Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xD₈

Direct product G=NxQ with N=C₂² and Q=C₂xD₈

		d	ρ	Label	ID
C₂³xD₈		64		C2^3xD8	128,2306

Semidirect products G=N:Q with N=C₂² and Q=C₂xD₈

extension	φ:Q→Aut N	d	Label	ID
C₂²:₁(C₂xD₈) = C₂xC₈:₇D₄	φ: C₂xD₈/C₂xC₈ → C₂ ⊆ Aut C₂²	64	C2^2:1(C2xD8)	128,1780
C₂²:₂(C₂xD₈) = D₄xD₈	φ: C₂xD₈/D₈ → C₂ ⊆ Aut C₂²	32	C2^2:2(C2xD8)	128,2011
C₂²:₃(C₂xD₈) = C₂xC₂²:D₈	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32	C2^2:3(C2xD8)	128,1728

Non-split extensions G=N.Q with N=C₂² and Q=C₂xD₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xD₈) = C₄².₃₆₆D₄	φ: C₂xD₈/C₂xC₈ → C₂ ⊆ Aut C₂²	64		C2^2.1(C2xD8)	128,1901
C₂².₂(C₂xD₈) = C₄².₂₉₃D₄	φ: C₂xD₈/C₂xC₈ → C₂ ⊆ Aut C₂²	64		C2^2.2(C2xD8)	128,1977
C₂².₃(C₂xD₈) = C₂xC₄oD₁₆	φ: C₂xD₈/C₂xC₈ → C₂ ⊆ Aut C₂²	64		C2^2.3(C2xD8)	128,2143
C₂².₄(C₂xD₈) = D₄:₄D₈	φ: C₂xD₈/D₈ → C₂ ⊆ Aut C₂²	32		C2^2.4(C2xD8)	128,2026
C₂².₅(C₂xD₈) = D₄:₅D₈	φ: C₂xD₈/D₈ → C₂ ⊆ Aut C₂²	64		C2^2.5(C2xD8)	128,2066
C₂².₆(C₂xD₈) = D₄oD₁₆	φ: C₂xD₈/D₈ → C₂ ⊆ Aut C₂²	32	4+	C2^2.6(C2xD8)	128,2147
C₂².₇(C₂xD₈) = D₄oSD₃₂	φ: C₂xD₈/D₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.7(C2xD8)	128,2148
C₂².₈(C₂xD₈) = Q₈oD₁₆	φ: C₂xD₈/D₈ → C₂ ⊆ Aut C₂²	64	4-	C2^2.8(C2xD8)	128,2149
C₂².₉(C₂xD₈) = C₂xC₂².SD₁₆	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.9(C2xD8)	128,230
C₂².₁₀(C₂xD₈) = C₄².₄₀₃D₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.10(C2xD8)	128,234
C₂².₁₁(C₂xD₈) = C₄².₆₁D₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.11(C2xD8)	128,249
C₂².₁₂(C₂xD₈) = C₂⁴.₆₀D₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.12(C2xD8)	128,251
C₂².₁₃(C₂xD₈) = C₂³:D₈	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	16		C2^2.13(C2xD8)	128,327
C₂².₁₄(C₂xD₈) = (C₂xC₄):D₈	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.14(C2xD8)	128,330
C₂².₁₅(C₂xD₈) = C₂³.₅D₈	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.15(C2xD8)	128,339
C₂².₁₆(C₂xD₈) = (C₂xC₄).₅D₈	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.16(C2xD8)	128,342
C₂².₁₇(C₂xD₈) = C₂xD₈:₂C₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.17(C2xD8)	128,876
C₂².₁₈(C₂xD₈) = C₂³.₁₃D₈	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.18(C2xD8)	128,877
C₂².₁₉(C₂xD₈) = D₈:D₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	16	8+	C2^2.19(C2xD8)	128,922
C₂².₂₀(C₂xD₈) = D₈.D₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32	8-	C2^2.20(C2xD8)	128,923
