Finite Group Databasebeta

C23×Dic982 #44537549

order31424
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC23×Dic982

Splittings

SylowC491 ⋊ C23×Q8

Subgroups

subgroupG/H
centerC24C2×D491
commutator, cosocleC2×C491C25
FrattiniC2C24×D491
FittingC23×C4×C491C2
socle, prime radicalC24×C491C22
hypercenterC23×C4D491
hypocenterC491C23×Q8
LCSG ▷ C2×C491 ▷ C491
UCSC1 ◁ C24 ◁ C23×C4

850 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31424

Conjugacy classes & character table

7880 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31424, 1373);