Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₃₆D₄

Direct product G=N×Q with N=C₂ and Q=C₂³.₃₆D₄

		d	ρ	Label	ID
C₂×C₂³.₃₆D₄		64		C2xC2^3.36D4	128,1627

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₃₆D₄

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂³.₃₆D₄) = C₄².₃₉₇D₄	central extension (φ=1)	64	C2.1(C2^3.36D4)	128,209
C₂.₂(C₂³.₃₆D₄) = C₂⁴.₁₅₂D₄	central extension (φ=1)	64	C2.2(C2^3.36D4)	128,468
C₂.₃(C₂³.₃₆D₄) = D₄⋊C₄²	central extension (φ=1)	64	C2.3(C2^3.36D4)	128,494
C₂.₄(C₂³.₃₆D₄) = Q₈⋊C₄²	central extension (φ=1)	128	C2.4(C2^3.36D4)	128,495
C₂.₅(C₂³.₃₆D₄) = C₄².₄₇D₄	central stem extension (φ=1)	64	C2.5(C2^3.36D4)	128,215
C₂.₆(C₂³.₃₆D₄) = D₄⋊₄M₄(2)	central stem extension (φ=1)	64	C2.6(C2^3.36D4)	128,221
C₂.₇(C₂³.₃₆D₄) = C₄².₅₂D₄	central stem extension (φ=1)	64	C2.7(C2^3.36D4)	128,227
C₂.₈(C₂³.₃₆D₄) = C₂⁴.₁₅₀D₄	central stem extension (φ=1)	16	C2.8(C2^3.36D4)	128,236
C₂.₉(C₂³.₃₆D₄) = C₄².₅₇D₄	central stem extension (φ=1)	32	C2.9(C2^3.36D4)	128,241
C₂.₁₀(C₂³.₃₆D₄) = C₄².₅₈D₄	central stem extension (φ=1)	32	C2.10(C2^3.36D4)	128,244
C₂.₁₁(C₂³.₃₆D₄) = C₂⁴.₅₈D₄	central stem extension (φ=1)	32	C2.11(C2^3.36D4)	128,245
C₂.₁₂(C₂³.₃₆D₄) = C₄².₇₈D₄	central stem extension (φ=1)	64	C2.12(C2^3.36D4)	128,279
C₂.₁₃(C₂³.₃₆D₄) = C₄².₇₉D₄	central stem extension (φ=1)	64	C2.13(C2^3.36D4)	128,282
C₂.₁₄(C₂³.₃₆D₄) = C₄².₈₀D₄	central stem extension (φ=1)	64	C2.14(C2^3.36D4)	128,283
C₂.₁₅(C₂³.₃₆D₄) = C₄².₈₁D₄	central stem extension (φ=1)	64	C2.15(C2^3.36D4)	128,284
C₂.₁₆(C₂³.₃₆D₄) = C₄².₈₄D₄	central stem extension (φ=1)	64	C2.16(C2^3.36D4)	128,289
C₂.₁₇(C₂³.₃₆D₄) = C₄².₈₆D₄	central stem extension (φ=1)	64	C2.17(C2^3.36D4)	128,291
C₂.₁₈(C₂³.₃₆D₄) = C₄².₈₇D₄	central stem extension (φ=1)	64	C2.18(C2^3.36D4)	128,292
C₂.₁₉(C₂³.₃₆D₄) = C₄².₈₈D₄	central stem extension (φ=1)	64	C2.19(C2^3.36D4)	128,293
C₂.₂₀(C₂³.₃₆D₄) = C₂⁴.₆₅D₄	central stem extension (φ=1)	64	C2.20(C2^3.36D4)	128,520
C₂.₂₁(C₂³.₃₆D₄) = C₄².₉₈D₄	central stem extension (φ=1)	64	C2.21(C2^3.36D4)	128,534
C₂.₂₂(C₂³.₃₆D₄) = C₄².₉₉D₄	central stem extension (φ=1)	128	C2.22(C2^3.36D4)	128,535
C₂.₂₃(C₂³.₃₆D₄) = C₂⁴.₆₉D₄	central stem extension (φ=1)	64	C2.23(C2^3.36D4)	128,557
C₂.₂₄(C₂³.₃₆D₄) = C₂⁴.₁₆₀D₄	central stem extension (φ=1)	64	C2.24(C2^3.36D4)	128,604
C₂.₂₅(C₂³.₃₆D₄) = C₂³.₃₈D₈	central stem extension (φ=1)	64	C2.25(C2^3.36D4)	128,606
C₂.₂₆(C₂³.₃₆D₄) = C₂⁴.₇₅D₄	central stem extension (φ=1)	64	C2.26(C2^3.36D4)	128,626
C₂.₂₇(C₂³.₃₆D₄) = C₂⁴.₇₆D₄	central stem extension (φ=1)	64	C2.27(C2^3.36D4)	128,627
C₂.₂₈(C₂³.₃₆D₄) = C₄².₁₁₀D₄	central stem extension (φ=1)	64	C2.28(C2^3.36D4)	128,691
C₂.₂₉(C₂³.₃₆D₄) = C₄².₁₁₉D₄	central stem extension (φ=1)	64	C2.29(C2^3.36D4)	128,715
C₂.₃₀(C₂³.₃₆D₄) = C₄².₁₂₃D₄	central stem extension (φ=1)	128	C2.30(C2^3.36D4)	128,721
C₂.₃₁(C₂³.₃₆D₄) = C₄².₁₂₄D₄	central stem extension (φ=1)	128	C2.31(C2^3.36D4)	128,724

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Extensions 1→N→G→Q→1 with N=C2 and Q=C23.36D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₃₆D₄