Finite Group Databasebeta

#433×D293 #49167407

order37504
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4

Aliases

direct product#433×D293

Splittings

Fitting#433×C293 ⋊ C2
SylowC293 ⋊ C2×#433

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D293
commutator, socleC22×C293C23×C4
Fitting#433×C293C2
prime radicalC23×D293C2×C4
cosocleC2×C4×C293C24
hypercenter#433D293
hypocenterC293C2×#433
LCSG ▷ C22×C293 ▷ C293
UCSC1 ◁ C2×C4 ◁ #433

412 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 9376

Conjugacy classes & character table

4144 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37504, 13132);