Extensions 1→N→G→Q→1 with N=C4 and Q=C2xC54

Direct product G=NxQ with N=C4 and Q=C2xC54
dρLabelID
C22xC108432C2^2xC108432,53

Semidirect products G=N:Q with N=C4 and Q=C2xC54
extensionφ:Q→Aut NdρLabelID
C4:(C2xC54) = D4xC54φ: C2xC54/C54C2 ⊆ Aut C4216C4:(C2xC54)432,54

Non-split extensions G=N.Q with N=C4 and Q=C2xC54
extensionφ:Q→Aut NdρLabelID
C4.1(C2xC54) = D8xC27φ: C2xC54/C54C2 ⊆ Aut C42162C4.1(C2xC54)432,25
C4.2(C2xC54) = SD16xC27φ: C2xC54/C54C2 ⊆ Aut C42162C4.2(C2xC54)432,26
C4.3(C2xC54) = Q16xC27φ: C2xC54/C54C2 ⊆ Aut C44322C4.3(C2xC54)432,27
C4.4(C2xC54) = Q8xC54φ: C2xC54/C54C2 ⊆ Aut C4432C4.4(C2xC54)432,55
C4.5(C2xC54) = M4(2)xC27central extension (φ=1)2162C4.5(C2xC54)432,24
C4.6(C2xC54) = C4oD4xC27central extension (φ=1)2162C4.6(C2xC54)432,56

׿
x
:
Z
F
o
wr
Q
<