Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₂₄D₄

Direct product G=N×Q with N=C₂ and Q=C₂³.₂₄D₄

		d	ρ	Label	ID
C₂×C₂³.₂₄D₄		64		C2xC2^3.24D4	128,1624

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₂₄D₄

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂³.₂₄D₄) = C₄².₄₅₅D₄	central extension (φ=1)	64	C2.1(C2^3.24D4)	128,208
C₂.₂(C₂³.₂₄D₄) = C₂⁴.₁₃₂D₄	central extension (φ=1)	64	C2.2(C2^3.24D4)	128,467
C₂.₃(C₂³.₂₄D₄) = C₄×D₄⋊C₄	central extension (φ=1)	64	C2.3(C2^3.24D4)	128,492
C₂.₄(C₂³.₂₄D₄) = C₄×Q₈⋊C₄	central extension (φ=1)	128	C2.4(C2^3.24D4)	128,493
C₂.₅(C₂³.₂₄D₄) = C₄².₃₇₃D₄	central stem extension (φ=1)	64	C2.5(C2^3.24D4)	128,214
C₂.₆(C₂³.₂₄D₄) = C₄².₃₇₄D₄	central stem extension (φ=1)	64	C2.6(C2^3.24D4)	128,220
C₂.₇(C₂³.₂₄D₄) = C₄².₃₀₅D₄	central stem extension (φ=1)	64	C2.7(C2^3.24D4)	128,226
C₂.₈(C₂³.₂₄D₄) = C₄².₃₇₅D₄	central stem extension (φ=1)	32	C2.8(C2^3.24D4)	128,232
C₂.₉(C₂³.₂₄D₄) = C₂⁴.₅₃D₄	central stem extension (φ=1)	32	C2.9(C2^3.24D4)	128,233
C₂.₁₀(C₂³.₂₄D₄) = C₂⁴.₅₉D₄	central stem extension (φ=1)	32	C2.10(C2^3.24D4)	128,248
C₂.₁₁(C₂³.₂₄D₄) = C₄².₆₃D₄	central stem extension (φ=1)	32	C2.11(C2^3.24D4)	128,253
C₂.₁₂(C₂³.₂₄D₄) = C₄².₄₀₉D₄	central stem extension (φ=1)	64	C2.12(C2^3.24D4)	128,272
C₂.₁₃(C₂³.₂₄D₄) = C₄².₄₁₀D₄	central stem extension (φ=1)	64	C2.13(C2^3.24D4)	128,274
C₂.₁₄(C₂³.₂₄D₄) = C₄².₄₁₁D₄	central stem extension (φ=1)	64	C2.14(C2^3.24D4)	128,275
C₂.₁₅(C₂³.₂₄D₄) = C₄².₄₁₂D₄	central stem extension (φ=1)	64	C2.15(C2^3.24D4)	128,276
C₂.₁₆(C₂³.₂₄D₄) = C₄².₈₀D₄	central stem extension (φ=1)	64	C2.16(C2^3.24D4)	128,283
C₂.₁₇(C₂³.₂₄D₄) = C₄².₈₁D₄	central stem extension (φ=1)	64	C2.17(C2^3.24D4)	128,284
C₂.₁₈(C₂³.₂₄D₄) = C₄².₄₁₇D₄	central stem extension (φ=1)	64	C2.18(C2^3.24D4)	128,285
C₂.₁₉(C₂³.₂₄D₄) = C₄².₄₁₈D₄	central stem extension (φ=1)	64	C2.19(C2^3.24D4)	128,286
C₂.₂₀(C₂³.₂₄D₄) = C₂⁴.₆₅D₄	central stem extension (φ=1)	64	C2.20(C2^3.24D4)	128,520
C₂.₂₁(C₂³.₂₄D₄) = C₄².₁₀₀D₄	central stem extension (φ=1)	64	C2.21(C2^3.24D4)	128,536
C₂.₂₂(C₂³.₂₄D₄) = C₄².₁₀₁D₄	central stem extension (φ=1)	128	C2.22(C2^3.24D4)	128,537
C₂.₂₃(C₂³.₂₄D₄) = C₂⁴.₆₉D₄	central stem extension (φ=1)	64	C2.23(C2^3.24D4)	128,557
C₂.₂₄(C₂³.₂₄D₄) = C₂⁴.₇₃D₄	central stem extension (φ=1)	64	C2.24(C2^3.24D4)	128,605
C₂.₂₅(C₂³.₂₄D₄) = C₂⁴.₇₄D₄	central stem extension (φ=1)	64	C2.25(C2^3.24D4)	128,607
C₂.₂₆(C₂³.₂₄D₄) = C₂⁴.₁₃₅D₄	central stem extension (φ=1)	64	C2.26(C2^3.24D4)	128,624
C₂.₂₇(C₂³.₂₄D₄) = C₂³.₂₃D₈	central stem extension (φ=1)	64	C2.27(C2^3.24D4)	128,625
C₂.₂₈(C₂³.₂₄D₄) = C₄².₄₃₃D₄	central stem extension (φ=1)	64	C2.28(C2^3.24D4)	128,690
C₂.₂₉(C₂³.₂₄D₄) = C₄².₁₁₉D₄	central stem extension (φ=1)	64	C2.29(C2^3.24D4)	128,715
C₂.₃₀(C₂³.₂₄D₄) = C₄².₁₂₃D₄	central stem extension (φ=1)	128	C2.30(C2^3.24D4)	128,721
C₂.₃₁(C₂³.₂₄D₄) = C₄².₄₃₇D₄	central stem extension (φ=1)	128	C2.31(C2^3.24D4)	128,723

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Extensions 1→N→G→Q→1 with N=C2 and Q=C23.24D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₂₄D₄