Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈⋊C₂²

Direct product G=N×Q with N=C₂² and Q=C₈⋊C₂²

		d	ρ	Label	ID
C₂²×C₈⋊C₂²		32		C2^2xC8:C2^2	128,2310

Semidirect products G=N:Q with N=C₂² and Q=C₈⋊C₂²

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(C₈⋊C₂²) = M₄(2)⋊₁₄D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₂²	32	C2^2:1(C8:C2^2)	128,1787
C₂²⋊₂(C₈⋊C₂²) = D₈⋊₉D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₂²	32	C2^2:2(C8:C2^2)	128,1996
C₂²⋊₃(C₈⋊C₂²) = SD₁₆⋊D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₂²	32	C2^2:3(C8:C2^2)	128,1997
C₂²⋊₄(C₈⋊C₂²) = C₂⁴.₁₇₇D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	16	C2^2:4(C8:C2^2)	128,1735
C₂²⋊₅(C₈⋊C₂²) = C₂⁴.₁₀₅D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2:5(C8:C2^2)	128,1738

Non-split extensions G=N.Q with N=C₂² and Q=C₈⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₈⋊C₂²) = C₄².₂₅₇D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₂²	64		C2^2.1(C8:C2^2)	128,1912
C₂².₂(C₈⋊C₂²) = C₂⁴.₁₂₁D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₂²	32		C2^2.2(C8:C2^2)	128,1920
C₂².₃(C₈⋊C₂²) = C₄².₂₉₅D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₂²	64		C2^2.3(C8:C2^2)	128,1979
C₂².₄(C₈⋊C₂²) = Q₁₆.₁₀D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₂²	32	4+	C2^2.4(C8:C2^2)	128,924
C₂².₅(C₈⋊C₂²) = Q₁₆.D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.5(C8:C2^2)	128,925
C₂².₆(C₈⋊C₂²) = D₈.₃D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.6(C8:C2^2)	128,926
C₂².₇(C₈⋊C₂²) = D₈.₁₂D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₂²	64	4-	C2^2.7(C8:C2^2)	128,927
C₂².₈(C₈⋊C₂²) = C₄².₄₁C₂³	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₂²	32		C2^2.8(C8:C2^2)	128,2038
C₂².₉(C₈⋊C₂²) = C₄².₄₅C₂³	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₂²	32		C2^2.9(C8:C2^2)	128,2042
C₂².₁₀(C₈⋊C₂²) = C₄².₅₇C₂³	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₂²	64		C2^2.10(C8:C2^2)	128,2075
C₂².₁₁(C₈⋊C₂²) = C₄².₄₃C₂³	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₂²	64		C2^2.11(C8:C2^2)	128,2040
C₂².₁₂(C₈⋊C₂²) = C₄².₅₃C₂³	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₂²	32		C2^2.12(C8:C2^2)	128,2050
C₂².₁₃(C₈⋊C₂²) = C₄².₅₉C₂³	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₂²	64		C2^2.13(C8:C2^2)	128,2077
