Finite Group Databasebeta

C2×#13115179 #15864253

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productC2×#13115179

Splittings

SylowC13 ⋊ C2×#1878

Subgroups

subgroupG/H
centerC24D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC23×C13×Q16C2
socle, prime radicalC24×C13C2×D4
cosocleC22×C4×C13C24
hypercenterC23×Q16D13
hypocenterC13C2×#1878
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×Q16

1822 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 170902);