C₂².₂₁(C₂xD₈) = C₂xC₂².D₈	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	64		C2^2.21(C2xD8)	128,1817
C₂².₂₂(C₂xD₈) = C₄².₂₂₁D₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.22(C2xD8)	128,1832
C₂².₂₃(C₂xD₈) = C₂³:₃D₈	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.23(C2xD8)	128,1918
C₂².₂₄(C₂xD₈) = C₄².₂₆₃D₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32		C2^2.24(C2xD8)	128,1937
C₂².₂₅(C₂xD₈) = C₄².₂₇₈D₄	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	64		C2^2.25(C2xD8)	128,1958
C₂².₂₆(C₂xD₈) = D₁₆:C₂²	φ: C₂xD₈/C₂xD₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.26(C2xD8)	128,2146
C₂².₂₇(C₂xD₈) = C₂xC₂².₄Q₁₆	central extension (φ=1)	128		C2^2.27(C2xD8)	128,466
C₂².₂₈(C₂xD₈) = C₄xD₄:C₄	central extension (φ=1)	64		C2^2.28(C2xD8)	128,492
C₂².₂₉(C₂xD₈) = C₄xC₂.D₈	central extension (φ=1)	128		C2^2.29(C2xD8)	128,507
C₂².₃₀(C₂xD₈) = C₂³.₃₅D₈	central extension (φ=1)	32		C2^2.30(C2xD8)	128,518
C₂².₃₁(C₂xD₈) = C₄².₉₈D₄	central extension (φ=1)	64		C2^2.31(C2xD8)	128,534
C₂².₃₂(C₂xD₈) = C₂³.₂₂D₈	central extension (φ=1)	64		C2^2.32(C2xD8)	128,540
C₂².₃₃(C₂xD₈) = C₂³.₃₆D₈	central extension (φ=1)	64		C2^2.33(C2xD8)	128,555
C₂².₃₄(C₂xD₈) = C₄².₅₅Q₈	central extension (φ=1)	128		C2^2.34(C2xD8)	128,566
C₂².₃₅(C₂xD₈) = C₄².₅₉Q₈	central extension (φ=1)	128		C2^2.35(C2xD8)	128,577
C₂².₃₆(C₂xD₈) = C₂³.₃₇D₈	central extension (φ=1)	64		C2^2.36(C2xD8)	128,584
C₂².₃₇(C₂xD₈) = C₂.(C₄xD₈)	central extension (φ=1)	64		C2^2.37(C2xD8)	128,594
C₂².₃₈(C₂xD₈) = C₂³.₃₈D₈	central extension (φ=1)	64		C2^2.38(C2xD8)	128,606
C₂².₃₉(C₂xD₈) = (C₂xC₄):₉D₈	central extension (φ=1)	64		C2^2.39(C2xD8)	128,611
C₂².₄₀(C₂xD₈) = C₂³.₂₃D₈	central extension (φ=1)	64		C2^2.40(C2xD8)	128,625
C₂².₄₁(C₂xD₈) = C₂.D₈:₄C₄	central extension (φ=1)	128		C2^2.41(C2xD8)	128,650
C₂².₄₂(C₂xD₈) = D₄:C₄:C₄	central extension (φ=1)	64		C2^2.42(C2xD8)	128,657
C₂².₄₃(C₂xD₈) = C₂.(C₈:₇D₄)	central extension (φ=1)	64		C2^2.43(C2xD8)	128,666
C₂².₄₄(C₂xD₈) = C₈:₅(C₄:C₄)	central extension (φ=1)	128		C2^2.44(C2xD8)	128,674
C₂².₄₅(C₂xD₈) = C₄².₂₉Q₈	central extension (φ=1)	128		C2^2.45(C2xD8)	128,679
C₂².₄₆(C₂xD₈) = C₄².₄₃₂D₄	central extension (φ=1)	64		C2^2.46(C2xD8)	128,689
C₂².₄₇(C₂xD₈) = (C₂xC₄):₆D₈	central extension (φ=1)	64		C2^2.47(C2xD8)	128,702
C₂².₄₈(C₂xD₈) = C₄².₁₁₈D₄	central extension (φ=1)	64		C2^2.48(C2xD8)	128,714
C₂².₄₉(C₂xD₈) = C₄².₁₂₂D₄	central extension (φ=1)	128		C2^2.49(C2xD8)	128,720
