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C2×C32×C25×D13 #26043346

order11700
isoclinismisoclinic class of D13
automorphism?
homologyAbelianization (H1) = C22×C32×C25 · Schur multiplier (H2) = C2×C3

Aliases

direct productC2×C32×C25×D13

Splittings

FittingC2×C32×C13×C25 ⋊ C2
derived, SylowC13 ⋊ C22×C32×C25
HallC32×C13×C25 ⋊ C22
HallC13×C25 ⋊ C22×C32
HallC32×C13 ⋊ C22×C25

Subgroups

subgroupG/H
center, hypercenterC2×C32×C25D13
commutator, hypocenterC13C22×C32×C25
FrattiniC5C2×C32×C5×D13
FittingC2×C32×C13×C25C2
socleC2×C32×C5×C13C2×C5
prime radicalC2×C32×C5×D13C5
cosocleC5×C13C22×C32×C5
LCSG ▷ C13
UCSC1 ◁ C2×C32×C25

180 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3600 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11700, 193);