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Extensions 1→N→G→Q→1 with N=C2×C13⋊2C8 and Q=C2

Direct product G=N×Q with N=C2×C13⋊2C8 and Q=C2
dρLabelID
C22×C13⋊2C8416C2^2xC13:2C8416,141

Semidirect products G=N:Q with N=C2×C13⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C13⋊2C8)⋊1C2 = D52⋊6C4φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):1C2416,16
(C2×C13⋊2C8)⋊2C2 = D4⋊Dic13φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):2C2416,39
(C2×C13⋊2C8)⋊3C2 = D52.2C4φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C82084(C2xC13:2C8):3C2416,128
(C2×C13⋊2C8)⋊4C2 = C2×D4⋊D13φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):4C2416,152
(C2×C13⋊2C8)⋊5C2 = C2×D4.D13φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):5C2416,154
(C2×C13⋊2C8)⋊6C2 = C2×Q8⋊D13φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):6C2416,162
(C2×C13⋊2C8)⋊7C2 = D4.Dic13φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C82084(C2xC13:2C8):7C2416,169
(C2×C13⋊2C8)⋊8C2 = C52.C23φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C82084(C2xC13:2C8):8C2416,171
(C2×C13⋊2C8)⋊9C2 = D26⋊1C8φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):9C2416,27
(C2×C13⋊2C8)⋊10C2 = C52.55D4φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):10C2416,37
(C2×C13⋊2C8)⋊11C2 = C2×C8⋊D13φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):11C2416,121
(C2×C13⋊2C8)⋊12C2 = C2×C52.4C4φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8208(C2xC13:2C8):12C2416,142
(C2×C13⋊2C8)⋊13C2 = C2×C8×D13φ: trivial image208(C2xC13:2C8):13C2416,120

Non-split extensions G=N.Q with N=C2×C13⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C13⋊2C8).1C2 = C26.D8φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).1C2416,14
(C2×C13⋊2C8).2C2 = C52.Q8φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).2C2416,15
(C2×C13⋊2C8).3C2 = C26.Q16φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).3C2416,17
(C2×C13⋊2C8).4C2 = C52.53D4φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C82084(C2xC13:2C8).4C2416,29
(C2×C13⋊2C8).5C2 = Q8⋊Dic13φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).5C2416,42
(C2×C13⋊2C8).6C2 = C2×C13⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).6C2416,164
(C2×C13⋊2C8).7C2 = C26.7C42φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).7C2416,10
(C2×C13⋊2C8).8C2 = C52⋊3C8φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).8C2416,11
(C2×C13⋊2C8).9C2 = C52.8Q8φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).9C2416,21
(C2×C13⋊2C8).10C2 = C104⋊8C4φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).10C2416,22
(C2×C13⋊2C8).11C2 = C52.C8φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C82084(C2xC13:2C8).11C2416,73
(C2×C13⋊2C8).12C2 = C2×C13⋊C16φ: C2/C1 → C2 ⊆ Out C2×C13⋊2C8416(C2xC13:2C8).12C2416,72
(C2×C13⋊2C8).13C2 = C4×C13⋊2C8φ: trivial image416(C2xC13:2C8).13C2416,9
(C2×C13⋊2C8).14C2 = C8×Dic13φ: trivial image416(C2xC13:2C8).14C2416,20

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