Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×D₄

Direct product G=N×Q with N=C₈ and Q=C₂×D₄

		d	ρ	Label	ID
D₄×C₂×C₈		64		D4xC2xC8	128,1658

Semidirect products G=N:Q with N=C₈ and Q=C₂×D₄

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₂×D₄) = M₄(2)⋊₇D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32	C8:1(C2xD4)	128,1883
C₈⋊₂(C₂×D₄) = D₈⋊₄D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32	C8:2(C2xD4)	128,2004
C₈⋊₃(C₂×D₄) = SD₁₆⋊₁D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32	C8:3(C2xD4)	128,2006
C₈⋊₄(C₂×D₄) = C₂×C₈⋊D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64	C8:4(C2xD4)	128,1783
C₈⋊₅(C₂×D₄) = C₂×C₈⋊₂D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64	C8:5(C2xD4)	128,1784
C₈⋊₆(C₂×D₄) = M₄(2)⋊₁₄D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32	C8:6(C2xD4)	128,1787
C₈⋊₇(C₂×D₄) = C₂×C₈⋊₃D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64	C8:7(C2xD4)	128,1880
C₈⋊₈(C₂×D₄) = D₈⋊₉D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32	C8:8(C2xD4)	128,1996
C₈⋊₉(C₂×D₄) = SD₁₆⋊D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32	C8:9(C2xD4)	128,1997
C₈⋊₁₀(C₂×D₄) = C₂×C₈⋊₄D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64	C8:10(C2xD4)	128,1876
C₈⋊₁₁(C₂×D₄) = C₂×C₈⋊₅D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64	C8:11(C2xD4)	128,1875
C₈⋊₁₂(C₂×D₄) = C₂×C₈⋊₆D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64	C8:12(C2xD4)	128,1660
C₈⋊₁₃(C₂×D₄) = D₄×D₈	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	C8:13(C2xD4)	128,2011
C₈⋊₁₄(C₂×D₄) = D₄×SD₁₆	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	C8:14(C2xD4)	128,2013
C₈⋊₁₅(C₂×D₄) = D₄×M₄(2)	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	C8:15(C2xD4)	128,1666
C₈⋊₁₆(C₂×D₄) = C₂×C₈⋊₇D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64	C8:16(C2xD4)	128,1780
C₈⋊₁₇(C₂×D₄) = C₂×C₈⋊₈D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64	C8:17(C2xD4)	128,1779
C₈⋊₁₈(C₂×D₄) = C₂×C₈⋊₉D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64	C8:18(C2xD4)	128,1659

Non-split extensions G=N.Q with N=C₈ and Q=C₂×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂×D₄) = M₄(2)⋊₈D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	64		C8.1(C2xD4)	128,1884
C₈.₂(C₂×D₄) = M₄(2)⋊₉D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32		C8.2(C2xD4)	128,1885
C₈.₃(C₂×D₄) = M₄(2)⋊₁₀D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32		C8.3(C2xD4)	128,1886
C₈.₄(C₂×D₄) = M₄(2)⋊₁₁D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32		C8.4(C2xD4)	128,1887
C₈.₅(C₂×D₄) = M₄(2).₂₀D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	64		C8.5(C2xD4)	128,1888
C₈.₆(C₂×D₄) = D₈⋊₅D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32		C8.6(C2xD4)	128,2005
C₈.₇(C₂×D₄) = SD₁₆⋊₂D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32		C8.7(C2xD4)	128,2007
C₈.₈(C₂×D₄) = SD₁₆⋊₃D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	64		C8.8(C2xD4)	128,2008
C₈.₉(C₂×D₄) = Q₁₆⋊₄D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	64		C8.9(C2xD4)	128,2009
C₈.₁₀(C₂×D₄) = Q₁₆⋊₅D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	64		C8.10(C2xD4)	128,2010
C₈.₁₁(C₂×D₄) = D₈○SD₁₆	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32	4	C8.11(C2xD4)	128,2022
