Finite Group Databasebeta

Q16×D977 #44530682

order31264
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productQ16×D977

Splittings

FittingQ16×C977 ⋊ C2
SylowC977 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC2D4×D977
commutator, cosocleC4×C977C23
FrattiniC4C22×D977
FittingQ16×C977C2
socleC2×C977C2×D4
prime radicalC2×D977D4
hypercenterQ16D977
hypocenterC977C2×Q16
LCSG ▷ C4×C977 ▷ C2×C977 ▷ C977
UCSC1 ◁ C2 ◁ C4 ◁ Q16

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15632

Conjugacy classes & character table

3430 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31264, 162);