Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³⋊₂Q₈

Direct product G=N×Q with N=C₂ and Q=C₂³⋊₂Q₈

		d	ρ	Label	ID
C₂×C₂³⋊₂Q₈		32		C2xC2^3:2Q8	128,2188

Non-split extensions G=N.Q with N=C₂ and Q=C₂³⋊₂Q₈

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂³⋊₂Q₈) = C₂⁴.₉₁D₄	central extension (φ=1)	32	C2.1(C2^3:2Q8)	128,1047
C₂.₂(C₂³⋊₂Q₈) = C₂³.₂₁₁C₂⁴	central extension (φ=1)	64	C2.2(C2^3:2Q8)	128,1061
C₂.₃(C₂³⋊₂Q₈) = C₂⁴⋊₄Q₈	central stem extension (φ=1)	32	C2.3(C2^3:2Q8)	128,1169
C₂.₄(C₂³⋊₂Q₈) = C₂³.₄₄₉C₂⁴	central stem extension (φ=1)	64	C2.4(C2^3:2Q8)	128,1281
C₂.₅(C₂³⋊₂Q₈) = C₂⁴.₅₈₄C₂³	central stem extension (φ=1)	64	C2.5(C2^3:2Q8)	128,1301
C₂.₆(C₂³⋊₂Q₈) = C₂⁴.₃₅₅C₂³	central stem extension (φ=1)	64	C2.6(C2^3:2Q8)	128,1339
C₂.₇(C₂³⋊₂Q₈) = C₂³.₅₀₈C₂⁴	central stem extension (φ=1)	64	C2.7(C2^3:2Q8)	128,1340
C₂.₈(C₂³⋊₂Q₈) = C₂⁴⋊₅Q₈	central stem extension (φ=1)	32	C2.8(C2^3:2Q8)	128,1358
C₂.₉(C₂³⋊₂Q₈) = C₂³.₅₄₆C₂⁴	central stem extension (φ=1)	64	C2.9(C2^3:2Q8)	128,1378
C₂.₁₀(C₂³⋊₂Q₈) = C₂³.₅₅₉C₂⁴	central stem extension (φ=1)	64	C2.10(C2^3:2Q8)	128,1391
C₂.₁₁(C₂³⋊₂Q₈) = C₂⁴.₃₇₉C₂³	central stem extension (φ=1)	64	C2.11(C2^3:2Q8)	128,1397
C₂.₁₂(C₂³⋊₂Q₈) = C₂³.₅₆₇C₂⁴	central stem extension (φ=1)	64	C2.12(C2^3:2Q8)	128,1399
C₂.₁₃(C₂³⋊₂Q₈) = C₂³.₅₈₃C₂⁴	central stem extension (φ=1)	64	C2.13(C2^3:2Q8)	128,1415
C₂.₁₄(C₂³⋊₂Q₈) = C₂³.₅₉₂C₂⁴	central stem extension (φ=1)	64	C2.14(C2^3:2Q8)	128,1424
C₂.₁₅(C₂³⋊₂Q₈) = C₂³.₆₃₂C₂⁴	central stem extension (φ=1)	64	C2.15(C2^3:2Q8)	128,1464
C₂.₁₆(C₂³⋊₂Q₈) = C₂⁴.₄₃₄C₂³	central stem extension (φ=1)	64	C2.16(C2^3:2Q8)	128,1480
C₂.₁₇(C₂³⋊₂Q₈) = C₂⁴.₄₄₈C₂³	central stem extension (φ=1)	64	C2.17(C2^3:2Q8)	128,1512
C₂.₁₈(C₂³⋊₂Q₈) = C₂⁴.₄₅₀C₂³	central stem extension (φ=1)	64	C2.18(C2^3:2Q8)	128,1516
C₂.₁₉(C₂³⋊₂Q₈) = C₂³.₆₉₉C₂⁴	central stem extension (φ=1)	128	C2.19(C2^3:2Q8)	128,1531
C₂.₂₀(C₂³⋊₂Q₈) = C₂⁴.₄₅₆C₂³	central stem extension (φ=1)	64	C2.20(C2^3:2Q8)	128,1536
C₂.₂₁(C₂³⋊₂Q₈) = C₂³.₇₀₆C₂⁴	central stem extension (φ=1)	128	C2.21(C2^3:2Q8)	128,1538
C₂.₂₂(C₂³⋊₂Q₈) = C₂³.₇₀₉C₂⁴	central stem extension (φ=1)	128	C2.22(C2^3:2Q8)	128,1541
C₂.₂₃(C₂³⋊₂Q₈) = C₂³.₇₁₁C₂⁴	central stem extension (φ=1)	128	C2.23(C2^3:2Q8)	128,1543
C₂.₂₄(C₂³⋊₂Q₈) = C₂⁴⋊₆Q₈	central stem extension (φ=1)	32	C2.24(C2^3:2Q8)	128,1572
C₂.₂₅(C₂³⋊₂Q₈) = C₂³.₇₄₁C₂⁴	central stem extension (φ=1)	64	C2.25(C2^3:2Q8)	128,1573
C₂.₂₆(C₂³⋊₂Q₈) = C₂⁴.₁₅Q₈	central stem extension (φ=1)	32	C2.26(C2^3:2Q8)	128,1574

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C23⋊2Q8

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³⋊₂Q₈