Finite Group Databasebeta

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C4×#11719072 #16796735

order3328
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C43

Aliases

direct productC4×#11719072

Splittings

SylowC13 ⋊ C4×#405

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC2×C13C2×C43
FrattiniC23C23×#261
FittingC4×C13×C4⋊C4C4
socleC23×C13C23×C4
prime radicalC23×D13C22×C4
cosocleC22×Dic13C24
hypercenterC4×C4⋊C4#261
hypocenterC13C4×#405
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×C4⋊C4

1526 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103384);