Finite Group Databasebeta

C2×#108×#261 #16797212

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

Aliases

direct productC2×#108×#261

Splittings

FittingC2×C13×#108 ⋊ C4
SylowC13 ⋊ C2×C4×#108

Subgroups

subgroupG/H
centerC2×C4D4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC2×C13×#108C4
socleC22×C13C4×C4⋊C4
prime radicalC23×D13C2×Q8
cosocleC2×C4×D13C24
hypercenterC2×#108#261
hypocenterC13C2×C4×#108
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#108

1086 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

196 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103861);