C₂².₁₄(C₈⋊C₂²) = C₂⁴.₁₅₀D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	16		C2^2.14(C8:C2^2)	128,236
C₂².₁₅(C₈⋊C₂²) = C₄².₅₇D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.15(C8:C2^2)	128,241
C₂².₁₆(C₈⋊C₂²) = C₄².₅₈D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.16(C8:C2^2)	128,244
C₂².₁₇(C₈⋊C₂²) = C₂⁴.₅₈D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.17(C8:C2^2)	128,245
C₂².₁₈(C₈⋊C₂²) = C₄⋊C₄.D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.18(C8:C2^2)	128,329
C₂².₁₉(C₈⋊C₂²) = C₂⁴.₉D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	16		C2^2.19(C8:C2^2)	128,332
C₂².₂₀(C₈⋊C₂²) = C₄⋊C₄.₁₂D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.20(C8:C2^2)	128,341
C₂².₂₁(C₈⋊C₂²) = C₂⁴.₁₅D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.21(C8:C2^2)	128,344
C₂².₂₂(C₈⋊C₂²) = Q₃₂⋊C₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32	8-	C2^2.22(C8:C2^2)	128,912
C₂².₂₃(C₈⋊C₂²) = D₁₆⋊C₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	16	8+	C2^2.23(C8:C2^2)	128,913
C₂².₂₄(C₈⋊C₂²) = C₈.₃D₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.24(C8:C2^2)	128,944
C₂².₂₅(C₈⋊C₂²) = D₈⋊₃D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	16	4+	C2^2.25(C8:C2^2)	128,945
C₂².₂₆(C₈⋊C₂²) = C₈.₅D₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32	4-	C2^2.26(C8:C2^2)	128,946
C₂².₂₇(C₈⋊C₂²) = D₈⋊₃Q₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.27(C8:C2^2)	128,962
C₂².₂₈(C₈⋊C₂²) = D₈.₂Q₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.28(C8:C2^2)	128,963
C₂².₂₉(C₈⋊C₂²) = C₂⁴.₁₈₃D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.29(C8:C2^2)	128,1824
C₂².₃₀(C₈⋊C₂²) = C₄².₂₃₂D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.30(C8:C2^2)	128,1846
C₂².₃₁(C₈⋊C₂²) = C₂⁴.₁₂₇D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.31(C8:C2^2)	128,1926
C₂².₃₂(C₈⋊C₂²) = C₄².₂₇₅D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.32(C8:C2^2)	128,1949
C₂².₃₃(C₈⋊C₂²) = C₄².₂₉₀D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₂²	64		C2^2.33(C8:C2^2)	128,1970
C₂².₃₄(C₈⋊C₂²) = C₄².₅₅D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.34(C8:C2^2)	128,237
C₂².₃₅(C₈⋊C₂²) = C₂⁴.₅₄D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.35(C8:C2^2)	128,239
