Finite Group Databasebeta

#103×Dic239 #44484370

order30592
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#103×Dic239

Splittings

SylowC239 ⋊ C4×#103

Subgroups

subgroupG/H
centerC23D4×D239
commutatorC4×C239C2×C42
FrattiniC22×C4C22×D239
FittingC2×#103×C239C2
socle, prime radicalC23×C239C2×D4
cosocleC22×C4×C239C23
hypercenterC2×#103D239
hypocenterC239C4×#103
LCSG ▷ C4×C239 ▷ C2×C239 ▷ C239
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 30592

Conjugacy classes & character table

3388 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30592, 4332);