Extensions 1→N→G→Q→1 with N=C₆₂ and Q=C₂xC₄

Direct product G=NxQ with N=C₆₂ and Q=C₂xC₄

		d	ρ	Label	ID
C₂²xC₁₂₄		496		C2^2xC124	496,37

Semidirect products G=N:Q with N=C₆₂ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₂:₁(C₂xC₄) = C₂xC₄xD₃₁	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₆₂	248		C62:1(C2xC4)	496,28
C₆₂:₂(C₂xC₄) = C₂²xDic₃₁	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₆₂	496		C62:2(C2xC4)	496,35

Non-split extensions G=N.Q with N=C₆₂ and Q=C₂xC₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₂.₁(C₂xC₄) = C₈xD₃₁	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₆₂	248	2	C62.1(C2xC4)	496,3
C₆₂.₂(C₂xC₄) = C₈:D₃₁	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₆₂	248	2	C62.2(C2xC4)	496,4
C₆₂.₃(C₂xC₄) = C₄xDic₃₁	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₆₂	496		C62.3(C2xC4)	496,10
C₆₂.₄(C₂xC₄) = Dic₃₁:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₆₂	496		C62.4(C2xC4)	496,11
C₆₂.₅(C₂xC₄) = D₆₂:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Aut C₆₂	248		C62.5(C2xC4)	496,13
C₆₂.₆(C₂xC₄) = C₂xC₃₁:C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₆₂	496		C62.6(C2xC4)	496,8
C₆₂.₇(C₂xC₄) = C₄.Dic₃₁	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₆₂	248	2	C62.7(C2xC4)	496,9
C₆₂.₈(C₂xC₄) = C₄:Dic₃₁	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₆₂	496		C62.8(C2xC4)	496,12
C₆₂.₉(C₂xC₄) = C₂³.D₃₁	φ: C₂xC₄/C₂² → C₂ ⊆ Aut C₆₂	248		C62.9(C2xC4)	496,18
C₆₂.₁₀(C₂xC₄) = C₂²:C₄xC₃₁	central extension (φ=1)	248		C62.10(C2xC4)	496,20
C₆₂.₁₁(C₂xC₄) = C₄:C₄xC₃₁	central extension (φ=1)	496		C62.11(C2xC4)	496,21
C₆₂.₁₂(C₂xC₄) = M₄(2)xC₃₁	central extension (φ=1)	248	2	C62.12(C2xC4)	496,23

׿

x

:

Z

F

o

wr

Q

<