Finite Group Databasebeta

D23×#408 #15681834

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD23×#408

Splittings

FittingC23×#408 ⋊ C2
SylowC23 ⋊ C2×#408

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D23
commutator, socleC22×C23C23×C4
FittingC23×#408C2
prime radicalC2×#41×D23C2
cosocleC2×C4×C23C24
hypercenter#408D23
hypocenterC23C2×#408
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C2×C4 ◁ #408

792 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 736

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, 12947);