Finite Group Databasebeta

#95×D421 #41002683

order26944
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D421

Splittings

Fitting#95×C421 ⋊ C2
SylowC421 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D421
commutatorC2×C421C2×C42
Fitting#95×C421C2
socle, cosocleC23×C421C23
prime radicalC23×D421C22
hypercenter#95D421
hypocenterC421C2×#95
LCSG ▷ C2×C421 ▷ C421
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13472

Conjugacy classes & character table

4240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26944, 392);