Finite Group Databasebeta

C2×#22549597 #30637005

order16256
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC2×#22549597

Splittings

SylowC127 ⋊ C2×#322

Subgroups

subgroupG/H
centerC2×C42C2×D127
commutatorC2×C127C2×C4×C8
FrattiniC42C22×D127
FittingC2×C4×C8×C127C2
socle, prime radicalC23×C127C42
cosocleC42×C127C23
hypercenterC2×C4×C8D127
hypocenterC127C2×#322
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C2×C42 ◁ C2×C4×C8

248 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4112 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 2785);