C₂².₃₆(C₈⋊C₂²) = C₂⁴.₅₆D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.36(C8:C2^2)	128,242
C₂².₃₇(C₈⋊C₂²) = C₄².₅₉D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.37(C8:C2^2)	128,246
C₂².₃₈(C₈⋊C₂²) = C₂³⋊D₈	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	16		C2^2.38(C8:C2^2)	128,327
C₂².₃₉(C₈⋊C₂²) = (C₂×C₄)⋊D₈	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.39(C8:C2^2)	128,330
C₂².₄₀(C₈⋊C₂²) = C₂³⋊₂SD₁₆	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.40(C8:C2^2)	128,333
C₂².₄₁(C₈⋊C₂²) = Q₈⋊D₄⋊C₂	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.41(C8:C2^2)	128,336
C₂².₄₂(C₈⋊C₂²) = C₂³.₅D₈	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.42(C8:C2^2)	128,339
C₂².₄₃(C₈⋊C₂²) = (C₂×C₄).₅D₈	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.43(C8:C2^2)	128,342
C₂².₄₄(C₈⋊C₂²) = C₂⁴.₁₆D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.44(C8:C2^2)	128,345
C₂².₄₅(C₈⋊C₂²) = C₄⋊C₄.₁₉D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.45(C8:C2^2)	128,348
C₂².₄₆(C₈⋊C₂²) = C₂⁴.₁₁₇D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.46(C8:C2^2)	128,1826
C₂².₄₇(C₈⋊C₂²) = C₄².₂₂₇D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.47(C8:C2^2)	128,1841
C₂².₄₈(C₈⋊C₂²) = C₄².₂₃₀D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	64		C2^2.48(C8:C2^2)	128,1844
C₂².₄₉(C₈⋊C₂²) = C₂⁴.₁₂₅D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.49(C8:C2^2)	128,1924
C₂².₅₀(C₈⋊C₂²) = C₂⁴.₁₂₆D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.50(C8:C2^2)	128,1925
C₂².₅₁(C₈⋊C₂²) = C₄².₂₇₁D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.51(C8:C2^2)	128,1945
C₂².₅₂(C₈⋊C₂²) = C₄².₂₈₆D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	64		C2^2.52(C8:C2^2)	128,1966
C₂².₅₃(C₈⋊C₂²) = C₂⁴.₁₅₂D₄	central extension (φ=1)	64		C2^2.53(C8:C2^2)	128,468
C₂².₅₄(C₈⋊C₂²) = D₄⋊C₄²	central extension (φ=1)	64		C2^2.54(C8:C2^2)	128,494
C₂².₅₅(C₈⋊C₂²) = Q₈⋊C₄²	central extension (φ=1)	128		C2^2.55(C8:C2^2)	128,495
C₂².₅₆(C₈⋊C₂²) = C₈⋊C₄²	central extension (φ=1)	128		C2^2.56(C8:C2^2)	128,508
C₂².₅₇(C₈⋊C₂²) = C₂³.₃₅D₈	central extension (φ=1)	32		C2^2.57(C8:C2^2)	128,518
C₂².₅₈(C₈⋊C₂²) = C₂⁴.₆₅D₄	central extension (φ=1)	64		C2^2.58(C8:C2^2)	128,520
