Finite Group Databasebeta

C2×#103×D127 #30647218

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

Aliases

direct productC2×#103×D127

Splittings

FittingC2×#103×C127 ⋊ C2
SylowC127 ⋊ C22×#103

Subgroups

subgroupG/H
centerC23D4×D127
commutatorC4×C127C23×C4
FrattiniC2×C4C23×D127
FittingC2×#103×C127C2
socleC23×C127C2×D4
prime radicalC23×D127D4
cosocleC2×C4×C127C24
hypercenterC2×#103D127
hypocenterC127C22×#103
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

816 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, 12998);