Finite Group Databasebeta

#95×#1057 #16785183

order3328
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct product#95×#1057

Splittings

SylowC13 ⋊ C8×#95

Subgroups

subgroupG/H
center, FrattiniC24C22×#261
commutatorC2×C13C42×C8
FittingC2×C13×#95C4
socle, prime radicalC24×C13C22×C4
cosocleC23×Dic13C23
hypercenterC2×#95#261
hypocenterC13C8×#95
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#95

1174 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1091832);