Finite Group Databasebeta

#424×D127 #30647286

order16256
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#424×D127

Splittings

Fitting#424×C127 ⋊ C2
SylowC127 ⋊ C2×#424

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D127
commutator, socleC22×C127C23×C4
Fitting#424×C127C2
prime radicalC23×D127C2×C4
cosocleC2×C4×C127C24
hypercenter#424D127
hypocenterC127C2×#424
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C2×C4 ◁ #424

512 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 13066);