Finite Group Databasebeta

#436×D197 #38751395

order25216
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#436×D197

Splittings

Fitting#436×C197 ⋊ C2
SylowC197 ⋊ C2×#436

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D197
commutator, socleC22×C197C23×C4
Fitting#436×C197C2
prime radicalC2×D4×D197C4
cosocleC2×C4×C197C24
hypercenter#436D197
hypocenterC197C2×#436
LCSG ▷ C22×C197 ▷ C197
UCSC1 ◁ C2×C4 ◁ #436

552 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6304

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25216, 13193);