C₂².₅₉(C₈⋊C₂²) = C₄².₉₈D₄	central extension (φ=1)	64		C2^2.59(C8:C2^2)	128,534
C₂².₆₀(C₈⋊C₂²) = C₄².₉₉D₄	central extension (φ=1)	128		C2^2.60(C8:C2^2)	128,535
C₂².₆₁(C₈⋊C₂²) = C₄².₁₀₀D₄	central extension (φ=1)	64		C2^2.61(C8:C2^2)	128,536
C₂².₆₂(C₈⋊C₂²) = C₂⁴.₆₇D₄	central extension (φ=1)	64		C2^2.62(C8:C2^2)	128,541
C₂².₆₃(C₈⋊C₂²) = C₂⁴.₁₅₇D₄	central extension (φ=1)	64		C2^2.63(C8:C2^2)	128,556
C₂².₆₄(C₈⋊C₂²) = C₂⁴.₆₉D₄	central extension (φ=1)	64		C2^2.64(C8:C2^2)	128,557
C₂².₆₅(C₈⋊C₂²) = C₄².₂₄Q₈	central extension (φ=1)	128		C2^2.65(C8:C2^2)	128,568
C₂².₆₆(C₈⋊C₂²) = C₄².₂₆Q₈	central extension (φ=1)	128		C2^2.66(C8:C2^2)	128,579
C₂².₆₇(C₈⋊C₂²) = C₂³.₃₇D₈	central extension (φ=1)	64		C2^2.67(C8:C2^2)	128,584
C₂².₆₈(C₈⋊C₂²) = C₂⁴.₁₅₉D₄	central extension (φ=1)	64		C2^2.68(C8:C2^2)	128,585
C₂².₆₉(C₈⋊C₂²) = C₂⁴.₇₁D₄	central extension (φ=1)	64		C2^2.69(C8:C2^2)	128,586
C₂².₇₀(C₈⋊C₂²) = C₂.(C₄×D₈)	central extension (φ=1)	64		C2^2.70(C8:C2^2)	128,594
C₂².₇₁(C₈⋊C₂²) = Q₈⋊(C₄⋊C₄)	central extension (φ=1)	128		C2^2.71(C8:C2^2)	128,595
C₂².₇₂(C₈⋊C₂²) = D₄⋊(C₄⋊C₄)	central extension (φ=1)	64		C2^2.72(C8:C2^2)	128,596
C₂².₇₃(C₈⋊C₂²) = C₂⁴.₁₆₀D₄	central extension (φ=1)	64		C2^2.73(C8:C2^2)	128,604
C₂².₇₄(C₈⋊C₂²) = C₂³.₃₈D₈	central extension (φ=1)	64		C2^2.74(C8:C2^2)	128,606
C₂².₇₅(C₈⋊C₂²) = C₂⁴.₇₄D₄	central extension (φ=1)	64		C2^2.75(C8:C2^2)	128,607
C₂².₇₆(C₈⋊C₂²) = (C₂×SD₁₆)⋊₁₄C₄	central extension (φ=1)	64		C2^2.76(C8:C2^2)	128,609
C₂².₇₇(C₈⋊C₂²) = (C₂×C₄)⋊₉D₈	central extension (φ=1)	64		C2^2.77(C8:C2^2)	128,611
C₂².₇₈(C₈⋊C₂²) = (C₂×SD₁₆)⋊₁₅C₄	central extension (φ=1)	64		C2^2.78(C8:C2^2)	128,612
C₂².₇₉(C₈⋊C₂²) = C₂⁴.₇₅D₄	central extension (φ=1)	64		C2^2.79(C8:C2^2)	128,626
C₂².₈₀(C₈⋊C₂²) = C₂⁴.₇₆D₄	central extension (φ=1)	64		C2^2.80(C8:C2^2)	128,627
C₂².₈₁(C₈⋊C₂²) = C₄.Q₈⋊₉C₄	central extension (φ=1)	128		C2^2.81(C8:C2^2)	128,651
C₂².₈₂(C₈⋊C₂²) = C₄.Q₈⋊₁₀C₄	central extension (φ=1)	128		C2^2.82(C8:C2^2)	128,652
C₂².₈₃(C₈⋊C₂²) = C₂.D₈⋊₅C₄	central extension (φ=1)	128		C2^2.83(C8:C2^2)	128,653
C₂².₈₄(C₈⋊C₂²) = D₄⋊C₄⋊C₄	central extension (φ=1)	64		C2^2.84(C8:C2^2)	128,657
C₂².₈₅(C₈⋊C₂²) = C₄.₆₇(C₄×D₄)	central extension (φ=1)	64		C2^2.85(C8:C2^2)	128,658
C₂².₈₆(C₈⋊C₂²) = C₂.(C₄×Q₁₆)	central extension (φ=1)	128		C2^2.86(C8:C2^2)	128,660
