Finite Group Databasebeta

#103×Dic23 #15673219

order2944
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#103×Dic23

Splittings

SylowC23 ⋊ C4×#103

Subgroups

subgroupG/H
centerC23D4×D23
commutatorC4×C23C2×C42
FrattiniC22×C4C22×D23
FittingC2×C23×#103C2
socle, prime radicalC23×C23C2×D4
cosocleC22×C4×C23C23
hypercenterC2×#103D23
hypocenterC23C4×#103
LCSG ▷ C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2944

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 4332);