Finite Group Databasebeta

C2×#22549630 #30638420

order16256
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#22549630

Splittings

SylowC127 ⋊ C2×#336

Subgroups

subgroupG/H
centerC23×C4C2×D127
commutatorC2×C127C2×C4×C8
FrattiniC22×C4C22×D127
FittingC23×C8×C127C2
socle, prime radicalC24×C127C2×C4
cosocleC22×C4×C127C23
hypercenterC23×C8D127
hypocenterC127C2×#336
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C23×C4 ◁ C23×C8

528 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, 4200);