C₂².₈₇(C₈⋊C₂²) = C₂.(C₈⋊D₄)	central extension (φ=1)	128		C2^2.87(C8:C2^2)	128,667
C₂².₈₈(C₈⋊C₂²) = C₂.(C₈⋊₂D₄)	central extension (φ=1)	64		C2^2.88(C8:C2^2)	128,668
C₂².₈₉(C₈⋊C₂²) = C₄.(C₄×Q₈)	central extension (φ=1)	128		C2^2.89(C8:C2^2)	128,675
C₂².₉₀(C₈⋊C₂²) = C₈⋊(C₄⋊C₄)	central extension (φ=1)	128		C2^2.90(C8:C2^2)	128,676
C₂².₉₁(C₈⋊C₂²) = C₄².₂₉Q₈	central extension (φ=1)	128		C2^2.91(C8:C2^2)	128,679
C₂².₉₂(C₈⋊C₂²) = C₄².₃₀Q₈	central extension (φ=1)	128		C2^2.92(C8:C2^2)	128,680
C₂².₉₃(C₈⋊C₂²) = C₄².₃₁Q₈	central extension (φ=1)	128		C2^2.93(C8:C2^2)	128,681
C₂².₉₄(C₈⋊C₂²) = C₄².₁₁₀D₄	central extension (φ=1)	64		C2^2.94(C8:C2^2)	128,691
C₂².₉₅(C₈⋊C₂²) = C₄².₁₁₂D₄	central extension (φ=1)	64		C2^2.95(C8:C2^2)	128,693
C₂².₉₆(C₈⋊C₂²) = (C₂×D₈)⋊₁₀C₄	central extension (φ=1)	64		C2^2.96(C8:C2^2)	128,704
C₂².₉₇(C₈⋊C₂²) = C₈⋊(C₂²⋊C₄)	central extension (φ=1)	64		C2^2.97(C8:C2^2)	128,705
C₂².₉₈(C₈⋊C₂²) = C₄².₁₁₈D₄	central extension (φ=1)	64		C2^2.98(C8:C2^2)	128,714
C₂².₉₉(C₈⋊C₂²) = C₄².₁₁₉D₄	central extension (φ=1)	64		C2^2.99(C8:C2^2)	128,715
C₂².₁₀₀(C₈⋊C₂²) = C₄².₁₂₁D₄	central extension (φ=1)	128		C2^2.100(C8:C2^2)	128,719
C₂².₁₀₁(C₈⋊C₂²) = C₄².₁₂₃D₄	central extension (φ=1)	128		C2^2.101(C8:C2^2)	128,721
C₂².₁₀₂(C₈⋊C₂²) = C₄².₁₂₄D₄	central extension (φ=1)	128		C2^2.102(C8:C2^2)	128,724
C₂².₁₀₃(C₈⋊C₂²) = C₄².₁₂₅D₄	central extension (φ=1)	128		C2^2.103(C8:C2^2)	128,725
C₂².₁₀₄(C₈⋊C₂²) = C₂×C₂³.₃₇D₄	central extension (φ=1)	32		C2^2.104(C8:C2^2)	128,1625
C₂².₁₀₅(C₈⋊C₂²) = C₂×C₂³.₃₆D₄	central extension (φ=1)	64		C2^2.105(C8:C2^2)	128,1627
C₂².₁₀₆(C₈⋊C₂²) = C₂×M₄(2)⋊C₄	central extension (φ=1)	64		C2^2.106(C8:C2^2)	128,1642
C₂².₁₀₇(C₈⋊C₂²) = C₂×SD₁₆⋊C₄	central extension (φ=1)	64		C2^2.107(C8:C2^2)	128,1672
C₂².₁₀₈(C₈⋊C₂²) = C₂×D₈⋊C₄	central extension (φ=1)	64		C2^2.108(C8:C2^2)	128,1674
C₂².₁₀₉(C₈⋊C₂²) = C₂×C₂²⋊D₈	central extension (φ=1)	32		C2^2.109(C8:C2^2)	128,1728
C₂².₁₁₀(C₈⋊C₂²) = C₂×C₂²⋊SD₁₆	central extension (φ=1)	32		C2^2.110(C8:C2^2)	128,1729
C₂².₁₁₁(C₈⋊C₂²) = C₂×D₄⋊D₄	central extension (φ=1)	64		C2^2.111(C8:C2^2)	128,1732
C₂².₁₁₂(C₈⋊C₂²) = C₂×C₄⋊D₈	central extension (φ=1)	64		C2^2.112(C8:C2^2)	128,1761
C₂².₁₁₃(C₈⋊C₂²) = C₂×D₄.₂D₄	central extension (φ=1)	64		C2^2.113(C8:C2^2)	128,1763
