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		64		C2^2xC8.C2^2	128,2311

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)⋊₁₅D₄	φ: C₈.C₂²/M₄(2) → C₂ ⊆ Aut C₂²	32	C2^2:1(C8.C2^2)	128,1788
C₂²⋊₂(C₈.C₂²) = SD₁₆⋊₆D₄	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₂²	32	C2^2:2(C8.C2^2)	128,1998
C₂²⋊₃(C₈.C₂²) = Q₁₆⋊₉D₄	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₂²	64	C2^2:3(C8.C2^2)	128,2002
C₂²⋊₄(C₈.C₂²) = C₂⁴.₁₇₈D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2:4(C8.C2^2)	128,1736
C₂²⋊₅(C₈.C₂²) = C₂⁴.₁₀₆D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2:5(C8.C2^2)	128,1739

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

extension	φ:Q→Aut N	d	Label	ID
C₂².₁(C₈.C₂²) = C₄².₂₅₈D₄	φ: C₈.C₂²/M₄(2) → C₂ ⊆ Aut C₂²	64	C2^2.1(C8.C2^2)	128,1913
C₂².₂(C₈.C₂²) = C₂⁴.₁₂₃D₄	φ: C₈.C₂²/M₄(2) → C₂ ⊆ Aut C₂²	32	C2^2.2(C8.C2^2)	128,1922
C₂².₃(C₈.C₂²) = C₄².₂₉₆D₄	φ: C₈.C₂²/M₄(2) → C₂ ⊆ Aut C₂²	64	C2^2.3(C8.C2^2)	128,1980
C₂².₄(C₈.C₂²) = C₄².₄₇C₂³	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₂²	64	C2^2.4(C8.C2^2)	128,2044
C₂².₅(C₈.C₂²) = C₄².₄₉C₂³	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₂²	32	C2^2.5(C8.C2^2)	128,2046
C₂².₆(C₈.C₂²) = C₄².₅₈C₂³	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₂²	64	C2^2.6(C8.C2^2)	128,2076
C₂².₇(C₈.C₂²) = C₄².₅₁C₂³	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₂²	64	C2^2.7(C8.C2^2)	128,2048
C₂².₈(C₈.C₂²) = C₄².₅₅C₂³	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₂²	64	C2^2.8(C8.C2^2)	128,2052
C₂².₉(C₈.C₂²) = C₄².₆₀C₂³	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₂²	64	C2^2.9(C8.C2^2)	128,2078
C₂².₁₀(C₈.C₂²) = C₂⁴.₁₅₀D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	16	C2^2.10(C8.C2^2)	128,236
C₂².₁₁(C₈.C₂²) = C₄².₅₇D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.11(C8.C2^2)	128,241
C₂².₁₂(C₈.C₂²) = C₄².₅₈D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.12(C8.C2^2)	128,244
C₂².₁₃(C₈.C₂²) = C₂⁴.₅₈D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.13(C8.C2^2)	128,245
C₂².₁₄(C₈.C₂²) = C₄⋊C₄.₆D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.14(C8.C2^2)	128,335
C₂².₁₅(C₈.C₂²) = C₂⁴.₁₂D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.15(C8.C2^2)	128,338
C₂².₁₆(C₈.C₂²) = C₄⋊C₄.₁₈D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.16(C8.C2^2)	128,347
