Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈⋊C₄

Direct product G=N×Q with N=C₂² and Q=C₈⋊C₄

		d	ρ	Label	ID
C₂²×C₈⋊C₄		128		C2^2xC8:C4	128,1602

Semidirect products G=N:Q with N=C₂² and Q=C₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₈⋊C₄) = C₄².₃₇₈D₄	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₂²	64		C2^2:1(C8:C4)	128,481
C₂²⋊₂(C₈⋊C₄) = C₂³.₃₆C₄²	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2:2(C8:C4)	128,484

Non-split extensions G=N.Q with N=C₂² and Q=C₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₈⋊C₄) = C₂³.₁₉C₄²	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.1(C8:C4)	128,12
C₂².₂(C₈⋊C₄) = C₄².₂Q₈	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.2(C8:C4)	128,13
C₂².₃(C₈⋊C₄) = C₄².₇C₈	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₂²	32		C2^2.3(C8:C4)	128,108
C₂².₄(C₈⋊C₄) = C₂³.₂₇C₄²	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.4(C8:C4)	128,184
C₂².₅(C₈⋊C₄) = C₂³.₂₁C₄²	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	32		C2^2.5(C8:C4)	128,14
C₂².₆(C₈⋊C₄) = C₄².₃Q₈	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.6(C8:C4)	128,15
C₂².₇(C₈⋊C₄) = M₅(2)⋊₇C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.7(C8:C4)	128,111
C₂².₈(C₈⋊C₄) = C₈⋊₉M₄(2)	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.8(C8:C4)	128,183
C₂².₉(C₈⋊C₄) = C₈.₂₃C₄²	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.9(C8:C4)	128,842
C₂².₁₀(C₈⋊C₄) = C₂.C₈²	central extension (φ=1)	128		C2^2.10(C8:C4)	128,5
C₂².₁₁(C₈⋊C₄) = C₁₆⋊C₈	central extension (φ=1)	128		C2^2.11(C8:C4)	128,45
C₂².₁₂(C₈⋊C₄) = C₄².₂C₈	central extension (φ=1)	32		C2^2.12(C8:C4)	128,107
C₂².₁₃(C₈⋊C₄) = C₂×C₈⋊C₈	central extension (φ=1)	128		C2^2.13(C8:C4)	128,180
C₂².₁₄(C₈⋊C₄) = C₂×C₂².₇C₄²	central extension (φ=1)	128		C2^2.14(C8:C4)	128,459
C₂².₁₅(C₈⋊C₄) = C₂×C₁₆⋊C₄	central extension (φ=1)	32		C2^2.15(C8:C4)	128,841

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