Finite Group Databasebeta

#95×D409 #39909090

order26176
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D409

Splittings

Fitting#95×C409 ⋊ C2
SylowC409 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D409
commutatorC2×C409C2×C42
Fitting#95×C409C2
socle, cosocleC23×C409C23
prime radicalC23×D409C22
hypercenter#95D409
hypocenterC409C2×#95
LCSG ▷ C2×C409 ▷ C409
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13088

Conjugacy classes & character table

4120 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26176, 392);