Finite Group Databasebeta

C2×#13130461 #16795296

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13130461

Splittings

SylowC13 ⋊ C2×#1587

Subgroups

subgroupG/H
centerC23D4×#261
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC22×C13×Q16C4
socle, prime radicalC23×C13C4×D4
cosocleC4×Dic13C24
hypercenterC22×Q16#261
hypocenterC13C2×#1587
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×Q16

674 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

160 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1101945);