Finite Group Databasebeta

C4×#11719648 #16769532

order3328
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productC4×#11719648

Splittings

FittingC2×C4×C13×#41 ⋊ C2
SylowC13 ⋊ C4×#585

Subgroups

subgroupG/H
centerC42C23×D13
commutatorC2×C13C25×C4
FrattiniC22C25×D13
FittingC2×C4×C13×#41C2
socle, cosocleC22×C13C26
prime radicalC2×#11719648C2
hypercenterC2×C4×#41D13
hypocenterC13C4×#585
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C42 ◁ C2×C4×#41

11346 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076181);