Finite Group Databasebeta

C4×#11718403 #15868910

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC4×#11718403

Splittings

FittingC4×C13×#99 ⋊ C2
SylowC13 ⋊ C4×#458

Subgroups

subgroupG/H
centerC2×C4#88136
commutatorC23×C13C23×C4
FrattiniC24C23×D13
FittingC4×C13×#99C2
socleC22×C13C2×#120
prime radicalC2×#88251C22
cosocleC24×C13C24
hypercenterC4×#99D13
hypocenterC13C4×#458
LCSG ▷ C23×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×#99

1538 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 175559);