Finite Group Databasebeta

#102×Dic113 #28390391

order14464
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4

Aliases

direct product#102×Dic113

Splittings

SylowC113 ⋊ C4×#102

Subgroups

subgroupG/H
centerC23D4×D113
commutatorC4×C113C2×C42
FrattiniC22×C4C22×D113
FittingC2×#102×C113C2
socleC23×C113C2×D4
prime radicalC22×D4×C113C22
cosocleC22×C4×C113C23
hypercenterC2×#102D113
hypocenterC113C4×#102
LCSG ▷ C4×C113 ▷ C2×C113 ▷ C113
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#102

396 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

1624 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 4327);