C₂².₁₇(C₈.C₂²) = C₂⁴.₁₈D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.17(C8.C2^2)	128,350
C₂².₁₈(C₈.C₂²) = C₂⁴.₁₈₃D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.18(C8.C2^2)	128,1824
C₂².₁₉(C₈.C₂²) = C₄².₂₃₅D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	64	C2^2.19(C8.C2^2)	128,1849
C₂².₂₀(C₈.C₂²) = C₂⁴.₁₂₉D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	32	C2^2.20(C8.C2^2)	128,1928
C₂².₂₁(C₈.C₂²) = C₄².₂₇₆D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	64	C2^2.21(C8.C2^2)	128,1950
C₂².₂₂(C₈.C₂²) = C₄².₂₉₁D₄	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₂²	64	C2^2.22(C8.C2^2)	128,1971
C₂².₂₃(C₈.C₂²) = C₄².₅₆D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.23(C8.C2^2)	128,238
C₂².₂₄(C₈.C₂²) = C₂⁴.₅₅D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.24(C8.C2^2)	128,240
C₂².₂₅(C₈.C₂²) = C₂⁴.₅₇D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.25(C8.C2^2)	128,243
C₂².₂₆(C₈.C₂²) = C₄².₆₀D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.26(C8.C2^2)	128,247
C₂².₂₇(C₈.C₂²) = C₂³⋊SD₁₆	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	16	C2^2.27(C8.C2^2)	128,328
C₂².₂₈(C₈.C₂²) = (C₂×C₄)⋊SD₁₆	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.28(C8.C2^2)	128,331
C₂².₂₉(C₈.C₂²) = C₂³⋊Q₁₆	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.29(C8.C2^2)	128,334
C₂².₃₀(C₈.C₂²) = (C₂×C₄)⋊Q₁₆	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.30(C8.C2^2)	128,337
C₂².₃₁(C₈.C₂²) = C₂⁴.₁₄D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.31(C8.C2^2)	128,340
C₂².₃₂(C₈.C₂²) = (C₂×C₄).SD₁₆	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.32(C8.C2^2)	128,343
C₂².₃₃(C₈.C₂²) = C₂⁴.₁₇D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.33(C8.C2^2)	128,346
C₂².₃₄(C₈.C₂²) = C₄⋊C₄.₂₀D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.34(C8.C2^2)	128,349
C₂².₃₅(C₈.C₂²) = C₂⁴.₁₁₈D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.35(C8.C2^2)	128,1827
C₂².₃₆(C₈.C₂²) = C₄².₂₂₈D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.36(C8.C2^2)	128,1842
C₂².₃₇(C₈.C₂²) = C₄².₂₃₁D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	64	C2^2.37(C8.C2^2)	128,1845
C₂².₃₈(C₈.C₂²) = C₂⁴.₁₂₆D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.38(C8.C2^2)	128,1925
C₂².₃₉(C₈.C₂²) = C₂⁴.₁₂₈D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.39(C8.C2^2)	128,1927
