Finite Group Databasebeta

#433×D107 #28345083

order13696
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4

Aliases

direct product#433×D107

Splittings

Fitting#433×C107 ⋊ C2
SylowC107 ⋊ C2×#433

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D107
commutator, socleC22×C107C23×C4
Fitting#433×C107C2
prime radicalC23×D107C2×C4
cosocleC2×C4×C107C24
hypercenter#433D107
hypocenterC107C2×#433
LCSG ▷ C22×C107 ▷ C107
UCSC1 ◁ C2×C4 ◁ #433

412 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3424

Conjugacy classes & character table

1540 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13696, 13132);