Finite Group Databasebeta

SD16×D827 #40996502

order26464
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D827

Splittings

FittingSD16×C827 ⋊ C2
SylowC827 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D827
commutator, cosocleC4×C827C23
FrattiniC4C22×D827
FittingSD16×C827C2
socleC2×C827C2×D4
prime radicalD4×D827C2
hypercenterSD16D827
hypocenterC827C2×SD16
LCSG ▷ C4×C827 ▷ C2×C827 ▷ C827
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6616

Conjugacy classes & character table

2905 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26464, 158);