Extensions 1→N→G→Q→1 with N=C₄₈ and Q=C₄

Direct product G=N×Q with N=C₄₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₄₈		192		C4xC48	192,151

Semidirect products G=N:Q with N=C₄₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈⋊₁C₄ = C₂₄.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₄₈	48	4	C48:1C4	192,72
C₄₈⋊₂C₄ = C₄₈⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄₈	48	4	C48:2C4	192,71
C₄₈⋊₃C₄ = C₃×C₈.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₄₈	48	4	C48:3C4	192,171
C₄₈⋊₄C₄ = C₃×C₁₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄₈	48	4	C48:4C4	192,153
C₄₈⋊₅C₄ = C₄₈⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192		C48:5C4	192,63
C₄₈⋊₆C₄ = C₄₈⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192		C48:6C4	192,64
C₄₈⋊₇C₄ = C₃×C₁₆⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192		C48:7C4	192,172
C₄₈⋊₈C₄ = C₃×C₁₆⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192		C48:8C4	192,173
C₄₈⋊₉C₄ = Dic₃×C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192		C48:9C4	192,59
C₄₈⋊₁₀C₄ = C₄₈⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192		C48:10C4	192,61
C₄₈⋊₁₁C₄ = C₃×C₁₆⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192		C48:11C4	192,152

Non-split extensions G=N.Q with N=C₄₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈.₁C₄ = C₄₈.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	96	2	C48.1C4	192,65
C₄₈.₂C₄ = C₃×C₈.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	96	2	C48.2C4	192,174
C₄₈.₃C₄ = C₃⋊C₆₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192	2	C48.3C4	192,1
C₄₈.₄C₄ = C₂×C₃⋊C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	192		C48.4C4	192,57
C₄₈.₅C₄ = C₃⋊M₆(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	96	2	C48.5C4	192,58
C₄₈.₆C₄ = C₃×M₆(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₄₈	96	2	C48.6C4	192,176

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