C₂².₁₁₄(C₈⋊C₂²) = C₂×C₄⋊SD₁₆	central extension (φ=1)	64		C2^2.114(C8:C2^2)	128,1764
C₂².₁₁₅(C₈⋊C₂²) = C₂×C₈⋊D₄	central extension (φ=1)	64		C2^2.115(C8:C2^2)	128,1783
C₂².₁₁₆(C₈⋊C₂²) = C₂×C₈⋊₂D₄	central extension (φ=1)	64		C2^2.116(C8:C2^2)	128,1784
C₂².₁₁₇(C₈⋊C₂²) = C₂×D₄⋊₂Q₈	central extension (φ=1)	64		C2^2.117(C8:C2^2)	128,1803
C₂².₁₁₈(C₈⋊C₂²) = C₂×D₄.Q₈	central extension (φ=1)	64		C2^2.118(C8:C2^2)	128,1804
C₂².₁₁₉(C₈⋊C₂²) = C₂×C₄.Q₁₆	central extension (φ=1)	128		C2^2.119(C8:C2^2)	128,1806
C₂².₁₂₀(C₈⋊C₂²) = C₂×C₂³.₁₉D₄	central extension (φ=1)	64		C2^2.120(C8:C2^2)	128,1819
C₂².₁₂₁(C₈⋊C₂²) = C₂×C₂³.₄₆D₄	central extension (φ=1)	64		C2^2.121(C8:C2^2)	128,1821
C₂².₁₂₂(C₈⋊C₂²) = C₂×C₂³.₄₈D₄	central extension (φ=1)	64		C2^2.122(C8:C2^2)	128,1822
C₂².₁₂₃(C₈⋊C₂²) = C₂×C₄².₂₈C₂²	central extension (φ=1)	64		C2^2.123(C8:C2^2)	128,1864
C₂².₁₂₄(C₈⋊C₂²) = C₂×C₄².₂₉C₂²	central extension (φ=1)	64		C2^2.124(C8:C2^2)	128,1865
C₂².₁₂₅(C₈⋊C₂²) = C₂×C₈⋊₃D₄	central extension (φ=1)	64		C2^2.125(C8:C2^2)	128,1880
C₂².₁₂₆(C₈⋊C₂²) = C₂×C₈⋊Q₈	central extension (φ=1)	128		C2^2.126(C8:C2^2)	128,1893
C₂².₁₂₇(C₈⋊C₂²) = C₂³⋊₂D₈	central stem extension (φ=1)	64		C2^2.127(C8:C2^2)	128,731
C₂².₁₂₈(C₈⋊C₂²) = C₂³⋊₃SD₁₆	central stem extension (φ=1)	64		C2^2.128(C8:C2^2)	128,732
C₂².₁₂₉(C₈⋊C₂²) = (C₂×C₄)⋊₂D₈	central stem extension (φ=1)	64		C2^2.129(C8:C2^2)	128,743
C₂².₁₃₀(C₈⋊C₂²) = (C₂²×D₈).C₂	central stem extension (φ=1)	64		C2^2.130(C8:C2^2)	128,744
C₂².₁₃₁(C₈⋊C₂²) = (C₂×C₈)⋊₂₀D₄	central stem extension (φ=1)	64		C2^2.131(C8:C2^2)	128,746
C₂².₁₃₂(C₈⋊C₂²) = (C₂×D₄)⋊Q₈	central stem extension (φ=1)	64		C2^2.132(C8:C2^2)	128,755
C₂².₁₃₃(C₈⋊C₂²) = (C₂×Q₈)⋊Q₈	central stem extension (φ=1)	128		C2^2.133(C8:C2^2)	128,756
C₂².₁₃₄(C₈⋊C₂²) = C₄⋊C₄.₈₄D₄	central stem extension (φ=1)	64		C2^2.134(C8:C2^2)	128,757
C₂².₁₃₅(C₈⋊C₂²) = C₂⁴.₈₃D₄	central stem extension (φ=1)	64		C2^2.135(C8:C2^2)	128,765
C₂².₁₃₆(C₈⋊C₂²) = C₂⁴.₈₄D₄	central stem extension (φ=1)	64		C2^2.136(C8:C2^2)	128,766
C₂².₁₃₇(C₈⋊C₂²) = C₂⁴.₈₆D₄	central stem extension (φ=1)	64		C2^2.137(C8:C2^2)	128,768
C₂².₁₃₈(C₈⋊C₂²) = C₄⋊C₄⋊₇D₄	central stem extension (φ=1)	64		C2^2.138(C8:C2^2)	128,773
C₂².₁₃₉(C₈⋊C₂²) = C₄⋊C₄.₉₄D₄	central stem extension (φ=1)	64		C2^2.139(C8:C2^2)	128,774
