Finite Group Databasebeta

C2×#99×D127 #30647181

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

Aliases

direct productC2×#99×D127

Splittings

FittingC2×#99×C127 ⋊ C2
SylowC127 ⋊ C22×#99

Subgroups

subgroupG/H
centerC22C22⋊C4×D127
commutatorC22×C127C23×C4
FrattiniC23C23×D127
FittingC2×#99×C127C2
socleC22×C127C2×C22⋊C4
prime radicalC22×D4×D127C2
cosocleC23×C127C24
hypercenterC2×#99D127
hypocenterC127C22×#99
LCSG ▷ C22×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C22 ◁ C24 ◁ C2×#99

1112 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1430 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 12961);