Finite Group Databasebeta

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C3×C49×#1044 #28412968

order14700
isoclinismisoclinic class of #1044
automorphism?
homologyAbelianization (H1) = C3×C4×C49 · Schur multiplier (H2) = C5

Aliases

direct productC3×C49×#1044

Splittings

Fitting, HallC3×C52×C49 ⋊ C4
derived, SylowC52 ⋊ C3×C4×C49
HallC52×C49 ⋊ C3×C4
HallC3×C52 ⋊ C4×C49

Subgroups

subgroupG/H
center, hypercenterC3×C49#1044
commutator, hypocenterC52C3×C4×C49
FrattiniC7C3×C7×#1044
FittingC3×C52×C49C4
socleC3×C52×C7C4×C7
prime radicalC3×C7×C5⋊D5C2×C7
cosocleC7×C5⋊D5C2×C3×C7
LCSG ▷ C52
UCSC1 ◁ C3×C49

96 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1470 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14700, 147);