Extensions 1→N→G→Q→1 with N=C₆² and Q=C₄

Direct product G=NxQ with N=C₆² and Q=C₄

		d	ρ	Label	ID
C₂xC₆xC₁₂		144		C2xC6xC12	144,178

Semidirect products G=N:Q with N=C₆² and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²:₁C₄ = C₆²:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₆²	12	4+	C6^2:1C4	144,136
C₆²:₂C₄ = C₂²xC₃²:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₆²	24		C6^2:2C4	144,191
C₆²:₃C₄ = C₃²xC₂²:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	72		C6^2:3C4	144,102
C₆²:₄C₄ = C₃xC₆.D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	24		C6^2:4C4	144,84
C₆²:₅C₄ = C₆²:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	72		C6^2:5C4	144,100
C₆²:₆C₄ = Dic₃xC₂xC₆	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	48		C6^2:6C4	144,166
C₆²:₇C₄ = C₂²xC₃:Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	144		C6^2:7C4	144,176

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁C₄ = C₂xC₃²:₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₆²	48		C6^2.1C4	144,134
C₆².₂C₄ = C₆².C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₆²	24	4-	C6^2.2C4	144,135
C₆².₃C₄ = C₃²xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	72		C6^2.3C4	144,105
C₆².₄C₄ = C₆xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	48		C6^2.4C4	144,74
C₆².₅C₄ = C₃xC₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	24	2	C6^2.5C4	144,75
C₆².₆C₄ = C₂xC₃²:₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	144		C6^2.6C4	144,90
C₆².₇C₄ = C₁₂.₅₈D₆	φ: C₄/C₂ → C₂ ⊆ Aut C₆²	72		C6^2.7C4	144,91

׿

x

:

Z

F

o

wr

Q

<