Finite Group Databasebeta

#102×Dic23 #15673214

order2944
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4

Aliases

direct product#102×Dic23

Splittings

SylowC23 ⋊ C4×#102

Subgroups

subgroupG/H
centerC23D4×D23
commutatorC4×C23C2×C42
FrattiniC22×C4C22×D23
FittingC2×C23×#102C2
socleC23×C23C2×D4
prime radicalC22×D4×C23C22
cosocleC22×C4×C23C23
hypercenterC2×#102D23
hypocenterC23C4×#102
LCSG ▷ C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#102

396 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

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, 4327);