C₂².₄₀(C₈.C₂²) = C₄².₂₇₃D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2.40(C8.C2^2)	128,1947
C₂².₄₁(C₈.C₂²) = C₄².₂₈₈D₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₂²	64	C2^2.41(C8.C2^2)	128,1968
C₂².₄₂(C₈.C₂²) = C₂⁴.₁₅₂D₄	central extension (φ=1)	64	C2^2.42(C8.C2^2)	128,468
C₂².₄₃(C₈.C₂²) = D₄⋊C₄²	central extension (φ=1)	64	C2^2.43(C8.C2^2)	128,494
C₂².₄₄(C₈.C₂²) = Q₈⋊C₄²	central extension (φ=1)	128	C2^2.44(C8.C2^2)	128,495
C₂².₄₅(C₈.C₂²) = C₈⋊C₄²	central extension (φ=1)	128	C2^2.45(C8.C2^2)	128,508
C₂².₄₆(C₈.C₂²) = C₂⁴.₁₅₅D₄	central extension (φ=1)	64	C2^2.46(C8.C2^2)	128,519
C₂².₄₇(C₈.C₂²) = C₂⁴.₆₅D₄	central extension (φ=1)	64	C2^2.47(C8.C2^2)	128,520
C₂².₄₈(C₈.C₂²) = C₄².₉₈D₄	central extension (φ=1)	64	C2^2.48(C8.C2^2)	128,534
C₂².₄₉(C₈.C₂²) = C₄².₉₉D₄	central extension (φ=1)	128	C2^2.49(C8.C2^2)	128,535
C₂².₅₀(C₈.C₂²) = C₄².₁₀₁D₄	central extension (φ=1)	128	C2^2.50(C8.C2^2)	128,537
C₂².₅₁(C₈.C₂²) = C₂⁴.₆₇D₄	central extension (φ=1)	64	C2^2.51(C8.C2^2)	128,541
C₂².₅₂(C₈.C₂²) = C₂³.₃₆D₈	central extension (φ=1)	64	C2^2.52(C8.C2^2)	128,555
C₂².₅₃(C₈.C₂²) = C₂⁴.₆₉D₄	central extension (φ=1)	64	C2^2.53(C8.C2^2)	128,557
C₂².₅₄(C₈.C₂²) = C₄².₂₄Q₈	central extension (φ=1)	128	C2^2.54(C8.C2^2)	128,568
C₂².₅₅(C₈.C₂²) = C₄².₂₆Q₈	central extension (φ=1)	128	C2^2.55(C8.C2^2)	128,579
C₂².₅₆(C₈.C₂²) = C₂³.₃₇D₈	central extension (φ=1)	64	C2^2.56(C8.C2^2)	128,584
C₂².₅₇(C₈.C₂²) = C₂⁴.₁₅₉D₄	central extension (φ=1)	64	C2^2.57(C8.C2^2)	128,585
C₂².₅₈(C₈.C₂²) = C₂⁴.₇₁D₄	central extension (φ=1)	64	C2^2.58(C8.C2^2)	128,586
C₂².₅₉(C₈.C₂²) = C₂.(C₄×D₈)	central extension (φ=1)	64	C2^2.59(C8.C2^2)	128,594
C₂².₆₀(C₈.C₂²) = Q₈⋊(C₄⋊C₄)	central extension (φ=1)	128	C2^2.60(C8.C2^2)	128,595
C₂².₆₁(C₈.C₂²) = Q₈⋊C₄⋊C₄	central extension (φ=1)	128	C2^2.61(C8.C2^2)	128,597
C₂².₆₂(C₈.C₂²) = C₂⁴.₁₆₀D₄	central extension (φ=1)	64	C2^2.62(C8.C2^2)	128,604
C₂².₆₃(C₈.C₂²) = C₂⁴.₇₃D₄	central extension (φ=1)	64	C2^2.63(C8.C2^2)	128,605
C₂².₆₄(C₈.C₂²) = C₂³.₃₈D₈	central extension (φ=1)	64	C2^2.64(C8.C2^2)	128,606
C₂².₆₅(C₈.C₂²) = (C₂×SD₁₆)⋊₁₄C₄	central extension (φ=1)	64	C2^2.65(C8.C2^2)	128,609
C₂².₆₆(C₈.C₂²) = (C₂×C₄)⋊₉Q₁₆	central extension (φ=1)	128	C2^2.66(C8.C2^2)	128,610
C₂².₆₇(C₈.C₂²) = (C₂×SD₁₆)⋊₁₅C₄	central extension (φ=1)	64	C2^2.67(C8.C2^2)	128,612
C₂².₆₈(C₈.C₂²) = C₂⁴.₇₅D₄	central extension (φ=1)	64	C2^2.68(C8.C2^2)	128,626
