Finite Group Databasebeta

#95×D307 #34087730

order19648
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D307

Splittings

Fitting#95×C307 ⋊ C2
SylowC307 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D307
commutatorC2×C307C2×C42
Fitting#95×C307C2
socle, cosocleC23×C307C23
prime radicalC23×D307C22
hypercenter#95D307
hypocenterC307C2×#95
LCSG ▷ C2×C307 ▷ C307
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 9824

Conjugacy classes & character table

3100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19648, 392);