Finite Group Databasebeta

C23×Dic104 #16769401

order3328
isoclinismisoclinic class of D208
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC23×Dic104

Splittings

SylowC13 ⋊ C23×Q32

Subgroups

subgroupG/H
centerC24D104
commutator, cosocleC8×C13C25
FrattiniC8C24×D13
FittingC23×C13×C16C2
socle, prime radicalC24×C13D8
hypercenterC23×C16D13
hypocenterC13C23×Q32
LCSG ▷ C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×C8 ◁ C23×C16

2078 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076050);