C₈.₁₂(C₂×D₄) = D₈⋊₆D₄	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	16	4	C8.12(C2xD4)	128,2023
C₈.₁₃(C₂×D₄) = D₈○D₈	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	16	4+	C8.13(C2xD4)	128,2024
C₈.₁₄(C₂×D₄) = D₈○Q₁₆	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32	4-	C8.14(C2xD4)	128,2025
C₈.₁₅(C₂×D₄) = D₄○D₁₆	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32	4+	C8.15(C2xD4)	128,2147
C₈.₁₆(C₂×D₄) = D₄○SD₃₂	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	32	4	C8.16(C2xD4)	128,2148
C₈.₁₇(C₂×D₄) = Q₈○D₁₆	φ: C₂×D₄/C₄ → C₂² ⊆ Aut C₈	64	4-	C8.17(C2xD4)	128,2149
C₈.₁₈(C₂×D₄) = D₈⋊D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	16	8+	C8.18(C2xD4)	128,922
C₈.₁₉(C₂×D₄) = D₈.D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32	8-	C8.19(C2xD4)	128,923
C₈.₂₀(C₂×D₄) = C₂×C₈.D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64		C8.20(C2xD4)	128,1785
C₈.₂₁(C₂×D₄) = C₂⁴.₁₁₀D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32		C8.21(C2xD4)	128,1786
C₈.₂₂(C₂×D₄) = M₄(2)⋊₁₅D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32		C8.22(C2xD4)	128,1788
C₈.₂₃(C₂×D₄) = M₄(2)⋊₁₆D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32		C8.23(C2xD4)	128,1794
C₈.₂₄(C₂×D₄) = M₄(2)⋊₁₇D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64		C8.24(C2xD4)	128,1795
C₈.₂₅(C₂×D₄) = M₄(2).₃₇D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	16	8+	C8.25(C2xD4)	128,1800
C₈.₂₆(C₂×D₄) = M₄(2).₃₈D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32	8-	C8.26(C2xD4)	128,1801
C₈.₂₇(C₂×D₄) = C₂×C₈.₂D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64		C8.27(C2xD4)	128,1881
C₈.₂₈(C₂×D₄) = C₄².₂₄₇D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64		C8.28(C2xD4)	128,1882
C₈.₂₉(C₂×D₄) = SD₁₆⋊₆D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32		C8.29(C2xD4)	128,1998
C₈.₃₀(C₂×D₄) = D₈⋊₁₀D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32		C8.30(C2xD4)	128,1999
C₈.₃₁(C₂×D₄) = SD₁₆⋊₇D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32		C8.31(C2xD4)	128,2000
C₈.₃₂(C₂×D₄) = SD₁₆⋊₈D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64		C8.32(C2xD4)	128,2001
C₈.₃₃(C₂×D₄) = Q₁₆⋊₉D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64		C8.33(C2xD4)	128,2002
C₈.₃₄(C₂×D₄) = Q₁₆⋊₁₀D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64		C8.34(C2xD4)	128,2003
C₈.₃₅(C₂×D₄) = D₈⋊₁₁D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	16	8+	C8.35(C2xD4)	128,2020
C₈.₃₆(C₂×D₄) = D₈.₁₃D₄	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32	8-	C8.36(C2xD4)	128,2021
C₈.₃₇(C₂×D₄) = C₂×C₁₆⋊C₂²	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	32		C8.37(C2xD4)	128,2144
C₈.₃₈(C₂×D₄) = C₂×Q₃₂⋊C₂	φ: C₂×D₄/C₂² → C₂² ⊆ Aut C₈	64		C8.38(C2xD4)	128,2145
C₈.₃₉(C₂×D₄) = C₄⋊D₁₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.39(C2xD4)	128,978
C₈.₄₀(C₂×D₄) = C₄⋊Q₃₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.40(C2xD4)	128,979
C₈.₄₁(C₂×D₄) = C₁₆⋊₅D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.41(C2xD4)	128,980
C₈.₄₂(C₂×D₄) = C₈.₂₁D₈	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.42(C2xD4)	128,981
C₈.₄₃(C₂×D₄) = C₁₆⋊₃D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.43(C2xD4)	128,982
C₈.₄₄(C₂×D₄) = C₈.₇D₈	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.44(C2xD4)	128,983