C₂².₅₀(C₂xD₈) = C₄².₄₃₆D₄	central extension (φ=1)	128		C2^2.50(C2xD8)	128,722
C₂².₅₁(C₂xD₈) = C₂xC₂.D₁₆	central extension (φ=1)	64		C2^2.51(C2xD8)	128,868
C₂².₅₂(C₂xD₈) = C₂xC₂.Q₃₂	central extension (φ=1)	128		C2^2.52(C2xD8)	128,869
C₂².₅₃(C₂xD₈) = C₂³.₂₄D₈	central extension (φ=1)	64		C2^2.53(C2xD8)	128,870
C₂².₅₄(C₂xD₈) = C₂³.₃₉D₈	central extension (φ=1)	64		C2^2.54(C2xD8)	128,871
C₂².₅₅(C₂xD₈) = C₂³.₄₀D₈	central extension (φ=1)	32		C2^2.55(C2xD8)	128,872
C₂².₅₆(C₂xD₈) = C₂³.₄₁D₈	central extension (φ=1)	64		C2^2.56(C2xD8)	128,873
C₂².₅₇(C₂xD₈) = C₂xC₁₆:₃C₄	central extension (φ=1)	128		C2^2.57(C2xD8)	128,888
C₂².₅₈(C₂xD₈) = C₂xC₁₆:₄C₄	central extension (φ=1)	128		C2^2.58(C2xD8)	128,889
C₂².₅₉(C₂xD₈) = C₂³.₂₅D₈	central extension (φ=1)	64		C2^2.59(C2xD8)	128,890
C₂².₆₀(C₂xD₈) = M₅(2):₁C₄	central extension (φ=1)	64		C2^2.60(C2xD8)	128,891
C₂².₆₁(C₂xD₈) = C₄xD₁₆	central extension (φ=1)	64		C2^2.61(C2xD8)	128,904
C₂².₆₂(C₂xD₈) = C₄xSD₃₂	central extension (φ=1)	64		C2^2.62(C2xD8)	128,905
C₂².₆₃(C₂xD₈) = C₄xQ₃₂	central extension (φ=1)	128		C2^2.63(C2xD8)	128,906
C₂².₆₄(C₂xD₈) = SD₃₂:₃C₄	central extension (φ=1)	64		C2^2.64(C2xD8)	128,907
C₂².₆₅(C₂xD₈) = Q₃₂:₄C₄	central extension (φ=1)	128		C2^2.65(C2xD8)	128,908
C₂².₆₆(C₂xD₈) = D₁₆:₄C₄	central extension (φ=1)	64		C2^2.66(C2xD8)	128,909
C₂².₆₇(C₂xD₈) = C₂²xD₄:C₄	central extension (φ=1)	64		C2^2.67(C2xD8)	128,1622
C₂².₆₈(C₂xD₈) = C₂²xC₂.D₈	central extension (φ=1)	128		C2^2.68(C2xD8)	128,1640
C₂².₆₉(C₂xD₈) = C₂xC₄xD₈	central extension (φ=1)	64		C2^2.69(C2xD8)	128,1668
C₂².₇₀(C₂xD₈) = C₂xC₄:D₈	central extension (φ=1)	64		C2^2.70(C2xD8)	128,1761
C₂².₇₁(C₂xD₈) = C₂xD₄:Q₈	central extension (φ=1)	64		C2^2.71(C2xD8)	128,1802
C₂².₇₂(C₂xD₈) = C₂xC₄.₄D₈	central extension (φ=1)	64		C2^2.72(C2xD8)	128,1860
C₂².₇₃(C₂xD₈) = C₂xC₈:₄D₄	central extension (φ=1)	64		C2^2.73(C2xD8)	128,1876
C₂².₇₄(C₂xD₈) = C₂xC₈:₂Q₈	central extension (φ=1)	128		C2^2.74(C2xD8)	128,1891
C₂².₇₅(C₂xD₈) = C₂²xD₁₆	central extension (φ=1)	64		C2^2.75(C2xD8)	128,2140
C₂².₇₆(C₂xD₈) = C₂²xSD₃₂	central extension (φ=1)	64		C2^2.76(C2xD8)	128,2141
C₂².₇₇(C₂xD₈) = C₂²xQ₃₂	central extension (φ=1)	128		C2^2.77(C2xD8)	128,2142
C₂².₇₈(C₂xD₈) = C₂xC₁₆:C₂²	central extension (φ=1)	32		C2^2.78(C2xD8)	128,2144
C₂².₇₉(C₂xD₈) = C₂xQ₃₂:C₂	central extension (φ=1)	64		C2^2.79(C2xD8)	128,2145
C₂².₈₀(C₂xD₈) = C₂³:₂D₈	central stem extension (φ=1)	64		C2^2.80(C2xD8)	128,731
C₂².₈₁(C₂xD₈) = (C₂xC₄):₂D₈	central stem extension (φ=1)	64		C2^2.81(C2xD8)	128,743
