Extensions 1→N→G→Q→1 with N=C₉₈ and Q=C₂²

Direct product G=N×Q with N=C₉₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₉₈		392		C2^2xC98	392,13

Semidirect products G=N:Q with N=C₉₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉₈⋊C₂² = C₂²×D₄₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₉₈	196		C98:C2^2	392,12

Non-split extensions G=N.Q with N=C₉₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉₈.₁C₂² = Dic₉₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₉₈	392	2-	C98.1C2^2	392,3
C₉₈.₂C₂² = C₄×D₄₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₉₈	196	2	C98.2C2^2	392,4
C₉₈.₃C₂² = D₁₉₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₉₈	196	2+	C98.3C2^2	392,5
C₉₈.₄C₂² = C₂×Dic₄₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₉₈	392		C98.4C2^2	392,6
C₉₈.₅C₂² = C₄₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₉₈	196	2	C98.5C2^2	392,7
C₉₈.₆C₂² = D₄×C₄₉	central extension (φ=1)	196	2	C98.6C2^2	392,9
C₉₈.₇C₂² = Q₈×C₄₉	central extension (φ=1)	392	2	C98.7C2^2	392,10

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