Extensions 1→N→G→Q→1 with N=C2×C122 and Q=C2

Direct product G=N×Q with N=C2×C122 and Q=C2
dρLabelID
C22×C122488C2^2xC122488,14

Semidirect products G=N:Q with N=C2×C122 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C122)⋊1C2 = D4×C61φ: C2/C1C2 ⊆ Aut C2×C1222442(C2xC122):1C2488,10
(C2×C122)⋊2C2 = C61⋊D4φ: C2/C1C2 ⊆ Aut C2×C1222442(C2xC122):2C2488,8
(C2×C122)⋊3C2 = C22×D61φ: C2/C1C2 ⊆ Aut C2×C122244(C2xC122):3C2488,13

Non-split extensions G=N.Q with N=C2×C122 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C122).C2 = C2×Dic61φ: C2/C1C2 ⊆ Aut C2×C122488(C2xC122).C2488,7

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