Extensions 1→N→G→Q→1 with N=C₂ and Q=D₇×D₈

Direct product G=N×Q with N=C₂ and Q=D₇×D₈

		d	ρ	Label	ID
C₂×D₇×D₈		112		C2xD7xD8	448,1207

Non-split extensions G=N.Q with N=C₂ and Q=D₇×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₇×D₈) = Dic₇⋊₄D₈	central extension (φ=1)	224		C2.1(D7xD8)	448,290
C₂.₂(D₇×D₈) = D₇×D₄⋊C₄	central extension (φ=1)	112		C2.2(D7xD8)	448,303
C₂.₃(D₇×D₈) = Dic₇⋊₅D₈	central extension (φ=1)	224		C2.3(D7xD8)	448,406
C₂.₄(D₇×D₈) = D₇×C₂.D₈	central extension (φ=1)	224		C2.4(D7xD8)	448,413
C₂.₅(D₇×D₈) = D₈×Dic₇	central extension (φ=1)	224		C2.5(D7xD8)	448,683
C₂.₆(D₇×D₈) = Dic₇.D₈	central stem extension (φ=1)	224		C2.6(D7xD8)	448,293
C₂.₇(D₇×D₈) = Dic₇.SD₁₆	central stem extension (φ=1)	224		C2.7(D7xD8)	448,294
C₂.₈(D₇×D₈) = D₄⋊D₂₈	central stem extension (φ=1)	112		C2.8(D7xD8)	448,307
C₂.₉(D₇×D₈) = D₁₄.D₈	central stem extension (φ=1)	224		C2.9(D7xD8)	448,308
C₂.₁₀(D₇×D₈) = D₁₄⋊D₈	central stem extension (φ=1)	224		C2.10(D7xD8)	448,309
C₂.₁₁(D₇×D₈) = D₂₈⋊₃D₄	central stem extension (φ=1)	224		C2.11(D7xD8)	448,320
C₂.₁₂(D₇×D₈) = C₅₆⋊₂Q₈	central stem extension (φ=1)	448		C2.12(D7xD8)	448,408
C₂.₁₃(D₇×D₈) = D₁₄.₅D₈	central stem extension (φ=1)	224		C2.13(D7xD8)	448,416
C₂.₁₄(D₇×D₈) = C₈⋊₇D₂₈	central stem extension (φ=1)	224		C2.14(D7xD8)	448,417
C₂.₁₅(D₇×D₈) = D₂₈⋊₂Q₈	central stem extension (φ=1)	224		C2.15(D7xD8)	448,424
C₂.₁₆(D₇×D₈) = D₇×D₁₆	central stem extension (φ=1)	112	4+	C2.16(D7xD8)	448,444
C₂.₁₇(D₇×D₈) = D₈⋊D₁₄	central stem extension (φ=1)	112	4	C2.17(D7xD8)	448,445
C₂.₁₈(D₇×D₈) = D₁₆⋊₃D₇	central stem extension (φ=1)	224	4-	C2.18(D7xD8)	448,446
C₂.₁₉(D₇×D₈) = D₇×SD₃₂	central stem extension (φ=1)	112	4	C2.19(D7xD8)	448,447
C₂.₂₀(D₇×D₈) = D₁₁₂⋊C₂	central stem extension (φ=1)	112	4+	C2.20(D7xD8)	448,448
C₂.₂₁(D₇×D₈) = SD₃₂⋊D₇	central stem extension (φ=1)	224	4-	C2.21(D7xD8)	448,449
C₂.₂₂(D₇×D₈) = SD₃₂⋊₃D₇	central stem extension (φ=1)	224	4	C2.22(D7xD8)	448,450
C₂.₂₃(D₇×D₈) = D₇×Q₃₂	central stem extension (φ=1)	224	4-	C2.23(D7xD8)	448,451
C₂.₂₄(D₇×D₈) = Q₃₂⋊D₇	central stem extension (φ=1)	224	4	C2.24(D7xD8)	448,452
C₂.₂₅(D₇×D₈) = Q₃₂⋊₃D₇	central stem extension (φ=1)	224	4+	C2.25(D7xD8)	448,453
C₂.₂₆(D₇×D₈) = Dic₇⋊D₈	central stem extension (φ=1)	224		C2.26(D7xD8)	448,684
C₂.₂₇(D₇×D₈) = C₅₆⋊₅D₄	central stem extension (φ=1)	224		C2.27(D7xD8)	448,685
C₂.₂₈(D₇×D₈) = D₂₈⋊D₄	central stem extension (φ=1)	112		C2.28(D7xD8)	448,690
C₂.₂₉(D₇×D₈) = C₅₆⋊₆D₄	central stem extension (φ=1)	224		C2.29(D7xD8)	448,691

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Extensions 1→N→G→Q→1 with N=C2 and Q=D7×D8

Extensions 1→N→G→Q→1 with N=C₂ and Q=D₇×D₈