Finite Group Databasebeta

#383×D241 #44509833

order30848
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#383×D241

Splittings

Fitting#383×C241 ⋊ C2
SylowC241 ⋊ C2×#383

Subgroups

subgroupG/H
center, FrattiniC23C23×D241
commutatorC22×C241C23×C4
Fitting#383×C241C2
socle, cosocleC23×C241C24
prime radicalC23×D241C23
hypercenter#383D241
hypocenterC241C2×#383
LCSG ▷ C22×C241 ▷ C241
UCSC1 ◁ C23 ◁ #383

624 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15424

Conjugacy classes & character table

3416 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30848, 6898);