Finite Group Databasebeta

#41×Dic254 #30652310

order16256
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct product#41×Dic254

Splittings

SylowC127 ⋊ Q8×#41

Subgroups

subgroupG/H
centerC2×C4C23×D127
commutator, socle, cosocleC22×C127C25
FrattiniC22C24×D127
FittingC4×#41×C127C2
prime radicalC2×#41×C127C22
hypercenterC4×#41D127
hypocenterC127Q8×#41
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C2×C4 ◁ C4×#41

1068 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2570 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 18090);