C₂².₈₂(C₂xD₈) = (C₂xD₄):Q₈	central stem extension (φ=1)	64		C2^2.82(C2xD8)	128,755
C₂².₈₃(C₂xD₈) = C₂⁴.₈₃D₄	central stem extension (φ=1)	64		C2^2.83(C2xD8)	128,765
C₂².₈₄(C₂xD₈) = C₄:C₄:₇D₄	central stem extension (φ=1)	64		C2^2.84(C2xD8)	128,773
C₂².₈₅(C₂xD₈) = (C₂xC₄):₃D₈	central stem extension (φ=1)	64		C2^2.85(C2xD8)	128,786
C₂².₈₆(C₂xD₈) = C₄:C₄:Q₈	central stem extension (φ=1)	128		C2^2.86(C2xD8)	128,789
C₂².₈₇(C₂xD₈) = (C₂xC₄).₂₃D₈	central stem extension (φ=1)	64		C2^2.87(C2xD8)	128,799
C₂².₈₈(C₂xD₈) = (C₂xC₄).₂₄D₈	central stem extension (φ=1)	64		C2^2.88(C2xD8)	128,803
C₂².₈₉(C₂xD₈) = C₂³.₁₂D₈	central stem extension (φ=1)	64		C2^2.89(C2xD8)	128,807
C₂².₉₀(C₂xD₈) = (C₂xC₈).₁Q₈	central stem extension (φ=1)	128		C2^2.90(C2xD8)	128,815
C₂².₉₁(C₂xD₈) = (C₂xC₄).₂₆D₈	central stem extension (φ=1)	128		C2^2.91(C2xD8)	128,818
C₂².₉₂(C₂xD₈) = (C₂xC₄).₂₇D₈	central stem extension (φ=1)	64		C2^2.92(C2xD8)	128,825
C₂².₉₃(C₂xD₈) = (C₂xC₄).₂₈D₈	central stem extension (φ=1)	128		C2^2.93(C2xD8)	128,831
C₂².₉₄(C₂xD₈) = D₈:₇D₄	central stem extension (φ=1)	32		C2^2.94(C2xD8)	128,916
C₂².₉₅(C₂xD₈) = Q₁₆:₇D₄	central stem extension (φ=1)	64		C2^2.95(C2xD8)	128,917
C₂².₉₆(C₂xD₈) = D₈:₈D₄	central stem extension (φ=1)	64		C2^2.96(C2xD8)	128,918
C₂².₉₇(C₂xD₈) = D₈.₉D₄	central stem extension (φ=1)	32		C2^2.97(C2xD8)	128,919
C₂².₉₈(C₂xD₈) = Q₁₆.₈D₄	central stem extension (φ=1)	64		C2^2.98(C2xD8)	128,920
C₂².₉₉(C₂xD₈) = D₈.₁₀D₄	central stem extension (φ=1)	64		C2^2.99(C2xD8)	128,921
C₂².₁₀₀(C₂xD₈) = D₈:₂D₄	central stem extension (φ=1)	64		C2^2.100(C2xD8)	128,938
C₂².₁₀₁(C₂xD₈) = Q₁₆:₂D₄	central stem extension (φ=1)	64		C2^2.101(C2xD8)	128,939
C₂².₁₀₂(C₂xD₈) = D₈.₄D₄	central stem extension (φ=1)	64		C2^2.102(C2xD8)	128,940
C₂².₁₀₃(C₂xD₈) = Q₁₆.₄D₄	central stem extension (φ=1)	128		C2^2.103(C2xD8)	128,941
C₂².₁₀₄(C₂xD₈) = D₈.₅D₄	central stem extension (φ=1)	64		C2^2.104(C2xD8)	128,942
C₂².₁₀₅(C₂xD₈) = Q₁₆.₅D₄	central stem extension (φ=1)	64		C2^2.105(C2xD8)	128,943
C₂².₁₀₆(C₂xD₈) = C₁₆:₇D₄	central stem extension (φ=1)	64		C2^2.106(C2xD8)	128,947
C₂².₁₀₇(C₂xD₈) = C₁₆.₁₉D₄	central stem extension (φ=1)	64		C2^2.107(C2xD8)	128,948
C₂².₁₀₈(C₂xD₈) = C₁₆:₈D₄	central stem extension (φ=1)	64		C2^2.108(C2xD8)	128,949
C₂².₁₀₉(C₂xD₈) = C₁₆:D₄	central stem extension (φ=1)	64		C2^2.109(C2xD8)	128,950
C₂².₁₁₀(C₂xD₈) = C₁₆.D₄	central stem extension (φ=1)	64		C2^2.110(C2xD8)	128,951
C₂².₁₁₁(C₂xD₈) = C₁₆:₂D₄	central stem extension (φ=1)	64		C2^2.111(C2xD8)	128,952