C₈.₄₅(C₂×D₄) = C₂×D₃₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.45(C2xD4)	128,991
C₈.₄₆(C₂×D₄) = C₂×SD₆₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.46(C2xD4)	128,992
C₈.₄₇(C₂×D₄) = C₂×Q₆₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.47(C2xD4)	128,993
C₈.₄₈(C₂×D₄) = C₄○D₃₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64	2	C8.48(C2xD4)	128,994
C₈.₄₉(C₂×D₄) = C₃₂⋊C₂²	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	32	4+	C8.49(C2xD4)	128,995
C₈.₅₀(C₂×D₄) = Q₆₄⋊C₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64	4-	C8.50(C2xD4)	128,996
C₈.₅₁(C₂×D₄) = C₂×C₄⋊Q₁₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.51(C2xD4)	128,1877
C₈.₅₂(C₂×D₄) = C₂×C₈.₁₂D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.52(C2xD4)	128,1878
C₈.₅₃(C₂×D₄) = C₄².₃₆₀D₄	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.53(C2xD4)	128,1879
C₈.₅₄(C₂×D₄) = C₂²×D₁₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.54(C2xD4)	128,2140
C₈.₅₅(C₂×D₄) = C₂²×SD₃₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.55(C2xD4)	128,2141
C₈.₅₆(C₂×D₄) = C₂²×Q₃₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.56(C2xD4)	128,2142
C₈.₅₇(C₂×D₄) = C₂×C₄○D₁₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.57(C2xD4)	128,2143
C₈.₅₈(C₂×D₄) = D₁₆⋊C₂²	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	32	4	C8.58(C2xD4)	128,2146
C₈.₅₉(C₂×D₄) = C₄².₂₈₃C₂³	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₈	32	4	C8.59(C2xD4)	128,1687
C₈.₆₀(C₂×D₄) = D₈⋊₇D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32		C8.60(C2xD4)	128,916
C₈.₆₁(C₂×D₄) = Q₁₆⋊₇D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.61(C2xD4)	128,917
C₈.₆₂(C₂×D₄) = D₈⋊₈D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.62(C2xD4)	128,918
C₈.₆₃(C₂×D₄) = D₈.₉D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32		C8.63(C2xD4)	128,919
C₈.₆₄(C₂×D₄) = Q₁₆.₈D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.64(C2xD4)	128,920
C₈.₆₅(C₂×D₄) = D₈.₁₀D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.65(C2xD4)	128,921
C₈.₆₆(C₂×D₄) = Q₁₆.₁₀D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	4+	C8.66(C2xD4)	128,924
C₈.₆₇(C₂×D₄) = Q₁₆.D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	4	C8.67(C2xD4)	128,925
C₈.₆₈(C₂×D₄) = D₈.₃D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	4	C8.68(C2xD4)	128,926
C₈.₆₉(C₂×D₄) = D₈.₁₂D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64	4-	C8.69(C2xD4)	128,927
C₈.₇₀(C₂×D₄) = D₈⋊₂D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.70(C2xD4)	128,938
C₈.₇₁(C₂×D₄) = Q₁₆⋊₂D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.71(C2xD4)	128,939
C₈.₇₂(C₂×D₄) = D₈.₄D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.72(C2xD4)	128,940
C₈.₇₃(C₂×D₄) = Q₁₆.₄D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	128		C8.73(C2xD4)	128,941
C₈.₇₄(C₂×D₄) = D₈.₅D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.74(C2xD4)	128,942
C₈.₇₅(C₂×D₄) = Q₁₆.₅D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.75(C2xD4)	128,943
C₈.₇₆(C₂×D₄) = C₈.₃D₈	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	4	C8.76(C2xD4)	128,944
C₈.₇₇(C₂×D₄) = D₈⋊₃D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	16	4+	C8.77(C2xD4)	128,945
