)	128,630
C₂.₃₈(C₂³.₂₃D₄) = C₂⁴.₁₇₄C₂³	central stem extension (φ=1)	32		C2.38(C2^3.23D4)	128,631
C₂.₃₉(C₂³.₂₃D₄) = M₄(2)⋊₂₀D₄	central stem extension (φ=1)	32		C2.39(C2^3.23D4)	128,632
C₂.₄₀(C₂³.₂₃D₄) = M₄(2).₄₅D₄	central stem extension (φ=1)	32		C2.40(C2^3.23D4)	128,633
C₂.₄₁(C₂³.₂₃D₄) = M₄(2).₄₆D₄	central stem extension (φ=1)	32	8-	C2.41(C2^3.23D4)	128,634
C₂.₄₂(C₂³.₂₃D₄) = M₄(2).₄₇D₄	central stem extension (φ=1)	16	8+	C2.42(C2^3.23D4)	128,635
C₂.₄₃(C₂³.₂₃D₄) = C₄².₅D₄	central stem extension (φ=1)	16	8+	C2.43(C2^3.23D4)	128,636
C₂.₄₄(C₂³.₂₃D₄) = C₄².₆D₄	central stem extension (φ=1)	32	8-	C2.44(C2^3.23D4)	128,637
C₂.₄₅(C₂³.₂₃D₄) = C₄².₄₂₆D₄	central stem extension (φ=1)	16	4	C2.45(C2^3.23D4)	128,638
C₂.₄₆(C₂³.₂₃D₄) = M₄(2).₄₈D₄	central stem extension (φ=1)	32		C2.46(C2^3.23D4)	128,639
C₂.₄₇(C₂³.₂₃D₄) = M₄(2).₄₉D₄	central stem extension (φ=1)	64		C2.47(C2^3.23D4)	128,640
C₂.₄₈(C₂³.₂₃D₄) = C₄.(C₄×D₄)	central stem extension (φ=1)	32	8-	C2.48(C2^3.23D4)	128,641
C₂.₄₉(C₂³.₂₃D₄) = (C₂×C₈)⋊₄D₄	central stem extension (φ=1)	16	8+	C2.49(C2^3.23D4)	128,642
C₂.₅₀(C₂³.₂₃D₄) = C₄²⋊D₄	central stem extension (φ=1)	16	8+	C2.50(C2^3.23D4)	128,643
C₂.₅₁(C₂³.₂₃D₄) = C₄².₇D₄	central stem extension (φ=1)	32	8-	C2.51(C2^3.23D4)	128,644
C₂.₅₂(C₂³.₂₃D₄) = C₂⁴.₂₈D₄	central stem extension (φ=1)	16	8+	C2.52(C2^3.23D4)	128,645
C₂.₅₃(C₂³.₂₃D₄) = M₄(2)⋊₂₁D₄	central stem extension (φ=1)	16	8+	C2.53(C2^3.23D4)	128,646
C₂.₅₄(C₂³.₂₃D₄) = M₄(2).₅₀D₄	central stem extension (φ=1)	32	8-	C2.54(C2^3.23D4)	128,647

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Extensions 1→N→G→Q→1 with N=C2 and Q=C23.23D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₂₃D₄