Extensions 1→N→G→Q→1 with N=C₂ and Q=C₆²:₅C₄

Direct product G=NxQ with N=C₂ and Q=C₆²:₅C₄

		d	ρ	Label	ID
C₂xC₆²:₅C₄		144		C2xC6^2:5C4	288,809

Non-split extensions G=N.Q with N=C₂ and Q=C₆²:₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₆²:₅C₄) = C₆²:₇C₈	central extension (φ=1)	144		C2.1(C6^2:5C4)	288,305
C₂.₂(C₆²:₅C₄) = C₆².₁₅Q₈	central extension (φ=1)	288		C2.2(C6^2:5C4)	288,306
C₂.₃(C₆²:₅C₄) = C₆².₁₁₆D₄	central stem extension (φ=1)	144		C2.3(C6^2:5C4)	288,307
C₂.₄(C₆²:₅C₄) = (C₆xD₄).S₃	central stem extension (φ=1)	72		C2.4(C6^2:5C4)	288,308
C₂.₅(C₆²:₅C₄) = C₆².₃₈D₄	central stem extension (φ=1)	72		C2.5(C6^2:5C4)	288,309
C₂.₆(C₆²:₅C₄) = C₆².₁₁₇D₄	central stem extension (φ=1)	288		C2.6(C6^2:5C4)	288,310
C₂.₇(C₆²:₅C₄) = (C₆xC₁₂).C₄	central stem extension (φ=1)	144		C2.7(C6^2:5C4)	288,311
C₂.₈(C₆²:₅C₄) = C₆².₃₉D₄	central stem extension (φ=1)	72		C2.8(C6^2:5C4)	288,312

׿

x

:

Z

F

o

wr

Q

<