Extensions 1→N→G→Q→1 with N=C₂×C₂₆ and Q=C₂²

Direct product G=N×Q with N=C₂×C₂₆ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₂₆		208		C2^3xC26	208,51

Semidirect products G=N:Q with N=C₂×C₂₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₆)⋊C₂² = D₄×D₁₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₆	52	4+	(C2xC26):C2^2	208,39
(C₂×C₂₆)⋊₂C₂² = D₄×C₂₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104		(C2xC26):2C2^2	208,46
(C₂×C₂₆)⋊₃C₂² = C₂×C₁₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104		(C2xC26):3C2^2	208,44
(C₂×C₂₆)⋊₄C₂² = C₂³×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104		(C2xC26):4C2^2	208,50

Non-split extensions G=N.Q with N=C₂×C₂₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₆).C₂² = D₄⋊₂D₁₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₆	104	4-	(C2xC26).C2^2	208,40
(C₂×C₂₆).₂C₂² = C₁₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104	2	(C2xC26).2C2^2	208,48
(C₂×C₂₆).₃C₂² = C₄×Dic₁₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	208		(C2xC26).3C2^2	208,11
(C₂×C₂₆).₄C₂² = C₂₆.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	208		(C2xC26).4C2^2	208,12
(C₂×C₂₆).₅C₂² = C₅₂⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	208		(C2xC26).5C2^2	208,13
(C₂×C₂₆).₆C₂² = D₂₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104		(C2xC26).6C2^2	208,14
(C₂×C₂₆).₇C₂² = C₂³.D₁₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104		(C2xC26).7C2^2	208,19
(C₂×C₂₆).₈C₂² = C₂×Dic₂₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	208		(C2xC26).8C2^2	208,35
(C₂×C₂₆).₉C₂² = C₂×C₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104		(C2xC26).9C2^2	208,36
(C₂×C₂₆).₁₀C₂² = C₂×D₅₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104		(C2xC26).10C2^2	208,37
(C₂×C₂₆).₁₁C₂² = D₅₂⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	104	2	(C2xC26).11C2^2	208,38
(C₂×C₂₆).₁₂C₂² = C₂²×Dic₁₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₆	208		(C2xC26).12C2^2	208,43
(C₂×C₂₆).₁₃C₂² = C₁₃×C₂²⋊C₄	central extension (φ=1)	104		(C2xC26).13C2^2	208,21
(C₂×C₂₆).₁₄C₂² = C₁₃×C₄⋊C₄	central extension (φ=1)	208		(C2xC26).14C2^2	208,22
(C₂×C₂₆).₁₅C₂² = Q₈×C₂₆	central extension (φ=1)	208		(C2xC26).15C2^2	208,47

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