Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²xC₆

Direct product G=NxQ with N=C₂² and Q=C₂²xC₆

		d	ρ	Label	ID
C₂⁴xC₆		96		C2^4xC6	96,231

Semidirect products G=N:Q with N=C₂² and Q=C₂²xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂²xC₆) = C₂³xA₄	φ: C₂²xC₆/C₂³ → C₃ ⊆ Aut C₂²	24		C2^2:(C2^2xC6)	96,228
C₂²:₂(C₂²xC₆) = D₄xC₂xC₆	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂²	48		C2^2:2(C2^2xC6)	96,221

Non-split extensions G=N.Q with N=C₂² and Q=C₂²xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²xC₆) = C₆xC₄oD₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂²	48		C2^2.1(C2^2xC6)	96,223
C₂².₂(C₂²xC₆) = C₃x2₊¹⁺⁴	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂²	24	4	C2^2.2(C2^2xC6)	96,224
C₂².₃(C₂²xC₆) = C₃x2_-¹⁺⁴	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₂²	48	4	C2^2.3(C2^2xC6)	96,225
C₂².₄(C₂²xC₆) = C₆xC₂²:C₄	central extension (φ=1)	48		C2^2.4(C2^2xC6)	96,162
C₂².₅(C₂²xC₆) = C₆xC₄:C₄	central extension (φ=1)	96		C2^2.5(C2^2xC6)	96,163
C₂².₆(C₂²xC₆) = C₃xC₄²:C₂	central extension (φ=1)	48		C2^2.6(C2^2xC6)	96,164
C₂².₇(C₂²xC₆) = D₄xC₁₂	central extension (φ=1)	48		C2^2.7(C2^2xC6)	96,165
C₂².₈(C₂²xC₆) = Q₈xC₁₂	central extension (φ=1)	96		C2^2.8(C2^2xC6)	96,166
C₂².₉(C₂²xC₆) = Q₈xC₂xC₆	central extension (φ=1)	96		C2^2.9(C2^2xC6)	96,222
C₂².₁₀(C₂²xC₆) = C₃xC₂²wrC₂	central stem extension (φ=1)	24		C2^2.10(C2^2xC6)	96,167
C₂².₁₁(C₂²xC₆) = C₃xC₄:D₄	central stem extension (φ=1)	48		C2^2.11(C2^2xC6)	96,168
C₂².₁₂(C₂²xC₆) = C₃xC₂²:Q₈	central stem extension (φ=1)	48		C2^2.12(C2^2xC6)	96,169
C₂².₁₃(C₂²xC₆) = C₃xC₂².D₄	central stem extension (φ=1)	48		C2^2.13(C2^2xC6)	96,170
C₂².₁₄(C₂²xC₆) = C₃xC₄.₄D₄	central stem extension (φ=1)	48		C2^2.14(C2^2xC6)	96,171
C₂².₁₅(C₂²xC₆) = C₃xC₄².C₂	central stem extension (φ=1)	96		C2^2.15(C2^2xC6)	96,172
C₂².₁₆(C₂²xC₆) = C₃xC₄²:₂C₂	central stem extension (φ=1)	48		C2^2.16(C2^2xC6)	96,173
C₂².₁₇(C₂²xC₆) = C₃xC₄:₁D₄	central stem extension (φ=1)	48		C2^2.17(C2^2xC6)	96,174
C₂².₁₈(C₂²xC₆) = C₃xC₄:Q₈	central stem extension (φ=1)	96		C2^2.18(C2^2xC6)	96,175

׿

x

:

Z

F

o

wr

Q

<