Finite Group Databasebeta

C2×#20300895 #28411325

order14656
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#20300895

Splittings

SylowC229 ⋊ C2×#95

Subgroups

subgroupG/H
centerC24C2×D229
commutatorC2×C229C2×C42
FrattiniC23C22×D229
FittingC23×C4×C229C2
socle, prime radicalC24×C229C22
cosocleC23×C229C23
hypercenterC23×C4D229
hypocenterC229C2×#95
LCSG ▷ C2×C229 ▷ C229
UCSC1 ◁ C24 ◁ C23×C4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14656

Conjugacy classes & character table

3688 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 393);