C₈.₇₈(C₂×D₄) = C₈.₅D₈	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	4-	C8.78(C2xD4)	128,946
C₈.₇₉(C₂×D₄) = D₈⋊₁₂D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32		C8.79(C2xD4)	128,2012
C₈.₈₀(C₂×D₄) = D₈⋊₁₃D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.80(C2xD4)	128,2015
C₈.₈₁(C₂×D₄) = Q₁₆⋊₁₂D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.81(C2xD4)	128,2017
C₈.₈₂(C₂×D₄) = D₄×Q₁₆	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.82(C2xD4)	128,2018
C₈.₈₃(C₂×D₄) = Q₁₆⋊₁₃D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.83(C2xD4)	128,2019
C₈.₈₄(C₂×D₄) = SD₁₆⋊₁₀D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32		C8.84(C2xD4)	128,2014
C₈.₈₅(C₂×D₄) = SD₁₆⋊₁₁D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.85(C2xD4)	128,2016
C₈.₈₆(C₂×D₄) = M₄(2)⋊₂₂D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32		C8.86(C2xD4)	128,1665
C₈.₈₇(C₂×D₄) = M₄(2)⋊₂₃D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	64		C8.87(C2xD4)	128,1667
C₈.₈₈(C₂×D₄) = M₄(2).₅₁D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	16	4	C8.88(C2xD4)	128,1688
C₈.₈₉(C₂×D₄) = M₄(2)○D₈	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₈	32	4	C8.89(C2xD4)	128,1689
C₈.₉₀(C₂×D₄) = C₂×C₂.D₁₆	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.90(C2xD4)	128,868
C₈.₉₁(C₂×D₄) = C₂×C₂.Q₃₂	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	128		C8.91(C2xD4)	128,869
C₈.₉₂(C₂×D₄) = C₂³.₂₄D₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.92(C2xD4)	128,870
C₈.₉₃(C₂×D₄) = C₂³.₃₉D₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.93(C2xD4)	128,871
C₈.₉₄(C₂×D₄) = C₂³.₄₀D₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.94(C2xD4)	128,872
C₈.₉₅(C₂×D₄) = C₂³.₄₁D₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.95(C2xD4)	128,873
C₈.₉₆(C₂×D₄) = C₂×M₅(2)⋊C₂	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.96(C2xD4)	128,878
C₈.₉₇(C₂×D₄) = C₂×C₈.₁₇D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.97(C2xD4)	128,879
C₈.₉₈(C₂×D₄) = C₂³.₂₁SD₁₆	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32	4	C8.98(C2xD4)	128,880
C₈.₉₉(C₂×D₄) = C₁₆⋊₇D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.99(C2xD4)	128,947
C₈.₁₀₀(C₂×D₄) = C₁₆.₁₉D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.100(C2xD4)	128,948
C₈.₁₀₁(C₂×D₄) = C₁₆⋊₈D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.101(C2xD4)	128,949
C₈.₁₀₂(C₂×D₄) = C₁₆⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.102(C2xD4)	128,950
C₈.₁₀₃(C₂×D₄) = C₁₆.D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.103(C2xD4)	128,951
C₈.₁₀₄(C₂×D₄) = C₁₆⋊₂D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.104(C2xD4)	128,952
C₈.₁₀₅(C₂×D₄) = D₄.₃D₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32	4+	C8.105(C2xD4)	128,953
C₈.₁₀₆(C₂×D₄) = D₄.₄D₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64	4-	C8.106(C2xD4)	128,954
C₈.₁₀₇(C₂×D₄) = D₄.₅D₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32	4	C8.107(C2xD4)	128,955
C₈.₁₀₈(C₂×D₄) = C₂×C₈.₁₈D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.108(C2xD4)	128,1781
C₈.₁₀₉(C₂×D₄) = (C₂×C₈)⋊₁₂D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.109(C2xD4)	128,1790
C₈.₁₁₀(C₂×D₄) = C₈.D₄⋊C₂	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.110(C2xD4)	128,1791
