Finite Group Databasebeta

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C9×C31×#1042 #42124543

order27900
isoclinismisoclinic class of #1042
automorphism?
homologyAbelianization (H1) = C4×C9×C31 · Schur multiplier (H2) = C1

Aliases

direct productC9×C31×#1042

Splittings

Fitting, HallC52×C9×C31 ⋊ C4
derived, SylowC52 ⋊ C4×C9×C31
HallC52×C31 ⋊ C4×C9
HallC52×C9 ⋊ C4×C31

Subgroups

subgroupG/H
center, hypercenterC9×C31#1042
commutator, hypocenterC52C4×C9×C31
FrattiniC3C3×C31×#1042
FittingC52×C9×C31C4
socleC3×C52×C31C3×C4
prime radicalC3×C5×D5×C31C2×C3
cosocleC3×C5×D5C2×C3×C31
LCSG ▷ C52
UCSC1 ◁ C9×C31

78 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3627 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27900, 290);