C₂².₆₉(C₈.C₂²) = C₂⁴.₇₆D₄	central extension (φ=1)	64	C2^2.69(C8.C2^2)	128,627
C₂².₇₀(C₈.C₂²) = C₂.D₈⋊₄C₄	central extension (φ=1)	128	C2^2.70(C8.C2^2)	128,650
C₂².₇₁(C₈.C₂²) = C₄.Q₈⋊₉C₄	central extension (φ=1)	128	C2^2.71(C8.C2^2)	128,651
C₂².₇₂(C₈.C₂²) = C₄.Q₈⋊₁₀C₄	central extension (φ=1)	128	C2^2.72(C8.C2^2)	128,652
C₂².₇₃(C₈.C₂²) = D₄⋊C₄⋊C₄	central extension (φ=1)	64	C2^2.73(C8.C2^2)	128,657
C₂².₇₄(C₈.C₂²) = C₄.₆₈(C₄×D₄)	central extension (φ=1)	128	C2^2.74(C8.C2^2)	128,659
C₂².₇₅(C₈.C₂²) = C₂.(C₄×Q₁₆)	central extension (φ=1)	128	C2^2.75(C8.C2^2)	128,660
C₂².₇₆(C₈.C₂²) = C₂.(C₈⋊D₄)	central extension (φ=1)	128	C2^2.76(C8.C2^2)	128,667
C₂².₇₇(C₈.C₂²) = C₂.(C₈⋊₂D₄)	central extension (φ=1)	64	C2^2.77(C8.C2^2)	128,668
C₂².₇₈(C₈.C₂²) = C₄.(C₄×Q₈)	central extension (φ=1)	128	C2^2.78(C8.C2^2)	128,675
C₂².₇₉(C₈.C₂²) = C₈⋊(C₄⋊C₄)	central extension (φ=1)	128	C2^2.79(C8.C2^2)	128,676
C₂².₈₀(C₈.C₂²) = C₄².₂₉Q₈	central extension (φ=1)	128	C2^2.80(C8.C2^2)	128,679
C₂².₈₁(C₈.C₂²) = C₄².₃₀Q₈	central extension (φ=1)	128	C2^2.81(C8.C2^2)	128,680
C₂².₈₂(C₈.C₂²) = C₄².₃₁Q₈	central extension (φ=1)	128	C2^2.82(C8.C2^2)	128,681
C₂².₈₃(C₈.C₂²) = C₄².₁₁₀D₄	central extension (φ=1)	64	C2^2.83(C8.C2^2)	128,691
C₂².₈₄(C₈.C₂²) = C₄².₁₁₁D₄	central extension (φ=1)	128	C2^2.84(C8.C2^2)	128,692
C₂².₈₅(C₈.C₂²) = (C₂×Q₁₆)⋊₁₀C₄	central extension (φ=1)	128	C2^2.85(C8.C2^2)	128,703
C₂².₈₆(C₈.C₂²) = C₈⋊(C₂²⋊C₄)	central extension (φ=1)	64	C2^2.86(C8.C2^2)	128,705
C₂².₈₇(C₈.C₂²) = C₄².₁₁₇D₄	central extension (φ=1)	128	C2^2.87(C8.C2^2)	128,713
C₂².₈₈(C₈.C₂²) = C₄².₁₁₉D₄	central extension (φ=1)	64	C2^2.88(C8.C2^2)	128,715
C₂².₈₉(C₈.C₂²) = C₄².₁₂₂D₄	central extension (φ=1)	128	C2^2.89(C8.C2^2)	128,720
C₂².₉₀(C₈.C₂²) = C₄².₁₂₃D₄	central extension (φ=1)	128	C2^2.90(C8.C2^2)	128,721
C₂².₉₁(C₈.C₂²) = C₄².₁₂₄D₄	central extension (φ=1)	128	C2^2.91(C8.C2^2)	128,724
C₂².₉₂(C₈.C₂²) = C₄².₁₂₅D₄	central extension (φ=1)	128	C2^2.92(C8.C2^2)	128,725
C₂².₉₃(C₈.C₂²) = C₂×C₂³.₃₈D₄	central extension (φ=1)	64	C2^2.93(C8.C2^2)	128,1626
C₂².₉₄(C₈.C₂²) = C₂×C₂³.₃₆D₄	central extension (φ=1)	64	C2^2.94(C8.C2^2)	128,1627
C₂².₉₅(C₈.C₂²) = C₂×M₄(2)⋊C₄	central extension (φ=1)	64	C2^2.95(C8.C2^2)	128,1642
C₂².₉₆(C₈.C₂²) = C₂×SD₁₆⋊C₄	central extension (φ=1)	64	C2^2.96(C8.C2^2)	128,1672
C₂².₉₇(C₈.C₂²) = C₂×Q₁₆⋊C₄	central extension (φ=1)	128	C2^2.97(C8.C2^2)	128,1673
C₂².₉₈(C₈.C₂²) = C₂×Q₈⋊D₄	central extension (φ=1)	64	C2^2.98(C8.C2^2)	128,1730
