Finite Group Databasebeta

#102×Dic281 #49095120

order35968
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4

Aliases

direct product#102×Dic281

Splittings

SylowC281 ⋊ C4×#102

Subgroups

subgroupG/H
centerC23D4×D281
commutatorC4×C281C2×C42
FrattiniC22×C4C22×D281
FittingC2×#102×C281C2
socleC23×C281C2×D4
prime radicalC22×D4×C281C22
cosocleC22×C4×C281C23
hypercenterC2×#102D281
hypocenterC281C4×#102
LCSG ▷ C4×C281 ▷ C2×C281 ▷ C281
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#102

396 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17984

Conjugacy classes & character table

3976 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35968, 4327);