Finite Group Databasebeta

#101×D229 #28411459

order14656
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct product#101×D229

Splittings

Fitting#101×C229 ⋊ C2
SylowC229 ⋊ C2×#101

Subgroups

subgroupG/H
centerC2C22⋊C4×D229
commutatorC22×C229C22×C4
FrattiniC2×C4C22×D229
Fitting#101×C229C2
socleC2×C229C2×C22⋊C4
prime radicalC22×D229C2×C4
cosocleC2×C4×C229C23
hypercenter#101D229
hypocenterC229C2×#101
LCSG ▷ C22×C229 ▷ C2×C229 ▷ C229
UCSC1 ◁ C2 ◁ C2×C4 ◁ #101

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3664

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 527);