Extensions 1→N→G→Q→1 with N=C₈ and Q=M₄(2)

Direct product G=N×Q with N=C₈ and Q=M₄(2)

		d	ρ	Label	ID
C₈×M₄(2)		64		C8xM4(2)	128,181

Semidirect products G=N:Q with N=C₈ and Q=M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁M₄(2) = C₈⋊₁M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₈	64	C8:1M4(2)	128,301
C₈⋊₂M₄(2) = C₈⋊M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₈	64	C8:2M4(2)	128,324
C₈⋊₃M₄(2) = C₈⋊₃M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₈	64	C8:3M4(2)	128,326
C₈⋊₄M₄(2) = C₈⋊₆D₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	64	C8:4M4(2)	128,321
C₈⋊₅M₄(2) = C₈⋊₉SD₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	64	C8:5M4(2)	128,322
C₈⋊₆M₄(2) = C₈⋊₆M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	64	C8:6M4(2)	128,187
C₈⋊₇M₄(2) = C₈⋊₇M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	64	C8:7M4(2)	128,299
C₈⋊₈M₄(2) = C₈⋊₈M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	64	C8:8M4(2)	128,298
C₈⋊₉M₄(2) = C₈⋊₉M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	64	C8:9M4(2)	128,183

Non-split extensions G=N.Q with N=C₈ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁M₄(2) = D₈⋊C₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₈	64		C8.1M4(2)	128,65
C₈.₂M₄(2) = Q₁₆⋊C₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₈	128		C8.2M4(2)	128,66
C₈.₃M₄(2) = C₈.₃₂D₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₈	16	4	C8.3M4(2)	128,68
C₈.₄M₄(2) = C₈.M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₈	128		C8.4M4(2)	128,325
C₈.₅M₄(2) = C₈.₅M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₈	16	4	C8.5M4(2)	128,897
C₈.₆M₄(2) = C₄.₁₆D₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	64		C8.6M4(2)	128,63
C₈.₇M₄(2) = Q₁₆⋊₁C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	128		C8.7M4(2)	128,64
C₈.₈M₄(2) = C₈⋊₆Q₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	128		C8.8M4(2)	128,323
C₈.₉M₄(2) = C₈≀C₂	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	16	2	C8.9M4(2)	128,67
C₈.₁₀M₄(2) = D₄.C₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	64	2	C8.10M4(2)	128,133
C₈.₁₁M₄(2) = C₈²⋊₁₅C₂	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	64		C8.11M4(2)	128,185
C₈.₁₂M₄(2) = C₈.₁₂M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₈	64		C8.12M4(2)	128,896
C₈.₁₃M₄(2) = C₁₆.C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	32	4	C8.13M4(2)	128,101
C₈.₁₄M₄(2) = C₁₆⋊₃C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.14M4(2)	128,103
C₈.₁₅M₄(2) = C₁₆⋊₄C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.15M4(2)	128,104
C₈.₁₆M₄(2) = C₄².₄₃Q₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.16M4(2)	128,300
C₈.₁₇M₄(2) = C₁₆⋊₁C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.17M4(2)	128,100
C₈.₁₈M₄(2) = C₁₆.₃C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	32	2	C8.18M4(2)	128,105
C₈.₁₉M₄(2) = C₈.₁₉M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	32	4	C8.19M4(2)	128,898
C₈.₂₀M₄(2) = C₁₆⋊C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.20M4(2)	128,45
C₈.₂₁M₄(2) = C₂³.C₁₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	32	4	C8.21M4(2)	128,132
C₈.₂₂M₄(2) = C₈.C₁₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	32	2	C8.22M4(2)	128,154
C₈.₂₃M₄(2) = C₄².₆C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.23M4(2)	128,895
C₈.₂₄M₄(2) = C₈⋊C₁₆	central extension (φ=1)	128		C8.24M4(2)	128,44
C₈.₂₅M₄(2) = C₂²⋊C₃₂	central extension (φ=1)	64		C8.25M4(2)	128,131
C₈.₂₆M₄(2) = C₄⋊C₃₂	central extension (φ=1)	128		C8.26M4(2)	128,153
C₈.₂₇M₄(2) = C₄².₁₃C₈	central extension (φ=1)	64		C8.27M4(2)	128,894

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Extensions 1→N→G→Q→1 with N=C8 and Q=M4(2)

Extensions 1→N→G→Q→1 with N=C₈ and Q=M₄(2)