Extensions 1→N→G→Q→1 with N=C₂ and Q=C₈⋊₇D₄

Direct product G=N×Q with N=C₂ and Q=C₈⋊₇D₄

		d	ρ	Label	ID
C₂×C₈⋊₇D₄		64		C2xC8:7D4	128,1780

Non-split extensions G=N.Q with N=C₂ and Q=C₈⋊₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₈⋊₇D₄) = C₂³.₂₂D₈	central extension (φ=1)	64		C2.1(C8:7D4)	128,540
C₂.₂(C₈⋊₇D₄) = C₂³.₂₃D₈	central extension (φ=1)	64		C2.2(C8:7D4)	128,625
C₂.₃(C₈⋊₇D₄) = C₂.(C₈⋊₇D₄)	central extension (φ=1)	64		C2.3(C8:7D4)	128,666
C₂.₄(C₈⋊₇D₄) = C₈⋊₅(C₄⋊C₄)	central extension (φ=1)	128		C2.4(C8:7D4)	128,674
C₂.₅(C₈⋊₇D₄) = (C₂×C₄)⋊₆D₈	central extension (φ=1)	64		C2.5(C8:7D4)	128,702
C₂.₆(C₈⋊₇D₄) = C₈⋊₇D₈	central stem extension (φ=1)	64		C2.6(C8:7D4)	128,399
C₂.₇(C₈⋊₇D₄) = C₈⋊₁₃SD₁₆	central stem extension (φ=1)	64		C2.7(C8:7D4)	128,400
C₂.₈(C₈⋊₇D₄) = C₈⋊₁₀SD₁₆	central stem extension (φ=1)	64		C2.8(C8:7D4)	128,405
C₂.₉(C₈⋊₇D₄) = C₈⋊₇Q₁₆	central stem extension (φ=1)	128		C2.9(C8:7D4)	128,406
C₂.₁₀(C₈⋊₇D₄) = D₄.₂D₈	central stem extension (φ=1)	64		C2.10(C8:7D4)	128,413
C₂.₁₁(C₈⋊₇D₄) = Q₈.₂D₈	central stem extension (φ=1)	64		C2.11(C8:7D4)	128,414
C₂.₁₂(C₈⋊₇D₄) = C₂³⋊₂D₈	central stem extension (φ=1)	64		C2.12(C8:7D4)	128,731
C₂.₁₃(C₈⋊₇D₄) = C₂⁴.₈₃D₄	central stem extension (φ=1)	64		C2.13(C8:7D4)	128,765
C₂.₁₄(C₈⋊₇D₄) = (C₂×C₄)⋊₃D₈	central stem extension (φ=1)	64		C2.14(C8:7D4)	128,786
C₂.₁₅(C₈⋊₇D₄) = (C₂×C₄).₂₃D₈	central stem extension (φ=1)	64		C2.15(C8:7D4)	128,799
C₂.₁₆(C₈⋊₇D₄) = C₂³.₁₂D₈	central stem extension (φ=1)	64		C2.16(C8:7D4)	128,807
C₂.₁₇(C₈⋊₇D₄) = (C₂×C₄).₂₆D₈	central stem extension (φ=1)	128		C2.17(C8:7D4)	128,818
C₂.₁₈(C₈⋊₇D₄) = C₁₆⋊₇D₄	central stem extension (φ=1)	64		C2.18(C8:7D4)	128,947
C₂.₁₉(C₈⋊₇D₄) = C₁₆.₁₉D₄	central stem extension (φ=1)	64		C2.19(C8:7D4)	128,948
C₂.₂₀(C₈⋊₇D₄) = C₁₆⋊₈D₄	central stem extension (φ=1)	64		C2.20(C8:7D4)	128,949
C₂.₂₁(C₈⋊₇D₄) = C₁₆⋊D₄	central stem extension (φ=1)	64		C2.21(C8:7D4)	128,950
C₂.₂₂(C₈⋊₇D₄) = C₁₆.D₄	central stem extension (φ=1)	64		C2.22(C8:7D4)	128,951
C₂.₂₃(C₈⋊₇D₄) = C₁₆⋊₂D₄	central stem extension (φ=1)	64		C2.23(C8:7D4)	128,952
C₂.₂₄(C₈⋊₇D₄) = D₄.₃D₈	central stem extension (φ=1)	32	4+	C2.24(C8:7D4)	128,953
C₂.₂₅(C₈⋊₇D₄) = D₄.₄D₈	central stem extension (φ=1)	64	4-	C2.25(C8:7D4)	128,954
C₂.₂₆(C₈⋊₇D₄) = D₄.₅D₈	central stem extension (φ=1)	32	4	C2.26(C8:7D4)	128,955

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Extensions 1→N→G→Q→1 with N=C2 and Q=C8⋊7D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₈⋊₇D₄