C₂².₁₄₀(C₈⋊C₂²) = (C₂×C₄)⋊₃D₈	central stem extension (φ=1)	64		C2^2.140(C8:C2^2)	128,786
C₂².₁₄₁(C₈⋊C₂²) = (C₂×C₄)⋊₅SD₁₆	central stem extension (φ=1)	64		C2^2.141(C8:C2^2)	128,787
C₂².₁₄₂(C₈⋊C₂²) = C₄⋊C₄⋊Q₈	central stem extension (φ=1)	128		C2^2.142(C8:C2^2)	128,789
C₂².₁₄₃(C₈⋊C₂²) = (C₂×C₈)⋊Q₈	central stem extension (φ=1)	128		C2^2.143(C8:C2^2)	128,790
C₂².₁₄₄(C₈⋊C₂²) = C₂.(C₈⋊Q₈)	central stem extension (φ=1)	128		C2^2.144(C8:C2^2)	128,791
C₂².₁₄₅(C₈⋊C₂²) = C₄⋊C₄.₁₀₆D₄	central stem extension (φ=1)	64		C2^2.145(C8:C2^2)	128,797
C₂².₁₄₆(C₈⋊C₂²) = (C₂×C₄).₂₃D₈	central stem extension (φ=1)	64		C2^2.146(C8:C2^2)	128,799
C₂².₁₄₇(C₈⋊C₂²) = (C₂×C₈).₅₂D₄	central stem extension (φ=1)	128		C2^2.147(C8:C2^2)	128,800
C₂².₁₄₈(C₈⋊C₂²) = (C₂×C₄).₂₄D₈	central stem extension (φ=1)	64		C2^2.148(C8:C2^2)	128,803
C₂².₁₄₉(C₈⋊C₂²) = (C₂×C₄).₁₉Q₁₆	central stem extension (φ=1)	128		C2^2.149(C8:C2^2)	128,804
C₂².₁₅₀(C₈⋊C₂²) = C₄²⋊₈C₄⋊C₂	central stem extension (φ=1)	64		C2^2.150(C8:C2^2)	128,805
C₂².₁₅₁(C₈⋊C₂²) = C₂⁴.₈₈D₄	central stem extension (φ=1)	64		C2^2.151(C8:C2^2)	128,808
C₂².₁₅₂(C₈⋊C₂²) = C₂⁴.₈₉D₄	central stem extension (φ=1)	64		C2^2.152(C8:C2^2)	128,809
C₂².₁₅₃(C₈⋊C₂²) = (C₂×C₈).₁Q₈	central stem extension (φ=1)	128		C2^2.153(C8:C2^2)	128,815
C₂².₁₅₄(C₈⋊C₂²) = C₂.(C₈⋊₃Q₈)	central stem extension (φ=1)	128		C2^2.154(C8:C2^2)	128,816
C₂².₁₅₅(C₈⋊C₂²) = (C₂×C₈).₂₄Q₈	central stem extension (φ=1)	128		C2^2.155(C8:C2^2)	128,817
C₂².₁₅₆(C₈⋊C₂²) = (C₂×C₄).₂₁Q₁₆	central stem extension (φ=1)	128		C2^2.156(C8:C2^2)	128,819
C₂².₁₅₇(C₈⋊C₂²) = C₄.(C₄⋊Q₈)	central stem extension (φ=1)	128		C2^2.157(C8:C2^2)	128,820
C₂².₁₅₈(C₈⋊C₂²) = (C₂×C₈).₁₆₈D₄	central stem extension (φ=1)	64		C2^2.158(C8:C2^2)	128,824
C₂².₁₅₉(C₈⋊C₂²) = (C₂×C₈).₁₆₉D₄	central stem extension (φ=1)	64		C2^2.159(C8:C2^2)	128,826
C₂².₁₆₀(C₈⋊C₂²) = (C₂×C₈).₆₀D₄	central stem extension (φ=1)	128		C2^2.160(C8:C2^2)	128,827
C₂².₁₆₁(C₈⋊C₂²) = (C₂×C₄).₂₃Q₁₆	central stem extension (φ=1)	128		C2^2.161(C8:C2^2)	128,832
C₂².₁₆₂(C₈⋊C₂²) = C₄⋊C₄.Q₈	central stem extension (φ=1)	128		C2^2.162(C8:C2^2)	128,833

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Extensions 1→N→G→Q→1 with N=C22 and Q=C8⋊C22

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈⋊C₂²