Finite Group Databasebeta

C2×#103×#261 #16797033

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#103×#261

Splittings

FittingC2×C13×#103 ⋊ C4
SylowC13 ⋊ C2×C4×#103

Subgroups

subgroupG/H
centerC23D4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC2×C13×#103C4
socleC23×C13C4×D4
prime radicalC23×D13C2×D4
cosocleC2×C4×D13C24
hypercenterC2×#103#261
hypocenterC13C2×C4×#103
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

1726 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

196 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103682);