Finite Group Databasebeta

#137×Dic23 #15682218

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#137×Dic23

Splittings

SylowC23 ⋊ C4×#137

Subgroups

subgroupG/H
centerC22C2×D4×D23
commutatorC4×C23C23×C4
FrattiniC2×C4C23×D23
FittingC2×C23×#137C2
socleC22×C23C22×D4
prime radicalC2×#41×C23C22
cosocleC2×C4×C23C24
hypercenterC2×#137D23
hypocenterC23C4×#137
LCSG ▷ C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#137

484 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 13331);