Finite Group Databasebeta

C2×#108×Dic13 #15861017

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#108×Dic13

Splittings

SylowC13 ⋊ C2×C4×#108

Subgroups

subgroupG/H
centerC22×C4D4×D13
commutatorC4×C13C22×C42
FrattiniC22×C4C23×D13
FittingC22×C13×#108C2
socleC23×C13C2×C4⋊C4
prime radicalC24×C13C2×Q8
cosocleC22×C4×C13C24
hypercenterC22×#108D13
hypocenterC13C2×C4×#108
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C22×#108

1086 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 167666);