Extensions 1→N→G→Q→1 with N=C2×C54 and Q=C4

Direct product G=N×Q with N=C2×C54 and Q=C4
dρLabelID
C22×C108432C2^2xC108432,53

Semidirect products G=N:Q with N=C2×C54 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C54)⋊1C4 = C22⋊C4×C27φ: C4/C2C2 ⊆ Aut C2×C54216(C2xC54):1C4432,21
(C2×C54)⋊2C4 = C54.D4φ: C4/C2C2 ⊆ Aut C2×C54216(C2xC54):2C4432,19
(C2×C54)⋊3C4 = C22×Dic27φ: C4/C2C2 ⊆ Aut C2×C54432(C2xC54):3C4432,51

Non-split extensions G=N.Q with N=C2×C54 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C54).1C4 = M4(2)×C27φ: C4/C2C2 ⊆ Aut C2×C542162(C2xC54).1C4432,24
(C2×C54).2C4 = C2×C27⋊C8φ: C4/C2C2 ⊆ Aut C2×C54432(C2xC54).2C4432,9
(C2×C54).3C4 = C4.Dic27φ: C4/C2C2 ⊆ Aut C2×C542162(C2xC54).3C4432,10

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