Finite Group Databasebeta

C2×#102×D127 #30647214

order16256
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productC2×#102×D127

Splittings

FittingC2×#102×C127 ⋊ C2
SylowC127 ⋊ C22×#102

Subgroups

subgroupG/H
centerC23D4×D127
commutatorC4×C127C23×C4
FrattiniC2×C4C23×D127
FittingC2×#102×C127C2
socleC23×C127C2×D4
prime radicalC22×D4×D127C2
cosocleC2×C4×C127C24
hypercenterC2×#102D127
hypocenterC127C22×#102
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#102

1072 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, 12994);