Extensions 1→N→G→Q→1 with N=C₈₈ and Q=C₄

Direct product G=N×Q with N=C₈₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₈₈		352		C4xC88	352,45

Semidirect products G=N:Q with N=C₈₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₈⋊₁C₄ = C₄₄.₅Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352		C88:1C4	352,24
C₈₈⋊₂C₄ = C₄₄.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352		C88:2C4	352,23
C₈₈⋊₃C₄ = C₈×Dic₁₁	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352		C88:3C4	352,19
C₈₈⋊₄C₄ = C₈₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352		C88:4C4	352,21
C₈₈⋊₅C₄ = C₁₁×C₂.D₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352		C88:5C4	352,56
C₈₈⋊₆C₄ = C₁₁×C₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352		C88:6C4	352,55
C₈₈⋊₇C₄ = C₁₁×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352		C88:7C4	352,46

Non-split extensions G=N.Q with N=C₈₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₈.₁C₄ = C₈₈.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.1C4	352,25
C₈₈.₂C₄ = C₁₁⋊C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352	2	C88.2C4	352,1
C₈₈.₃C₄ = C₂×C₁₁⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	352		C88.3C4	352,17
C₈₈.₄C₄ = C₄₄.C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.4C4	352,18
C₈₈.₅C₄ = C₁₁×C₈.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.5C4	352,57
C₈₈.₆C₄ = C₁₁×M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.6C4	352,59

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