Extensions 1→N→G→Q→1 with N=C₂×C₁₀₄ and Q=C₂

Direct product G=N×Q with N=C₂×C₁₀₄ and Q=C₂

		d	ρ	Label	ID
C₂²×C₁₀₄		416		C2^2xC104	416,190

Semidirect products G=N:Q with N=C₂×C₁₀₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀₄)⋊₁C₂ = D₂₆⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):1C2	416,27
(C₂×C₁₀₄)⋊₂C₂ = D₅₂⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):2C2	416,28
(C₂×C₁₀₄)⋊₃C₂ = C₁₃×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):3C2	416,48
(C₂×C₁₀₄)⋊₄C₂ = C₁₃×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):4C2	416,52
(C₂×C₁₀₄)⋊₅C₂ = C₂×D₁₀₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):5C2	416,124
(C₂×C₁₀₄)⋊₆C₂ = D₁₀₄⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208	2	(C2xC104):6C2	416,125
(C₂×C₁₀₄)⋊₇C₂ = C₂×C₁₀₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):7C2	416,123
(C₂×C₁₀₄)⋊₈C₂ = C₂×C₈×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):8C2	416,120
(C₂×C₁₀₄)⋊₉C₂ = C₂×C₈⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):9C2	416,121
(C₂×C₁₀₄)⋊₁₀C₂ = D₅₂.₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208	2	(C2xC104):10C2	416,122
(C₂×C₁₀₄)⋊₁₁C₂ = D₈×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):11C2	416,193
(C₂×C₁₀₄)⋊₁₂C₂ = C₁₃×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208	2	(C2xC104):12C2	416,196
(C₂×C₁₀₄)⋊₁₃C₂ = SD₁₆×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):13C2	416,194
(C₂×C₁₀₄)⋊₁₄C₂ = M₄(2)×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208		(C2xC104):14C2	416,191
(C₂×C₁₀₄)⋊₁₅C₂ = C₁₃×C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208	2	(C2xC104):15C2	416,192

Non-split extensions G=N.Q with N=C₂×C₁₀₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀₄).₁C₂ = C₅₂.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).1C2	416,21
(C₂×C₁₀₄).₂C₂ = C₅₂.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).2C2	416,23
(C₂×C₁₀₄).₃C₂ = C₁₃×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).3C2	416,53
(C₂×C₁₀₄).₄C₂ = C₁₃×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).4C2	416,55
(C₂×C₁₀₄).₅C₂ = C₁₀₄⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).5C2	416,25
(C₂×C₁₀₄).₆C₂ = C₂×Dic₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).6C2	416,126
(C₂×C₁₀₄).₇C₂ = C₁₀₄.₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208	2	(C2xC104).7C2	416,26
(C₂×C₁₀₄).₈C₂ = C₁₀₄⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).8C2	416,24
(C₂×C₁₀₄).₉C₂ = C₂×C₁₃⋊₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).9C2	416,18
(C₂×C₁₀₄).₁₀C₂ = C₅₂.₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208	2	(C2xC104).10C2	416,19
(C₂×C₁₀₄).₁₁C₂ = C₈×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).11C2	416,20
(C₂×C₁₀₄).₁₂C₂ = C₁₀₄⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).12C2	416,22
(C₂×C₁₀₄).₁₃C₂ = C₁₃×C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).13C2	416,57
(C₂×C₁₀₄).₁₄C₂ = Q₁₆×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).14C2	416,195
(C₂×C₁₀₄).₁₅C₂ = C₁₃×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208	2	(C2xC104).15C2	416,58
(C₂×C₁₀₄).₁₆C₂ = C₁₃×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).16C2	416,56
(C₂×C₁₀₄).₁₇C₂ = C₁₃×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	416		(C2xC104).17C2	416,47
(C₂×C₁₀₄).₁₈C₂ = C₁₃×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀₄	208	2	(C2xC104).18C2	416,60

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