Extensions 1→N→G→Q→1 with N=C2×C26 and Q=Q8

Direct product G=N×Q with N=C2×C26 and Q=Q8
dρLabelID
Q8×C2×C26416Q8xC2xC26416,229

Semidirect products G=N:Q with N=C2×C26 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C26)⋊Q8 = C22⋊Dic26φ: Q8/C2C22 ⊆ Aut C2×C26208(C2xC26):Q8416,99
(C2×C26)⋊2Q8 = C13×C22⋊Q8φ: Q8/C4C2 ⊆ Aut C2×C26208(C2xC26):2Q8416,183
(C2×C26)⋊3Q8 = C52.48D4φ: Q8/C4C2 ⊆ Aut C2×C26208(C2xC26):3Q8416,145
(C2×C26)⋊4Q8 = C22×Dic26φ: Q8/C4C2 ⊆ Aut C2×C26416(C2xC26):4Q8416,212

Non-split extensions G=N.Q with N=C2×C26 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C26).Q8 = C52.53D4φ: Q8/C2C22 ⊆ Aut C2×C262084(C2xC26).Q8416,29
(C2×C26).2Q8 = C13×C8.C4φ: Q8/C4C2 ⊆ Aut C2×C262082(C2xC26).2Q8416,58
(C2×C26).3Q8 = C104.6C4φ: Q8/C4C2 ⊆ Aut C2×C262082(C2xC26).3Q8416,26
(C2×C26).4Q8 = C26.10C42φ: Q8/C4C2 ⊆ Aut C2×C26416(C2xC26).4Q8416,38
(C2×C26).5Q8 = C2×C26.D4φ: Q8/C4C2 ⊆ Aut C2×C26416(C2xC26).5Q8416,144
(C2×C26).6Q8 = C2×C523C4φ: Q8/C4C2 ⊆ Aut C2×C26416(C2xC26).6Q8416,146
(C2×C26).7Q8 = C13×C2.C42central extension (φ=1)416(C2xC26).7Q8416,45
(C2×C26).8Q8 = C4⋊C4×C26central extension (φ=1)416(C2xC26).8Q8416,177

׿
×
𝔽