Extensions 1→N→G→Q→1 with N=C₂₈ and Q=M₄(2)

Direct product G=N×Q with N=C₂₈ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂₈		224		M4(2)xC28	448,812

Semidirect products G=N:Q with N=C₂₈ and Q=M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₂₈⋊₁M₄(2) = C₂₈⋊M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	224	C28:1M4(2)	448,371
C₂₈⋊₂M₄(2) = C₂₈⋊₂M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	224	C28:2M4(2)	448,372
C₂₈⋊₃M₄(2) = C₂₈⋊₃M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	224	C28:3M4(2)	448,546
C₂₈⋊₄M₄(2) = C₈⋊₆D₂₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	224	C28:4M4(2)	448,222
C₂₈⋊₅M₄(2) = C₄×C₈⋊D₇	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	224	C28:5M4(2)	448,221
C₂₈⋊₆M₄(2) = C₇×C₈⋊₆D₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	224	C28:6M4(2)	448,844
C₂₈⋊₇M₄(2) = C₂₈⋊₇M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	224	C28:7M4(2)	448,458
C₂₈⋊₈M₄(2) = C₄×C₄.Dic₇	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	224	C28:8M4(2)	448,456
C₂₈⋊₉M₄(2) = C₇×C₄⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	224	C28:9M4(2)	448,831

Non-split extensions G=N.Q with N=C₂₈ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁M₄(2) = C₂₈.₅₃D₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	448		C28.1M4(2)	448,36
C₂₈.₂M₄(2) = C₂₈.₃₉SD₁₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	448		C28.2M4(2)	448,37
C₂₈.₃M₄(2) = D₂₈⋊₂C₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	224		C28.3M4(2)	448,40
C₂₈.₄M₄(2) = Dic₁₄⋊₂C₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	448		C28.4M4(2)	448,41
C₂₈.₅M₄(2) = C₁₁₂⋊C₄	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	112	4	C28.5M4(2)	448,69
C₂₈.₆M₄(2) = M₅(2)⋊D₇	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	112	4	C28.6M4(2)	448,71
C₂₈.₇M₄(2) = C₂₈.₅₇D₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	224		C28.7M4(2)	448,91
C₂₈.₈M₄(2) = C₂₈.₂₆Q₁₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	448		C28.8M4(2)	448,92
C₂₈.₉M₄(2) = C₂₈.M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	448		C28.9M4(2)	448,365
C₂₈.₁₀M₄(2) = C₄².₂₀₂D₁₄	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	224		C28.10M4(2)	448,369
C₂₈.₁₁M₄(2) = C₄².₂₁₀D₁₄	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₈	448		C28.11M4(2)	448,558
C₂₈.₁₂M₄(2) = C₄.₈Dic₂₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	448		C28.12M4(2)	448,13
C₂₈.₁₃M₄(2) = C₄.₁₇D₅₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	224		C28.13M4(2)	448,16
C₂₈.₁₄M₄(2) = C₅₆⋊₁₁Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	448		C28.14M4(2)	448,213
C₂₈.₁₅M₄(2) = C₅₆⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	448		C28.15M4(2)	448,12
C₂₈.₁₆M₄(2) = Dic₇⋊C₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	448		C28.16M4(2)	448,58
C₂₈.₁₇M₄(2) = D₁₄⋊C₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	224		C28.17M4(2)	448,64
C₂₈.₁₈M₄(2) = C₄².₂₈₂D₁₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	224		C28.18M4(2)	448,219
C₂₈.₁₉M₄(2) = C₇×D₄⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	224		C28.19M4(2)	448,129
C₂₈.₂₀M₄(2) = C₇×Q₈⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	448		C28.20M4(2)	448,130
C₂₈.₂₁M₄(2) = C₇×C₈⋊₄Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₈	448		C28.21M4(2)	448,854
C₂₈.₂₂M₄(2) = C₅₆⋊₂C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.22M4(2)	448,14
C₂₈.₂₃M₄(2) = C₅₆⋊₁C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.23M4(2)	448,15
C₂₈.₂₄M₄(2) = C₂₈.₁₅C₄²	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.24M4(2)	448,23
C₂₈.₂₅M₄(2) = C₅₆.D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.25M4(2)	448,110
C₂₈.₂₆M₄(2) = C₄².₇Dic₇	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.26M4(2)	448,460
C₂₈.₂₇M₄(2) = C₄².₂₇₉D₁₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.27M4(2)	448,11
C₂₈.₂₈M₄(2) = C₂₈⋊C₁₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.28M4(2)	448,19
C₂₈.₂₉M₄(2) = C₅₆.₉₁D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.29M4(2)	448,106
C₂₈.₃₀M₄(2) = C₄².₆Dic₇	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.30M4(2)	448,459
C₂₈.₃₁M₄(2) = C₇×C₈⋊₂C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.31M4(2)	448,138
C₂₈.₃₂M₄(2) = C₇×C₈⋊₁C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.32M4(2)	448,139
C₂₈.₃₃M₄(2) = C₇×C₁₆⋊C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.33M4(2)	448,151
C₂₈.₃₄M₄(2) = C₇×C₂³.C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.34M4(2)	448,153
C₂₈.₃₅M₄(2) = C₇×C₄².₆C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.35M4(2)	448,840
C₂₈.₃₆M₄(2) = C₇×C₈⋊C₈	central extension (φ=1)	448		C28.36M4(2)	448,126
C₂₈.₃₇M₄(2) = C₇×C₂²⋊C₁₆	central extension (φ=1)	224		C28.37M4(2)	448,152
C₂₈.₃₈M₄(2) = C₇×C₄⋊C₁₆	central extension (φ=1)	448		C28.38M4(2)	448,167
C₂₈.₃₉M₄(2) = C₇×C₄².₁₂C₄	central extension (φ=1)	224		C28.39M4(2)	448,839

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Extensions 1→N→G→Q→1 with N=C28 and Q=M4(2)

Extensions 1→N→G→Q→1 with N=C₂₈ and Q=M₄(2)