Finite Group Databasebeta

#390×D127 #30641183

order16256
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4

Aliases

direct product#390×D127

Splittings

Fitting#390×C127 ⋊ C2
SylowC127 ⋊ C2×#390

Subgroups

subgroupG/H
center, FrattiniC23C23×D127
commutatorC22×C127C23×C4
Fitting#390×C127C2
socle, cosocleC23×C127C24
prime radicalC22×D4×D127C2
hypercenter#390D127
hypocenterC127C2×#390
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C23 ◁ #390

1360 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, 6963);