C₂².₁₁₂(C₂xD₈) = D₈:₁Q₈	central stem extension (φ=1)	64		C2^2.112(C2xD8)	128,956
C₂².₁₁₃(C₂xD₈) = Q₁₆:Q₈	central stem extension (φ=1)	128		C2^2.113(C2xD8)	128,957
C₂².₁₁₄(C₂xD₈) = D₈:Q₈	central stem extension (φ=1)	64		C2^2.114(C2xD8)	128,958
C₂².₁₁₅(C₂xD₈) = C₄.Q₃₂	central stem extension (φ=1)	128		C2^2.115(C2xD8)	128,959
C₂².₁₁₆(C₂xD₈) = D₈.Q₈	central stem extension (φ=1)	64		C2^2.116(C2xD8)	128,960
C₂².₁₁₇(C₂xD₈) = Q₁₆.Q₈	central stem extension (φ=1)	128		C2^2.117(C2xD8)	128,961
C₂².₁₁₈(C₂xD₈) = C₂².D₁₆	central stem extension (φ=1)	64		C2^2.118(C2xD8)	128,964
C₂².₁₁₉(C₂xD₈) = C₂³.₄₉D₈	central stem extension (φ=1)	64		C2^2.119(C2xD8)	128,965
C₂².₁₂₀(C₂xD₈) = C₂³.₁₉D₈	central stem extension (φ=1)	64		C2^2.120(C2xD8)	128,966
C₂².₁₂₁(C₂xD₈) = C₂³.₅₀D₈	central stem extension (φ=1)	64		C2^2.121(C2xD8)	128,967
C₂².₁₂₂(C₂xD₈) = C₂³.₅₁D₈	central stem extension (φ=1)	64		C2^2.122(C2xD8)	128,968
C₂².₁₂₃(C₂xD₈) = C₂³.₂₀D₈	central stem extension (φ=1)	64		C2^2.123(C2xD8)	128,969
C₂².₁₂₄(C₂xD₈) = C₄.₄D₁₆	central stem extension (φ=1)	64		C2^2.124(C2xD8)	128,972
C₂².₁₂₅(C₂xD₈) = C₄.SD₃₂	central stem extension (φ=1)	128		C2^2.125(C2xD8)	128,973
C₂².₁₂₆(C₂xD₈) = C₈.₂₂SD₁₆	central stem extension (φ=1)	64		C2^2.126(C2xD8)	128,974
C₂².₁₂₇(C₂xD₈) = C₈.₁₂SD₁₆	central stem extension (φ=1)	64		C2^2.127(C2xD8)	128,975
C₂².₁₂₈(C₂xD₈) = C₈.₁₃SD₁₆	central stem extension (φ=1)	64		C2^2.128(C2xD8)	128,976
C₂².₁₂₉(C₂xD₈) = C₈.₁₄SD₁₆	central stem extension (φ=1)	128		C2^2.129(C2xD8)	128,977
C₂².₁₃₀(C₂xD₈) = C₄:D₁₆	central stem extension (φ=1)	64		C2^2.130(C2xD8)	128,978
C₂².₁₃₁(C₂xD₈) = C₄:Q₃₂	central stem extension (φ=1)	128		C2^2.131(C2xD8)	128,979
C₂².₁₃₂(C₂xD₈) = C₁₆:₅D₄	central stem extension (φ=1)	64		C2^2.132(C2xD8)	128,980
C₂².₁₃₃(C₂xD₈) = C₈.₂₁D₈	central stem extension (φ=1)	64		C2^2.133(C2xD8)	128,981
C₂².₁₃₄(C₂xD₈) = C₁₆:₃D₄	central stem extension (φ=1)	64		C2^2.134(C2xD8)	128,982
C₂².₁₃₅(C₂xD₈) = C₈.₇D₈	central stem extension (φ=1)	64		C2^2.135(C2xD8)	128,983
C₂².₁₃₆(C₂xD₈) = C₁₆:₂Q₈	central stem extension (φ=1)	128		C2^2.136(C2xD8)	128,984
C₂².₁₃₇(C₂xD₈) = C₁₆.₅Q₈	central stem extension (φ=1)	128		C2^2.137(C2xD8)	128,985
C₂².₁₃₈(C₂xD₈) = C₁₆:₃Q₈	central stem extension (φ=1)	128		C2^2.138(C2xD8)	128,986
C₂².₁₃₉(C₂xD₈) = C₁₆:Q₈	central stem extension (φ=1)	128		C2^2.139(C2xD8)	128,987

Extensions 1→N→G→Q→1 with N=C22 and Q=C2xD8

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xD₈