C₂².₉₉(C₈.C₂²) = C₂×C₂²⋊Q₁₆	central extension (φ=1)	64	C2^2.99(C8.C2^2)	128,1731
C₂².₁₀₀(C₈.C₂²) = C₂×D₄.₇D₄	central extension (φ=1)	64	C2^2.100(C8.C2^2)	128,1733
C₂².₁₀₁(C₈.C₂²) = C₂×D₄.D₄	central extension (φ=1)	64	C2^2.101(C8.C2^2)	128,1762
C₂².₁₀₂(C₈.C₂²) = C₂×C₄⋊₂Q₁₆	central extension (φ=1)	128	C2^2.102(C8.C2^2)	128,1765
C₂².₁₀₃(C₈.C₂²) = C₂×Q₈.D₄	central extension (φ=1)	64	C2^2.103(C8.C2^2)	128,1766
C₂².₁₀₄(C₈.C₂²) = C₂×C₈⋊D₄	central extension (φ=1)	64	C2^2.104(C8.C2^2)	128,1783
C₂².₁₀₅(C₈.C₂²) = C₂×C₈.D₄	central extension (φ=1)	64	C2^2.105(C8.C2^2)	128,1785
C₂².₁₀₆(C₈.C₂²) = C₂×D₄⋊Q₈	central extension (φ=1)	64	C2^2.106(C8.C2^2)	128,1802
C₂².₁₀₇(C₈.C₂²) = C₂×Q₈⋊Q₈	central extension (φ=1)	128	C2^2.107(C8.C2^2)	128,1805
C₂².₁₀₈(C₈.C₂²) = C₂×Q₈.Q₈	central extension (φ=1)	128	C2^2.108(C8.C2^2)	128,1807
C₂².₁₀₉(C₈.C₂²) = C₂×C₂².D₈	central extension (φ=1)	64	C2^2.109(C8.C2^2)	128,1817
C₂².₁₁₀(C₈.C₂²) = C₂×C₂³.₄₇D₄	central extension (φ=1)	64	C2^2.110(C8.C2^2)	128,1818
C₂².₁₁₁(C₈.C₂²) = C₂×C₂³.₂₀D₄	central extension (φ=1)	64	C2^2.111(C8.C2^2)	128,1820
C₂².₁₁₂(C₈.C₂²) = C₂×C₄².₂₈C₂²	central extension (φ=1)	64	C2^2.112(C8.C2^2)	128,1864
C₂².₁₁₃(C₈.C₂²) = C₂×C₄².₃₀C₂²	central extension (φ=1)	128	C2^2.113(C8.C2^2)	128,1866
C₂².₁₁₄(C₈.C₂²) = C₂×C₈.₂D₄	central extension (φ=1)	64	C2^2.114(C8.C2^2)	128,1881
C₂².₁₁₅(C₈.C₂²) = C₂×C₈⋊Q₈	central extension (φ=1)	128	C2^2.115(C8.C2^2)	128,1893
C₂².₁₁₆(C₈.C₂²) = C₂³⋊₃SD₁₆	central stem extension (φ=1)	64	C2^2.116(C8.C2^2)	128,732
C₂².₁₁₇(C₈.C₂²) = C₂³⋊₂Q₁₆	central stem extension (φ=1)	64	C2^2.117(C8.C2^2)	128,733
C₂².₁₁₈(C₈.C₂²) = (C₂×C₄)⋊₃SD₁₆	central stem extension (φ=1)	64	C2^2.118(C8.C2^2)	128,745
C₂².₁₁₉(C₈.C₂²) = (C₂×C₈).₄₁D₄	central stem extension (φ=1)	64	C2^2.119(C8.C2^2)	128,747
C₂².₁₂₀(C₈.C₂²) = (C₂×C₄)⋊₂Q₁₆	central stem extension (φ=1)	128	C2^2.120(C8.C2^2)	128,748
C₂².₁₂₁(C₈.C₂²) = (C₂×D₄)⋊Q₈	central stem extension (φ=1)	64	C2^2.121(C8.C2^2)	128,755
C₂².₁₂₂(C₈.C₂²) = (C₂×Q₈)⋊Q₈	central stem extension (φ=1)	128	C2^2.122(C8.C2^2)	128,756
C₂².₁₂₃(C₈.C₂²) = C₄⋊C₄.₈₅D₄	central stem extension (φ=1)	128	C2^2.123(C8.C2^2)	128,758
C₂².₁₂₄(C₈.C₂²) = C₂⁴.₈₃D₄	central stem extension (φ=1)	64	C2^2.124(C8.C2^2)	128,765
C₂².₁₂₅(C₈.C₂²) = C₂⁴.₈₅D₄	central stem extension (φ=1)	64	C2^2.125(C8.C2^2)	128,767
