Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C26

Direct product G=N×Q with N=C2×C4 and Q=C26
dρLabelID
C22×C52208C2^2xC52208,45

Semidirect products G=N:Q with N=C2×C4 and Q=C26
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1C26 = C13×C22⋊C4φ: C26/C13C2 ⊆ Aut C2×C4104(C2xC4):1C26208,21
(C2×C4)⋊2C26 = D4×C26φ: C26/C13C2 ⊆ Aut C2×C4104(C2xC4):2C26208,46
(C2×C4)⋊3C26 = C13×C4○D4φ: C26/C13C2 ⊆ Aut C2×C41042(C2xC4):3C26208,48

Non-split extensions G=N.Q with N=C2×C4 and Q=C26
extensionφ:Q→Aut NdρLabelID
(C2×C4).1C26 = C13×C4⋊C4φ: C26/C13C2 ⊆ Aut C2×C4208(C2xC4).1C26208,22
(C2×C4).2C26 = C13×M4(2)φ: C26/C13C2 ⊆ Aut C2×C41042(C2xC4).2C26208,24
(C2×C4).3C26 = Q8×C26φ: C26/C13C2 ⊆ Aut C2×C4208(C2xC4).3C26208,47

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