C₈.₁₁₁(C₂×D₄) = (C₂×C₈)⋊₁₄D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.111(C2xD4)	128,1793
C₈.₁₁₂(C₂×D₄) = C₂×D₄.₄D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.112(C2xD4)	128,1797
C₈.₁₁₃(C₂×D₄) = C₂×D₄.₅D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.113(C2xD4)	128,1798
C₈.₁₁₄(C₂×D₄) = C₂×D₈.C₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.114(C2xD4)	128,874
C₈.₁₁₅(C₂×D₄) = C₂³.₂₀SD₁₆	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32	4	C8.115(C2xD4)	128,875
C₈.₁₁₆(C₂×D₄) = C₂×D₈⋊₂C₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.116(C2xD4)	128,876
C₈.₁₁₇(C₂×D₄) = C₂³.₁₃D₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32	4	C8.117(C2xD4)	128,877
C₈.₁₁₈(C₂×D₄) = C₂⁴.₁₄₄D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.118(C2xD4)	128,1782
C₈.₁₁₉(C₂×D₄) = (C₂×C₈)⋊₁₁D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.119(C2xD4)	128,1789
C₈.₁₂₀(C₂×D₄) = (C₂×C₈)⋊₁₃D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.120(C2xD4)	128,1792
C₈.₁₂₁(C₂×D₄) = C₂×D₄.₃D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.121(C2xD4)	128,1796
C₈.₁₂₂(C₂×D₄) = M₄(2).₁₀C₂³	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32	4	C8.122(C2xD4)	128,1799
C₈.₁₂₃(C₂×D₄) = C₂×C₂³.C₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.123(C2xD4)	128,846
C₈.₁₂₄(C₂×D₄) = M₅(2).₁₉C₂²	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32	4	C8.124(C2xD4)	128,847
C₈.₁₂₅(C₂×D₄) = C₂×D₄.C₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.125(C2xD4)	128,848
C₈.₁₂₆(C₂×D₄) = M₅(2)⋊₁₂C₂²	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32	4	C8.126(C2xD4)	128,849
C₈.₁₂₇(C₂×D₄) = C₄².₂₆₅C₂³	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.127(C2xD4)	128,1662
C₈.₁₂₈(C₂×D₄) = C₄².₂₆₆C₂³	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	64		C8.128(C2xD4)	128,1664
C₈.₁₂₉(C₂×D₄) = C₂×C₈.₂₆D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₈	32		C8.129(C2xD4)	128,1686
C₈.₁₃₀(C₂×D₄) = C₂×C₂²⋊C₁₆	central extension (φ=1)	64		C8.130(C2xD4)	128,843
C₈.₁₃₁(C₂×D₄) = C₂⁴.₅C₈	central extension (φ=1)	32		C8.131(C2xD4)	128,844
C₈.₁₃₂(C₂×D₄) = (C₂×D₄).₅C₈	central extension (φ=1)	64		C8.132(C2xD4)	128,845
C₈.₁₃₃(C₂×D₄) = C₂×C₄⋊C₁₆	central extension (φ=1)	128		C8.133(C2xD4)	128,881
C₈.₁₃₄(C₂×D₄) = C₄⋊M₅(2)	central extension (φ=1)	64		C8.134(C2xD4)	128,882
C₈.₁₃₅(C₂×D₄) = C₄⋊C₄.₇C₈	central extension (φ=1)	64		C8.135(C2xD4)	128,883
C₈.₁₃₆(C₂×D₄) = C₂×C₈.C₈	central extension (φ=1)	32		C8.136(C2xD4)	128,884
C₈.₁₃₇(C₂×D₄) = M₄(2).₁C₈	central extension (φ=1)	32	4	C8.137(C2xD4)	128,885
C₈.₁₃₈(C₂×D₄) = D₄×C₁₆	central extension (φ=1)	64		C8.138(C2xD4)	128,899
C₈.₁₃₉(C₂×D₄) = C₁₆⋊₉D₄	central extension (φ=1)	64		C8.139(C2xD4)	128,900
C₈.₁₄₀(C₂×D₄) = C₁₆⋊₆D₄	central extension (φ=1)	64		C8.140(C2xD4)	128,901
C₈.₁₄₁(C₂×D₄) = C₁₆○D₈	central extension (φ=1)	32	2	C8.141(C2xD4)	128,902
C₈.₁₄₂(C₂×D₄) = D₈.C₈	central extension (φ=1)	32	4	C8.142(C2xD4)	128,903
C₈.₁₄₃(C₂×D₄) = C₄².₂₆₄C₂³	central extension (φ=1)	32		C8.143(C2xD4)	128,1661
C₈.₁₄₄(C₂×D₄) = C₄².₆₈₁C₂³	central extension (φ=1)	64		C8.144(C2xD4)	128,1663
C₈.₁₄₅(C₂×D₄) = C₂×C₈○D₈	central extension (φ=1)	32		C8.145(C2xD4)	128,1685

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Extensions 1→N→G→Q→1 with N=C8 and Q=C2×D4

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×D₄