C₂².₁₂₆(C₈.C₂²) = C₂⁴.₈₆D₄	central stem extension (φ=1)	64	C2^2.126(C8.C2^2)	128,768
C₂².₁₂₇(C₈.C₂²) = C₄⋊C₄.₉₄D₄	central stem extension (φ=1)	64	C2^2.127(C8.C2^2)	128,774
C₂².₁₂₈(C₈.C₂²) = C₄⋊C₄.₉₅D₄	central stem extension (φ=1)	128	C2^2.128(C8.C2^2)	128,775
C₂².₁₂₉(C₈.C₂²) = (C₂×C₄)⋊₅SD₁₆	central stem extension (φ=1)	64	C2^2.129(C8.C2^2)	128,787
C₂².₁₃₀(C₈.C₂²) = (C₂×C₄)⋊₃Q₁₆	central stem extension (φ=1)	128	C2^2.130(C8.C2^2)	128,788
C₂².₁₃₁(C₈.C₂²) = C₄⋊C₄⋊Q₈	central stem extension (φ=1)	128	C2^2.131(C8.C2^2)	128,789
C₂².₁₃₂(C₈.C₂²) = (C₂×C₈)⋊Q₈	central stem extension (φ=1)	128	C2^2.132(C8.C2^2)	128,790
C₂².₁₃₃(C₈.C₂²) = C₂.(C₈⋊Q₈)	central stem extension (φ=1)	128	C2^2.133(C8.C2^2)	128,791
C₂².₁₃₄(C₈.C₂²) = (C₂×Q₈).₈Q₈	central stem extension (φ=1)	128	C2^2.134(C8.C2^2)	128,798
C₂².₁₃₅(C₈.C₂²) = (C₂×C₄).₂₃D₈	central stem extension (φ=1)	64	C2^2.135(C8.C2^2)	128,799
C₂².₁₃₆(C₈.C₂²) = (C₂×C₈).₅₂D₄	central stem extension (φ=1)	128	C2^2.136(C8.C2^2)	128,800
C₂².₁₃₇(C₈.C₂²) = (C₂×C₄).₂₄D₈	central stem extension (φ=1)	64	C2^2.137(C8.C2^2)	128,803
C₂².₁₃₈(C₈.C₂²) = (C₂×C₄).₁₉Q₁₆	central stem extension (φ=1)	128	C2^2.138(C8.C2^2)	128,804
C₂².₁₃₉(C₈.C₂²) = (C₂×Q₈).₁₀₉D₄	central stem extension (φ=1)	128	C2^2.139(C8.C2^2)	128,806
C₂².₁₄₀(C₈.C₂²) = C₂³.₁₂D₈	central stem extension (φ=1)	64	C2^2.140(C8.C2^2)	128,807
C₂².₁₄₁(C₈.C₂²) = C₂⁴.₈₉D₄	central stem extension (φ=1)	64	C2^2.141(C8.C2^2)	128,809
C₂².₁₄₂(C₈.C₂²) = (C₂×C₈).₁Q₈	central stem extension (φ=1)	128	C2^2.142(C8.C2^2)	128,815
C₂².₁₄₃(C₈.C₂²) = C₂.(C₈⋊₃Q₈)	central stem extension (φ=1)	128	C2^2.143(C8.C2^2)	128,816
C₂².₁₄₄(C₈.C₂²) = (C₂×C₈).₂₄Q₈	central stem extension (φ=1)	128	C2^2.144(C8.C2^2)	128,817
C₂².₁₄₅(C₈.C₂²) = (C₂×C₄).₂₆D₈	central stem extension (φ=1)	128	C2^2.145(C8.C2^2)	128,818
C₂².₁₄₆(C₈.C₂²) = C₄.(C₄⋊Q₈)	central stem extension (φ=1)	128	C2^2.146(C8.C2^2)	128,820
C₂².₁₄₇(C₈.C₂²) = (C₂×C₄).₂₇D₈	central stem extension (φ=1)	64	C2^2.147(C8.C2^2)	128,825
C₂².₁₄₈(C₈.C₂²) = (C₂×C₈).₁₇₀D₄	central stem extension (φ=1)	128	C2^2.148(C8.C2^2)	128,828
C₂².₁₄₉(C₈.C₂²) = (C₂×C₈).₁₇₁D₄	central stem extension (φ=1)	128	C2^2.149(C8.C2^2)	128,829
C₂².₁₅₀(C₈.C₂²) = (C₂×C₄).₂₈D₈	central stem extension (φ=1)	128	C2^2.150(C8.C2^2)	128,831
C₂².₁₅₁(C₈.C₂²) = C₄⋊C₄.Q₈	central stem extension (φ=1)	128	C2^2.151(C8.C2^2)	128,833

⋊

ℤ

𝔽

○

≀

ℚ

◁

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