Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₄²

Direct product G=N×Q with N=C₂₈ and Q=C₄²

		d	ρ	Label	ID
C₄²×C₂₈		448		C4^2xC28	448,782

Semidirect products G=N:Q with N=C₂₈ and Q=C₄²

extension	φ:Q→Aut N	d	Label	ID
C₂₈⋊C₄² = C₄⋊C₄×Dic₇	φ: C₄²/C₂² → C₂² ⊆ Aut C₂₈	448	C28:C4^2	448,509
C₂₈⋊₂C₄² = C₄×C₄⋊Dic₇	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448	C28:2C4^2	448,468
C₂₈⋊₃C₄² = C₄²×Dic₇	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448	C28:3C4^2	448,464
C₂₈⋊₄C₄² = C₄⋊C₄×C₂₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448	C28:4C4^2	448,786

Non-split extensions G=N.Q with N=C₂₈ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁C₄² = C₂₈.C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂₈	448		C28.1C4^2	448,86
C₂₈.₂C₄² = C₂₈.₂C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂₈	112		C28.2C4^2	448,89
C₂₈.₃C₄² = C₂₈.₃C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂₈	112		C28.3C4^2	448,112
C₂₈.₄C₄² = C₂₈.₄C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂₈	224		C28.4C4^2	448,115
C₂₈.₅C₄² = C₂₈.₅C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂₈	224		C28.5C4^2	448,531
C₂₈.₆C₄² = M₄(2)×Dic₇	φ: C₄²/C₂² → C₂² ⊆ Aut C₂₈	224		C28.6C4^2	448,651
C₂₈.₇C₄² = C₂₈.₇C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₂₈	224		C28.7C4^2	448,656
C₂₈.₈C₄² = C₂₈.₈C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	112		C28.8C4^2	448,80
C₂₈.₉C₄² = C₂₈.₉C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.9C4^2	448,108
C₂₈.₁₀C₄² = C₂₈.₁₀C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.10C4^2	448,109
C₂₈.₁₁C₄² = C₄×C₄.Dic₇	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.11C4^2	448,456
C₂₈.₁₂C₄² = C₂₈.₁₂C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.12C4^2	448,635
C₂₈.₁₃C₄² = C₄×C₇⋊C₁₆	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.13C4^2	448,17
C₂₈.₁₄C₄² = C₅₆.C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.14C4^2	448,18
C₂₈.₁₅C₄² = C₂₈.₁₅C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.15C4^2	448,23
C₂₈.₁₆C₄² = C₁₆×Dic₇	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.16C4^2	448,57
C₂₈.₁₇C₄² = C₁₁₂⋊₉C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.17C4^2	448,59
C₂₈.₁₈C₄² = C₁₁₂⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.18C4^2	448,69
C₂₈.₁₉C₄² = C₄²⋊Dic₇	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.19C4^2	448,88
C₂₈.₂₀C₄² = C₂³.₉D₂₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.20C4^2	448,114
C₂₈.₂₁C₄² = C₂₈.₂₁C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	4	C28.21C4^2	448,117
C₂₈.₂₂C₄² = C₂×C₄×C₇⋊C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.22C4^2	448,454
C₂₈.₂₃C₄² = C₂×C₄².D₇	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.23C4^2	448,455
C₂₈.₂₄C₄² = C₄²⋊₄Dic₇	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.24C4^2	448,466
C₂₈.₂₅C₄² = C₂×C₈×Dic₇	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.25C4^2	448,632
C₂₈.₂₆C₄² = C₂×C₅₆⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.26C4^2	448,634
C₂₈.₂₇C₄² = C₇×C₄²⋊₆C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	112		C28.27C4^2	448,143
C₂₈.₂₈C₄² = C₇×C₂².₄Q₁₆	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.28C4^2	448,144
C₂₈.₂₉C₄² = C₇×C₄.C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.29C4^2	448,145
C₂₈.₃₀C₄² = M₄(2)×C₂₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.30C4^2	448,812
C₂₈.₃₁C₄² = C₇×C₈○₂M₄(2)	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.31C4^2	448,813
C₂₈.₃₂C₄² = C₇×C₄.₉C₄²	central extension (φ=1)	112	4	C28.32C4^2	448,141
C₂₈.₃₃C₄² = C₇×C₄.₁₀C₄²	central extension (φ=1)	112	4	C28.33C4^2	448,142
C₂₈.₃₄C₄² = C₇×C₁₆⋊₅C₄	central extension (φ=1)	448		C28.34C4^2	448,150
C₂₈.₃₅C₄² = C₇×C₁₆⋊C₄	central extension (φ=1)	112	4	C28.35C4^2	448,151
C₂₈.₃₆C₄² = C₇×C₄²⋊₄C₄	central extension (φ=1)	448		C28.36C4^2	448,784
C₂₈.₃₇C₄² = C₁₄×C₈⋊C₄	central extension (φ=1)	448		C28.37C4^2	448,811

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Extensions 1→N→G→Q→1 with N=C28 and Q=C42

Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₄²